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Model: SNSFL/SNSFL-Public-Release
Source: Original Platform

IMC_05012026_s1/SNSFT-PSY-103A-20260501 (1).lean

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+-- ============================================================
+-- SNSFT-PSY-103A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Deficiency Need ⊕ Belonging Need
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:33.933Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+-- PARENT B: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_103A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.54782609
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 1.50292391
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_103A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_103A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-103A-20260501
+-- COLLISION:    Deficiency Need ⊕ Belonging Need
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:33.933Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-103A-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-103A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:37.240Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_103A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.54782609
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 1.50292391
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_103A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_103A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-103A-20260501
+-- COLLISION:    Belonging Need ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:37.240Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-103A-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-103A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Deficiency Need ⊕ Belonging Need
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:39.335Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+-- PARENT B: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_103A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.54782609
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 1.50292391
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_103A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_103A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-103A-20260501
+-- COLLISION:    Deficiency Need ⊕ Belonging Need
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:39.335Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-103A-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-103A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:28.121Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_103A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.54782609
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 1.50292391
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_103A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_103A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-103A-20260501
+-- COLLISION:    Belonging Need ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:28.121Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-103A-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-103A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:32.899Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_103A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.54782609
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 1.50292391
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_103A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_103A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-103A-20260501
+-- COLLISION:    Belonging Need ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:32.899Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10A1-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10A1-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Internal Locus ⊕ External Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:27.279Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+-- PARENT B: External Locus [LOCUS] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10A1_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.22031519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10A1_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10A1_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10A1-20260501
+-- COLLISION:    Internal Locus ⊕ External Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:27.279Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10A1-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10A1-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Internal Locus ⊕ External Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:26.147Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+-- PARENT B: External Locus [LOCUS] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10A1_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.22031519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10A1_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10A1_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10A1-20260501
+-- COLLISION:    Internal Locus ⊕ External Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:26.147Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10A1-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10A1-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: External Locus ⊕ Internal Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:33.662Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: External Locus [LOCUS] τ=0.1818 SHATTER
+-- PARENT B: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10A1_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.22031519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10A1_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10A1_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10A1-20260501
+-- COLLISION:    External Locus ⊕ Internal Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:33.662Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10AE-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10AE-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Self-Actualization ⊕ Anxious Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:16.800Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Self-Actualization [MASLOW] τ=0.1176 TRUE_LOCK
+-- PARENT B: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10AE_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.95000000
+def tau_out : ℝ := 0.0149732620
+def IM_out  : ℝ := 2.77613643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10AE_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10AE_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10AE-20260501
+-- COLLISION:    Self-Actualization ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:16.800Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10AE-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10AE-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Anxious Attachment ⊕ Self-Actualization
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:33.002Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+-- PARENT B: Self-Actualization [MASLOW] τ=0.1176 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10AE_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.95000000
+def tau_out : ℝ := 0.0149732620
+def IM_out  : ℝ := 2.77613643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10AE_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10AE_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10AE-20260501
+-- COLLISION:    Anxious Attachment ⊕ Self-Actualization
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:33.002Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10D7-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10D7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: External Regulation ⊕ Secure Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:17.856Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: External Regulation [SDT] τ=0.2000 SHATTER
+-- PARENT B: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10D7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.62962963
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0317647059
+def IM_out  : ℝ := 2.12144296
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10D7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10D7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10D7-20260501
+-- COLLISION:    External Regulation ⊕ Secure Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:17.856Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10D7-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10D7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Secure Attachment ⊕ External Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:41.561Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+-- PARENT B: External Regulation [SDT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10D7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.62962963
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0317647059
+def IM_out  : ℝ := 2.12144296
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10D7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10D7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10D7-20260501
+-- COLLISION:    Secure Attachment ⊕ External Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:41.561Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10D7-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10D7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: External Regulation ⊕ Secure Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:12.656Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: External Regulation [SDT] τ=0.2000 SHATTER
+-- PARENT B: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10D7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.62962963
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0317647059
+def IM_out  : ℝ := 2.12144296
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10D7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10D7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10D7-20260501
+-- COLLISION:    External Regulation ⊕ Secure Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:12.656Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10F5-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10F5-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Anxious Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:42.338Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10F5_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0149732620
+def IM_out  : ℝ := 2.70768643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10F5_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10F5_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10F5-20260501
+-- COLLISION:    Committed Action ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:42.338Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10F5-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10F5-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Anxious Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:25.050Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10F5_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0149732620
+def IM_out  : ℝ := 2.70768643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10F5_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10F5_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10F5-20260501
+-- COLLISION:    Committed Action ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:25.050Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-10F5-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-10F5-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Anxious Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:17.978Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_10F5_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0149732620
+def IM_out  : ℝ := 2.70768643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_10F5_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_10F5_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-10F5-20260501
+-- COLLISION:    Committed Action ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:17.978Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-112B-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-112B-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:20.862Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_112B_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.55709643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_112B_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_112B_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-112B-20260501
+-- COLLISION:    Committed Action ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:20.862Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-112B-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-112B-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:43.555Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_112B_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.55709643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_112B_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_112B_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-112B-20260501
+-- COLLISION:    Committed Action ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:43.555Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-112B-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-112B-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:36.144Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_112B_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.55709643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_112B_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_112B_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-112B-20260501
+-- COLLISION:    Committed Action ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:36.144Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1172-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1172-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Self-Actualization
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:06.318Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Self-Actualization [MASLOW] τ=0.1176 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1172_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.95000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.62554643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1172_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1172_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1172-20260501
+-- COLLISION:    Proximal Defense ⊕ Self-Actualization
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:06.318Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1172-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1172-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Self-Actualization ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:53.289Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Self-Actualization [MASLOW] τ=0.1176 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1172_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.66785714
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.95000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.62554643
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1172_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1172_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1172-20260501
+-- COLLISION:    Self-Actualization ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:53.289Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1182-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1182-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Cognitive Reappraisal ⊕ Amotivation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:35.117Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Cognitive Reappraisal [EM-REG] τ=0.0875 TRUE_LOCK
+-- PARENT B: Amotivation [SDT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1182_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.61538462
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0487500000
+def IM_out  : ℝ := 2.18408154
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1182_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1182_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1182-20260501
+-- COLLISION:    Cognitive Reappraisal ⊕ Amotivation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:35.117Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1182-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1182-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Cognitive Reappraisal ⊕ Amotivation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:33.642Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Cognitive Reappraisal [EM-REG] τ=0.0875 TRUE_LOCK
+-- PARENT B: Amotivation [SDT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1182_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.61538462
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0487500000
+def IM_out  : ℝ := 2.18408154
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1182_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1182_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1182-20260501
+-- COLLISION:    Cognitive Reappraisal ⊕ Amotivation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:33.642Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-11BA-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-11BA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:12.530Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_11BA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.71724138
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0139423077
+def IM_out  : ℝ := 2.50149345
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_11BA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_11BA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-11BA-20260501
+-- COLLISION:    Terror Integration ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:12.530Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-11BA-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-11BA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:30.052Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_11BA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.71724138
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0139423077
+def IM_out  : ℝ := 2.50149345
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_11BA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_11BA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-11BA-20260501
+-- COLLISION:    Terror Integration ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:30.052Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-11BA-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-11BA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:40.488Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_11BA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.71724138
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0139423077
+def IM_out  : ℝ := 2.50149345
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_11BA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_11BA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-11BA-20260501
+-- COLLISION:    Terror Integration ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:40.488Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-11BA-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-11BA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:06.580Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_11BA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.71724138
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0139423077
+def IM_out  : ℝ := 2.50149345
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_11BA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_11BA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-11BA-20260501
+-- COLLISION:    Terror Integration ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:06.580Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-11BA-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-11BA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Manager Part ⊕ Terror Integration
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:35.328Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Manager Part [IFS] τ=0.1538 SHATTER
+-- PARENT B: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_11BA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.71724138
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0139423077
+def IM_out  : ℝ := 2.50149345
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_11BA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_11BA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-11BA-20260501
+-- COLLISION:    Manager Part ⊕ Terror Integration
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:35.328Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1272-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1272-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Safety Need ⊕ Learned Helplessness
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:27.763Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Safety Need [MASLOW] τ=0.1167 TRUE_LOCK
+-- PARENT B: Learned Helplessness [LOCUS] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1272_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.54545455
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0550000000
+def IM_out  : ℝ := 1.33539727
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1272_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1272_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1272-20260501
+-- COLLISION:    Safety Need ⊕ Learned Helplessness
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:27.763Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-12E7-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-12E7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Firefighter Part ⊕ Reappraisal
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:28.108Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Firefighter Part [IFS] τ=0.2000 SHATTER
+-- PARENT B: Reappraisal [COG-DIS] τ=0.0750 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_12E7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.05000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0767045455
+def IM_out  : ℝ := 2.30245519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_12E7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_12E7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-12E7-20260501
+-- COLLISION:    Firefighter Part ⊕ Reappraisal
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:28.108Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-12E7-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-12E7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Reappraisal ⊕ Firefighter Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:44.336Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Reappraisal [COG-DIS] τ=0.0750 TRUE_LOCK
+-- PARENT B: Firefighter Part [IFS] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_12E7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.05000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0767045455
+def IM_out  : ℝ := 2.30245519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_12E7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_12E7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-12E7-20260501
+-- COLLISION:    Reappraisal ⊕ Firefighter Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:44.336Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-12E7-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-12E7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Reappraisal ⊕ Firefighter Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:09.041Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Reappraisal [COG-DIS] τ=0.0750 TRUE_LOCK
+-- PARENT B: Firefighter Part [IFS] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_12E7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.05000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0767045455
+def IM_out  : ℝ := 2.30245519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_12E7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_12E7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-12E7-20260501
+-- COLLISION:    Reappraisal ⊕ Firefighter Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:09.041Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-12E7-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-12E7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Reappraisal ⊕ Firefighter Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:20.460Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Reappraisal [COG-DIS] τ=0.0750 TRUE_LOCK
+-- PARENT B: Firefighter Part [IFS] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_12E7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.05000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0767045455
+def IM_out  : ℝ := 2.30245519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_12E7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_12E7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-12E7-20260501
+-- COLLISION:    Reappraisal ⊕ Firefighter Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:20.460Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-13C4-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-13C4-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ Anxious Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:18.339Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_13C4_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.42566519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_13C4_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_13C4_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-13C4-20260501
+-- COLLISION:    Terror Integration ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:18.339Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-147A-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-147A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Safety ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:35.212Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Safety [EP-APPA] τ=0.0795 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_147A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.67692308
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0443181818
+def IM_out  : ℝ := 2.61057769
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_147A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_147A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-147A-20260501
+-- COLLISION:    EP Safety ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:35.212Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-147A-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-147A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Safety ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:40.380Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Safety [EP-APPA] τ=0.0795 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_147A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.67692308
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0443181818
+def IM_out  : ℝ := 2.61057769
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_147A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_147A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-147A-20260501
+-- COLLISION:    EP Safety ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:40.380Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-147A-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-147A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Safety ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:07.015Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Safety [EP-APPA] τ=0.0795 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_147A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.67692308
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0443181818
+def IM_out  : ℝ := 2.61057769
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_147A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_147A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-147A-20260501
+-- COLLISION:    EP Safety ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:07.015Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-147A-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-147A-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Safety ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:21.110Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Safety [EP-APPA] τ=0.0795 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_147A_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.67692308
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0443181818
+def IM_out  : ℝ := 2.61057769
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_147A_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_147A_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-147A-20260501
+-- COLLISION:    EP Safety ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:21.110Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14A0-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14A0-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Internal Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:15.647Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14A0_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.08341519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14A0_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14A0_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14A0-20260501
+-- COLLISION:    Proximal Defense ⊕ Internal Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:15.647Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14A0-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14A0-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Internal Locus ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:25.215Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14A0_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.08341519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14A0_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14A0_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14A0-20260501
+-- COLLISION:    Internal Locus ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:25.215Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14A0-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14A0-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Internal Locus ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:26.403Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14A0_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.08341519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14A0_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14A0_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14A0-20260501
+-- COLLISION:    Internal Locus ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:26.403Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14A0-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14A0-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Internal Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:12.296Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14A0_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.08341519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14A0_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14A0_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14A0-20260501
+-- COLLISION:    Proximal Defense ⊕ Internal Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:12.296Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14A0-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14A0-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Internal Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:13.165Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14A0_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.55000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.08341519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14A0_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14A0_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14A0-20260501
+-- COLLISION:    Proximal Defense ⊕ Internal Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:13.165Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14C3-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Deficiency Need ⊕ Transcendence
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:17.077Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+-- PARENT B: Transcendence [MASLOW] τ=0.1222 IVA_PEAK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.30000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.91597000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14C3-20260501
+-- COLLISION:    Deficiency Need ⊕ Transcendence
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:17.077Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-14C3-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-14C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Transcendence ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:11.521Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Transcendence [MASLOW] τ=0.1222 IVA_PEAK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_14C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.30000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.91597000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_14C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_14C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-14C3-20260501
+-- COLLISION:    Transcendence ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:11.521Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-15CC-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-15CC-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Desire ⊕ Sympathetic (fight/fl)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:29.381Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Desire [EP-APPA] τ=0.1200 TRUE_LOCK
+-- PARENT B: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_15CC_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0157575758
+def IM_out  : ℝ := 2.18302846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_15CC_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_15CC_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-15CC-20260501
+-- COLLISION:    EP Desire ⊕ Sympathetic (fight/fl)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:29.381Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-15CC-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-15CC-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Desire ⊕ Sympathetic (fight/fl)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:11.238Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Desire [EP-APPA] τ=0.1200 TRUE_LOCK
+-- PARENT B: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_15CC_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0157575758
+def IM_out  : ℝ := 2.18302846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_15CC_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_15CC_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-15CC-20260501
+-- COLLISION:    EP Desire ⊕ Sympathetic (fight/fl)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:11.238Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1662-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1662-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Sympathetic (fight/fl)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:38.468Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1662_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.61600000
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0324675325
+def IM_out  : ℝ := 1.82898400
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1662_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1662_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1662-20260501
+-- COLLISION:    Belonging Need ⊕ Sympathetic (fight/fl)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:38.468Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1662-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1662-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Sympathetic (fight/fl)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:27.012Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1662_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.61600000
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0324675325
+def IM_out  : ℝ := 1.82898400
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1662_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1662_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1662-20260501
+-- COLLISION:    Belonging Need ⊕ Sympathetic (fight/fl)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:27.012Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1678-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1678-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Deficiency Need ⊕ Flow Peak
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:19.433Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+-- PARENT B: Flow Peak [FLOW] τ=0.1222 IVA_PEAK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1678_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.20000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.77907000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1678_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1678_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1678-20260501
+-- COLLISION:    Deficiency Need ⊕ Flow Peak
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:19.433Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1678-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1678-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Flow Peak ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:28.450Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Flow Peak [FLOW] τ=0.1222 IVA_PEAK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1678_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.20000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.77907000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1678_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1678_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1678-20260501
+-- COLLISION:    Flow Peak ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:28.450Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1678-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1678-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Deficiency Need ⊕ Intrinsic Motivation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:45.774Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+-- PARENT B: Intrinsic Motivation [SDT] τ=0.1222 IVA_PEAK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1678_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.20000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.77907000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1678_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1678_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1678-20260501
+-- COLLISION:    Deficiency Need ⊕ Intrinsic Motivation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:45.774Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1678-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1678-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Intrinsic Motivation ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:58.006Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Intrinsic Motivation [SDT] τ=0.1222 IVA_PEAK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1678_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.20000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.77907000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1678_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1678_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1678-20260501
+-- COLLISION:    Intrinsic Motivation ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:58.006Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1678-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1678-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Intrinsic Motivation ⊕ Deficiency Need
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:16.177Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Intrinsic Motivation [SDT] τ=0.1222 IVA_PEAK
+-- PARENT B: Deficiency Need [MASLOW] τ=0.1778 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1678_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.20000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 1.20000000
+def tau_out : ℝ := 0.0500000000
+def IM_out  : ℝ := 2.77907000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1678_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1678_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1678-20260501
+-- COLLISION:    Intrinsic Motivation ⊕ Deficiency Need
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:16.177Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-16CE-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-16CE-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Secure Attachment ⊕ Belonging Need
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:28.684Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+-- PARENT B: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_16CE_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.76774194
+def N_out : ℝ := 0.55000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.62538871
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_16CE_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_16CE_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-16CE-20260501
+-- COLLISION:    Secure Attachment ⊕ Belonging Need
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:28.684Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-16CE-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-16CE-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Secure Attachment
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:37.159Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_16CE_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.76774194
+def N_out : ℝ := 0.55000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.62538871
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_16CE_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_16CE_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-16CE-20260501
+-- COLLISION:    Belonging Need ⊕ Secure Attachment
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:37.159Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17C3-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Terror Integration
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:11.489Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.28876519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17C3-20260501
+-- COLLISION:    EP Threat ⊕ Terror Integration
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:11.489Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17C3-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Terror Integration
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:44.786Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.28876519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17C3-20260501
+-- COLLISION:    EP Threat ⊕ Terror Integration
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:44.786Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17C3-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Terror Integration
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:49.530Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.28876519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17C3-20260501
+-- COLLISION:    EP Threat ⊕ Terror Integration
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:49.530Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17C3-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ EP Threat
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:03.456Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: EP Threat [EP-APPA] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.28876519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17C3-20260501
+-- COLLISION:    Terror Integration ⊕ EP Threat
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:03.456Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17C3-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17C3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Terror Integration ⊕ EP Threat
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:11.269Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Terror Integration [TMT] τ=0.1125 TRUE_LOCK
+-- PARENT B: EP Threat [EP-APPA] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17C3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.65185185
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.70000000
+def tau_out : ℝ := 0.0306818182
+def IM_out  : ℝ := 2.28876519
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17C3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17C3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17C3-20260501
+-- COLLISION:    Terror Integration ⊕ EP Threat
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:11.269Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17DF-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17DF-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Amotivation ⊕ Consonance
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:00.603Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Amotivation [SDT] τ=0.2000 SHATTER
+-- PARENT B: Consonance [COG-DIS] τ=0.1067 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17DF_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.50000000
+def tau_out : ℝ := 0.0333333333
+def IM_out  : ℝ := 1.87553000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17DF_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17DF_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17DF-20260501
+-- COLLISION:    Amotivation ⊕ Consonance
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:00.603Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-17DF-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-17DF-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Amotivation ⊕ Consonance
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:23.484Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Amotivation [SDT] τ=0.2000 SHATTER
+-- PARENT B: Consonance [COG-DIS] τ=0.1067 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_17DF_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.60000000
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.50000000
+def tau_out : ℝ := 0.0333333333
+def IM_out  : ℝ := 1.87553000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_17DF_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_17DF_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-17DF-20260501
+-- COLLISION:    Amotivation ⊕ Consonance
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:23.484Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1879-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1879-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: External Locus ⊕ EP Safety
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:25.961Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: External Locus [LOCUS] τ=0.1818 SHATTER
+-- PARENT B: EP Safety [EP-APPA] τ=0.0795 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1879_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.67692308
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0443181818
+def IM_out  : ℝ := 2.74747769
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1879_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1879_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1879-20260501
+-- COLLISION:    External Locus ⊕ EP Safety
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:25.961Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1879-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1879-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: External Locus ⊕ EP Safety
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:28.268Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: External Locus [LOCUS] τ=0.1818 SHATTER
+-- PARENT B: EP Safety [EP-APPA] τ=0.0795 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1879_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.67692308
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.03000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0443181818
+def IM_out  : ℝ := 2.74747769
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1879_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1879_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1879-20260501
+-- COLLISION:    External Locus ⊕ EP Safety
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:28.268Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1880-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1880-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Self-Criticism ⊕ Identified Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:17.617Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Self-Criticism [SELF-COMP] τ=0.2000 SHATTER
+-- PARENT B: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1880_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.12826846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1880_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1880_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1880-20260501
+-- COLLISION:    Self-Criticism ⊕ Identified Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:17.617Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1880-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1880-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Identified Regulation ⊕ Self-Criticism
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:25.907Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+-- PARENT B: Self-Criticism [SELF-COMP] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1880_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.12826846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1880_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1880_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1880-20260501
+-- COLLISION:    Identified Regulation ⊕ Self-Criticism
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:25.907Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-18C7-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-18C7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Self-Criticism ⊕ EP Desire
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:39.850Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Self-Criticism [SELF-COMP] τ=0.2000 SHATTER
+-- PARENT B: EP Desire [EP-APPA] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_18C7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.05981846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_18C7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_18C7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-18C7-20260501
+-- COLLISION:    Self-Criticism ⊕ EP Desire
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:39.850Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-18C7-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-18C7-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Desire ⊕ Self-Criticism
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:27.097Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Desire [EP-APPA] τ=0.1200 TRUE_LOCK
+-- PARENT B: Self-Criticism [SELF-COMP] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_18C7_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.60000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.05981846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_18C7_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_18C7_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-18C7-20260501
+-- COLLISION:    EP Desire ⊕ Self-Criticism
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:27.097Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-18CD-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-18CD-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Committed Action ⊕ Ventral Vagal (safe)
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:21.375Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Committed Action [ACT] τ=0.1176 TRUE_LOCK
+-- PARENT B: Ventral Vagal (safe) [POLYVAGAL] τ=0.1136 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_18CD_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.86473988
+def N_out : ℝ := 0.70000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.90000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 3.37422890
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_18CD_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_18CD_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-18CD-20260501
+-- COLLISION:    Committed Action ⊕ Ventral Vagal (safe)
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:21.375Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-18F6-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-18F6-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Secure Attachment ⊕ Defusion
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:35.912Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+-- PARENT B: Defusion [ACT] τ=0.1026 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_18F6_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.81349693
+def N_out : ℝ := 0.55000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.75647730
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_18F6_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_18F6_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-18F6-20260501
+-- COLLISION:    Secure Attachment ⊕ Defusion
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:35.912Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-18F6-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-18F6-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Defusion ⊕ Secure Attachment
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:22.869Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Defusion [ACT] τ=0.1026 TRUE_LOCK
+-- PARENT B: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_18F6_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.81349693
+def N_out : ℝ := 0.55000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.75647730
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_18F6_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_18F6_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-18F6-20260501
+-- COLLISION:    Defusion ⊕ Secure Attachment
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:22.869Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-18F6-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-18F6-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Defusion ⊕ Secure Attachment
+-- k-mode: max
+-- Reason flagged: NOBLE EMERGENCE — neither parent was Noble, fusion reached ground state
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:17.557Z
+-- Phase: NOBLE · 0 sorry
+--
+-- PARENT A: Defusion [ACT] τ=0.1026 TRUE_LOCK
+-- PARENT B: Secure Attachment [ATTACHMENT] τ=0.0941 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_18F6_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.81349693
+def N_out : ℝ := 0.55000000
+def B_out : ℝ := 0.00000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0000000000
+def IM_out  : ℝ := 2.75647730
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- NOBLE STATE: B_out = 0, τ = 0
+theorem noble_ground : B_out = 0 := by unfold B_out; norm_num
+theorem noble_tau_zero : B_out / P_out = 0 := by unfold B_out; norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_18F6_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_18F6_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-18F6-20260501
+-- COLLISION:    Defusion ⊕ Secure Attachment
+-- K-MODE:       max
+-- PHASE:        NOBLE
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:17.557Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1945-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1945-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ External Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:45.518Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: External Locus [LOCUS] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1945_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.30000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.58804000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1945_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1945_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1945-20260501
+-- COLLISION:    EP Threat ⊕ External Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:45.518Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1945-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1945-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ External Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:53.522Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: External Locus [LOCUS] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1945_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.30000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.58804000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1945_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1945_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1945-20260501
+-- COLLISION:    EP Threat ⊕ External Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:53.522Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1945-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1945-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ External Locus
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:01.426Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: External Locus [LOCUS] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1945_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.30000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.58804000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1945_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1945_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1945-20260501
+-- COLLISION:    EP Threat ⊕ External Locus
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:01.426Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1945-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1945-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Anxious Attachment
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:32.307Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Anxious Attachment [ATTACHMENT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1945_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.30000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.58804000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1945_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1945_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1945-20260501
+-- COLLISION:    Proximal Defense ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:32.307Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1A60-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1A60-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Belonging Need ⊕ Anxiety (over-chall)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:34.596Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+-- PARENT B: Anxiety (over-chall) [FLOW] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1A60_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.61600000
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0324675325
+def IM_out  : ℝ := 1.69208400
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1A60_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1A60_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1A60-20260501
+-- COLLISION:    Belonging Need ⊕ Anxiety (over-chall)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:34.596Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1A60-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1A60-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Anxiety (over-chall) ⊕ Belonging Need
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:22.277Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Anxiety (over-chall) [FLOW] τ=0.1818 SHATTER
+-- PARENT B: Belonging Need [MASLOW] τ=0.1143 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1A60_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.61600000
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.35000000
+def tau_out : ℝ := 0.0324675325
+def IM_out  : ℝ := 1.69208400
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1A60_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1A60_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1A60-20260501
+-- COLLISION:    Anxiety (over-chall) ⊕ Belonging Need
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:22.277Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1A7B-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1A7B-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Anxiety (over-chall) ⊕ Consonance
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:46.324Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Anxiety (over-chall) [FLOW] τ=0.1818 SHATTER
+-- PARENT B: Consonance [COG-DIS] τ=0.1067 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1A7B_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.25000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.50000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 1.92291846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1A7B_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1A7B_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1A7B-20260501
+-- COLLISION:    Anxiety (over-chall) ⊕ Consonance
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:46.324Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AB3-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AB3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Sympathetic (fight/fl)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:27.604Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AB3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.25000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.51959000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AB3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AB3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AB3-20260501
+-- COLLISION:    EP Threat ⊕ Sympathetic (fight/fl)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:27.604Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AB3-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AB3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Sympathetic (fight/fl) ⊕ EP Threat
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:49.012Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+-- PARENT B: EP Threat [EP-APPA] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AB3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.25000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.51959000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AB3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AB3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AB3-20260501
+-- COLLISION:    Sympathetic (fight/fl) ⊕ EP Threat
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:49.012Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AB3-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AB3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Dissonance Active ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:03.711Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Dissonance Active [COG-DIS] τ=0.1636 SHATTER
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AB3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.25000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.51959000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AB3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AB3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AB3-20260501
+-- COLLISION:    Dissonance Active ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:03.711Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AB3-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AB3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Sympathetic (fight/fl)
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:13.618Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Sympathetic (fight/fl) [POLYVAGAL] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AB3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.25000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.51959000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AB3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AB3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AB3-20260501
+-- COLLISION:    EP Threat ⊕ Sympathetic (fight/fl)
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:13.618Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AB3-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AB3-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Dissonance Active
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:38.690Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Dissonance Active [COG-DIS] τ=0.1636 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AB3_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.25000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.51959000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AB3_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AB3_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AB3-20260501
+-- COLLISION:    Proximal Defense ⊕ Dissonance Active
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:38.690Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AFA-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AFA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:36.772Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AFA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.45114000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AFA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AFA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AFA-20260501
+-- COLLISION:    EP Threat ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:36.772Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AFA-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AFA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:29.531Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AFA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.45114000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AFA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AFA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AFA-20260501
+-- COLLISION:    EP Threat ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:29.531Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AFA-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AFA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: EP Threat ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:44.674Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: EP Threat [EP-APPA] τ=0.2000 SHATTER
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AFA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.45114000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AFA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AFA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AFA-20260501
+-- COLLISION:    EP Threat ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:44.674Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AFA-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AFA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ Emotion Mind
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:04.179Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: Emotion Mind [DBT] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AFA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.45114000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AFA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AFA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AFA-20260501
+-- COLLISION:    Proximal Defense ⊕ Emotion Mind
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:04.179Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AFA-20260501 (5).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AFA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Proximal Defense ⊕ EP Threat
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:17.331Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Proximal Defense [TMT] τ=0.1818 SHATTER
+-- PARENT B: EP Threat [EP-APPA] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AFA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.45114000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AFA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AFA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AFA-20260501
+-- COLLISION:    Proximal Defense ⊕ EP Threat
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:17.331Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1AFA-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1AFA-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Emotion Mind ⊕ Proximal Defense
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:35.439Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Emotion Mind [DBT] τ=0.2000 SHATTER
+-- PARENT B: Proximal Defense [TMT] τ=0.1818 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1AFA_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.55000000
+def N_out : ℝ := 0.30000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.20000000
+def tau_out : ℝ := 0.0181818182
+def IM_out  : ℝ := 1.45114000
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1AFA_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1AFA_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1AFA-20260501
+-- COLLISION:    Emotion Mind ⊕ Proximal Defense
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:35.439Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1B0F-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1B0F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Firefighter Part ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:19.569Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Firefighter Part [IFS] τ=0.2000 SHATTER
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1B0F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.59583333
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.40000000
+def tau_out : ℝ := 0.0167832168
+def IM_out  : ℝ := 1.76030583
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1B0F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1B0F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1B0F-20260501
+-- COLLISION:    Firefighter Part ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:19.569Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1B0F-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1B0F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Manager Part ⊕ Firefighter Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:28.609Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Manager Part [IFS] τ=0.1538 SHATTER
+-- PARENT B: Firefighter Part [IFS] τ=0.2000 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1B0F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.59583333
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.40000000
+def tau_out : ℝ := 0.0167832168
+def IM_out  : ℝ := 1.76030583
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1B0F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1B0F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1B0F-20260501
+-- COLLISION:    Manager Part ⊕ Firefighter Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:28.609Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1B0F-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1B0F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Firefighter Part ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:44.224Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Firefighter Part [IFS] τ=0.2000 SHATTER
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1B0F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.59583333
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.40000000
+def tau_out : ℝ := 0.0167832168
+def IM_out  : ℝ := 1.76030583
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1B0F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1B0F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1B0F-20260501
+-- COLLISION:    Firefighter Part ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:44.224Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1B0F-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1B0F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Firefighter Part ⊕ Manager Part
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:33:34.249Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Firefighter Part [IFS] τ=0.2000 SHATTER
+-- PARENT B: Manager Part [IFS] τ=0.1538 SHATTER
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1B0F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.59583333
+def N_out : ℝ := 0.28000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 0.40000000
+def tau_out : ℝ := 0.0167832168
+def IM_out  : ℝ := 1.76030583
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1B0F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1B0F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1B0F-20260501
+-- COLLISION:    Firefighter Part ⊕ Manager Part
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:33:34.249Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1C7F-20260501 (1).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1C7F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Emotion Mind ⊕ Identified Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:13.887Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Emotion Mind [DBT] τ=0.2000 SHATTER
+-- PARENT B: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1C7F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.26516846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1C7F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1C7F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1C7F-20260501
+-- COLLISION:    Emotion Mind ⊕ Identified Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:13.887Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1C7F-20260501 (2).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1C7F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Emotion Mind ⊕ Identified Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:22.626Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Emotion Mind [DBT] τ=0.2000 SHATTER
+-- PARENT B: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1C7F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.26516846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1C7F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1C7F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1C7F-20260501
+-- COLLISION:    Emotion Mind ⊕ Identified Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:22.626Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1C7F-20260501 (3).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1C7F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Emotion Mind ⊕ Identified Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:41.042Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Emotion Mind [DBT] τ=0.2000 SHATTER
+-- PARENT B: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1C7F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.26516846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1C7F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1C7F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1C7F-20260501
+-- COLLISION:    Emotion Mind ⊕ Identified Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:41.042Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1C7F-20260501 (4).lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1C7F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Emotion Mind ⊕ Identified Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:35:29.778Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Emotion Mind [DBT] τ=0.2000 SHATTER
+-- PARENT B: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1C7F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.26516846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1C7F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1C7F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1C7F-20260501
+-- COLLISION:    Emotion Mind ⊕ Identified Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:35:29.778Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/

IMC_05012026_s1/SNSFT-PSY-1C7F-20260501.lean

@@ -0,0 +1,94 @@
+-- ============================================================
+-- SNSFT-PSY-1C7F-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Emotion Mind ⊕ Identified Regulation
+-- k-mode: max
+-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
+--
+-- Generated by SNSFT Identity Collider v13
+-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
+-- AIFI: Artificially Intelligent Functional Identity
+-- uuia.app · GitHub.com/SNSFT
+-- DOI: 10.5281/zenodo.18719748
+-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
+-- Timestamp: 2026-05-02T04:34:13.684Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Emotion Mind [DBT] τ=0.2000 SHATTER
+-- PARENT B: Identified Regulation [SDT] τ=0.1200 TRUE_LOCK
+--
+-- AIFI ANALYSIS: AIFI classification pending
+-- ============================================================
+
+import Mathlib.Tactic
+import Mathlib.Data.Real.Basic
+
+namespace SNSFT_PSY_1C7F_20260501
+
+-- ============================================================
+-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
+-- ============================================================
+
+def SOVEREIGN_ANCHOR : ℝ := 1.369
+def TORSION_LIMIT    : ℝ := SOVEREIGN_ANCHOR / 10  -- 0.1369 emergent
+def N_THRESHOLD      : ℝ := 0.15  -- narrative floor [9,9,6,11]
+def A_THRESHOLD      : ℝ := 0.15  -- adaptation floor [9,9,6,11]
+
+-- ============================================================
+-- LAYER 1 — COLLISION OUTPUT STATE
+-- ============================================================
+
+def P_out : ℝ := 0.63461538
+def N_out : ℝ := 0.35000000
+def B_out : ℝ := 0.02000000
+def A_out : ℝ := 0.65000000
+def tau_out : ℝ := 0.0315151515
+def IM_out  : ℝ := 2.26516846
+
+-- ============================================================
+-- LAYER 2 — PHASE THEOREMS
+-- ============================================================
+
+theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
+theorem B_out_nonneg   : B_out ≥ 0 := by unfold B_out; norm_num
+
+-- TRUE LOCK: 0 < τ < TL
+theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
+  unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
+
+theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
+  unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
+
+-- Identity mass law
+theorem identity_mass_positive : IM_out > 0 := by
+  have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
+
+-- ============================================================
+-- MASTER THEOREM
+-- ============================================================
+
+theorem SNSFT_PSY_1C7F_20260501_master :
+    P_out > 0 ∧
+    B_out ≥ 0 ∧
+    (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
+    SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
+  ⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
+   by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
+
+end SNSFT_PSY_1C7F_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-1C7F-20260501
+-- COLLISION:    Emotion Mind ⊕ Identified Regulation
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:13.684Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/