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

IMC_05012026_s1/SNSFT-PSY-2DF0-20260501.lean

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+-- ============================================================
+-- SNSFT-PSY-2DF0-20260501.lean
+-- ============================================================
+--
+-- SNSFT Identity Collider v13 — PSY REDUCTIONS
+-- Discovery: Identity-Space Collision Result
+-- Collision: Self (unburdened) ⊕ 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: 2026-05-02T04:34:46.910Z
+-- Phase: TRUE_LOCK · 0 sorry
+--
+-- PARENT A: Self (unburdened) [IFS] τ=0.1111 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_2DF0_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 := 0.68275862
+def N_out : ℝ := 0.40000000
+def B_out : ℝ := 0.01000000
+def A_out : ℝ := 1.10000000
+def tau_out : ℝ := 0.0146464646
+def IM_out  : ℝ := 3.00188655
+
+-- ============================================================
+-- 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_2DF0_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_2DF0_20260501
+
+/-!
+-- DESIGNATION:  SNSFT-PSY-2DF0-20260501
+-- COLLISION:    Self (unburdened) ⊕ Anxious Attachment
+-- K-MODE:       max
+-- PHASE:        TRUE_LOCK
+-- TL:           0.1369 (v13)
+-- SORRY:        0
+-- CORPUS:       SNSFL PSY SERIES [9,9,6,1–25]
+-- TIMESTAMP:    2026-05-02T04:34:46.910Z
+-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
+-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
+-/