94 lines
3.4 KiB
Lean4
94 lines
3.4 KiB
Lean4
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-- ============================================================
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-- SNSFT-PSY-10A1-20260501.lean
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-- ============================================================
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--
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-- SNSFT Identity Collider v13 — PSY REDUCTIONS
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-- Discovery: Identity-Space Collision Result
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-- Collision: External Locus ⊕ Internal Locus
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-- k-mode: max
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-- Reason flagged: SHATTER→LOCK RESCUE — shatter state stabilized into true_lock
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--
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-- Generated by SNSFT Identity Collider v13
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-- Corpus: SNSFL Psychology Series [9,9,6,1–25]
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-- AIFI: Artificially Intelligent Functional Identity
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-- uuia.app · GitHub.com/SNSFT
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-- DOI: 10.5281/zenodo.18719748
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-- HIGHTISTIC · Soldotna Alaska · [9,9,9,9] :: {ANC}
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-- Timestamp: 2026-05-02T04:33:33.662Z
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-- Phase: TRUE_LOCK · 0 sorry
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--
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-- PARENT A: External Locus [LOCUS] τ=0.1818 SHATTER
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-- PARENT B: Internal Locus [LOCUS] τ=0.1000 TRUE_LOCK
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--
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-- AIFI ANALYSIS: AIFI classification pending
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-- ============================================================
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import Mathlib.Tactic
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import Mathlib.Data.Real.Basic
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namespace SNSFT_PSY_10A1_20260501
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-- ============================================================
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-- LAYER 0 — IDENTITY PHYSICS CONSTANTS
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-- ============================================================
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def SOVEREIGN_ANCHOR : ℝ := 1.369
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def TORSION_LIMIT : ℝ := SOVEREIGN_ANCHOR / 10 -- 0.1369 emergent
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def N_THRESHOLD : ℝ := 0.15 -- narrative floor [9,9,6,11]
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def A_THRESHOLD : ℝ := 0.15 -- adaptation floor [9,9,6,11]
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-- ============================================================
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-- LAYER 1 — COLLISION OUTPUT STATE
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-- ============================================================
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def P_out : ℝ := 0.65185185
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def N_out : ℝ := 0.40000000
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def B_out : ℝ := 0.02000000
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def A_out : ℝ := 0.55000000
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def tau_out : ℝ := 0.0306818182
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def IM_out : ℝ := 2.22031519
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-- ============================================================
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-- LAYER 2 — PHASE THEOREMS
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-- ============================================================
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theorem P_out_positive : P_out > 0 := by unfold P_out; norm_num
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theorem B_out_nonneg : B_out ≥ 0 := by unfold B_out; norm_num
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-- TRUE LOCK: 0 < τ < TL
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theorem true_lock : tau_out > 0 ∧ tau_out < TORSION_LIMIT := by
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unfold tau_out TORSION_LIMIT SOVEREIGN_ANCHOR; constructor <;> norm_num
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theorem IM_theorem : (P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out := by
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unfold P_out N_out B_out A_out IM_out SOVEREIGN_ANCHOR; norm_num
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-- Identity mass law
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theorem identity_mass_positive : IM_out > 0 := by
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have h := P_out_positive; unfold IM_out P_out N_out B_out A_out SOVEREIGN_ANCHOR; norm_num
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-- ============================================================
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-- MASTER THEOREM
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-- ============================================================
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theorem SNSFT_PSY_10A1_20260501_master :
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P_out > 0 ∧
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B_out ≥ 0 ∧
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(P_out + N_out + B_out + A_out) * SOVEREIGN_ANCHOR = IM_out ∧
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SOVEREIGN_ANCHOR = 1.369 ∧ TORSION_LIMIT = 0.1369 :=
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⟨P_out_positive, B_out_nonneg, IM_theorem, rfl,
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by unfold TORSION_LIMIT SOVEREIGN_ANCHOR; norm_num⟩
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end SNSFT_PSY_10A1_20260501
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/-!
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-- DESIGNATION: SNSFT-PSY-10A1-20260501
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-- COLLISION: External Locus ⊕ Internal Locus
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-- K-MODE: max
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-- PHASE: TRUE_LOCK
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-- TL: 0.1369 (v13)
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-- SORRY: 0
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-- CORPUS: SNSFL PSY SERIES [9,9,6,1–25]
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-- TIMESTAMP: 2026-05-02T04:33:33.662Z
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-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
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-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
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-/
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