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Model: SNSFL/SNSFL-Public-Release
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-- ============================================================
-- 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 [9,9,6,125]
-- 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 : := 1.369
def TORSION_LIMIT : := SOVEREIGN_ANCHOR / 10 -- 0.1369 emergent
def N_THRESHOLD : := 0.15 -- narrative floor [9,9,6,11]
def A_THRESHOLD : := 0.15 -- adaptation floor [9,9,6,11]
-- ============================================================
-- LAYER 1 — COLLISION OUTPUT STATE
-- ============================================================
def P_out : := 0.66785714
def N_out : := 0.30000000
def B_out : := 0.00000000
def A_out : := 0.90000000
def tau_out : := 0.0000000000
def IM_out : := 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 [9,9,6,125]
-- TIMESTAMP: 2026-05-02T04:33:36.144Z
-- Generated by SNSFT Identity Collider v13 · AIFI · HIGHTISTIC
-- Soldotna, Alaska · [9,9,9,9] :: {ANC}
-/