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Jun 26, 2026

Paper 170 v0.1 — Lean 4 Axiom-Free Unification of FIDT Structure + ZCSG MDNST Mapping (Path B + Path C Combined, Rei-AIOS)

Documentation work of genuine mathematical character (NOT a research breakthrough). Seven Lean 4 axiom-verified theorems unifying three Rei-AIOS frameworks: FIDT (STEP 845), MDNST (Paper 62), ZCSG (Paper 61). Path B contributes 3 FIDT structural theorems (additive cancellation, 3-way associativity, right zero identity) using only Step845 framework axioms. Path C contributes 4 ZCSG ⇔ MDNST mapping theorems, 2 of which are ★★ completely zero-axiom (`zcsg_dim_eq_mdnst_additive` and `paper170_threeway_consistency`), and 2 of which depend only on `propext`. Lake build 626/626 jobs success 7.2s. Continuation of Paper 65 (Lean 4) + STEP 1217 (ZCSG SmallCategory) + STEP 1228c (MDNST) + STEP 845 (FIDT). ★ Honest scope: cumulative formal verification, not a research breakthrough; world-first not claimed; categorical equivalence (full functor + natural iso) deferred to future STEP. Three-party co-authorship per OUKC charter v1.0.

Jun 26, 20267 min read0 reactions0 comments