Research-Stack/0-Core-Formalism/lean
Brandon Schneider 88b944aace docs: AdjugateMatrix det_self_inverse — Q16_16 obstruction documented
The exact det_self_inverse theorem is NOT provable over saturating Q16_16
due to integer truncation in div/mul. Documented with concrete counterexample
(diag(3,1,...,1) gives 1 LSB error).

Proven base case: det_self_inverse_identity (identity matrix, native_decide).
The exact version requires either:
(a) Bounded-error variant (each entry within 1 LSB of I)
(b) Precondition: det divides all cofactor products exactly
(c) Proof over ℚ via Mathlib matrix library
2026-05-28 17:21:28 -05:00
..
conversions/hardware WIP: accumulated changes 2026-05-25 16:24:21 -05:00
external/OTOM WIP: accumulated changes 2026-05-25 16:24:21 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics docs: AdjugateMatrix det_self_inverse — Q16_16 obstruction documented 2026-05-28 17:21:28 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00