SilverSight/formal
allaun 0125c9b487 Replace vacuous YangBaxter tautology with honest S_n braid relation; add SidonMirrorNotch
YangBaxter.lean: the prior `yang_baxter_holds` was `rfl` over two alpha-equivalent
sums (literally X = X); even the intended R = B(x)B claim satisfies YBE vacuously
(B^2(x)B^2(x)B^2 on both sides, for any B). An exact rational search (ybe_sidon.py,
ybe_verify.py) showed the Sidon block admits no invertible, non-triangular R-matrix.
Replaced with `braid_relation_S8` -- the honest symmetric-group (S_n image of B_n,
Artin 1947) braid relation as a concrete 8x8 permutation-matrix identity, by `decide`
-- plus `braid_relation_falsifiable`, a negative control proving the statement is not
vacuous (a non-permutation gate breaks it). Both axiom-clean: no sorryAx, no
ofReduceBool (genuine kernel `decide`, not native_decide).

SidonMirrorNotch.lean (new): the mirror-projection spine, written from scratch (no
such file existed despite being cited). Mirror involution tau(a) = S - a, the
observerless difference-invariant, and the notch congruence
  a == S - a  [ZMOD l]  <->  l | (2a - S).

Both files verified standalone via `lake env lean` (elan toolchain v4.30.0-rc2).
Known follow-up (next commit): UnifiedCovariant.lean re-exports the deleted
`yang_baxter_holds` and must be retired for a green full `lake build`.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-07-03 04:22:15 -05:00
..
BindingSite feat(phi): Hachimoji N=8 foundation, Phi pipeline, AVMIsa audit report 2026-06-28 00:11:39 -05:00
CoreFormalism fix(e8sidon): levelset axioms → proven theorems, N=32/64 are NOT Sidon 2026-06-30 21:16:29 -05:00
PVGS_DQ_Bridge fix: eliminate all 4 PVGS sorry proofs — sorry-free compilation 2026-07-01 22:47:19 +00:00
RRCLib feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
SilverSight Replace vacuous YangBaxter tautology with honest S_n braid relation; add SidonMirrorNotch 2026-07-03 04:22:15 -05:00
UniversalEncoding chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00