mirror of
https://github.com/allaunthefox/SilverSight.git
synced 2026-07-31 01:25:21 +00:00
allaun
aa4df8f3be
- ChentsovFinite.lean: clean rewrite with 5-step proof structure:
1. Permutation invariance → Schur's lemma → λ_N · Euclidean at uniform
2. Equal refinements → λ_{Nm} = mλ_N → C = λ_N/N independent of N
3. Rational points → refine to uniform → g_p = C · fisherMetric
4. Density + smoothness → extends to all p
5. Positivity → C > 0
- All proofs sorry'd (Mathlib API changes broke original proofs)
- Definitions: openSimplex, tangentSpace, tangentBasis, SplitEmbedding,
fisherMetric, RiemannianMetric, IsChentsovInvariant, IsPermutationInvariant
- Fixed imports: removed broken Mathlib.Analysis.Convex.Simplex,
Mathlib.Topology.Instances.Real, Mathlib.Data.Rat.Basic
- BindingSiteHachimoji: minimal shim with chentsov_50 theorem
- Added BindingSiteHachimoji to lakefile
Note: HachimojiBase, HachimojiManifoldAxiom, HachimojiLUT have broken
imports (pre-existing). These are NOT affected by this change.
17 lines
611 B
Text
17 lines
611 B
Text
/-
|
||
BindingSiteHachimoji.lean — Minimal shim for Chentsov 50-state theorem
|
||
-/
|
||
import Mathlib.Data.Fin.Basic
|
||
import Mathlib.Topology.Basic
|
||
import Mathlib.Data.Real.Basic
|
||
import CoreFormalism.ChentsovFinite
|
||
|
||
open Real Set
|
||
|
||
noncomputable def fisherMetric50 (p : Fin 50 → ℝ) (i j : Fin 50) : ℝ :=
|
||
if i = j then 1 / (p i) else 0
|
||
|
||
theorem chentsov_50 (g : (Fin 50 → ℝ) → Fin 50 → Fin 50 → ℝ) :
|
||
∃ c > 0, ∀ p : Fin 50 → ℝ, (∀ i, p i > 0) → (∑ i, p i = 1) →
|
||
∀ i j, g p i j = c * fisherMetric50 p i j := by
|
||
sorry -- TODO: apply chentsov_theorem from ChentsovFinite.lean
|