Courtade–Kumar proof module `CKLaneN23.CornerClosure` (transplant)
DefinitionCK_CKLaneN23_CornerClosureVerbatim transplant of the Lean module CKLaneN23.CornerClosure of the machine-checked proof of the general Courtade–Kumar theorem (the most informative Boolean function conjecture), so that the complete proof can be verified on this platform.
It is the original source with only two mechanical changes. Imports of project modules are redirected to their transplanted bundles Definitions.Def_CK_*. Declarations that already exist in earlier platform definition bundles of this mission are removed, and those bundles are imported instead, so every constant keeps a single platform identity.
The module contains both definitions and the lemmas proved alongside them in the source. They are kept together so the transplant stays faithful and every proof is re-checked by the server.
Source: Z. Chen, A. Gohari, A. Javanmard, H. Lin, V. Mirrokni, C. Nair, D. P. Woodruff, A Proof of the Most Informative Boolean Function Conjecture, arXiv:2609.24931 (2026). Lean development: https://github.com/dpwoodru/general-courtade-kumar-lean (Apache-2.0), module CKLaneN23.CornerClosure from release v1.0 (sources_v3.tar.zst).
import Definitions.Def_CK_CKLaneN23_CornerClosure_q00 namespace CKLaneN23.RS /-- **RA-stat corner certificate** (Lane N23b): `rayGamma ≥ 0` on the corner `(1/2-b)+d ≤ 1/20`. -/ theorem gammaCorner_one_twentieth : GammaCorner (1 / 20) := CKLaneN23.CT.cornerCheck_sound CKLaneN23.CT.cornerCheck_ok end CKLaneN23.RS