Courtade–Kumar proof module `CKLaneC.RSC2.S09_Top` (transplant)
DefinitionCK_CKLaneC_RSC2_S09_TopVerbatim transplant of the Lean module CKLaneC.RSC2.S09_Top 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 CKLaneC.RSC2.S09_Top from release v1.0 (sources_v3.tar.zst).
import Definitions.Def_CK_CKLaneC_RSC2_S09_Top_q01 namespace CKLaneC.RSC2.S09_Top open CKLaneC.RSCell theorem root_region : RegionPos (1 / 64 : ℝ) (1 / 32 : ℝ) (0 : ℝ) (1 : ℝ) (1 / 8 : ℝ) (1 : ℝ) := RegionPosI.toReal rootI (by norm_num [one]) (by norm_num [one]) (by norm_num [one]) (by norm_num [one]) (by norm_num [one]) (by norm_num [one]) end CKLaneC.RSC2.S09_Top