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Courtade–Kumar proof module `CKLaneC.RSC2.BB_Top (piece 1 of 3)` (transplant)

Definition
CK_CKLaneC_RSC2_BB_Top_q00

by tianyipeng · Oct 13, 2026 · Mathlib 0df444a (Lean v4.33.1)

general-courtade-kumartransplant

Verbatim transplant of the Lean module CKLaneC.RSC2.BB_Top (piece 1 of 3) 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.BB_Top (piece 1 of 3) from release v1.0 (sources_v3.tar.zst).

Definition code
import Definitions.Def_CK_CKLaneC_RSCell_RegionI
import Definitions.Def_CK_CKLaneC_RSC2_BB_Top_t048
import Definitions.Def_CK_CKLaneC_RSC2_BB_Top_t099



/-! RA-stat cover: root assembly (generated by tools/emit_cover2.py). -/

namespace CKLaneC.RSC2.BB_Top
open CKLaneC.RSCell

theorem root0 : RegionPosI 4611686018427387904 6917529027641081856 0 18446744073709551616 2305843009213693952 18446744073709551616 :=
  (RegionPosI.split_t 9223372036854775808 CKLaneC.RSC2.BB_Top.t_048 CKLaneC.RSC2.BB_Top.t_099)

end CKLaneC.RSC2.BB_Top

Source
arXiv:2609.24931; https://github.com/dpwoodru/general-courtade-kumar-lean release v1.0, module CKLaneC.RSC2.BB_Top (piece 1 of 3) (browse copy where available: https://github.com/dpwoodru/general-courtade-kumar-lean/blob/04b6fc3f75b10c3c43702a883ddf888b0608a9a0/browse/CKLaneC/RSC2/BB_Top (piece 1 of 3).lean)

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