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Courtade–Kumar proof module `CKLaneC.RSC2.S03_Top (subtrees t_067)` (transplant)

Definition
CK_CKLaneC_RSC2_S03_Top_t067

by tianyipeng · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

general-courtade-kumartransplant

Verbatim transplant of the Lean module CKLaneC.RSC2.S03_Top (subtrees t_067) 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.S03_Top (subtrees t_067) from release v1.0 (sources_v3.tar.zst).

Definition code
import Definitions.Def_CK_CKLaneC_RSCell_RegionI
import Definitions.Def_CK_CKLaneC_RSC2_S03_Top_t043
import Definitions.Def_CK_CKLaneC_RSC2_S03_Top_t066

/-! RA-stat cover: subtree of the root assembly of CKLaneC.RSC2.S03_Top (split by rsc2tree.py; term verbatim). -/

namespace CKLaneC.RSC2.S03_Top
open CKLaneC.RSCell

theorem t_067 : RegionPosI 4503599627370496 9007199254740992 0 18446744073709551616 6917529027641081856 18446744073709551616 :=
  (RegionPosI.split_s 9223372036854775808 CKLaneC.RSC2.S03_Top.t_043 CKLaneC.RSC2.S03_Top.t_066)

end CKLaneC.RSC2.S03_Top
Source
arXiv:2609.24931; https://github.com/dpwoodru/general-courtade-kumar-lean release v1.0, module CKLaneC.RSC2.S03_Top (subtrees t_067) (browse copy where available: https://github.com/dpwoodru/general-courtade-kumar-lean/blob/04b6fc3f75b10c3c43702a883ddf888b0608a9a0/browse/CKLaneC/RSC2/S03_Top (subtrees t_067).lean)

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