`BookProof.ChapterFreeFieldBornSignMatrix.flipMatrix_transpose_mul` (b : Fin n → Bool) : Matrix.transpose (flipMatrix b) * flipMatrix b = 1

Proved

BookProof.ChapterFreeFieldBornSignMatrix.flipMatrix_transpose_mul

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldBornSignMatrix.

BookProof.ChapterFreeFieldBornSignMatrix.flipMatrix_transpose_mul (b : Fin n → Bool) : Matrix.transpose (flipMatrix b) * flipMatrix b = 1

Formalization note: Lean 4 identifier BookProof.ChapterFreeFieldBornSignMatrix.flipMatrix_transpose_mul.

Preamble

-- Generated from ChapterFreeFieldBornSignMatrix.lean — theorem BookProof.ChapterFreeFieldBornSignMatrix.flipMatrix_transpose_mul
import Definitions.Def_ChapterFreeFieldBornSignAction
import Definitions.Def_ChapterFreeFieldBornSignHom
import Mathlib
import Definitions.Def_ChapterFreeFieldBornSignMatrix
open BookProof.ChapterFreeFieldBornSignMatrix

variable {n : ℕ}


open BookProof.ChapterFreeFieldBornSignAction
open BookProof.ChapterFreeFieldBornSignHom

Formal statement

theorem BookProof.ChapterFreeFieldBornSignMatrix.flipMatrix_transpose_mul (b : Fin n → Bool) :
    Matrix.transpose (flipMatrix b) * flipMatrix b = 1 := by sorry

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