`BookProof.ChapterA3n.permMat_uniform_comm` {N : ℕ} (σ : Equiv.Perm (Fin N)) (A : Matrix (Fin 4) (Fin 4) ℂ) : permMat σ * uniform A = uniform A * permMat σ

Proved

BookProof.ChapterA3n.permMat_uniform_comm

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3n.

BookProof.ChapterA3n.permMat_uniform_comm {N : ℕ} (σ : Equiv.Perm (Fin N)) (A : Matrix (Fin 4) (Fin 4) ℂ) : permMat σ * uniform A = uniform A * permMat σ

Formalization note: Lean 4 identifier BookProof.ChapterA3n.permMat_uniform_comm.

Preamble

-- Generated from ChapterA3n.lean — theorem BookProof.ChapterA3n.permMat_uniform_comm
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
import Mathlib
import Definitions.Def_ChapterA3n
open BookProof.ChapterA3n


open Matrix
open scoped BigOperators


open BookProof.ChapterA3 BookProof.ChapterA3j

Formal statement

theorem BookProof.ChapterA3n.permMat_uniform_comm {N : ℕ} (σ : Equiv.Perm (Fin N))
    (A : Matrix (Fin 4) (Fin 4) ℂ) :
    permMat σ * uniform A = uniform A * permMat σ := by sorry

View graph