`BookProof.ChapterA3l.swap_kronecker` (A B : Matrix (Fin 4) (Fin 4) ℂ) : swap * (A ⊗ₖ B) = (B ⊗ₖ A) * swap

Proved

BookProof.ChapterA3l.swap_kronecker

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3l.

BookProof.ChapterA3l.swap_kronecker (A B : Matrix (Fin 4) (Fin 4) ℂ) : swap * (A ⊗ₖ B) = (B ⊗ₖ A) * swap

Formalization note: Lean 4 identifier BookProof.ChapterA3l.swap_kronecker.

Preamble

-- Generated from ChapterA3l.lean — theorem BookProof.ChapterA3l.swap_kronecker
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
import Mathlib
import Definitions.Def_ChapterA3l
import Definitions.Def_ChapterA3k
open BookProof.ChapterA3k
open BookProof.ChapterA3l


open Matrix
open scoped Kronecker


open BookProof.ChapterA3 BookProof.ChapterA3j BookProof.ChapterA3k

Formal statement

theorem BookProof.ChapterA3l.swap_kronecker (A B : Matrix (Fin 4) (Fin 4) ℂ) :
    swap * (A ⊗ₖ B) = (B ⊗ₖ A) * swap := by sorry

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