`BookProof.ChapterA3n.tensorPow_mul` {N : ℕ} (M M' : Fin N → Matrix (Fin 4) (Fin 4) ℂ) : tensorPow M * tensorPow M' = tensorPow (fun i => M i * M' i)

Proved

BookProof.ChapterA3n.tensorPow_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3n.

BookProof.ChapterA3n.tensorPow_mul {N : ℕ} (M M' : Fin N → Matrix (Fin 4) (Fin 4) ℂ) : tensorPow M * tensorPow M' = tensorPow (fun i => M i * M' i)

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

Preamble

-- Generated from ChapterA3n.lean — theorem BookProof.ChapterA3n.tensorPow_mul
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.tensorPow_mul {N : ℕ} (M M' : Fin N → Matrix (Fin 4) (Fin 4) ℂ) :
    tensorPow M * tensorPow M' = tensorPow (fun i => M i * M' i) := by sorry

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