`BookProof.ChapterA3n.tensorPow_one` {N : ℕ} : tensorPow (N := N) (fun _ => (1 : Matrix (Fin 4) (Fin 4) ℂ)) = 1

Proved

BookProof.ChapterA3n.tensorPow_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3n.

BookProof.ChapterA3n.tensorPow_one {N : ℕ} : tensorPow (N := N) (fun _ => (1 : Matrix (Fin 4) (Fin 4) ℂ)) = 1

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

Preamble

-- Generated from ChapterA3n.lean — theorem BookProof.ChapterA3n.tensorPow_one
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_one {N : ℕ} :
    tensorPow (N := N) (fun _ => (1 : Matrix (Fin 4) (Fin 4) ℂ)) = 1 := by sorry

View graph