`BookProof.ChapterA3.toEuclideanLin_mul4` (A B : Matrix (Fin 4) (Fin 4) ℂ) : Matrix.toEuclideanLin (A * B) = (Matrix.toEuclideanLin A) ∘ₗ (Matrix.toEuclideanLin B)

Proved

BookProof.ChapterA3.toEuclideanLin_mul4

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliCommutant.

BookProof.ChapterA3.toEuclideanLin_mul4 (A B : Matrix (Fin 4) (Fin 4) ℂ) : Matrix.toEuclideanLin (A * B) = (Matrix.toEuclideanLin A) ∘ₗ (Matrix.toEuclideanLin B)

Formalization note: Lean 4 identifier BookProof.ChapterA3.toEuclideanLin_mul4.

Preamble

-- Generated from ChapterPauliCommutant.lean — theorem BookProof.ChapterA3.toEuclideanLin_mul4
import Mathlib
import Definitions.Def_ChapterPauliCommutant
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix

Formal statement

theorem BookProof.ChapterA3.toEuclideanLin_mul4 (A B : Matrix (Fin 4) (Fin 4) ℂ) :
    Matrix.toEuclideanLin (A * B)
      = (Matrix.toEuclideanLin A) ∘ₗ (Matrix.toEuclideanLin B) := by sorry

View graph