`BookProof.SmBrstGhost.embedMatter_mul` (m : ℕ) (M P : Matrix (Fin m) (Fin m) ℂ) : embedMatter m M * embedMatter m P = embedMatter m (M * P)

Proved

BookProof.SmBrstGhost.embedMatter_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmBrstGhost.

BookProof.SmBrstGhost.embedMatter_mul (m : ℕ) (M P : Matrix (Fin m) (Fin m) ℂ) : embedMatter m M * embedMatter m P = embedMatter m (M * P)

Formalization note: Lean 4 identifier BookProof.SmBrstGhost.embedMatter_mul.

Preamble

-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.embedMatter_mul
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsSU3
import Mathlib
import Definitions.Def_ChapterSmBrstGhost
open BookProof.SmBrstGhost



open BookProof.SmCar BookProof.BRSTNilpotent BookProof.YangMillsSU3

noncomputable section

variable {m : ℕ}
variable {R : Type*} [Ring R] [Algebra ℝ R] {n : ℕ}
variable {N : ℕ}

Formal statement

theorem BookProof.SmBrstGhost.embedMatter_mul (m : ℕ) (M P : Matrix (Fin m) (Fin m) ℂ) :
    embedMatter m M * embedMatter m P = embedMatter m (M * P) := by sorry

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