`BookProof.SmDiracYukawa.isMixing_mul` {A B : Matrix (Fin 3) (Fin 3) ℂ} (hA : IsMixing A) (hB : IsMixing B) : IsMixing (A * B.conjTranspose)

Proved

BookProof.SmDiracYukawa.isMixing_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracYukawa.

BookProof.SmDiracYukawa.isMixing_mul {A B : Matrix (Fin 3) (Fin 3) ℂ} (hA : IsMixing A) (hB : IsMixing B) : IsMixing (A * B.conjTranspose)

Formalization note: Lean 4 identifier BookProof.SmDiracYukawa.isMixing_mul.

Preamble

-- Generated from ChapterSmDiracYukawa.lean — theorem BookProof.SmDiracYukawa.isMixing_mul
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracYukawa
import Definitions.Def_ChapterSmOneParticle
open BookProof.SmOneParticle
open BookProof.SmDiracYukawa



open Finset Matrix
open BookProof.SmCar BookProof.FarisLavine

variable {n : ℕ}

noncomputable section

open BookProof.SmOneParticle

Formal statement

theorem BookProof.SmDiracYukawa.isMixing_mul {A B : Matrix (Fin 3) (Fin 3) ℂ} (hA : IsMixing A) (hB : IsMixing B) :
    IsMixing (A * B.conjTranspose) := by sorry

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