`BookProof.ChapterWignerLittleGroup.act_mul` (A B X : Matrix (Fin 2) (Fin 2) ℂ) : act (A * B) X = act A (act B X)

Proved

BookProof.ChapterWignerLittleGroup.act_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroup.

BookProof.ChapterWignerLittleGroup.act_mul (A B X : Matrix (Fin 2) (Fin 2) ℂ) : act (A * B) X = act A (act B X)

Formalization note: Lean 4 identifier BookProof.ChapterWignerLittleGroup.act_mul.

Preamble

-- Generated from ChapterWignerLittleGroup.lean — theorem BookProof.ChapterWignerLittleGroup.act_mul
import Mathlib
import Definitions.Def_ChapterWignerLittleGroup
open BookProof.ChapterWignerLittleGroup


open Matrix Complex

Formal statement

theorem BookProof.ChapterWignerLittleGroup.act_mul (A B X : Matrix (Fin 2) (Fin 2) ℂ) :
    act (A * B) X = act A (act B X) := by sorry

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