`BookProof.ChapterWignerLittleGroup.act_det_of_sl` (A X : Matrix (Fin 2) (Fin 2) ℂ) (hA : A.det = 1) : (act A X).det = X.det

Proved

BookProof.ChapterWignerLittleGroup.act_det_of_sl

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroup.

BookProof.ChapterWignerLittleGroup.act_det_of_sl (A X : Matrix (Fin 2) (Fin 2) ℂ) (hA : A.det = 1) : (act A X).det = X.det

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

Preamble

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


open Matrix Complex

Formal statement

theorem BookProof.ChapterWignerLittleGroup.act_det_of_sl (A X : Matrix (Fin 2) (Fin 2) ℂ) (hA : A.det = 1) :
    (act A X).det = X.det := by sorry

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