`BookProof.ChapterWignerLittleGroupOrbits.det_inv_eq_one` {A : Matrix (Fin 2) (Fin 2) ℂ} (hA : A.det = 1) : (A⁻¹).det = 1

Proved

BookProof.ChapterWignerLittleGroupOrbits.det_inv_eq_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroupOrbits.

BookProof.ChapterWignerLittleGroupOrbits.det_inv_eq_one {A : Matrix (Fin 2) (Fin 2) ℂ} (hA : A.det = 1) : (A⁻¹).det = 1

Formalization note: Lean 4 identifier BookProof.ChapterWignerLittleGroupOrbits.det_inv_eq_one.

Preamble

-- Generated from ChapterWignerLittleGroupOrbits.lean — theorem BookProof.ChapterWignerLittleGroupOrbits.det_inv_eq_one
import Definitions.Def_ChapterWignerLittleGroup
import Mathlib
import Definitions.Def_ChapterWignerLittleGroupOrbits
open BookProof.ChapterWignerLittleGroupOrbits


open Matrix Complex
open scoped ComplexOrder


open BookProof.ChapterWignerLittleGroup

Formal statement

theorem BookProof.ChapterWignerLittleGroupOrbits.det_inv_eq_one {A : Matrix (Fin 2) (Fin 2) ℂ} (hA : A.det = 1) : (A⁻¹).det = 1 := by sorry

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