`BookProof.ChapterWignerLittleGroup.littleGroup_conj` {A : Matrix (Fin 2) (Fin 2) ℂ} (hA : A.det = 1) {p q : Fin 4 → ℝ} (h : act A (hermOfMom p) = hermOfMom q) : littleGroup q = (f

Proved

BookProof.ChapterWignerLittleGroup.littleGroup_conj

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroup.

BookProof.ChapterWignerLittleGroup.littleGroup_conj {A : Matrix (Fin 2) (Fin 2) ℂ} (hA : A.det = 1) {p q : Fin 4 → ℝ} (h : act A (hermOfMom p) = hermOfMom q) : littleGroup q = (fun B => A * B * A⁻¹) '' littleGroup p

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

Preamble

-- Generated from ChapterWignerLittleGroup.lean — theorem BookProof.ChapterWignerLittleGroup.littleGroup_conj
import Mathlib
import Definitions.Def_ChapterWignerLittleGroup
import Definitions.Def_ChapterLittleGroup
open BookProof.ChapterLittleGroup
open BookProof.ChapterWignerLittleGroup


open Matrix Complex

Formal statement

theorem BookProof.ChapterWignerLittleGroup.littleGroup_conj {A : Matrix (Fin 2) (Fin 2) ℂ} (hA : A.det = 1) {p q : Fin 4 → ℝ}
    (h : act A (hermOfMom p) = hermOfMom q) :
    littleGroup q = (fun B => A * B * A⁻¹) '' littleGroup p := by sorry

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