`BookProof.ChapterWignerOrbitClassification.hermOfMom_spaceRefMom` (m : ℝ) : hermOfMom (spaceRefMom m) = !![(m : ℂ), 0; 0, -(m : ℂ)]

Proved

BookProof.ChapterWignerOrbitClassification.hermOfMom_spaceRefMom

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerOrbitClassification.

BookProof.ChapterWignerOrbitClassification.hermOfMom_spaceRefMom (m : ℝ) : hermOfMom (spaceRefMom m) = !![(m : ℂ), 0; 0, -(m : ℂ)]

Formalization note: Lean 4 identifier BookProof.ChapterWignerOrbitClassification.hermOfMom_spaceRefMom.

Preamble

-- Generated from ChapterWignerOrbitClassification.lean — theorem BookProof.ChapterWignerOrbitClassification.hermOfMom_spaceRefMom
import Definitions.Def_ChapterWignerLittleGroupOrbits
import Mathlib
import Definitions.Def_ChapterWignerOrbitClassification
import Definitions.Def_ChapterWignerLittleGroup
open BookProof.ChapterWignerLittleGroup
open BookProof.ChapterWignerOrbitClassification


open Matrix Complex


open BookProof.ChapterWignerLittleGroup BookProof.ChapterWignerLittleGroupOrbits

Formal statement

theorem BookProof.ChapterWignerOrbitClassification.hermOfMom_spaceRefMom (m : ℝ) :
    hermOfMom (spaceRefMom m) = !![(m : ℂ), 0; 0, -(m : ℂ)] := by sorry

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