`BookProof.ChapterWignerLittleGroup.nullElt_conj_translation` (a b : ℂ) (ha : a * (starRingEnd ℂ) a = 1) : nullElt a 0 * nullElt 1 b * nullElt ((starRingEnd ℂ) a) 0 = nullElt 1 (a

Proved

BookProof.ChapterWignerLittleGroup.nullElt_conj_translation

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroup.

BookProof.ChapterWignerLittleGroup.nullElt_conj_translation (a b : ℂ) (ha : a * (starRingEnd ℂ) a = 1) : nullElt a 0 * nullElt 1 b * nullElt ((starRingEnd ℂ) a) 0 = nullElt 1 (a * a * b)

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

Preamble

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


open Matrix Complex

Formal statement

theorem BookProof.ChapterWignerLittleGroup.nullElt_conj_translation (a b : ℂ) (ha : a * (starRingEnd ℂ) a = 1) :
    nullElt a 0 * nullElt 1 b * nullElt ((starRingEnd ℂ) a) 0 = nullElt 1 (a * a * b) := by sorry

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