`BookProof.ChapterWignerLittleGroup.nullElt_mul` (a b a' b' : ℂ) : nullElt a b * nullElt a' b' = nullElt (a * a') (a * b' + b * (starRingEnd ℂ) a')

Proved

BookProof.ChapterWignerLittleGroup.nullElt_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerLittleGroup.

BookProof.ChapterWignerLittleGroup.nullElt_mul (a b a' b' : ℂ) : nullElt a b * nullElt a' b' = nullElt (a * a') (a * b' + b * (starRingEnd ℂ) a')

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

Preamble

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


open Matrix Complex

Formal statement

theorem BookProof.ChapterWignerLittleGroup.nullElt_mul (a b a' b' : ℂ) :
    nullElt a b * nullElt a' b' = nullElt (a * a') (a * b' + b * (starRingEnd ℂ) a') := by sorry

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