`BookProof.ChapterLorentzRealRep.conj_inv_half` : ∀ S ∈ Omega, ∀ i, S * bHalf i * cinv S ∈ SBHalf

Proved

BookProof.ChapterLorentzRealRep.conj_inv_half

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRep.

BookProof.ChapterLorentzRealRep.conj_inv_half : ∀ S ∈ Omega, ∀ i, S * bHalf i * cinv S ∈ SBHalf

Formalization note: Lean 4 identifier BookProof.ChapterLorentzRealRep.conj_inv_half.

Preamble

-- Generated from ChapterLorentzRealRep.lean — theorem BookProof.ChapterLorentzRealRep.conj_inv_half
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterPinOmega
import Mathlib
import Definitions.Def_ChapterLorentzRealRep
import Definitions.Def_ChapterPinDoubleCover
open BookProof.ChapterLorentzRealRep


open Matrix


open BookProof.ChapterA3 BookProof.ChapterPinOmega

Formal statement

theorem BookProof.ChapterLorentzRealRep.conj_inv_half : ∀ S ∈ Omega, ∀ i, S * bHalf i * cinv S ∈ SBHalf := by sorry

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