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`BookProof.ChapterLorentzRealRep.conj_inv_ps` : ∀ S ∈ Omega, ∀ i, S * bPs i * cinv S ∈ SBPs

Proved
BookProof.ChapterLorentzRealRep.conj_inv_ps

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRep.

BookProof.ChapterLorentzRealRep.conj_inv_ps : ∀ S ∈ Omega, ∀ i, S * bPs i * cinv S ∈ SBPs

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

Preamble
-- Generated from ChapterLorentzRealRep.lean — theorem BookProof.ChapterLorentzRealRep.conj_inv_ps
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_ps : ∀ S ∈ Omega, ∀ i, S * bPs i * cinv S ∈ SBPs := by sorry

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