Prove2Me

`BookProof.ChapterLorentzRealRep.castR_mem_WHalf` : ∀ M ∈ SBHalf, castR M ∈ WHalf

Proved
BookProof.ChapterLorentzRealRep.castR_mem_WHalf

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRep.

BookProof.ChapterLorentzRealRep.castR_mem_WHalf : ∀ M ∈ SBHalf, castR M ∈ WHalf

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

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


open Matrix


open BookProof.ChapterA3 BookProof.ChapterPinOmega
Formal statement
theorem BookProof.ChapterLorentzRealRep.castR_mem_WHalf : ∀ M ∈ SBHalf, castR M ∈ WHalf := by sorry

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