Prove2Me

`BookProof.ChapterLorentzRealRepFull.castR_mem_WTwo` : ∀ M ∈ SW2, castR M ∈ WTwo

Proved
BookProof.ChapterLorentzRealRepFull.castR_mem_WTwo

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRepFull.

BookProof.ChapterLorentzRealRepFull.castR_mem_WTwo : ∀ M ∈ SW2, castR M ∈ WTwo

Formalization note: Lean 4 identifier BookProof.ChapterLorentzRealRepFull.castR_mem_WTwo.

Preamble
-- Generated from ChapterLorentzRealRepFull.lean — theorem BookProof.ChapterLorentzRealRepFull.castR_mem_WTwo
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterPinOmega
import Definitions.Def_ChapterLorentzRealRepSum
import Mathlib
import Definitions.Def_ChapterLorentzRealRepFull
import Definitions.Def_ChapterLorentzRealRep
open BookProof.ChapterLorentzRealRep
open BookProof.ChapterLorentzRealRepFull


open Matrix


open BookProof.ChapterA3 BookProof.ChapterPinOmega BookProof.ChapterLorentzRealRep
open BookProof.ChapterLorentzRealRepSum
open Module
Formal statement
theorem BookProof.ChapterLorentzRealRepFull.castR_mem_WTwo : ∀ M ∈ SW2, castR M ∈ WTwo := by sorry

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