Prove2Me

`BookProof.ChapterLorentzRealRepFull.decomposition_top` : WHalf ⊔ W10 ⊔ WPs ⊔ WTwo = ⊤

Proved
BookProof.ChapterLorentzRealRepFull.decomposition_top

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRepFull.

BookProof.ChapterLorentzRealRepFull.decomposition_top : WHalf ⊔ W10 ⊔ WPs ⊔ WTwo = ⊤

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

Preamble
-- Generated from ChapterLorentzRealRepFull.lean — theorem BookProof.ChapterLorentzRealRepFull.decomposition_top
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.decomposition_top : WHalf ⊔ W10 ⊔ WPs ⊔ WTwo = ⊤ := by sorry

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