Prove2Me

`BookProof.ChapterLorentzRealRepSum.finrank_sup_eq_add` : finrank ℝ ↥(WHalf ⊔ W10 ⊔ WPs) = finrank ℝ WHalf + finrank ℝ W10 + finrank ℝ WPs

Proved
BookProof.ChapterLorentzRealRepSum.finrank_sup_eq_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRepSum.

BookProof.ChapterLorentzRealRepSum.finrank_sup_eq_add : finrank ℝ ↥(WHalf ⊔ W10 ⊔ WPs) = finrank ℝ WHalf + finrank ℝ W10 + finrank ℝ WPs

Formalization note: Lean 4 identifier BookProof.ChapterLorentzRealRepSum.finrank_sup_eq_add.

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


open Matrix


open BookProof.ChapterA3 BookProof.ChapterPinOmega BookProof.ChapterLorentzRealRep
open Module
Formal statement
theorem BookProof.ChapterLorentzRealRepSum.finrank_sup_eq_add :
    finrank ℝ ↥(WHalf ⊔ W10 ⊔ WPs) = finrank ℝ WHalf + finrank ℝ W10 + finrank ℝ WPs := by sorry

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