`BookProof.ChapterLorentzRealRepFull.range_bFullR` : Set.range bFullR = ((Set.range bHalfR ∪ Set.range b10R) ∪ Set.range bPsR) ∪ Set.range w2R

Proved

BookProof.ChapterLorentzRealRepFull.range_bFullR

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRepFull.

BookProof.ChapterLorentzRealRepFull.range_bFullR : Set.range bFullR = ((Set.range bHalfR ∪ Set.range b10R) ∪ Set.range bPsR) ∪ Set.range w2R

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

Preamble

-- Generated from ChapterLorentzRealRepFull.lean — theorem BookProof.ChapterLorentzRealRepFull.range_bFullR
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.range_bFullR :
    Set.range bFullR
      = ((Set.range bHalfR ∪ Set.range b10R) ∪ Set.range bPsR) ∪ Set.range w2R := by sorry

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