`BookProof.ChapterLorentzRealRep.castR_mul` (A B : Matrix (Fin 4) (Fin 4) ℤ) : castR (A * B) = castR A * castR B

Proved

BookProof.ChapterLorentzRealRep.castR_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzRealRep.

BookProof.ChapterLorentzRealRep.castR_mul (A B : Matrix (Fin 4) (Fin 4) ℤ) : castR (A * B) = castR A * castR B

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

Preamble

-- Generated from ChapterLorentzRealRep.lean — theorem BookProof.ChapterLorentzRealRep.castR_mul
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_mul (A B : Matrix (Fin 4) (Fin 4) ℤ) : castR (A * B) = castR A * castR B := by sorry

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