`BookProof.LorentzGroup.isLorentz_mul` {a b : Matrix (Fin 4) (Fin 4) ℝ} (ha : IsLorentz a) (hb : IsLorentz b) : IsLorentz (a * b)

Proved

BookProof.LorentzGroup.isLorentz_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzGroup.

BookProof.LorentzGroup.isLorentz_mul {a b : Matrix (Fin 4) (Fin 4) ℝ} (ha : IsLorentz a) (hb : IsLorentz b) : IsLorentz (a * b)

Formalization note: Lean 4 identifier BookProof.LorentzGroup.isLorentz_mul.

Preamble

-- Generated from ChapterLorentzGroup.lean — theorem BookProof.LorentzGroup.isLorentz_mul
import Mathlib
import Definitions.Def_ChapterLorentzGroup
open BookProof.LorentzGroup



open Matrix

Formal statement

theorem BookProof.LorentzGroup.isLorentz_mul {a b : Matrix (Fin 4) (Fin 4) ℝ}
    (ha : IsLorentz a) (hb : IsLorentz b) : IsLorentz (a * b) := by sorry

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