Prove2Me

`BookProof.ChapterA3.lorentzLie_smul` {A : Matrix (Fin 4) (Fin 4) ℝ} (c : ℝ) (h : A ∈ LorentzLie) : c • A ∈ LorentzLie

Proved
BookProof.ChapterA3.lorentzLie_smul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3e.

BookProof.ChapterA3.lorentzLie_smul {A : Matrix (Fin 4) (Fin 4) ℝ} (c : ℝ) (h : A ∈ LorentzLie) : c • A ∈ LorentzLie

Formalization note: Lean 4 identifier BookProof.ChapterA3.lorentzLie_smul.

Preamble
-- Generated from ChapterA3e.lean — theorem BookProof.ChapterA3.lorentzLie_smul
import Mathlib
import Definitions.Def_ChapterA3e
import Definitions.Def_ChapterA3b
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix
Formal statement
theorem BookProof.ChapterA3.lorentzLie_smul {A : Matrix (Fin 4) (Fin 4) ℝ} (c : ℝ)
    (h : A ∈ LorentzLie) : c • A ∈ LorentzLie := by sorry

View graph