`BookProof.LorentzGroup.lorentz_det_sq_one` {l : Matrix (Fin 4) (Fin 4) ℝ} (h : IsLorentz l) : l.det ^ 2 = 1

Proved

BookProof.LorentzGroup.lorentz_det_sq_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzGroup.

BookProof.LorentzGroup.lorentz_det_sq_one {l : Matrix (Fin 4) (Fin 4) ℝ} (h : IsLorentz l) : l.det ^ 2 = 1

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

Preamble

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



open Matrix

Formal statement

theorem BookProof.LorentzGroup.lorentz_det_sq_one {l : Matrix (Fin 4) (Fin 4) ℝ} (h : IsLorentz l) :
    l.det ^ 2 = 1 := by sorry

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