`BookProof.ChapterSE2.Nmat_inv` (a b : ℝ) : Nmat a b * Nmat (-a) (-b) = 1

Proved

BookProof.ChapterSE2.Nmat_inv

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSE2.

BookProof.ChapterSE2.Nmat_inv (a b : ℝ) : Nmat a b * Nmat (-a) (-b) = 1

Formalization note: Lean 4 identifier BookProof.ChapterSE2.Nmat_inv.

Preamble

-- Generated from ChapterSE2.lean — theorem BookProof.ChapterSE2.Nmat_inv
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterSE2
open BookProof.ChapterSE2


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterSE2.Nmat_inv (a b : ℝ) : Nmat a b * Nmat (-a) (-b) = 1 := by sorry

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