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`BookProof.ChapterA3.spinLie_det_exp_eq_one` {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) : (NormedSpace.exp G).det = 1

Proved
BookProof.ChapterA3.spinLie_det_exp_eq_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3f.

BookProof.ChapterA3.spinLie_det_exp_eq_one {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) : (NormedSpace.exp G).det = 1

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

Preamble
-- Generated from ChapterA3f.lean — theorem BookProof.ChapterA3.spinLie_det_exp_eq_one
import Mathlib
import Definitions.Def_ChapterA3f
import Definitions.Def_ChapterA3e
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix NormedSpace
open scoped Norms.Operator


variable {n : ℕ}
Formal statement
theorem BookProof.ChapterA3.spinLie_det_exp_eq_one {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) :
    (NormedSpace.exp G).det = 1 := by sorry

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