`BookProof.ChapterA3.spinLie_traceless` {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) : G.trace = 0

Proved

BookProof.ChapterA3.spinLie_traceless

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3e.

BookProof.ChapterA3.spinLie_traceless {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) : G.trace = 0

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

Preamble

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


open Matrix

Formal statement

theorem BookProof.ChapterA3.spinLie_traceless {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) :
    G.trace = 0 := by sorry

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