`BookProof.ChapterGellMann.gellMann_trace_orthonormal` (a b : Fin 8) : (gellMann a * gellMann b).trace = (if a = b then (2 : ℂ) else 0)

Proved

BookProof.ChapterGellMann.gellMann_trace_orthonormal

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGellMann.

BookProof.ChapterGellMann.gellMann_trace_orthonormal (a b : Fin 8) : (gellMann a * gellMann b).trace = (if a = b then (2 : ℂ) else 0)

Formalization note: Lean 4 identifier BookProof.ChapterGellMann.gellMann_trace_orthonormal.

Preamble

-- Generated from ChapterGellMann.lean — theorem BookProof.ChapterGellMann.gellMann_trace_orthonormal
import Mathlib
import Definitions.Def_ChapterGellMann
import Definitions.Def_ChapterParity
open BookProof.ChapterParity
open BookProof.ChapterGellMann


open Matrix


open BookProof.ChapterParity

Formal statement

theorem BookProof.ChapterGellMann.gellMann_trace_orthonormal (a b : Fin 8) :
    (gellMann a * gellMann b).trace = (if a = b then (2 : ℂ) else 0) := by sorry

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