`BookProof.ChapterElectroweakFieldStrength.pauli_triple_trace` (a b c : Fin 3) : (pauliV a * pauliV b * pauliV c).trace = 2 * Complex.I * eps a b c

Proved

BookProof.ChapterElectroweakFieldStrength.pauli_triple_trace

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterElectroweakFieldStrength.

BookProof.ChapterElectroweakFieldStrength.pauli_triple_trace (a b c : Fin 3) : (pauliV a * pauliV b * pauliV c).trace = 2 * Complex.I * eps a b c

Formalization note: Lean 4 identifier BookProof.ChapterElectroweakFieldStrength.pauli_triple_trace.

Preamble

-- Generated from ChapterElectroweakFieldStrength.lean — theorem BookProof.ChapterElectroweakFieldStrength.pauli_triple_trace
import Definitions.Def_ChapterParity
import Mathlib
import Definitions.Def_ChapterElectroweakFieldStrength
import Definitions.Def_ChapterParitySU2
open BookProof.ChapterParitySU2
open BookProof.ChapterElectroweakFieldStrength


open Matrix


open BookProof.ChapterParity BookProof.ChapterParitySU2

Formal statement

theorem BookProof.ChapterElectroweakFieldStrength.pauli_triple_trace (a b c : Fin 3) :
    (pauliV a * pauliV b * pauliV c).trace = 2 * Complex.I * eps a b c := by sorry

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