`BookProof.SmDiracSpinor.diracOneParticle_hermitian` : (diracOneParticle k m1 m2).conjTranspose = diracOneParticle k m1 m2

Proved

BookProof.SmDiracSpinor.diracOneParticle_hermitian

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracSpinor.

BookProof.SmDiracSpinor.diracOneParticle_hermitian : (diracOneParticle k m1 m2).conjTranspose = diracOneParticle k m1 m2

Formalization note: Lean 4 identifier BookProof.SmDiracSpinor.diracOneParticle_hermitian.

Preamble

-- Generated from ChapterSmDiracSpinor.lean — theorem BookProof.SmDiracSpinor.diracOneParticle_hermitian
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterSmDiracYukawa
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracSpinor
import Definitions.Def_ChapterCPTHamiltonian
open BookProof.ChapterCPTHamiltonian
open BookProof.SmDiracSpinor



open Matrix
open BookProof.ChapterCPTHamiltonian BookProof.SmCar BookProof.SmDiracYukawa
open BookProof.FarisLavine

noncomputable section

variable {k : Fin 3 → ℝ} {m1 m2 : ℝ}

Formal statement

theorem BookProof.SmDiracSpinor.diracOneParticle_hermitian :
    (diracOneParticle k m1 m2).conjTranspose = diracOneParticle k m1 m2 := by sorry

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