Prove2Me

`BookProof.SmDiracYukawa.smFermiHam_eq` (hD M : Matrix (Fin n) (Fin n) ℂ) (z : ℂ) : smFermiHam hD M z = smDirac hD + smYukawa M z

Proved
BookProof.SmDiracYukawa.smFermiHam_eq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracYukawa.

BookProof.SmDiracYukawa.smFermiHam_eq (hD M : Matrix (Fin n) (Fin n) ℂ) (z : ℂ) : smFermiHam hD M z = smDirac hD + smYukawa M z

Formalization note: Lean 4 identifier BookProof.SmDiracYukawa.smFermiHam_eq.

Preamble
-- Generated from ChapterSmDiracYukawa.lean — theorem BookProof.SmDiracYukawa.smFermiHam_eq
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracYukawa
import Definitions.Def_ChapterSmCarAlgebra
open BookProof.SmCar
open BookProof.SmDiracYukawa



open Finset Matrix
open BookProof.SmCar BookProof.FarisLavine

variable {n : ℕ}

noncomputable section
Formal statement
theorem BookProof.SmDiracYukawa.smFermiHam_eq (hD M : Matrix (Fin n) (Fin n) ℂ) (z : ℂ) :
    smFermiHam hD M z = smDirac hD + smYukawa M z := by sorry

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