`BookProof.SmDiracYukawa.fermiBilin_add` (A B : Matrix (Fin n) (Fin n) ℂ) : fermiBilin (A + B) = fermiBilin A + fermiBilin B

Proved

BookProof.SmDiracYukawa.fermiBilin_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracYukawa.

BookProof.SmDiracYukawa.fermiBilin_add (A B : Matrix (Fin n) (Fin n) ℂ) : fermiBilin (A + B) = fermiBilin A + fermiBilin B

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

Preamble

-- Generated from ChapterSmDiracYukawa.lean — theorem BookProof.SmDiracYukawa.fermiBilin_add
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracYukawa
import Definitions.Def_ChapterNavierStokesFockSpace
import Definitions.Def_ChapterSmCarAlgebra
open BookProof.NavierStokesFlow.FockOfFock
open BookProof.SmCar
open BookProof.SmDiracYukawa



open Finset Matrix
open BookProof.SmCar BookProof.FarisLavine

variable {n : ℕ}

noncomputable section

Formal statement

theorem BookProof.SmDiracYukawa.fermiBilin_add (A B : Matrix (Fin n) (Fin n) ℂ) :
    fermiBilin (A + B) = fermiBilin A + fermiBilin B := by sorry

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