`BookProof.BookBrstYangMills.bosOpN_mul` (S T : Module.End ℂ (FieldPoly N)) : bosOpN (S * T) = bosOpN S * bosOpN T

Proved

BookProof.BookBrstYangMills.bosOpN_mul

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBookBrstYangMills.

BookProof.BookBrstYangMills.bosOpN_mul (S T : Module.End ℂ (FieldPoly N)) : bosOpN (S * T) = bosOpN S * bosOpN T

Formalization note: Lean 4 identifier BookProof.BookBrstYangMills.bosOpN_mul.

Preamble

-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.bosOpN_mul
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Mathlib
import Definitions.Def_ChapterBookBrstYangMills
import Definitions.Def_ChapterYangMillsGhostSector
open BookProof.YangMillsGhost
open BookProof.BookBrstYangMills



open MvPolynomial BookProof.BRSTNilpotent BookProof.QuantumGravityBrstCharge

noncomputable section

variable {N : ℕ} (G : GaugeAlgebra N)

Formal statement

theorem BookProof.BookBrstYangMills.bosOpN_mul (S T : Module.End ℂ (FieldPoly N)) :
    bosOpN (S * T) = bosOpN S * bosOpN T := by sorry

View graph