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`BookProof.BookBrstYangMills.ghostOpN_mul` (S T : Module.End ℂ (GhostSpace N)) : ghostOpN (S * T) = ghostOpN S * ghostOpN T

Proved
BookProof.BookBrstYangMills.ghostOpN_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBookBrstYangMills.

BookProof.BookBrstYangMills.ghostOpN_mul (S T : Module.End ℂ (GhostSpace N)) : ghostOpN (S * T) = ghostOpN S * ghostOpN T

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

Preamble
-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.ghostOpN_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.ghostOpN_mul (S T : Module.End ℂ (GhostSpace N)) :
    ghostOpN (S * T) = ghostOpN S * ghostOpN T := by sorry

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