`BookProof.BookBrstYangMills.bosOpN_sum` {n : ℕ} (T : Fin n → Module.End ℂ (FieldPoly N)) : bosOpN (∑ e, T e) = ∑ e, bosOpN (T e)

Proved

BookProof.BookBrstYangMills.bosOpN_sum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBookBrstYangMills.

BookProof.BookBrstYangMills.bosOpN_sum {n : ℕ} (T : Fin n → Module.End ℂ (FieldPoly N)) : bosOpN (∑ e, T e) = ∑ e, bosOpN (T e)

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

Preamble

-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.bosOpN_sum
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_sum {n : ℕ} (T : Fin n → Module.End ℂ (FieldPoly N)) :
    bosOpN (∑ e, T e) = ∑ e, bosOpN (T e) := by sorry

View graph