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`BookProof.BookBrstYangMills.gaussDer_apply` (c : Fin N) (p : FieldPoly N) : gaussDer G c p = ∑ i : Fin 4 × Fin N, gaussVec G c i * pderiv i p

Proved
BookProof.BookBrstYangMills.gaussDer_apply

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBookBrstYangMills.

BookProof.BookBrstYangMills.gaussDer_apply (c : Fin N) (p : FieldPoly N) : gaussDer G c p = ∑ i : Fin 4 × Fin N, gaussVec G c i * pderiv i p

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

Preamble
-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.gaussDer_apply
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Mathlib
import Definitions.Def_ChapterBookBrstYangMills
open BookProof.BookBrstYangMills



open MvPolynomial BookProof.BRSTNilpotent BookProof.QuantumGravityBrstCharge

noncomputable section

variable {N : ℕ} (G : GaugeAlgebra N)
Formal statement
theorem BookProof.BookBrstYangMills.gaussDer_apply (c : Fin N) (p : FieldPoly N) :
    gaussDer G c p = ∑ i : Fin 4 × Fin N, gaussVec G c i * pderiv i p := by sorry

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