`BookProof.QuantumGravityBrstCharge.affBRST_nilpotent` : qgBRST affMat affF * qgBRST affMat affF = 0
ProvedBookProof.QuantumGravityBrstCharge.affBRST_nilpotenttheoremstimepiece
Prove the following Lean 4 theorem from ChapterQuantumGravityBrstCharge.
BookProof.QuantumGravityBrstCharge.affBRST_nilpotent : qgBRST affMat affF * qgBRST affMat affF = 0
Formalization note: Lean 4 identifier BookProof.QuantumGravityBrstCharge.affBRST_nilpotent.
Preamble
-- Generated from ChapterQuantumGravityBrstCharge.lean — theorem BookProof.QuantumGravityBrstCharge.affBRST_nilpotent
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsHermite
import Definitions.Def_ChapterQuantumGravity3DGauge
import Mathlib
import Definitions.Def_ChapterQuantumGravityBrstCharge
open BookProof.QuantumGravityBrstCharge
open MvPolynomial BookProof.BRSTNilpotent BookProof.YangMillsHermite
open BookProof.QuantumGravity3DGauge
noncomputable section
variable {R : Type*} [Ring R] [Algebra ℝ R] {n : ℕ}
variable {f : Fin n → Fin n → Fin n → ℝ} {G χ β : Fin n → R}
variable {d : ℕ}
variable {α : Type*}Formal statement
theorem BookProof.QuantumGravityBrstCharge.affBRST_nilpotent : qgBRST affMat affF * qgBRST affMat affF = 0 := by sorry