`BookProof.QuantumGravityBrstCharge.affF_contract` (x y z w : Fin 19) : ∑ e, affF x y e * affF e z w = affEps x y * (if w = 1 then affEps 1 z else 0)

-- Generated from ChapterQuantumGravityBrstCharge.lean — theorem BookProof.QuantumGravityBrstCharge.affF_contract
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*}

theorem BookProof.QuantumGravityBrstCharge.affF_contract (x y z w : Fin 19) :
    ∑ e, affF x y e * affF e z w = affEps x y * (if w = 1 then affEps 1 z else 0) := by sorry