`BookProof.BookBrstYangMills.bookConstraintAlgebra` : ConstraintAlgebra G.f (gaussGen G) chiOp betaOp where comm_chi _ _
ProvedBookProof.BookBrstYangMills.bookConstraintAlgebratheoremstimepiece
Prove the following Lean 4 theorem from ChapterBookBrstYangMills.
BookProof.BookBrstYangMills.bookConstraintAlgebra : ConstraintAlgebra G.f (gaussGen G) chiOp betaOp where comm_chi _ _
Formalization note: Lean 4 identifier BookProof.BookBrstYangMills.bookConstraintAlgebra.
Preamble
-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.bookConstraintAlgebra
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Mathlib
import Definitions.Def_ChapterBookBrstYangMills
import Definitions.Def_ChapterYangMillsGhostSector
import Theorems.Thm_BookProof_BookBrstYangMills_bosOpN_ghostOpN_comm
open BookProof.YangMillsGhost
open BookProof.BookBrstYangMills
open MvPolynomial BookProof.BRSTNilpotent BookProof.QuantumGravityBrstCharge
noncomputable section
variable {N : ℕ} (G : GaugeAlgebra N)
-- `comm_chi` and `comm_beta` are direct instances of the published sibling
-- `bosOpN_ghostOpN_comm`, and `bracket` of `gaussGen_bracket`. The statement
-- stub keeps a single sorried field (the pipeline's stub-sanity contract);
-- the full three-field proof is carried by the solution submission.Formal statement
theorem BookProof.BookBrstYangMills.bookConstraintAlgebra : ConstraintAlgebra G.f (gaussGen G) chiOp betaOp where comm_chi _ _ := bosOpN_ghostOpN_comm _ _ comm_beta _ _ := bosOpN_ghostOpN_comm _ _ bracket a b := by sorry