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`BookProof.BookBrstYangMills.bookConstraintAlgebra` : ConstraintAlgebra G.f (gaussGen G) chiOp betaOp where comm_chi _ _

Proved
BookProof.BookBrstYangMills.bookConstraintAlgebra

by leonardopedro · Oct 19, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

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

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