`BookProof.NsBrstDerivativeGauge.genU_ccr_u` (i k : Fin 3) (p : NSAlg) : genU i (X (NSVar.u k) * p) - X (NSVar.u k) * genU i p = if i = k then p else 0

Proved

BookProof.NsBrstDerivativeGauge.genU_ccr_u

by leonardopedro · Oct 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNsBrstDerivativeGauge.

BookProof.NsBrstDerivativeGauge.genU_ccr_u (i k : Fin 3) (p : NSAlg) : genU i (X (NSVar.u k) * p) - X (NSVar.u k) * genU i p = if i = k then p else 0

Formalization note: Lean 4 identifier BookProof.NsBrstDerivativeGauge.genU_ccr_u.

Preamble

-- Generated from ChapterNsBrstDerivativeGauge.lean — theorem BookProof.NsBrstDerivativeGauge.genU_ccr_u
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Definitions.Def_ChapterNavierStokesGaugeY2
import Mathlib
import Definitions.Def_ChapterNsBrstDerivativeGauge
import Definitions.Def_ChapterNavierStokesGaugeY
open BookProof.NavierStokesGaugeY
open BookProof.NsBrstDerivativeGauge



open MvPolynomial BookProof.BRSTNilpotent BookProof.QuantumGravityBrstCharge
open BookProof.NavierStokesGaugeY BookProof.NavierStokesGaugeY2

noncomputable section

Formal statement

theorem BookProof.NsBrstDerivativeGauge.genU_ccr_u (i k : Fin 3) (p : NSAlg) :
    genU i (X (NSVar.u k) * p) - X (NSVar.u k) * genU i p = if i = k then p else 0 := by sorry

View graph