Prove2Me

`BookProof.NsBrstDerivativeGauge.nsHamAlg_ne_nsHamAlgX` (nu : ℂ) : nsHamAlg nu ≠ nsHamAlgX nu

Proved
BookProof.NsBrstDerivativeGauge.nsHamAlg_ne_nsHamAlgX

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNsBrstDerivativeGauge.

BookProof.NsBrstDerivativeGauge.nsHamAlg_ne_nsHamAlgX (nu : ℂ) : nsHamAlg nu ≠ nsHamAlgX nu

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

Preamble
-- Generated from ChapterNsBrstDerivativeGauge.lean — theorem BookProof.NsBrstDerivativeGauge.nsHamAlg_ne_nsHamAlgX
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.nsHamAlg_ne_nsHamAlgX (nu : ℂ) : nsHamAlg nu ≠ nsHamAlgX nu := by sorry

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