`BookProof.NavierStokesGaugeY.genX_leibniz` (j : Fin 3) (p q : NSAlg) : genX j (p * q) = genX j p * q + p * genX j q

Proved

BookProof.NavierStokesGaugeY.genX_leibniz

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY.

BookProof.NavierStokesGaugeY.genX_leibniz (j : Fin 3) (p q : NSAlg) : genX j (p * q) = genX j p * q + p * genX j q

Formalization note: Lean 4 identifier BookProof.NavierStokesGaugeY.genX_leibniz.

Preamble

-- Generated from ChapterNavierStokesGaugeY.lean — theorem BookProof.NavierStokesGaugeY.genX_leibniz
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Mathlib
import Definitions.Def_ChapterNavierStokesGaugeY
open BookProof.NavierStokesGaugeY



open MvPolynomial BookProof.NavierStokesFlow

Formal statement

theorem BookProof.NavierStokesGaugeY.genX_leibniz (j : Fin 3) (p q : NSAlg) :
    genX j (p * q) = genX j p * q + p * genX j q := by sorry

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