`BookProof.NavierStokesGaugeY2.genY2_leibniz` (j : Fin 3) (p q : NSAlg) : genY2 j (p * q) = genY2 j p * q + p * genY2 j q

Proved

BookProof.NavierStokesGaugeY2.genY2_leibniz

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY2.

BookProof.NavierStokesGaugeY2.genY2_leibniz (j : Fin 3) (p q : NSAlg) : genY2 j (p * q) = genY2 j p * q + p * genY2 j q

Formalization note: Lean 4 identifier BookProof.NavierStokesGaugeY2.genY2_leibniz.

Preamble

-- Generated from ChapterNavierStokesGaugeY2.lean — theorem BookProof.NavierStokesGaugeY2.genY2_leibniz
import Mathlib
import Definitions.Def_ChapterNavierStokesGaugeY2
import Definitions.Def_ChapterNavierStokesGaugeY
open BookProof.NavierStokesGaugeY
open BookProof.NavierStokesGaugeY2



open MvPolynomial BookProof.NavierStokesGaugeY

Formal statement

theorem BookProof.NavierStokesGaugeY2.genY2_leibniz (j : Fin 3) (p q : NSAlg) :
    genY2 j (p * q) = genY2 j p * q + p * genY2 j q := by sorry

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