`BookProof.NavierStokesGaugeY2.uField2_pderiv_uD` (m k i : Fin 3) : pderiv (NSVar.uD m k) (uField2 i) = if m = i then X (NSVar.y k) else 0

Proved

BookProof.NavierStokesGaugeY2.uField2_pderiv_uD

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY2.

BookProof.NavierStokesGaugeY2.uField2_pderiv_uD (m k i : Fin 3) : pderiv (NSVar.uD m k) (uField2 i) = if m = i then X (NSVar.y k) else 0

Formalization note: Lean 4 identifier BookProof.NavierStokesGaugeY2.uField2_pderiv_uD.

Preamble

-- Generated from ChapterNavierStokesGaugeY2.lean — theorem BookProof.NavierStokesGaugeY2.uField2_pderiv_uD
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.uField2_pderiv_uD (m k i : Fin 3) :
    pderiv (NSVar.uD m k) (uField2 i) = if m = i then X (NSVar.y k) else 0 := by sorry

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