`BookProof.NavierStokesGaugeY.pderiv_swap` (a b : NSVar) (p : NSAlg) : pderiv a (pderiv b p) = pderiv b (pderiv a p)

Proved

BookProof.NavierStokesGaugeY.pderiv_swap

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY.

BookProof.NavierStokesGaugeY.pderiv_swap (a b : NSVar) (p : NSAlg) : pderiv a (pderiv b p) = pderiv b (pderiv a p)

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

Preamble

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



open MvPolynomial BookProof.NavierStokesFlow

Formal statement

theorem BookProof.NavierStokesGaugeY.pderiv_swap (a b : NSVar) (p : NSAlg) :
    pderiv a (pderiv b p) = pderiv b (pderiv a p) := by sorry

View graph