`BookProof.ChapterGaugeMechanicsCharge.pderiv_comm_core` (j k : Fin 2) (p : P) : pderiv j (pderiv k p) = pderiv k (pderiv j p)

Proved

BookProof.ChapterGaugeMechanicsCharge.pderiv_comm_core

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeMechanicsCharge.

BookProof.ChapterGaugeMechanicsCharge.pderiv_comm_core (j k : Fin 2) (p : P) : pderiv j (pderiv k p) = pderiv k (pderiv j p)

Formalization note: Lean 4 identifier BookProof.ChapterGaugeMechanicsCharge.pderiv_comm_core.

Preamble

-- Generated from ChapterGaugeMechanicsCharge.lean — theorem BookProof.ChapterGaugeMechanicsCharge.pderiv_comm_core
import Mathlib
import Definitions.Def_ChapterGaugeMechanicsCharge
open BookProof.ChapterGaugeMechanicsCharge




open MvPolynomial

Formal statement

theorem BookProof.ChapterGaugeMechanicsCharge.pderiv_comm_core (j k : Fin 2) (p : P) :
    pderiv j (pderiv k p) = pderiv k (pderiv j p) := by sorry

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