Prove2Me

`BookProof.ChapterGaugeMechanicsCharge.bilinear_commutes_chargeQ` (j k : Fin 2) (p : P) : chargeQ (X j * pderiv k p) = X j * pderiv k (chargeQ p)

Proved
BookProof.ChapterGaugeMechanicsCharge.bilinear_commutes_chargeQ

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeMechanicsCharge.

BookProof.ChapterGaugeMechanicsCharge.bilinear_commutes_chargeQ (j k : Fin 2) (p : P) : chargeQ (X j * pderiv k p) = X j * pderiv k (chargeQ p)

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

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




open MvPolynomial
Formal statement
theorem BookProof.ChapterGaugeMechanicsCharge.bilinear_commutes_chargeQ (j k : Fin 2) (p : P) :
    chargeQ (X j * pderiv k p) = X j * pderiv k (chargeQ p) := by sorry

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