`BookProof.ChapterGaugeMechanicsCharge.chargeQ_not_commute_field` (j : Fin 2) (p : P) : chargeQ (X j * p) - X j * chargeQ p = (-Complex.I) • (X j * p)

Proved

BookProof.ChapterGaugeMechanicsCharge.chargeQ_not_commute_field

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeMechanicsCharge.

BookProof.ChapterGaugeMechanicsCharge.chargeQ_not_commute_field (j : Fin 2) (p : P) : chargeQ (X j * p) - X j * chargeQ p = (-Complex.I) • (X j * p)

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

Preamble

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




open MvPolynomial

Formal statement

theorem BookProof.ChapterGaugeMechanicsCharge.chargeQ_not_commute_field (j : Fin 2) (p : P) :
    chargeQ (X j * p) - X j * chargeQ p = (-Complex.I) • (X j * p) := by sorry

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