`BookProof.ChapterGaugeMechanicsCharge.chargeQ_comm_mul` (g p : P) : chargeQ (g * p) - g * chargeQ p = (-Complex.I) • (eulerOp g * p)

Proved

BookProof.ChapterGaugeMechanicsCharge.chargeQ_comm_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeMechanicsCharge.

BookProof.ChapterGaugeMechanicsCharge.chargeQ_comm_mul (g p : P) : chargeQ (g * p) - g * chargeQ p = (-Complex.I) • (eulerOp g * p)

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

Preamble

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




open MvPolynomial

Formal statement

theorem BookProof.ChapterGaugeMechanicsCharge.chargeQ_comm_mul (g p : P) :
    chargeQ (g * p) - g * chargeQ p = (-Complex.I) • (eulerOp g * p) := by sorry

View graph