`BookProof.ChapterGaugeMechanicsCharge.ccr_phi_pi` (p : P) : (fieldOp 0) (momOp 0 p) - (momOp 0) (fieldOp 0 p) = Complex.I • p

Proved

BookProof.ChapterGaugeMechanicsCharge.ccr_phi_pi

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeMechanicsCharge.

BookProof.ChapterGaugeMechanicsCharge.ccr_phi_pi (p : P) : (fieldOp 0) (momOp 0 p) - (momOp 0) (fieldOp 0 p) = Complex.I • p

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

Preamble

-- Generated from ChapterGaugeMechanicsCharge.lean — theorem BookProof.ChapterGaugeMechanicsCharge.ccr_phi_pi
import Mathlib
import Definitions.Def_ChapterGaugeMechanicsCharge
import Definitions.Def_ChapterNavierStokesDifferentialL2
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.ChapterGaugeMechanicsCharge




open MvPolynomial

Formal statement

theorem BookProof.ChapterGaugeMechanicsCharge.ccr_phi_pi (p : P) :
    (fieldOp 0) (momOp 0 p) - (momOp 0) (fieldOp 0 p) = Complex.I • p := by sorry

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