`BookProof.ChapterF1.field_ccr` : fieldPhi ∘ₗ fieldPi - fieldPi ∘ₗ fieldPhi = (2 * Complex.I) • LinearMap.id

Proved

BookProof.ChapterF1.field_ccr

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.field_ccr : fieldPhi ∘ₗ fieldPi - fieldPi ∘ₗ fieldPhi = (2 * Complex.I) • LinearMap.id

Formalization note: Lean 4 identifier BookProof.ChapterF1.field_ccr.

Preamble

-- Generated from ChapterF1.lean — theorem BookProof.ChapterF1.field_ccr
import Mathlib
import Definitions.Def_ChapterF1
import Definitions.Def_ChapterNavierStokesFockSpace
open BookProof.NavierStokesFlow.FockOfFock
open BookProof.ChapterF1


open Polynomial Finset
open scoped BigOperators


noncomputable section

Formal statement

theorem BookProof.ChapterF1.field_ccr :
    fieldPhi ∘ₗ fieldPi - fieldPi ∘ₗ fieldPhi = (2 * Complex.I) • LinearMap.id := by sorry

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