`BookProof.ChapterF1.numberOp_monomial` (n : ℕ) : numberOp (X ^ n) = (n : ℂ) • X ^ n

Proved

BookProof.ChapterF1.numberOp_monomial

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.numberOp_monomial (n : ℕ) : numberOp (X ^ n) = (n : ℂ) • X ^ n

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

Preamble

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


open Polynomial Finset
open scoped BigOperators


noncomputable section

Formal statement

theorem BookProof.ChapterF1.numberOp_monomial (n : ℕ) : numberOp (X ^ n) = (n : ℂ) • X ^ n := by sorry

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