`BookProof.ChapterF1.bargmann_monomial_left` (m : ℕ) (q : ℂ[X]) : bargmann (X ^ m) q = (m.factorial : ℂ) * q.coeff m

Proved

BookProof.ChapterF1.bargmann_monomial_left

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.bargmann_monomial_left (m : ℕ) (q : ℂ[X]) : bargmann (X ^ m) q = (m.factorial : ℂ) * q.coeff m

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

Preamble

-- Generated from ChapterF1.lean — theorem BookProof.ChapterF1.bargmann_monomial_left
import Mathlib
import Definitions.Def_ChapterF1
open BookProof.ChapterF1


open Polynomial Finset
open scoped BigOperators


noncomputable section

Formal statement

theorem BookProof.ChapterF1.bargmann_monomial_left (m : ℕ) (q : ℂ[X]) :
    bargmann (X ^ m) q = (m.factorial : ℂ) * q.coeff m := by sorry

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