Prove2Me

`BookProof.ChapterF1.bargmann_eq_sum` (p q : ℂ[X]) {s : Finset ℕ} (hp : p.support ⊆ s) (hq : q.support ⊆ s) : bargmann p q = ∑ n ∈ s, (n.factorial : ℂ) * (starRingEnd ℂ) (p.coeff n

Proved
BookProof.ChapterF1.bargmann_eq_sum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.bargmann_eq_sum (p q : ℂ[X]) {s : Finset ℕ} (hp : p.support ⊆ s) (hq : q.support ⊆ s) : bargmann p q = ∑ n ∈ s, (n.factorial : ℂ) * (starRingEnd ℂ) (p.coeff n) * q.coeff n

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

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


open Polynomial Finset
open scoped BigOperators


noncomputable section
Formal statement
theorem BookProof.ChapterF1.bargmann_eq_sum (p q : ℂ[X]) {s : Finset ℕ}
    (hp : p.support ⊆ s) (hq : q.support ⊆ s) :
    bargmann p q = ∑ n ∈ s, (n.factorial : ℂ) * (starRingEnd ℂ) (p.coeff n) * q.coeff n := by sorry

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