`BookProof.ChapterF1.bargmann_monomial` (m n : ℕ) : bargmann (X ^ m) (X ^ n) = if m = n then (n.factorial : ℂ) else 0

Proved

BookProof.ChapterF1.bargmann_monomial

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.bargmann_monomial (m n : ℕ) : bargmann (X ^ m) (X ^ n) = if m = n then (n.factorial : ℂ) else 0

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

Preamble

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


open Polynomial Finset
open scoped BigOperators


noncomputable section

Formal statement

theorem BookProof.ChapterF1.bargmann_monomial (m n : ℕ) :
    bargmann (X ^ m) (X ^ n) = if m = n then (n.factorial : ℂ) else 0 := by sorry

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