`BookProof.ChapterF1.bargmann_creat_annih` (m n : ℕ) : bargmann (creat (X ^ m)) (X ^ n) = bargmann (X ^ m) (annih (X ^ n))

Proved

BookProof.ChapterF1.bargmann_creat_annih

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.bargmann_creat_annih (m n : ℕ) : bargmann (creat (X ^ m)) (X ^ n) = bargmann (X ^ m) (annih (X ^ n))

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

Preamble

-- Generated from ChapterF1.lean — theorem BookProof.ChapterF1.bargmann_creat_annih
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.bargmann_creat_annih (m n : ℕ) :
    bargmann (creat (X ^ m)) (X ^ n) = bargmann (X ^ m) (annih (X ^ n)) := by sorry

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