Prove2Me

`BookProof.ChapterF2.hamiltonian_commutes_numberOp` : hamiltonian ∘ₗ numberOp = numberOp ∘ₗ hamiltonian

Proved
BookProof.ChapterF2.hamiltonian_commutes_numberOp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF2.

BookProof.ChapterF2.hamiltonian_commutes_numberOp : hamiltonian ∘ₗ numberOp = numberOp ∘ₗ hamiltonian

Formalization note: Lean 4 identifier BookProof.ChapterF2.hamiltonian_commutes_numberOp.

Preamble
-- Generated from ChapterF2.lean — theorem BookProof.ChapterF2.hamiltonian_commutes_numberOp
import Definitions.Def_ChapterF1
import Mathlib
import Definitions.Def_ChapterF2
import Definitions.Def_ChapterGhostField
import Definitions.Def_ChapterNavierStokesFullEsa
open BookProof.GhostField
open BookProof.NavierStokesFlow.FullEsa
open BookProof.NavierStokesFlow.FullEsa.NSFullData
open BookProof.ChapterF2


open Polynomial Finset
open scoped BigOperators


open BookProof.ChapterF1

noncomputable section
Formal statement
theorem BookProof.ChapterF2.hamiltonian_commutes_numberOp :
    hamiltonian ∘ₗ numberOp = numberOp ∘ₗ hamiltonian := by sorry

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