`BookProof.ChapterF1.symmetric_ordering_vacuum` : hamiltonianSym (1 : ℂ[X]) = (2⁻¹ : ℂ) • (1 : ℂ[X])

Proved

BookProof.ChapterF1.symmetric_ordering_vacuum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.symmetric_ordering_vacuum : hamiltonianSym (1 : ℂ[X]) = (2⁻¹ : ℂ) • (1 : ℂ[X])

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

Preamble

-- Generated from ChapterF1.lean — theorem BookProof.ChapterF1.symmetric_ordering_vacuum
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.symmetric_ordering_vacuum : hamiltonianSym (1 : ℂ[X]) = (2⁻¹ : ℂ) • (1 : ℂ[X]) := by sorry

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