`BookProof.NavierStokesFlow.FockOfFock.hTwoLevel_isSymmetricDom` (ext : J → ℝ) (eps : K → ℝ) : IsSymmetricDom (hTwoLevel ext eps)

Proved

BookProof.NavierStokesFlow.FockOfFock.hTwoLevel_isSymmetricDom

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockEsa.

BookProof.NavierStokesFlow.FockOfFock.hTwoLevel_isSymmetricDom (ext : J → ℝ) (eps : K → ℝ) : IsSymmetricDom (hTwoLevel ext eps)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FockOfFock.hTwoLevel_isSymmetricDom.

Preamble

-- Generated from ChapterNavierStokesFockEsa.lean — theorem BookProof.NavierStokesFlow.FockOfFock.hTwoLevel_isSymmetricDom
import Mathlib
import Definitions.Def_ChapterNavierStokesFockEsa
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterNavierStokesFockSpace
import Definitions.Def_ChapterNavierStokesFullEsa
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.FockSecondQuantization
open BookProof.NavierStokesFlow.FockOfFock
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FullEsa.NSFullData
open BookProof.NavierStokesFlow


open MeasureTheory



open FullEsa LagrangianEsa

variable {M : Type*} [DecidableEq M]
variable {M : Type*} [DecidableEq M] {Ω : Type*} [MeasurableSpace Ω]
variable {J K : Type*} [DecidableEq J] [DecidableEq K]

omit [DecidableEq J] [DecidableEq K] in

Formal statement

theorem BookProof.NavierStokesFlow.FockOfFock.hTwoLevel_isSymmetricDom (ext : J → ℝ) (eps : K → ℝ) :
    IsSymmetricDom (hTwoLevel ext eps) := by sorry

View graph