The Lean 4 theorem `velCore_symmetricOn` in the `ChapterNavierStokesHashimoto` chapter of the timepiece formalization

-- Generated from ChapterNavierStokesHashimoto.lean — theorem BookProof.NavierStokesFlow.NSHashimoto.velCore_symmetricOn
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterComplexShiftCore
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Mathlib
import Definitions.Def_ChapterNavierStokesHashimoto
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesThreeComponent
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow.IkebeKato
open BookProof.NavierStokesFlow.ThreeComponent
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.NSHashimoto


open Filter Topology



open BookProof.FarisLavine BookProof.HashimotoShiftInvert BookProof.EsaClosure
open BookProof.HermiteGalerkin
open BookProof.NavierStokesFlow.ThreeComponent
open BookProof.NavierStokesFlow.IkebeKato

variable (A : Matrix (Fin 3) (Fin 3) ℝ) (c : Fin 3 → ℝ)

theorem BookProof.NavierStokesFlow.NSHashimoto.velCore_symmetricOn : SymmetricOn (lpFiniteModes Vel) (velCore A c) := by sorry