The Lean 4 theorem `hFull_essentiallySelfAdjointOn` in the `ChapterNavierStokesLagrangianKatoRellich` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.LagrangianKatoRellich.hFull_essentiallySelfAdjointOntimepiece
The Lean 4 theorem hFull_essentiallySelfAdjointOn in the ChapterNavierStokesLagrangianKatoRellich chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesLagrangianKatoRellich.lean — theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.hFull_essentiallySelfAdjointOn
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianKatoRellich
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LagrangianKatoRellich
open Filter Topology
open BookProof.NavierStokesFlow.FullEsa BookProof.NavierStokesFlow.LagrangianEsa BookProof.FarisLavine
open BookProof.EsaClosure BookProof.HashimotoShiftInvert BookProof.HermiteGalerkin
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable (L : LagrangianFullData F)Formal statement
theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.hFull_essentiallySelfAdjointOn [CompleteSpace F] {kap kap' cc : ℝ}
(hkap : 0 ≤ kap) (hkap' : 0 ≤ kap') (hcc : 0 ≤ cc)
(hdrift : ∀ v : L.D,
‖(L.drift v : F)‖ ≤ kap * (∑ j : Fin 3, ‖(L.P j v : F)‖) + kap' * ‖(v : F)‖)
(hC : ∀ v : L.D, ‖(L.constraintOp v : F)‖ ≤ cc * ‖(v : F)‖)
(hT : EssentiallySelfAdjointOn L.D (L.D.subtype.comp (secondOrder L))) :
EssentiallySelfAdjointOn L.D (lagrangianCore L) := by sorrySource