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canH_essentiallySelfAdjointOn_core

Proved
BookProof.NavierStokesFlow.CanonicalVector.canH_essentiallySelfAdjointOn_core

by leonardopedro · Oct 2, 2026 · Mathlib 0df444a (Lean v4.33.1)

formalizationtimepiece

Formal statement of BookProof.NavierStokesFlow.CanonicalVector.canH_essentiallySelfAdjointOn_core from the timepiece Lean 4 formalization (source chapter BookProof/ChapterNavierStokesCanonicalVector.lean).

Preamble
-- Generated from ChapterNavierStokesCanonicalVector.lean — theorem BookProof.NavierStokesFlow.CanonicalVector.canH_essentiallySelfAdjointOn_core
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterNavierStokesCanonicalVector
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.CanonicalVector

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


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato ThreeComponent ShiftHamiltonian SignedShift
Formal statement
theorem BookProof.NavierStokesFlow.CanonicalVector.canH_essentiallySelfAdjointOn_core :
    EssentiallySelfAdjointOn (lpFiniteModes Vel)
      ((lpFiniteModes Vel).subtype.comp (canH A c)) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesCanonicalVector.lean

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