: EssentiallySelfAdjointOn (lpFiniteModes ι) ((hopH S).comp (Submodule.inclusion (finiteModes_le_maxDom sym)))

Open

BookProof.NavierStokesFlow.SignedShift.SignedHop.hopH_essentiallySelfAdjointOn_core

by leonardopedro · Sep 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hopH_essentiallySelfAdjointOn_core (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble

-- Generated from ChapterNavierStokesSignedShift.lean — theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hopH_essentiallySelfAdjointOn_core
import Mathlib
import Definitions.Def_ChapterNavierStokesSignedShift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SignedShift
open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.AffineFiber
open BookProof.NavierStokesFlow.SignedShift.SignedHop









open scoped ENNReal




variable {ι : Type*}



variable {sym : ι → ℝ} (S : SignedHop ι sym)

Formal statement

theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hopH_essentiallySelfAdjointOn_core :
    EssentiallySelfAdjointOn (lpFiniteModes ι)
      ((hopH S).comp (Submodule.inclusion (finiteModes_le_maxDom sym))) := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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