Prove2Me

(hκ : ∀ i, 0 ≤ κ i) : EssentiallySelfAdjointOn (lpFiniteModes (Occ d)) ((fockH hκ).comp (Submodule.inclusion (finiteModes_le_maxDom (fockSym κ))))

Proved
BookProof.NavierStokesFlow.FockManyMode.fockH_essentiallySelfAdjointOn_core

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.FockManyMode.fockH_essentiallySelfAdjointOn_core (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble
-- Generated from ChapterNavierStokesFockManyMode.lean — theorem BookProof.NavierStokesFlow.FockManyMode.fockH_essentiallySelfAdjointOn_core
import Mathlib
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.DirectSumEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockManyMode

variable {d : ℕ} {κ : Fin d → ℝ}


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato ShiftHamiltonian
Formal statement
theorem BookProof.NavierStokesFlow.FockManyMode.fockH_essentiallySelfAdjointOn_core (hκ : ∀ i, 0 ≤ κ i) :
    EssentiallySelfAdjointOn (lpFiniteModes (Occ d))
      ((fockH hκ).comp (Submodule.inclusion (finiteModes_le_maxDom (fockSym κ)))) := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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