`BookProof.NavierStokesFlow.MomentumEsa.fockComparison_ikebeKato` (n : ℕ → ℝ) (hn : ∀ k, 0 ≤ n k) : EssentiallySelfAdjointOn (lpFiniteModes Config) ((diagMax (fockSymbol n)).comp (

Proved

BookProof.NavierStokesFlow.MomentumEsa.fockComparison_ikebeKato

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumEsa.

BookProof.NavierStokesFlow.MomentumEsa.fockComparison_ikebeKato (n : ℕ → ℝ) (hn : ∀ k, 0 ≤ n k) : EssentiallySelfAdjointOn (lpFiniteModes Config) ((diagMax (fockSymbol n)).comp (Submodule.inclusion (finiteModes_le_maxDom (fockSymbol n))))

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumEsa.fockComparison_ikebeKato.

Preamble

-- Generated from ChapterNavierStokesMomentumEsa.lean — theorem BookProof.NavierStokesFlow.MomentumEsa.fockComparison_ikebeKato
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumEsa




open LpNat BookProof.FarisLavine IkebeKato FarisLavineLift DiagonalEsa

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumEsa.fockComparison_ikebeKato (n : ℕ → ℝ) (hn : ∀ k, 0 ≤ n k) :
    EssentiallySelfAdjointOn (lpFiniteModes Config)
      ((diagMax (fockSymbol n)).comp
        (Submodule.inclusion (finiteModes_le_maxDom (fockSymbol n)))) := by sorry

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