`BookProof.NavierStokesFlow.MomentumEsa.nsFockComparison_ikebeKato` (d : ℕ) (p q : Fin d → ℕ → ℝ) : EssentiallySelfAdjointOn (lpFiniteModes Config) ((diagMax (nsFockSymbol d p q)).

Proved

BookProof.NavierStokesFlow.MomentumEsa.nsFockComparison_ikebeKato

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumEsa.

BookProof.NavierStokesFlow.MomentumEsa.nsFockComparison_ikebeKato (d : ℕ) (p q : Fin d → ℕ → ℝ) : EssentiallySelfAdjointOn (lpFiniteModes Config) ((diagMax (nsFockSymbol d p q)).comp (Submodule.inclusion (finiteModes_le_maxDom (nsFockSymbol d p q))))

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

Preamble

-- Generated from ChapterNavierStokesMomentumEsa.lean — theorem BookProof.NavierStokesFlow.MomentumEsa.nsFockComparison_ikebeKato
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesGaugeY
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesGaugeY
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.nsFockComparison_ikebeKato (d : ℕ) (p q : Fin d → ℕ → ℝ) :
    EssentiallySelfAdjointOn (lpFiniteModes Config)
      ((diagMax (nsFockSymbol d p q)).comp
        (Submodule.inclusion (finiteModes_le_maxDom (nsFockSymbol d p q)))) := by sorry

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