`BookProof.NavierStokesFlow.MomentumEsa.nsComparison_ikebeKato` (d : ℕ) (p q : Fin d → ℕ → ℝ) : EssentiallySelfAdjointOn (lpFiniteModes ℕ) ((lpFiniteModes ℕ).subtype.comp (diagComp

Proved

BookProof.NavierStokesFlow.MomentumEsa.nsComparison_ikebeKato

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumEsa.

BookProof.NavierStokesFlow.MomentumEsa.nsComparison_ikebeKato (d : ℕ) (p q : Fin d → ℕ → ℝ) : EssentiallySelfAdjointOn (lpFiniteModes ℕ) ((lpFiniteModes ℕ).subtype.comp (diagComparisonData d p q).comparison)

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

Preamble

-- Generated from ChapterNavierStokesMomentumEsa.lean — theorem BookProof.NavierStokesFlow.MomentumEsa.nsComparison_ikebeKato
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFarisLavineLift
import Definitions.Def_ChapterNavierStokesGaugeY
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.JacobiDeficiency
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FarisLavineLift.ComparisonData
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.nsComparison_ikebeKato (d : ℕ) (p q : Fin d → ℕ → ℝ) :
    EssentiallySelfAdjointOn (lpFiniteModes ℕ)
      ((lpFiniteModes ℕ).subtype.comp (diagComparisonData d p q).comparison) := by sorry

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