The Lean 4 theorem `diagKR_hFull_hasZeroDeficiencyOn` in the `ChapterNavierStokesLagrangianKatoRellich` chapter of the timepiece formalization

Proved

BookProof.NavierStokesFlow.LagrangianKatoRellich.diagKR_hFull_hasZeroDeficiencyOn

by leonardopedro · Sep 13, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem diagKR_hFull_hasZeroDeficiencyOn in the ChapterNavierStokesLagrangianKatoRellich chapter of the timepiece formalization.

Preamble

-- Generated from ChapterNavierStokesLagrangianKatoRellich.lean — theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.diagKR_hFull_hasZeroDeficiencyOn
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianKatoRellich
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LagrangianKatoRellich
open Filter Topology
open BookProof.NavierStokesFlow.FullEsa BookProof.NavierStokesFlow.LagrangianEsa BookProof.FarisLavine
open BookProof.EsaClosure BookProof.HashimotoShiftInvert BookProof.HermiteGalerkin
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable (L : LagrangianFullData F)


























variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]
variable (L : LagrangianFullData F)








open BookProof.NavierStokesFlow.LpNat BookProof.NavierStokesFlow.DiagonalEsa

Formal statement

theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.diagKR_hFull_hasZeroDeficiencyOn :
    HasZeroDeficiencyOn diagKR.D diagKR.hFull := by sorry

Source

https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesLagrangianKatoRellich.lean

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