The Lean 4 theorem `jacobiLag_drift_not_relativelyBounded` in the `ChapterNavierStokesLagrangianKatoRellich` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.LagrangianKatoRellich.jacobiLag_drift_not_relativelyBoundedtimepiece
The Lean 4 theorem jacobiLag_drift_not_relativelyBounded in the ChapterNavierStokesLagrangianKatoRellich chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesLagrangianKatoRellich.lean — theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.jacobiLag_drift_not_relativelyBounded
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
open BookProof.NavierStokesFlow.LpNat BookProof.NavierStokesFlow.JacobiDeficiency
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.jacobiLag_drift_not_relativelyBounded :
¬ ∃ kap kap' : ℝ, 0 ≤ kap ∧ 0 ≤ kap' ∧ ∀ v : jacobiLagData.D,
‖(jacobiLagData.drift v : L2N)‖
≤ kap * (∑ j : Fin 3, ‖(jacobiLagData.P j v : L2N)‖) + kap' * ‖(v : L2N)‖ := by sorrySource