`BookProof.NavierStokesFlow.FockLagrangian.momFock_not_bounded` : ¬ ∃ C : ℝ, ∀ v : momFock.core, ‖((momFock.data.hFull v : momFock.core) : Lp ℂ 2 fockR)‖ ≤ C * ‖((v : momFock.core)

Proved

BookProof.NavierStokesFlow.FockLagrangian.momFock_not_bounded

by leonardopedro · Oct 18, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockParcels.

BookProof.NavierStokesFlow.FockLagrangian.momFock_not_bounded : ¬ ∃ C : ℝ, ∀ v : momFock.core, ‖((momFock.data.hFull v : momFock.core) : Lp ℂ 2 fockR)‖ ≤ C * ‖((v : momFock.core) : Lp ℂ 2 fockR)‖

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FockLagrangian.momFock_not_bounded.

Preamble

-- Generated from ChapterNavierStokesFockParcels.lean — theorem BookProof.NavierStokesFlow.FockLagrangian.momFock_not_bounded
import Mathlib
import Definitions.Def_ChapterNavierStokesFockParcels
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesFockContinuum
import Definitions.Def_ChapterNavierStokesThreeComponent
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesFockLagrangian
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.ThreeComponent
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockLagrangian


open MeasureTheory



open FullEsa FockContinuum

variable {Ω : Type*} [MeasurableSpace Ω]

Formal statement

theorem BookProof.NavierStokesFlow.FockLagrangian.momFock_not_bounded :
    ¬ ∃ C : ℝ, ∀ v : momFock.core,
      ‖((momFock.data.hFull v : momFock.core) : Lp ℂ 2 fockR)‖
        ≤ C * ‖((v : momFock.core) : Lp ℂ 2 fockR)‖ := by sorry

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