`BookProof.NavierStokesFlow.FockContinuum.boundedEnergyCore_dense` (μ : Measure X) {g : X → ℝ} (hg : Measurable g) : Dense ((boundedEnergyCore μ g : Submodule ℂ (Lp ℂ 2 μ)) : Set (

Proved

BookProof.NavierStokesFlow.FockContinuum.boundedEnergyCore_dense

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockContinuum.

BookProof.NavierStokesFlow.FockContinuum.boundedEnergyCore_dense (μ : Measure X) {g : X → ℝ} (hg : Measurable g) : Dense ((boundedEnergyCore μ g : Submodule ℂ (Lp ℂ 2 μ)) : Set (Lp ℂ 2 μ))

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FockContinuum.boundedEnergyCore_dense.

Preamble

-- Generated from ChapterNavierStokesFockContinuum.lean — theorem BookProof.NavierStokesFlow.FockContinuum.boundedEnergyCore_dense
import Mathlib
import Definitions.Def_ChapterNavierStokesFockContinuum
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockContinuum


open MeasureTheory



open FullEsa

variable {X : Type*} [MeasurableSpace X]

Formal statement

theorem BookProof.NavierStokesFlow.FockContinuum.boundedEnergyCore_dense (μ : Measure X) {g : X → ℝ} (hg : Measurable g) :
    Dense ((boundedEnergyCore μ g : Submodule ℂ (Lp ℂ 2 μ)) : Set (Lp ℂ 2 μ)) := by sorry

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