`BookProof.NavierStokesFlow.FockContinuum.multOp_hasZeroDeficiencyOn` (μ : Measure X) {g : X → ℝ} (hg : Measurable g) : HasZeroDeficiencyOn (boundedEnergyCore μ g) (multOp μ hg)

Proved

BookProof.NavierStokesFlow.FockContinuum.multOp_hasZeroDeficiencyOn

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockContinuum.

BookProof.NavierStokesFlow.FockContinuum.multOp_hasZeroDeficiencyOn (μ : Measure X) {g : X → ℝ} (hg : Measurable g) : HasZeroDeficiencyOn (boundedEnergyCore μ g) (multOp μ hg)

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

Preamble

-- Generated from ChapterNavierStokesFockContinuum.lean — theorem BookProof.NavierStokesFlow.FockContinuum.multOp_hasZeroDeficiencyOn
import Mathlib
import Definitions.Def_ChapterNavierStokesFockContinuum
import Definitions.Def_ChapterLinftyMultiplication
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterLinftyMultiplication
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockContinuum


open MeasureTheory



open FullEsa

variable {X : Type*} [MeasurableSpace X]

Formal statement

theorem BookProof.NavierStokesFlow.FockContinuum.multOp_hasZeroDeficiencyOn (μ : Measure X) {g : X → ℝ} (hg : Measurable g) :
    HasZeroDeficiencyOn (boundedEnergyCore μ g) (multOp μ hg) := by sorry

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