`BookProof.NavierStokesFlow.FockLagrangian.fockR_total_level` {r : ℝ} (hr : r ≠ 0) : fockR {x | momFock.total x = r} = 0

Proved

BookProof.NavierStokesFlow.FockLagrangian.fockR_total_level

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockParcels.

BookProof.NavierStokesFlow.FockLagrangian.fockR_total_level {r : ℝ} (hr : r ≠ 0) : fockR {x | momFock.total x = r} = 0

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

Preamble

-- Generated from ChapterNavierStokesFockParcels.lean — theorem BookProof.NavierStokesFlow.FockLagrangian.fockR_total_level
import Mathlib
import Definitions.Def_ChapterNavierStokesFockParcels
import Definitions.Def_ChapterNavierStokesThreeComponent
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesFockLagrangian
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.fockR_total_level {r : ℝ} (hr : r ≠ 0) :
    fockR {x | momFock.total x = r} = 0 := by sorry

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