Prove2Me

`BookProof.NavierStokesFlow.FockLagrangian.momFock_vacuum_eigenvector` : ((momFock.data.hFull ⟨vacState, vacState_mem_core⟩ : momFock.core) : Lp ℂ 2 fockR) = 0

Proved
BookProof.NavierStokesFlow.FockLagrangian.momFock_vacuum_eigenvector

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockParcels.

BookProof.NavierStokesFlow.FockLagrangian.momFock_vacuum_eigenvector : ((momFock.data.hFull ⟨vacState, vacState_mem_core⟩ : momFock.core) : Lp ℂ 2 fockR) = 0

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

Preamble
-- Generated from ChapterNavierStokesFockParcels.lean — theorem BookProof.NavierStokesFlow.FockLagrangian.momFock_vacuum_eigenvector
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
import Theorems.Thm_BookProof_NavierStokesFlow_FockLagrangian_vacState_mem_core
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_vacuum_eigenvector :
    ((momFock.data.hFull ⟨vacState, vacState_mem_core⟩ : momFock.core) : Lp ℂ 2 fockR) = 0 := by sorry

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