`BookProof.NavierStokesFlow.FockLagrangian.momFock_no_eigenvector` {lam : ℂ} (hlam : lam ≠ 0) (v : momFock.core) (hv : ((momFock.data.hFull v : momFock.core) : Lp ℂ 2 fockR) = lam

Proved

BookProof.NavierStokesFlow.FockLagrangian.momFock_no_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_no_eigenvector {lam : ℂ} (hlam : lam ≠ 0) (v : momFock.core) (hv : ((momFock.data.hFull v : momFock.core) : Lp ℂ 2 fockR) = lam • ((v : Lp ℂ 2 fockR))) : ((v : Lp ℂ 2 fockR)) = 0

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

Preamble

-- Generated from ChapterNavierStokesFockParcels.lean — theorem BookProof.NavierStokesFlow.FockLagrangian.momFock_no_eigenvector
import Mathlib
import Definitions.Def_ChapterNavierStokesFockParcels
import Definitions.Def_ChapterNavierStokesFlow
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.momFock_no_eigenvector {lam : ℂ} (hlam : lam ≠ 0) (v : momFock.core)
    (hv : ((momFock.data.hFull v : momFock.core) : Lp ℂ 2 fockR)
      = lam • ((v : Lp ℂ 2 fockR))) :
    ((v : Lp ℂ 2 fockR)) = 0 := by sorry

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