Prove2Me

(w : L2I Vel) (hw : ∀ β : Vel, (inner ℂ ((coreState β : lpFiniteModes Vel) : L2I Vel) w : ℂ) = 0) : w = 0

Proved
BookProof.NavierStokesFlow.LagrangianCanonical.coreState_total

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.LagrangianCanonical.coreState_total (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble
-- Generated from ChapterNavierStokesLagrangianCanonical.lean — theorem BookProof.NavierStokesFlow.LagrangianCanonical.coreState_total
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianCanonical
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LagrangianCanonical
















open scoped ENNReal



open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato  BookProof.NavierStokesFlow.LagrangianKatoRellich
open BookProof.NavierStokesFlow.CanonicalVector BookProof.NavierStokesFlow.ThreeComponent














variable (nu : ℝ)
Formal statement
theorem BookProof.NavierStokesFlow.LagrangianCanonical.coreState_total (w : L2I Vel)
    (hw : ∀ β : Vel, (inner ℂ ((coreState β : lpFiniteModes Vel) : L2I Vel) w : ℂ) = 0) :
    w = 0 := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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