The Lean 4 theorem `velIdx_apply` in the `ChapterNavierStokesDifferentialL2` chapter of the timepiece formalization

Proved

BookProof.NavierStokesFlow.DifferentialL2.velIdx_apply

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

timepiece

The Lean 4 theorem velIdx_apply in the ChapterNavierStokesDifferentialL2 chapter of the timepiece formalization.

Preamble

-- Generated from ChapterNavierStokesDifferentialL2.lean — theorem BookProof.NavierStokesFlow.DifferentialL2.velIdx_apply
import Mathlib
import Definitions.Def_ChapterNavierStokesDifferentialL2
open BookProof.NavierStokesFlow.DifferentialL2



open MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LpNat BookProof.NavierStokesFlow.IkebeKato
open BookProof.FarisLavine
open BookProof.NavierStokesFlow.ThreeComponent BookProof.NavierStokesFlow.CanonicalVector
open BookProof.NavierStokesFlow.LagrangianEsa

noncomputable section

Formal statement

theorem BookProof.NavierStokesFlow.DifferentialL2.velIdx_apply (b : Vel) (i : Fin 3) : velIdx b i = b i := by sorry

Source

https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesDifferentialL2.lean

View graph