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

Proved

BookProof.NavierStokesFlow.DifferentialL2.embedCore_coe

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

timepiece

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

Preamble

-- Generated from ChapterNavierStokesDifferentialL2.lean — theorem BookProof.NavierStokesFlow.DifferentialL2.embedCore_coe
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.embedCore_coe (x : lpFiniteModes Vel) :
    ((embedCore x : polyGaussCore (d := 3)) : L2d 3) = velUnitary ((x : L2I Vel)) := by sorry

Source

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

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