The Lean 4 theorem `intertwined_mom` in the `ChapterNavierStokesDifferentialL2` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.DifferentialL2.intertwined_momtimepiece
The Lean 4 theorem intertwined_mom in the ChapterNavierStokesDifferentialL2 chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesDifferentialL2.lean — theorem BookProof.NavierStokesFlow.DifferentialL2.intertwined_mom 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 set_option maxHeartbeats 4000000 in -- The transport arguments unfold operators on a submodule of `L²(ℝ³)` through several -- linear equivalences, so the default heartbeat budget is not enough.
Formal statement
theorem BookProof.NavierStokesFlow.DifferentialL2.intertwined_mom (i : Fin 3) :
Intertwined (mom i) (((Real.sqrt 2 : ℝ) : ℂ) • momOp i) := by sorrySource