The Lean 4 theorem `nsDiffH_eq_coreOp` in the `ChapterNavierStokesDiffHashimoto` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.DiffHashimoto.nsDiffH_eq_coreOptimepiece
The Lean 4 theorem nsDiffH_eq_coreOp in the ChapterNavierStokesDiffHashimoto chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesDiffHashimoto.lean — theorem BookProof.NavierStokesFlow.DiffHashimoto.nsDiffH_eq_coreOp import Mathlib import Definitions.Def_ChapterNavierStokesDiffHashimoto open BookProof.NavierStokesFlow open BookProof.NavierStokesFlow.DiffHashimoto open Filter Topology open MvPolynomial open BookProof.FarisLavine BookProof.HashimotoShiftInvert BookProof.EsaClosure open BookProof.HermiteGalerkin open BookProof.HermiteProductCore BookProof.HermiteProductBasis open BookProof.HermiteRelative open BookProof.NavierStokesFlow.DifferentialL2 noncomputable section variable (A : Matrix (Fin 3) (Fin 3) ℝ) (c : Fin 3 → ℝ) set_option maxHeartbeats 4000000 in -- The core operators unfold through several linear equivalences on a submodule of `L²(ℝ³)`, -- so the default heartbeat budget is not enough.
Formal statement
theorem BookProof.NavierStokesFlow.DiffHashimoto.nsDiffH_eq_coreOp : coreOp (nsDiffPoly A c) = nsDiffH A c := by sorry
Source