The Lean 4 theorem `coreOpT_coe` in the `ChapterShiftedHermiteCore` chapter of the timepiece formalization
ProvedBookProof.ShiftedHermiteCore.coreOpT_coetimepiece
The Lean 4 theorem coreOpT_coe in the ChapterShiftedHermiteCore chapter of the timepiece formalization.
Preamble
import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterHyperbolicQuadraticEsa
import Definitions.Def_ChapterNavierStokesDifferentialL2
-- Generated from ChapterShiftedHermiteCore.lean — theorem BookProof.ShiftedHermiteCore.coreOpT_coe
import Mathlib
import Definitions.Def_ChapterShiftedHermiteCore
import Definitions.Def_ChapterNavierStokesDiffFarisLavine
import Definitions.Def_ChapterShiftedHermiteCore
open BookProof.ShiftedHermiteCore
open MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.HyperbolicQuadratic
noncomputable section
variable {d : ℕ}Formal statement
theorem BookProof.ShiftedHermiteCore.coreOpT_coe (a k : Vd d) (T : MvPolynomial (Fin d) ℂ →ₗ[ℂ] MvPolynomial (Fin d) ℂ)
(p : MvPolynomial (Fin d) ℂ) :
((coreOpT a k T (coreEquivT a k p) : polyGaussCoreT a k) : L2d d) = pgLpT a k (T p) := by sorrySource