The Lean 4 theorem `comp` in the `ChapterHermiteBandCalculus` chapter of the timepiece formalization
ProvedBookProof.HermiteBand.IsBand1.comptimepiece
The Lean 4 theorem comp in the ChapterHermiteBandCalculus chapter of the timepiece formalization.
Preamble
import Definitions.Def_ChapterFullQuadraticEsa
import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterNavierStokesDifferentialL2
-- Generated from ChapterHermiteBandCalculus.lean — theorem BookProof.HermiteBand.IsBand1.comp
import Mathlib
import Definitions.Def_ChapterHermiteBandCalculus
import Definitions.Def_ChapterHermiteBandCalculus
open BookProof.HermiteBand
noncomputable section
open MvPolynomial BookProof.HermiteProductCore BookProof.HermiteProductBasis
variable {d : ℕ}
open BookProof.NavierStokesFlow.DifferentialL2 BookProof.FullQuadraticFormal statement
theorem BookProof.HermiteBand.IsBand1.comp {T U : MvPolynomial (Fin d) ℂ →ₗ[ℂ] MvPolynomial (Fin d) ℂ}
(hU : IsBand1 U) (hT : IsBand1 T) : IsBand2 (U ∘ₗ T) := by sorrySource