The Lean 4 theorem `smul` in the `ChapterHermiteBandCalculus` chapter of the timepiece formalization
ProvedBookProof.HermiteBand.IsBand2.smultimepiece
The Lean 4 theorem smul 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.IsBand2.smul
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.IsBand2.smul {T : MvPolynomial (Fin d) ℂ →ₗ[ℂ] MvPolynomial (Fin d) ℂ} (c : ℂ)
(hT : IsBand2 T) : IsBand2 (c • T) := by sorrySource