(err : ℕ → ℝ) (C Dmin h nv : ℝ) (hh : 0 < h) (hnn : ∀ m, 0 ≤ err m) (hle : ∀ m, err m ≤ sirkBound C Dmin h nv m) : Tendsto err atTop (𝓝 0)
ProvedBookProof.ChapterSirkEndToEnd.tendsto_zero_of_le_sirkBoundsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkEndToEnd.tendsto_zero_of_le_sirkBound (module BookProof.ChapterSirkEndToEnd), source chapter BookProof/ChapterChapterSirkEndToEnd.lean.
Preamble
-- Generated from ChapterSirkEndToEnd.lean — theorem BookProof.ChapterSirkEndToEnd.tendsto_zero_of_le_sirkBound
import Mathlib
import Definitions.Def_ChapterSirkEndToEnd
open BookProof.ChapterSirkEndToEnd
noncomputable section
open Filter Topology
open BookProof.ChapterH4 BookProof.ChapterH6 BookProof.ChapterH8 BookProof.ChapterH9
variable {E F : Type*}
[NormedAddCommGroup E] [InnerProductSpace ℂ E] [CompleteSpace E]
[NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]Formal statement
theorem BookProof.ChapterSirkEndToEnd.tendsto_zero_of_le_sirkBound (err : ℕ → ℝ) (C Dmin h nv : ℝ) (hh : 0 < h)
(hnn : ∀ m, 0 ≤ err m) (hle : ∀ m, err m ≤ sirkBound C Dmin h nv m) :
Tendsto err atTop (𝓝 0) := by sorrySource