(hres : StrongResolventConvergence T S) (v : H) {T₀ : ℝ} (hT₀ : 0 ≤ T₀) : TendstoUniformlyOn (fun n t => (S n).stoneU t v) (fun t => T.stoneU t v) atTop (Set.Icc (-T₀) T₀)

-- Generated from ChapterSirkTrotterKato.lean — theorem BookProof.ChapterSirkTrotterKato.trotterKato_tendstoUniformlyOn
import Mathlib
import Definitions.Def_ChapterSirkTrotterKato
open BookProof.ChapterSirkTrotterKato










noncomputable section

open Filter Topology Asymptotics
open scoped InnerProductSpace


open BookProof.ChapterStoneResolvent

variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H]













variable (T : UnboundedSelfAdjoint H) (S : ℕ → UnboundedSelfAdjoint H)

theorem BookProof.ChapterSirkTrotterKato.trotterKato_tendstoUniformlyOn (hres : StrongResolventConvergence T S) (v : H)
    {T₀ : ℝ} (hT₀ : 0 ≤ T₀) :
    TendstoUniformlyOn (fun n t => (S n).stoneU t v) (fun t => T.stoneU t v) atTop
      (Set.Icc (-T₀) T₀) := by sorry