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`BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_surjective` (t : ℝ) : Function.Surjective (T.stoneU t)

Proved
BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_surjective

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStoneUnitary.

BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_surjective (t : ℝ) : Function.Surjective (T.stoneU t)

Formalization note: Lean 4 identifier BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_surjective.

Preamble
-- Generated from ChapterStoneUnitary.lean — theorem BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_surjective
import Mathlib
import Definitions.Def_ChapterStoneUnitary
import Definitions.Def_ChapterStoneResolvent
import Definitions.Def_ChapterSirkTrotterKato
open BookProof.ChapterStoneResolvent
open BookProof.ChapterStoneResolvent


open scoped InnerProductSpace
open Filter Topology NormedSpace


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



variable (T : UnboundedSelfAdjoint H)
Formal statement
theorem BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_surjective (t : ℝ) : Function.Surjective (T.stoneU t) := by sorry

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