`BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_mem_unitary` (t : ℝ) : T.stoneU t ∈ unitary (H →L[ℂ] H)

Proved

BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_mem_unitary

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStoneUnitary.

BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_mem_unitary (t : ℝ) : T.stoneU t ∈ unitary (H →L[ℂ] H)

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

Preamble

-- Generated from ChapterStoneUnitary.lean — theorem BookProof.ChapterStoneResolvent.UnboundedSelfAdjoint.stoneU_mem_unitary
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_mem_unitary (t : ℝ) : T.stoneU t ∈ unitary (H →L[ℂ] H) := by sorry

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