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The Lean 4 theorem `exists_stone_flow_of_selfAdjointExtension` in the `ChapterStoneBridge` chapter of the timepiece formalization

Proved
BookProof.StoneBridge.exists_stone_flow_of_selfAdjointExtension

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem exists_stone_flow_of_selfAdjointExtension in the ChapterStoneBridge chapter of the timepiece formalization.

Preamble
-- Generated from ChapterStoneBridge.lean — theorem BookProof.StoneBridge.exists_stone_flow_of_selfAdjointExtension
import Mathlib
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterSirkBandLedger
open BookProof.StoneBridge






open Filter Topology
open scoped InnerProductSpace


open BookProof.FarisLavine BookProof.EsaClosure BookProof.YangMillsFriedrichs
open BookProof.ChapterUnitaryTransport BookProof.ChapterStoneResolvent

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]










variable [CompleteSpace F]
Formal statement
theorem BookProof.StoneBridge.exists_stone_flow_of_selfAdjointExtension {D Dom : Submodule ℂ F} {Hc : D →ₗ[ℂ] F}
    {A : Dom →ₗ[ℂ] F} (hdense : Dense ((D : Submodule ℂ F) : Set F))
    (h : IsSelfAdjointExtension Hc A) :
    ∃ (T : UnboundedSelfAdjoint F) (U : ℝ → (F →L[ℂ] F)),
      T.domain = Dom ∧ HEq T.op A ∧ IsStoneFlow T U := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterStoneBridge.lean

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