The Lean 4 theorem `exists_stone_flow_of_esa` in the `ChapterStoneBridge` chapter of the timepiece formalization
ProvedBookProof.StoneBridge.exists_stone_flow_of_esatimepiece
The Lean 4 theorem exists_stone_flow_of_esa in the ChapterStoneBridge chapter of the timepiece formalization.
Preamble
-- Generated from ChapterStoneBridge.lean — theorem BookProof.StoneBridge.exists_stone_flow_of_esa
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_esa {D : Submodule ℂ F} (Hc : D →ₗ[ℂ] F)
(hdense : Dense ((D : Submodule ℂ F) : Set F)) (hsym : SymmetricOn D Hc)
(hesa : EssentiallySelfAdjointOn D Hc) :
∃ (T : UnboundedSelfAdjoint F) (U : ℝ → (F →L[ℂ] F)),
IsSelfAdjointExtension Hc T.op ∧ IsStoneFlow T U := by sorrySource