The Lean 4 theorem `exists_stone_flow_of_positive` in the `ChapterStoneBridge` chapter of the timepiece formalization
ProvedBookProof.StoneBridge.exists_stone_flow_of_positivetimepiece
The Lean 4 theorem exists_stone_flow_of_positive in the ChapterStoneBridge chapter of the timepiece formalization.
Preamble
-- Generated from ChapterStoneBridge.lean — theorem BookProof.StoneBridge.exists_stone_flow_of_positive
import Mathlib
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
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_positive {D Dom : Submodule ℂ F} {Hc : D →ₗ[ℂ] F}
{A : Dom →ₗ[ℂ] F} (hdense : Dense ((D : Submodule ℂ F) : Set F))
(h : IsPositiveSelfAdjointExtension Hc A) :
∃ (T : UnboundedSelfAdjoint F) (U : ℝ → (F →L[ℂ] F)),
T.domain = Dom ∧ HEq T.op A ∧ IsStoneFlow T U := by sorrySource