The Lean 4 theorem `starobinskyWall_stone_flow` in the `ChapterScalaronWallEsa` chapter of the timepiece formalization
ProvedBookProof.ScalaronWallEsa.starobinskyWall_stone_flowtimepiece
The Lean 4 theorem starobinskyWall_stone_flow in the ChapterScalaronWallEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterScalaronWallEsa.lean — theorem BookProof.ScalaronWallEsa.starobinskyWall_stone_flow import Mathlib import Definitions.Def_ChapterScalaronWallEsa import Theorems.Thm_BookProof_ScalaronEsa_contDiff_starobinskyV open BookProof.ScalaronWallEsa open MeasureTheory SchwartzMap Set open BookProof.FarisLavine BookProof.StrichartzWave BookProof.ScalaronEsa open BookProof.Starobinsky BookProof.StoneBridge BookProof.EsaClosure open BookProof.ChapterStoneResolvent open BookProof.WeakSecondDeriv noncomputable section
Formal statement
theorem BookProof.ScalaronWallEsa.starobinskyWall_stone_flow {M alpha : ℝ} (halpha : 0 < alpha) :
∃ (T : UnboundedSelfAdjoint (Lp ℂ 2 (volume : Measure ℝ)))
(U : ℝ → (Lp ℂ 2 (volume : Measure ℝ) →L[ℂ] Lp ℂ 2 (volume : Measure ℝ))),
IsSelfAdjointExtension
(wallHam (fun phi : ℝ => starobinskyV M alpha phi)
(contDiff_starobinskyV M alpha)) T.op ∧
IsStoneFlow T U := by sorrySource