The Lean 4 theorem `smoothPotential_essentiallySelfAdjoint` in the `ChapterScalaronCoreEsa` chapter of the timepiece formalization
ProvedBookProof.ScalaronEsa.smoothPotential_essentiallySelfAdjointtimepiece
The Lean 4 theorem smoothPotential_essentiallySelfAdjoint in the ChapterScalaronCoreEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterScalaronCoreEsa.lean — theorem BookProof.ScalaronEsa.smoothPotential_essentiallySelfAdjoint
import Mathlib
import Definitions.Def_ChapterScalaronCoreEsa
open BookProof.ScalaronEsa
open Filter Topology MeasureTheory SchwartzMap
open BookProof.StrichartzWave BookProof.FarisLavine BookProof.Starobinsky
open BookProof.QuantumGravityDensitized BookProof.StoneBridge BookProof.NavierStokesFlow
open BookProof.ChapterStoneResolvent BookProof.EsaClosure
noncomputable section
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] [FiniteDimensional ℝ E]
[MeasurableSpace E] [BorelSpace E]Formal statement
theorem BookProof.ScalaronEsa.smoothPotential_essentiallySelfAdjoint (W : E → ℝ)
(hW : ContDiff ℝ ((⊤ : ℕ∞) : WithTop ℕ∞) W) :
EssentiallySelfAdjointOn (ccDomain E) (opCc W hW) := by sorrySource