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`BookProof.ScalaronDensitized.physConf_esa` : EssentiallySelfAdjointOn (physConfCore M alpha) ((physConfCore M alpha).subtype.comp (physConfOp M alpha))

Proved
BookProof.ScalaronDensitized.physConf_esa

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterScalaronDensitizedTransfer.

BookProof.ScalaronDensitized.physConf_esa : EssentiallySelfAdjointOn (physConfCore M alpha) ((physConfCore M alpha).subtype.comp (physConfOp M alpha))

Formalization note: Lean 4 identifier BookProof.ScalaronDensitized.physConf_esa.

Preamble
-- Generated from ChapterScalaronDensitizedTransfer.lean — theorem BookProof.ScalaronDensitized.physConf_esa
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterQuantumGravityDensitized
import Definitions.Def_ChapterQuantumGravityHalfDensity
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesFockContinuum
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterSirkTrotterKato
import Definitions.Def_ChapterEsaClosureCore
import Mathlib
import Definitions.Def_ChapterScalaronDensitizedTransfer
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesFlow
open BookProof.ScalaronDensitized



open MeasureTheory Set Filter Topology
open BookProof.Starobinsky BookProof.QuantumGravityDensitized
open BookProof.QuantumGravityHalfDensity
open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.FockContinuum
open BookProof.FarisLavine BookProof.StoneBridge
open BookProof.ChapterStoneResolvent BookProof.EsaClosure

noncomputable section

variable (M alpha : ℝ)
Formal statement
theorem BookProof.ScalaronDensitized.physConf_esa :
    EssentiallySelfAdjointOn (physConfCore M alpha)
      ((physConfCore M alpha).subtype.comp (physConfOp M alpha)) := by sorry

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