`BookProof.VielbeinFock.vielbeinManyPotential_esa` (M alpha : ℝ) (d : ℕ) (om : Fin d → ℝ) (n : ℕ) : EssentiallySelfAdjointOn (ccDomain (vielbeinSector d n)) (opCc (vielbeinManyPote

Proved

BookProof.VielbeinFock.vielbeinManyPotential_esa

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterVielbeinFiberFock.

BookProof.VielbeinFock.vielbeinManyPotential_esa (M alpha : ℝ) (d : ℕ) (om : Fin d → ℝ) (n : ℕ) : EssentiallySelfAdjointOn (ccDomain (vielbeinSector d n)) (opCc (vielbeinManyPotential M alpha d om n) (contDiff_vielbeinManyPotential M alpha d om n))

Formalization note: Lean 4 identifier BookProof.VielbeinFock.vielbeinManyPotential_esa.

Preamble

-- Generated from ChapterVielbeinFiberFock.lean — theorem BookProof.VielbeinFock.vielbeinManyPotential_esa
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterScalaronFockEsa
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterVielbeinFiberFock
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterScalaronCoreEsa
open BookProof.ScalaronEsa
open BookProof.VielbeinFock


open Filter Topology MeasureTheory


open BookProof.Starobinsky BookProof.ScalaronEsa BookProof.ScalaronFock
open BookProof.DirectSumEsa BookProof.StoneBridge BookProof.EsaClosure
open BookProof.FarisLavine BookProof.ChapterStoneResolvent

noncomputable section

Formal statement

theorem BookProof.VielbeinFock.vielbeinManyPotential_esa (M alpha : ℝ) (d : ℕ) (om : Fin d → ℝ) (n : ℕ) :
    EssentiallySelfAdjointOn (ccDomain (vielbeinSector d n))
      (opCc (vielbeinManyPotential M alpha d om n)
        (contDiff_vielbeinManyPotential M alpha d om n)) := by sorry

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