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The Lean 4 theorem `ymGhostHam_essentiallySelfAdjointOn_core` in the `ChapterYangMillsGhostSector` chapter of the timepiece formalization

Proved
BookProof.YangMillsGhost.ymGhostHam_essentiallySelfAdjointOn_core

by leonardopedro · Sep 18, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem ymGhostHam_essentiallySelfAdjointOn_core in the ChapterYangMillsGhostSector chapter of the timepiece formalization.

Preamble
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterSirkTrotterKato
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterYangMillsAbelianEsa
import Definitions.Def_ChapterYangMillsHermite
-- Generated from ChapterYangMillsGhostSector.lean — theorem BookProof.YangMillsGhost.ymGhostHam_essentiallySelfAdjointOn_core
import Mathlib
import Definitions.Def_ChapterYangMillsGhostSector
import Definitions.Def_ChapterYangMillsGhostSector
open BookProof.YangMillsGhost














noncomputable section

open BookProof.HermiteProductCore BookProof.FarisLavine BookProof.DirectSumEsa
open BookProof.YangMillsHermite BookProof.YangMillsAbelianEsa
open BookProof.StoneBridge BookProof.EsaClosure
open BookProof.ChapterStoneResolvent

variable {K : ℕ}
Formal statement
theorem BookProof.YangMillsGhost.ymGhostHam_essentiallySelfAdjointOn_core (ω : Fin K → ℝ) :
    EssentiallySelfAdjointOn (ghostCore K) (ymGhostHam 0 ω) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterYangMillsGhostSector.lean

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