The Lean 4 theorem `ymGhostHam_add_bounded_coupling_esa` in the `ChapterYangMillsGhostSector` chapter of the timepiece formalization
ProvedBookProof.YangMillsGhost.ymGhostHam_add_bounded_coupling_esatimepiece
The Lean 4 theorem ymGhostHam_add_bounded_coupling_esa 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_add_bounded_coupling_esa
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_add_bounded_coupling_esa (ω : Fin K → ℝ)
(B : GhostSpace K →L[ℂ] GhostSpace K)
(hB : ∀ x y : GhostSpace K, (inner ℂ (B x) y : ℂ) = inner ℂ x (B y)) :
EssentiallySelfAdjointOn (ghostCore K)
(ymGhostHam 0 ω + (B.toLinearMap ∘ₗ (ghostCore K).subtype)) := by sorrySource