The Lean 4 theorem `qg3D_stone_flow` in the `ChapterQg3DGaugeEsa` chapter of the timepiece formalization
ProvedBookProof.Qg3DGaugeEsa.qg3D_stone_flowtimepiece
The Lean 4 theorem qg3D_stone_flow in the ChapterQg3DGaugeEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQg3DGaugeEsa.lean — theorem BookProof.Qg3DGaugeEsa.qg3D_stone_flow import Definitions.Def_ChapterFarisLavine import Definitions.Def_ChapterNavierStokesDifferentialL2 import Definitions.Def_ChapterHermiteRelativeBound import Definitions.Def_ChapterFullQuadraticEsa import Definitions.Def_ChapterSirkTrotterKato import Mathlib import Definitions.Def_ChapterQg3DGaugeEsa import Definitions.Def_ChapterEsaClosureCore import Definitions.Def_ChapterHermiteProductCore import Definitions.Def_ChapterQuantumGravity3DGauge import Definitions.Def_ChapterStoneBridge import Definitions.Def_ChapterStoneResolvent import Definitions.Def_ChapterYangMillsHermite open BookProof.EsaClosure open BookProof.HermiteProductCore open BookProof.QuantumGravity3DGauge open BookProof.StoneBridge open BookProof.YangMillsHermite open BookProof.Qg3DGaugeEsa open Finset MvPolynomial open BookProof.HermiteProductCore BookProof.YangMillsHermite open BookProof.FarisLavine open BookProof.NavierStokesFlow.DifferentialL2 open BookProof.HermiteRelative open BookProof.FullQuadratic open BookProof.QuantumGravity3DGauge open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent noncomputable section
Formal statement
theorem BookProof.Qg3DGaugeEsa.qg3D_stone_flow :
∃ (T : UnboundedSelfAdjoint (L2d 84)) (U : ℝ → (L2d 84 →L[ℂ] L2d 84)),
IsSelfAdjointExtension (qg3DHamiltonian (coreRepPoly 84)) T.op ∧ IsStoneFlow T U := by sorrySource