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The Lean 4 theorem `qgOuterHam_stone_flow` in the `ChapterQgOuterFockEsa` chapter of the timepiece formalization

Proved
BookProof.QgOuterFock.qgOuterHam_stone_flow

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem qgOuterHam_stone_flow in the ChapterQgOuterFockEsa chapter of the timepiece formalization.

Preamble
-- Generated from ChapterQgOuterFockEsa.lean — theorem BookProof.QgOuterFock.qgOuterHam_stone_flow
import Definitions.Def_ChapterYangMillsHermite
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesDifferentialL2
import Definitions.Def_ChapterHermiteRelativeBound
import Definitions.Def_ChapterFullQuadraticEsa
import Definitions.Def_ChapterQuantumGravity3DGauge
import Definitions.Def_ChapterQg3DGaugeEsa
import Definitions.Def_ChapterQgHermiteOscillatorEsa
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterQgOuterFockEsa
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterStoneResolvent
open BookProof.EsaClosure
open BookProof.HermiteProductCore
open BookProof.StoneBridge
open BookProof.QgOuterFock

variable {D : ℕ}



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.Qg3DGaugeEsa
open BookProof.QgHermiteOscillator
open BookProof.DirectSumEsa
open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent

noncomputable section
Formal statement
theorem BookProof.QgOuterFock.qgOuterHam_stone_flow :
    ∃ (T : UnboundedSelfAdjoint qgOuterFock) (U : ℝ → (qgOuterFock →L[ℂ] qgOuterFock)),
      IsSelfAdjointExtension qgOuterHam T.op ∧ IsStoneFlow T U := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterQgOuterFockEsa.lean

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