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The Lean 4 theorem `qgScalaron_stone_flow` in the `ChapterScalaronCoreEsa` chapter of the timepiece formalization

Proved
BookProof.ScalaronEsa.qgScalaron_stone_flow

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

timepiece

The Lean 4 theorem qgScalaron_stone_flow in the ChapterScalaronCoreEsa chapter of the timepiece formalization.

Preamble
-- Generated from ChapterScalaronCoreEsa.lean — theorem BookProof.ScalaronEsa.qgScalaron_stone_flow
import Mathlib
import Definitions.Def_ChapterScalaronCoreEsa
import Definitions.Def_ChapterMajoranaClifford
import Definitions.Def_ChapterMajoranaClifford
open BookProof.MajoranaClifford
open BookProof.ScalaronEsa


open Filter Topology MeasureTheory SchwartzMap


open BookProof.StrichartzWave BookProof.FarisLavine BookProof.Starobinsky
open BookProof.QuantumGravityDensitized BookProof.StoneBridge BookProof.NavierStokesFlow
open BookProof.ChapterStoneResolvent BookProof.EsaClosure

noncomputable section

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] [FiniteDimensional ℝ E]
  [MeasurableSpace E] [BorelSpace E]

variable (a b : ℕ → ℝ) (M alpha : ℝ) (Rc phi : ℕ → ℝ)
Formal statement
theorem BookProof.ScalaronEsa.qgScalaron_stone_flow :
    ∃ (T : UnboundedSelfAdjoint L2Nat) (U : ℝ → (L2Nat →L[ℂ] L2Nat)),
      IsSelfAdjointExtension (qgScalaronModeHamiltonian a b M alpha Rc phi) T.op ∧
        IsStoneFlow T U := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterScalaronCoreEsa.lean

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