Prove2Me

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

Proved
BookProof.ScalaronEsa.scalaronFullPotential_ge

by leonardopedro · Sep 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

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

Preamble
-- Generated from ChapterScalaronCoreEsa.lean — theorem BookProof.ScalaronEsa.scalaronFullPotential_ge
import Mathlib
import Definitions.Def_ChapterScalaronCoreEsa
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]

omit [FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E] in
Formal statement
theorem BookProof.ScalaronEsa.scalaronFullPotential_ge {M alpha : ℝ} (halpha : 0 < alpha) (eRc ephi : E) (x : E) :
    -(M ^ 4 / (16 * alpha)) ≤ scalaronFullPotential M alpha eRc ephi x := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterScalaronCoreEsa.lean

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