The Lean 4 theorem `starobinskyV_lt_shelf_bounded` in the `ChapterScalaronEdge` chapter of the timepiece formalization
ProvedBookProof.ScalaronEdge.starobinskyV_lt_shelf_boundedtimepiece
The Lean 4 theorem starobinskyV_lt_shelf_bounded in the ChapterScalaronEdge chapter of the timepiece formalization.
Preamble
-- Generated from ChapterScalaronEdge.lean — theorem BookProof.ScalaronEdge.starobinskyV_lt_shelf_bounded import Mathlib import Definitions.Def_ChapterScalaronEdge open BookProof.ScalaronEdge open Complex Real MeasureTheory Function SchwartzMap ComplexOrder open BookProof.Starobinsky open BookProof.ScalaronWallEsa open BookProof.ScalaronEsa open BookProof.FarisLavine open BookProof.WallEsaSemibounded open BookProof.FriedrichsExtension open BookProof.FriedrichsFormGap open BookProof.YangMillsFriedrichs open BookProof.HashimotoShiftInvert variable (M alpha : ℝ)
Formal statement
theorem BookProof.ScalaronEdge.starobinskyV_lt_shelf_bounded (hM : 0 < M) (halpha : 0 < alpha) (c : ℝ) (hc : 0 < c)
(hcs : c < edgeShelf M alpha) :
∃ A B : ℝ, 0 < A ∧ 0 < B ∧
∀ x : ℝ, scalV M alpha x < c → x ∈ Set.Icc (-A) B := by sorrySource