Prove2Me

`BookProof.WeakSecondDeriv.exists_supp` {g : ℝ → ℝ} (h : IsTestFun g) : ∃ R : ℝ, 0 ≤ R ∧ tsupport g ⊆ Icc (-R) R

Proved
BookProof.WeakSecondDeriv.exists_supp

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeakSecondDerivative.

BookProof.WeakSecondDeriv.exists_supp {g : ℝ → ℝ} (h : IsTestFun g) : ∃ R : ℝ, 0 ≤ R ∧ tsupport g ⊆ Icc (-R) R

Formalization note: Lean 4 identifier BookProof.WeakSecondDeriv.exists_supp.

Preamble
-- Generated from ChapterWeakSecondDerivative.lean — theorem BookProof.WeakSecondDeriv.exists_supp
import Mathlib
import Definitions.Def_ChapterWeakSecondDerivative
open BookProof.WeakSecondDeriv



open MeasureTheory Filter Topology intervalIntegral Set

noncomputable section
Formal statement
theorem BookProof.WeakSecondDeriv.exists_supp {g : ℝ → ℝ} (h : IsTestFun g) :
    ∃ R : ℝ, 0 ≤ R ∧ tsupport g ⊆ Icc (-R) R := by sorry

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