putnam-v1 / putnam-1962-a4

putnam-1962-a4

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1962-a4

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/putnam-1962-a4.lean

import Mathlib

theorem putnam_1962_a4 (f : ℝ → ℝ)
(a b : ℝ)
(hdiff : Differentiable ℝ f ∧ (Differentiable ℝ (deriv f)))
(hfabs : ∀ x ∈ Set.Icc a b, |f x| ≤ 1)
(hfppabs : ∀ x ∈ Set.Icc a b, |(iteratedDeriv 2 f) x| ≤ 1)
(hlen2 : b - a ≥ 2)
: ∀ x ∈ Set.Icc a b, |(iteratedDeriv 1 f) x| ≤ 2 := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.