putnam-v1 / putnam-1964-b3

putnam-1964-b3

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1964-b3

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-1964-b3.lean

import Mathlib

open Set Function Filter Topology

theorem putnam_1964_b3 (f : ℝ → ℝ)
(hf : Continuous f ∧ ∀ α > 0, Tendsto (fun n : ℕ ↦ f (n * α)) atTop (𝓝 0))
: (Tendsto f atTop (𝓝 0)) := by
  sorry

Runs (0)

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