putnam-v1 / putnam-1967-b3

putnam-1967-b3

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1967-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-1967-b3.lean

import Mathlib

open Nat Topology Filter

theorem putnam_1967_b3 (f g : ℝ → ℝ)
(fgcont : Continuous f ∧ Continuous g)
(fgperiod : Function.Periodic f 1 ∧ Function.Periodic g 1)
: Tendsto (fun n : ℤ => ∫ x in Set.Ioo 0 1, f x * g (n * x)) atTop (𝓝 ((∫ x in Set.Ioo 0 1, f x) * (∫ x in Set.Ioo 0 1, g x))) := by
  sorry

Runs (0)

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