putnam-v1 / putnam-1969-a6

putnam-1969-a6

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1969-a6

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-1969-a6.lean

import Mathlib

open Matrix Filter Topology Set Nat

theorem putnam_1969_a6 (x : ℕ → ℝ)
(y : ℕ → ℝ)
(hy1 : ∀ n ≥ 2, y n = x (n-1) + 2 * (x n))
(hy2 : ∃ c : ℝ, Tendsto y atTop (𝓝 c))
: ∃ C : ℝ, Tendsto x atTop (𝓝 C) := by
  sorry

Runs (0)

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