minif2f-v1 / aime-1988-p4

aime-1988-p4

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal aime-1988-p4

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/aime-1988-p4.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aime_1988_p4 (n : ℕ) (a : ℕ → ℝ) (h₀ : ∀ n, abs (a n) < 1)
  (h₁ : (∑ k ∈ Finset.range n, abs (a k)) = 19 + abs (∑ k ∈ Finset.range n, a k)) : 20 ≤ n := by
  sorry

Runs (0)

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