minif2f-v1 / amc12a-2003-p1

amc12a-2003-p1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12a-2003-p1

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/amc12a-2003-p1.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12a_2003_p1 (u v : ℕ → ℕ) (h₀ : ∀ n, u n = 2 * n + 2) (h₁ : ∀ n, v n = 2 * n + 1) :
    ((∑ k ∈ Finset.range 2003, u k) - ∑ k ∈ Finset.range 2003, v k) = 2003 := by
  sorry

Runs (0)

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