minif2f-v1 / amc12-2000-p11

amc12-2000-p11

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12-2000-p11

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/amc12-2000-p11.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12_2000_p11 (a b : ℝ) (h₀ : a ≠ 0 ∧ b ≠ 0) (h₁ : a * b = a - b) :
    a / b + b / a - a * b = 2 := by
  sorry

Runs (0)

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