minif2f-v1 / amc12-2001-p9

amc12-2001-p9

open
difficulty 4
credited
Run this goal:./swarm/run.sh --goal amc12-2001-p9

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/amc12-2001-p9.lean
import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12_2001_p9 (f : ℝ → ℝ) (h₀ : ∀ x > 0, ∀ y > 0, f (x * y) = f x / y) (h₁ : f 500 = 3) :
    f 600 = 5 / 2 := by
  sorry

Runs (0)

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