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