minif2f-v1 / aimei-2000-p7

aimei-2000-p7

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal aimei-2000-p7

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/aimei-2000-p7.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aimei_2000_p7 (x y z : ℝ) (m : ℚ) (h₀ : 0 < x ∧ 0 < y ∧ 0 < z) (h₁ : x * y * z = 1)
  (h₂ : x + 1 / z = 5) (h₃ : y + 1 / x = 29) (h₄ : z + 1 / y = m) (h₅ : 0 < m) :
  ↑m.den + m.num = 5 := by
  sorry

Runs (0)

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