imo-v1 / imo2020p2

imo2020p2

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal imo2020p2

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/imo2020p2.lean

import Mathlib

theorem imo2020p2 {a b c d : ℝ} (hd0 : 0 < d) (hdc : d ≤ c) (hcb : c ≤ b) (hba : b ≤ a)
    (h1 : a + b + c + d = 1) : (a + 2 * b + 3 * c + 4 * d) * a ^ a * b ^ b * c ^ c * d ^ d < 1 := by
  sorry

Runs (0)

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