minif2f-v1 / algebra-apb4leq8ta4pb4

algebra-apb4leq8ta4pb4

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-apb4leq8ta4pb4

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/algebra-apb4leq8ta4pb4.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_apb4leq8ta4pb4 (a b : ℝ) (h₀ : 0 < a ∧ 0 < b) : (a + b) ^ 4 ≤ 8 * (a ^ 4 + b ^ 4) := by
  sorry

Runs (0)

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