minif2f-v1 / algebra-sqineq-2at2pclta2c2p41pc

algebra-sqineq-2at2pclta2c2p41pc

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-sqineq-2at2pclta2c2p41pc

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-sqineq-2at2pclta2c2p41pc.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_sqineq_2at2pclta2c2p41pc (a c : ℝ) :
  2 * a * (2 + c) ≤ a ^ 2 + c ^ 2 + 4 * (1 + c) := by
  sorry

Runs (0)

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