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