
theorem
  for n being Nat st n > 0 holds Catalan (n+1) < 4 * Catalan (n)
proof
  let n be Nat;
  assume
A1: n > 0;
  then Catalan (n + 1) = 2 * (2 - (3 / (n + 1))) * Catalan (n) by Th19;
  hence thesis by A1,Th7,XREAL_1:68;
end;
