
theorem FourDivPower: :: NEWTON05:84 for squares
  for n being even Nat, k being Nat st k > 1 holds
    4 divides n |^ k
  proof
    let n be even Nat,
        k be Nat;
    assume k > 1; then
    1 + 1 <= k by NAT_1:13; then
A2: n |^ 2 divides n |^ k by NEWTON:89;
    4 divides (n |^ 2) by NEWTON05:84;
    hence thesis by A2,INT_2:9;
  end;
