 reserve n,i for Nat;
 reserve p for Prime;

theorem SqCon1:
  for n,k being non zero Nat st
    k <> 1 & k ^2 divides n holds
   n is square-containing
  proof
    let n, k be non zero Nat;
    assume
A1: k <> 1 & k ^2 divides n; then
    k |^ 2 divides n by NEWTON:81;
    hence thesis by A1,MOEBIUS1:20;
  end;
