reserve a,b,i,k,m,n for Nat;
reserve s,z for non zero Nat;
reserve r for Real;
reserve c for Complex;
reserve e1,e2,e3,e4,e5 for ExtReal;

theorem
  for a,b,c being Prime st a,b,c are_mutually_distinct
  holds a,b,c are_mutually_coprime by INT_2:30;
