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 n being even Nat st n > 6
  ex p,q being Prime st n-p,n-q are_coprime & p = 3 & q = 5
  proof
    let n be even Nat such that
A1: n > 6;
    3 = 2*1+1;
    then reconsider p = 3 as odd Prime by PEPIN:41;
    5 = 2*2+1;
    then reconsider q = 5 as odd Prime by PEPIN:59;
    take p,q;
A2: n-p-(n-q) = 2;
    6-3 < n-3 & 6-5 < n-5 by A1,XREAL_1:14;
    hence thesis by A2,Th31;
  end;
