reserve p,q,r for FinSequence;
reserve u,v,x,y,y1,y2,z for object, A,D,X,Y for set;
reserve i,j,k,l,m,n for Nat;
reserve J for Nat;

theorem
  for t be FinSequence of INT holds t is FinSequence of REAL
proof
  let t be FinSequence of INT;
  now
    let i be Nat;
    assume i in dom t;
    then
A1: t.i in rng t by FUNCT_1:def 3;
    t.i in INT by A1;
    hence t.i in REAL by NUMBERS:15;
  end;
  hence thesis by FINSEQ_2:12;
end;
