reserve x,x1,x2,y,z,z1 for set;
reserve s1,r,r1,r2 for Real;
reserve s,w1,w2 for Real;
reserve n,i for Element of NAT;
reserve X for non empty TopSpace;
reserve p,p1,p2,p3 for Point of TOP-REAL n;
reserve P for Subset of TOP-REAL n;

theorem
  for p being Element of TOP-REAL 2 holds p/.1=proj1.p & p/.2= proj2.p
proof
  let p be Element of TOP-REAL 2;
A1: proj2.p=p`2 by PSCOMP_1:def 6
    .=p/.2 by Th29;
  proj1.p=p`1 by PSCOMP_1:def 5
    .=p/.1 by Th29;
  hence thesis by A1;
end;
