theorem Th59:
  for a, b being Point of TOP-REAL n, P, Q being Path of a,b holds
  P, Q are_homotopic
proof
  let a, b be Point of TOP-REAL n, P, Q be Path of a,b;
  take F = RealHomotopy(P,Q);
  thus F is continuous by Lm5;
  thus thesis by Lm6;
end;
