reserve n for Element of NAT,
  a, b for Real;

theorem Th2:
  for T being non empty convex SubSpace of TOP-REAL n, a, b being
  Point of T, P, Q being Path of a,b holds P, Q are_homotopic
proof
  let T be non empty convex SubSpace of TOP-REAL n, a, b be Point of T, P, Q
  be Path of a,b;
  take F = ConvexHomotopy(P,Q);
  thus F is continuous by Lm5;
  thus thesis by Lm6;
end;
