theorem
  for X0, X1 being non empty SubSpace of X st X0 misses X1 holds (modid(
  X,X0))|X1 is continuous Function of X1,X modified_with_respect_to X0
proof
  let X0, X1 be non empty SubSpace of X;
  assume X0 misses X1;
  then
  for x1 being Point of X1 holds ((modid(X,X0))|X1) is_continuous_at x1 by
Th106;
  hence thesis by Th44;
end;
