reserve T for TopStruct;
reserve GX for TopSpace;

theorem :: JGRAPH_3:12, AK, 20.02.2006
  for X being TopStruct,Y being non empty TopStruct, f being Function of
  X,Y, P being Subset of X holds f|P is Function of X|P,Y
proof
  let X be TopStruct,Y be non empty TopStruct,f be Function of X,Y, P be
  Subset of X;
  P = the carrier of (X|P) by Th8;
  hence thesis by FUNCT_2:32;
end;
