reserve P,Q,X,Y,Z for set, p,x,x9,x1,x2,y,z for object;
reserve D for non empty set;
reserve A,B for non empty set;
reserve Y for non empty set,
  f for Function of X,Y,
  p for PartFunc of Y,Z,
  x for Element of X;

theorem Th107:
  X <> {} & rng f c= dom p implies (p/*f).x = p.(f.x)
proof
  assume that
A1: X <> {} and
A2: rng f c= dom p;
  p/*f = p*f by A2,Def11;
  hence thesis by A1,Th15;
end;
