reserve X,Y,Z,X1,X2,Y1,Y2 for set, x,y,z,t,x1,x2 for object,
  f,g,h,f1,f2,g1,g2 for Function;
reserve C,D,E for non empty set;
reserve c for Element of C,
  d for Element of D;
reserve f for Function of [:C,D:],E;

theorem
  for A,B,C being non empty set, f being Function of A,Funcs(B,C)
  holds curry uncurry f = f
proof
  let A,B,C be non empty set, f be Function of A,Funcs(B,C);
  rng f c= Funcs(B,C);
  hence thesis by Th41;
end;
