reserve x,y,y1,y2,z,a,b for object, X,Y,Z,V1,V2 for set,
  f,g,h,h9,f1,f2 for Function,
  i for Nat,
  P for Permutation of X,
  D,D1,D2,D3 for non empty set,
  d1 for Element of D1,
  d2 for Element of D2,
  d3 for Element of D3;

theorem
  Union ({} --> Y) = {} & meet ({} --> Y) = {}
proof
  union rng ({} --> Y) = {} by ZFMISC_1:2;
  hence thesis by CARD_3:def 4,SETFAM_1:def 1;
end;
