reserve p,q,r for FinSequence;
reserve u,v,x,y,y1,y2,z for object, A,D,X,Y for set;
reserve i,j,k,l,m,n for Nat;
reserve J for Nat;
reserve n for Nat;
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 Th134:
  Union <*X,Y*> = X \/ Y & meet <*X,Y*> = X /\ Y
proof
  thus Union <*X,Y*> = union rng <*X,Y*>
    .= union {X,Y} by FINSEQ_2:127
    .= X \/ Y by ZFMISC_1:75;
  thus meet <*X,Y*> = meet {X,Y} by FINSEQ_2:127
    .= X /\ Y by SETFAM_1:11;
end;
