reserve x,y,X,Y for set,
  k,l,n for Nat,
  i,i1,i2,i3,j for Integer,
  G for Group,
  a,b,c,d for Element of G,
  A,B,C for Subset of G,
  H,H1,H2, H3 for Subgroup of G,
  h for Element of H,
  F,F1,F2 for FinSequence of the carrier of G,
  I,I1,I2 for FinSequence of INT;

theorem Th60:
  H1 is Subgroup of H1 "\/" H2 & H2 is Subgroup of H1 "\/" H2
proof
  H1 "\/" H2 = H2 "\/" H1;
  hence thesis by Lm4;
end;
