theorem Th45:
  G={A,B,C,D,E,F,J} & A<>B & A<>C & A<>D & A<>E & A<>F & A<>J & B
<>C & B<>D & B<>E & B<>F & B<>J & C<>D & C<>E & C<>F & C<>J & D<>E & D<>F & D<>
J & E<>F & E<>J & F<>J implies CompF(D,G) = A '/\' B '/\' C '/\' E '/\' F '/\'
  J
proof
  {A,B,C,D,E,F,J}={A,B} \/ {C,D,E,F,J} by ENUMSET1:17
    .={A,B} \/ ({C,D} \/ {E,F,J}) by ENUMSET1:8
    .={A,B} \/ {D,C,E,F,J} by ENUMSET1:8
    .={A,B,D,C,E,F,J} by ENUMSET1:17;
  hence thesis by Th44;
end;
