theorem Th44:
  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(C,G) = A '/\' B '/\' D '/\' E '/\' F '/\'
  J
proof
  {A,B,C,D,E,F,J}={A,B,C} \/ {D,E,F,J} by ENUMSET1:18
    .={A} \/ {B,C} \/ {D,E,F,J} by ENUMSET1:2
    .={A,C,B} \/ {D,E,F,J} by ENUMSET1:2
    .={A,C} \/ {B} \/ {D,E,F,J} by ENUMSET1:3
    .={C,A,B} \/ {D,E,F,J} by ENUMSET1:3
    .={C,A,B,D,E,F,J} by ENUMSET1:18;
  hence thesis by Th42;
end;
