{ ! member( Z, compose( Xf, Xg)), equal( Z, ordered_pair( f29( Z, Xf, Xg), f30(
Z, Xf, Xg)))}.
{ ! member( Z, compose( Xf, Xg)), member( ordered_pair( f29( Z, Xf, Xg), f31( Z,
Xf, Xg)), Xf)}.
{ ! member( Z, compose( Xf, Xg)), member( ordered_pair( f31( Z, Xf, Xg), f30( Z,
Xf, Xg)), Xg)}.
{ member( Z, compose( Xf, Xg)), ! little_set( Z), ! little_set( X), ! little_set
( Y), ! little_set( W), ! equal( Z, ordered_pair( X, Y)), ! member( ordered_pair
( X, W), Xf), ! member( ordered_pair( W, Y), Xg)}.
{ ! homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), closed( Xs1, Xf1)}.
{ ! homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), closed( Xs2, Xf2)}.
{ ! homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), maps( Xh, Xs1, Xs2)}.
{ ! homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), ! member( X, Xs1), ! member( Y, Xs1),
equal( apply( Xh, apply_to_two_arguments( Xf1, X, Y)), apply_to_two_arguments(
Xf2, apply( Xh, X), apply( Xh, Y)))}.
{ homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), ! closed( Xs1, Xf1), ! closed( Xs2, Xf2
), ! maps( Xh, Xs1, Xs2), member( f32( Xh, Xs1, Xf1, Xs2, Xf2), Xs1)}.
{ homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), ! closed( Xs1, Xf1), ! closed( Xs2, Xf2
), ! maps( Xh, Xs1, Xs2), member( f33( Xh, Xs1, Xf1, Xs2, Xf2), Xs1)}.
{ homomorphism( Xh, Xs1, Xf1, Xs2, Xf2), ! closed( Xs1, Xf1), ! closed( Xs2, Xf2
), ! maps( Xh, Xs1, Xs2), ! equal( apply( Xh, apply_to_two_arguments( Xf1, f32(
Xh, Xs1, Xf1, Xs2, Xf2), f33( Xh, Xs1, Xf1, Xs2, Xf2))), apply_to_two_arguments(
Xf2, apply( Xh, f32( Xh, Xs1, Xf1, Xs2, Xf2)), apply( Xh, f33( Xh, Xs1, Xf1, Xs
2, Xf2))))}.
Web Page: http://www.mpi-sb.mpg.de/~nivelle/programs/bliksem/