{} is empty trivial set
the empty trivial set is empty trivial set
X is set
R is set
X is () set
bool X is set
R is Element of bool X
R is set
F1() is set
F2() is set
[:F1(),F2():] is set
X is set
R is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is () set
X is () set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is () set
R is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
z is set
c is set
[z,c] is non empty V4() set
{z,c} is non empty set
{z} is non empty trivial set
{{z,c},{z}} is non empty set
R is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
R is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is () set
R is set
X /\ R is set
X \ R is () Element of bool X
bool X is set
X is () set
R is () set
X \/ R is set
R is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
x is set
[c,x] is non empty V4() set
{c,x} is non empty set
{c} is non empty trivial set
{{c,x},{c}} is non empty set
X is () set
R is () set
X \+\ R is set
X \ R is () set
R \ X is () set
(X \ R) \/ (R \ X) is () set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
{[X,R]} is non empty trivial set
R is set
[:X,R:] is set
R is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
{[X,R],[R,y]} is non empty set
{[X,R]} is non empty trivial () set
{[R,y]} is non empty trivial () set
{[X,R]} \/ {[R,y]} is non empty () set
X is () set
R is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
R is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is () set
R is () set
X \/ R is () set
proj1 (X \/ R) is set
proj1 X is set
proj1 R is set
(proj1 X) \/ (proj1 R) is set
X is () set
R is () set
X /\ R is () set
proj1 (X /\ R) is set
proj1 X is set
proj1 R is set
(proj1 X) /\ (proj1 R) is set
X is () set
proj1 X is set
R is () set
proj1 R is set
(proj1 X) \ (proj1 R) is Element of bool (proj1 X)
bool (proj1 X) is set
X \ R is () Element of bool X
bool X is set
proj1 (X \ R) is set
X is () set
proj1 X is set
proj2 X is set
[:(proj1 X),(proj2 X):] is () set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is () set
proj1 X is set
proj2 X is set
[:(proj1 X),(proj2 X):] is () set
X /\ [:(proj1 X),(proj2 X):] is () set
X is set
{X} is non empty trivial set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{{X,R},{X}} is non empty set
{[X,R]} is non empty trivial () set
{R} is non empty trivial set
R is () set
proj1 R is set
proj2 R is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
y is set
z is set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
[X,y] is non empty V4() set
{X,y} is non empty set
{{X,y},{X}} is non empty set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is set
{X,R} is non empty set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
{[X,R],[R,y]} is non empty () set
{R,y} is non empty set
z is () set
proj1 z is set
proj2 z is set
c is set
x is set
[c,x] is non empty V4() set
{c,x} is non empty set
{c} is non empty trivial set
{{c,x},{c}} is non empty set
c is set
[c,R] is non empty V4() set
{c,R} is non empty set
{c} is non empty trivial set
{{c,R},{c}} is non empty set
[c,y] is non empty V4() set
{c,y} is non empty set
{{c,y},{c}} is non empty set
c is set
x is set
[x,c] is non empty V4() set
{x,c} is non empty set
{x} is non empty trivial set
{{x,c},{x}} is non empty set
c is set
[X,c] is non empty V4() set
{X,c} is non empty set
{{X,c},{X}} is non empty set
[R,c] is non empty V4() set
{R,c} is non empty set
{{R,c},{R}} is non empty set
X is () set
R is () set
proj1 X is set
proj1 R is set
proj2 X is set
proj2 R is set
X is () set
R is () set
X \/ R is () set
proj2 (X \/ R) is set
proj2 X is set
proj2 R is set
(proj2 X) \/ (proj2 R) is set
X is () set
R is () set
X /\ R is () set
proj2 (X /\ R) is set
proj2 X is set
proj2 R is set
(proj2 X) /\ (proj2 R) is set
X is () set
proj2 X is set
R is () set
proj2 R is set
(proj2 X) \ (proj2 R) is Element of bool (proj2 X)
bool (proj2 X) is set
X \ R is () Element of bool X
bool X is set
proj2 (X \ R) is set
X is () set
proj1 X is set
proj2 X is set
(proj1 X) \/ (proj2 X) is set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is () set
(R) is set
proj1 R is set
proj2 R is set
(proj1 R) \/ (proj2 R) is set
X is () set
(X) is set
proj1 X is set
proj2 X is set
(proj1 X) \/ (proj2 X) is set
R is () set
(R) is set
proj1 R is set
proj2 R is set
(proj1 R) \/ (proj2 R) is set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
{[X,R]} is non empty trivial () set
({[X,R]}) is set
proj1 {[X,R]} is set
proj2 {[X,R]} is set
(proj1 {[X,R]}) \/ (proj2 {[X,R]}) is set
{R} is non empty trivial set
X is () set
(X) is set
proj1 X is set
proj2 X is set
(proj1 X) \/ (proj2 X) is set
R is () set
X \/ R is () set
((X \/ R)) is set
proj1 (X \/ R) is set
proj2 (X \/ R) is set
(proj1 (X \/ R)) \/ (proj2 (X \/ R)) is set
(R) is set
proj1 R is set
proj2 R is set
(proj1 R) \/ (proj2 R) is set
(X) \/ (R) is set
(proj1 X) \/ (proj1 R) is set
((proj1 X) \/ (proj1 R)) \/ (proj2 (X \/ R)) is set
(proj2 X) \/ (proj2 R) is set
((proj1 X) \/ (proj1 R)) \/ ((proj2 X) \/ (proj2 R)) is set
((proj1 X) \/ (proj1 R)) \/ (proj2 X) is set
(((proj1 X) \/ (proj1 R)) \/ (proj2 X)) \/ (proj2 R) is set
(X) \/ (proj1 R) is set
((X) \/ (proj1 R)) \/ (proj2 R) is set
X is () set
(X) is set
proj1 X is set
proj2 X is set
(proj1 X) \/ (proj2 X) is set
R is () set
X /\ R is () set
((X /\ R)) is set
proj1 (X /\ R) is set
proj2 (X /\ R) is set
(proj1 (X /\ R)) \/ (proj2 (X /\ R)) is set
(R) is set
proj1 R is set
proj2 R is set
(proj1 R) \/ (proj2 R) is set
(X) /\ (R) is set
R is set
(proj1 X) /\ (proj1 R) is set
(proj2 X) /\ (proj2 R) is set
X is () set
proj2 X is set
proj1 X is set
R is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
R is () set
R is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
R is () set
R is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
x is set
c is set
[x,c] is non empty V4() set
{x,c} is non empty set
{x} is non empty trivial set
{{x,c},{x}} is non empty set
[c,x] is non empty V4() set
{c,x} is non empty set
{c} is non empty trivial set
{{c,x},{c}} is non empty set
X is () set
proj2 X is set
(X) is () set
proj1 (X) is set
proj1 X is set
proj2 (X) is set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is () set
(X) is set
proj1 X is set
proj2 X is set
(proj1 X) \/ (proj2 X) is set
(X) is () set
((X)) is set
proj1 (X) is set
proj2 (X) is set
(proj1 (X)) \/ (proj2 (X)) is set
(proj2 (X)) \/ (proj2 X) is set
X is () set
(X) is () set
R is () set
X /\ R is () set
((X /\ R)) is () set
(R) is () set
(X) /\ (R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is () set
(X) is () set
R is () set
X \/ R is () set
((X \/ R)) is () set
(R) is () set
(X) \/ (R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is () set
(X) is () set
R is () set
X \ R is () Element of bool X
bool X is set
((X \ R)) is () set
(R) is () set
(X) \ (R) is () Element of bool (X)
bool (X) is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is set
R is set
proj1 X is set
proj2 R is set
R is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
R is () set
y is () set
z is set
c is set
[z,c] is non empty V4() set
{z,c} is non empty set
{z} is non empty trivial set
{{z,c},{z}} is non empty set
x is set
[z,x] is non empty V4() set
{z,x} is non empty set
{{z,x},{z}} is non empty set
[x,c] is non empty V4() set
{x,c} is non empty set
{x} is non empty trivial set
{{x,c},{x}} is non empty set
x is set
[z,x] is non empty V4() set
{z,x} is non empty set
{{z,x},{z}} is non empty set
[x,c] is non empty V4() set
{x,c} is non empty set
{x} is non empty trivial set
{{x,c},{x}} is non empty set
X is () set
proj1 X is set
R is () set
(X,R) is () set
proj1 (X,R) is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
z is set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
X is () set
R is () set
(X,R) is () set
proj2 (X,R) is set
proj2 R is set
R is set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{{y,z},{y}} is non empty set
[z,R] is non empty V4() set
{z,R} is non empty set
{z} is non empty trivial set
{{z,R},{z}} is non empty set
X is () set
proj2 X is set
proj1 X is set
R is () set
proj1 R is set
(X,R) is () set
proj1 (X,R) is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
X is () set
proj1 X is set
proj2 X is set
R is () set
proj2 R is set
(R,X) is () set
proj2 (R,X) is set
R is set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
z is set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
[z,R] is non empty V4() set
{z,R} is non empty set
{{z,R},{z}} is non empty set
X is () set
R is () set
R is () set
(R,X) is () set
(R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is () set
R is () set
R is () set
(X,R) is () set
(R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is () set
R is () set
R is () set
(X,R) is () set
y is () set
(R,y) is () set
z is set
c is set
[z,c] is non empty V4() set
{z,c} is non empty set
{z} is non empty trivial set
{{z,c},{z}} is non empty set
x is set
[z,x] is non empty V4() set
{z,x} is non empty set
{{z,x},{z}} is non empty set
[x,c] is non empty V4() set
{x,c} is non empty set
{x} is non empty trivial set
{{x,c},{x}} is non empty set
X is () set
R is () set
(X,R) is () set
R is () set
R \/ R is () set
(X,(R \/ R)) is () set
(X,R) is () set
(X,R) \/ (X,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is () set
R is () set
(X,R) is () set
R is () set
R /\ R is () set
(X,(R /\ R)) is () set
(X,R) is () set
(X,R) /\ (X,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is () set
R is () set
(X,R) is () set
R is () set
(X,R) is () set
(X,R) \ (X,R) is () Element of bool (X,R)
bool (X,R) is set
R \ R is () Element of bool R
bool R is set
(X,(R \ R)) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is () set
(X) is () set
R is () set
(X,R) is () set
((X,R)) is () set
(R) is () set
((R),(X)) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{{y,z},{y}} is non empty set
[z,R] is non empty V4() set
{z,R} is non empty set
{z} is non empty trivial set
{{z,R},{z}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{{z,y},{z}} is non empty set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
z is set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
[z,R] is non empty V4() set
{z,R} is non empty set
{{z,R},{z}} is non empty set
[y,z] is non empty V4() set
{y,z} is non empty set
{{y,z},{y}} is non empty set
X is () set
R is () set
(X,R) is () set
R is () set
((X,R),R) is () set
(R,R) is () set
(X,(R,R)) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
x is set
[y,x] is non empty V4() set
{y,x} is non empty set
{{y,x},{y}} is non empty set
[x,c] is non empty V4() set
{x,c} is non empty set
{x} is non empty trivial set
{{x,c},{x}} is non empty set
[x,z] is non empty V4() set
{x,z} is non empty set
{{x,z},{x}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
x is set
[c,x] is non empty V4() set
{c,x} is non empty set
{{c,x},{c}} is non empty set
[x,z] is non empty V4() set
{x,z} is non empty set
{x} is non empty trivial set
{{x,z},{x}} is non empty set
[y,x] is non empty V4() set
{y,x} is non empty set
{{y,x},{y}} is non empty set
[{},{}] is non empty V4() set
{{},{}} is non empty set
{{}} is non empty trivial set
{{{},{}},{{}}} is non empty set
{[{},{}]} is non empty trivial () set
X is non empty () set
proj1 X is set
the Element of X is Element of X
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
proj2 X is set
the Element of X is Element of X
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is () set
the Element of X is Element of X
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
proj1 {} is empty trivial () set
proj2 {} is empty trivial () set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is set
[[X,R],R] is non empty V4() set
{[X,R],R} is non empty set
{[X,R]} is non empty trivial () set
{{[X,R],R},{[X,R]}} is non empty set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is set
[R,[X,R]] is non empty V4() set
{R,[X,R]} is non empty set
{R} is non empty trivial set
{{R,[X,R]},{R}} is non empty set
X is () set
({},X) is () set
(X,{}) is () set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{{R,y},{R}} is non empty set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is empty trivial () set
proj1 X is empty trivial () set
proj2 X is empty trivial () set
R is () set
(X,R) is () set
(R,X) is () set
({}) is set
(proj1 {}) \/ (proj2 {}) is () set
X is () set
proj1 X is set
proj2 X is set
X is () set
proj1 X is set
proj2 X is set
R is () set
proj2 R is set
proj1 R is set
X is empty trivial () set
(X) is () set
({}) is () set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
({}) is empty trivial () set
X is () set
proj2 X is set
R is () set
proj1 R is set
(X,R) is () set
(proj2 X) /\ (proj1 R) is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
z is set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
X is () set
R is () () set
(X,R) is () set
proj2 (X,R) is set
proj2 R is set
X is set
R is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
R is () set
R is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
(X) is () set
proj1 (X) is set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
proj2 (X) is set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is set
(X) is () set
proj1 (X) is set
R is set
(R) is () set
proj2 (R) is set
X is set
(X) is () set
((X)) is () set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is set
(X) is () set
((X)) is () set
X is set
(X) is () set
R is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is set
(R) is () set
y is () set
((R),y) is () set
z is set
[X,z] is non empty V4() set
{X,z} is non empty set
{{X,z},{X}} is non empty set
[z,R] is non empty V4() set
{z,R} is non empty set
{z} is non empty trivial set
{{z,R},{z}} is non empty set
[X,X] is non empty V4() set
{X,X} is non empty set
{{X,X},{X}} is non empty set
X is set
R is set
[X,R] is non empty V4() set
{X,R} is non empty set
{X} is non empty trivial set
{{X,R},{X}} is non empty set
R is set
(R) is () set
y is () set
(y,(R)) is () set
z is set
[X,z] is non empty V4() set
{X,z} is non empty set
{{X,z},{X}} is non empty set
[z,R] is non empty V4() set
{z,R} is non empty set
{z} is non empty trivial set
{{z,R},{z}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is set
(X) is () set
R is () set
(R,(X)) is () set
((X),R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
z is set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
z is set
[R,z] is non empty V4() set
{R,z} is non empty set
{{R,z},{R}} is non empty set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
X is set
(X) is () set
R is () set
proj1 R is set
((X),R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[R,R] is non empty V4() set
{R,R} is non empty set
{{R,R},{R}} is non empty set
X is () set
proj1 X is set
((proj1 X)) is () set
(((proj1 X)),X) is () set
X is set
(X) is () set
R is () set
proj2 R is set
(R,(X)) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
[y,y] is non empty V4() set
{y,y} is non empty set
{y} is non empty trivial set
{{y,y},{y}} is non empty set
X is () set
proj2 X is set
((proj2 X)) is () set
(X,((proj2 X))) is () set
({}) is () set
proj1 ({}) is set
X is set
(X) is () set
R is () set
proj2 R is set
R is () set
(R,R) is () set
y is () set
proj1 y is set
((proj1 y)) is () set
(R,y) is () set
((R,R),y) is () set
(R,(R,y)) is () set
(((proj1 y)),y) is () set
R is set
X is () set
proj1 X is set
proj2 X is set
R is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
R is () set
y is () set
z is set
c is set
[z,c] is non empty V4() set
{z,c} is non empty set
{z} is non empty trivial set
{{z,c},{z}} is non empty set
X is () set
R is empty trivial () set
(X,R) is () set
(X,{}) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is set
R is () set
(R,R) is () set
proj1 (R,R) is set
proj1 R is set
y is set
[X,y] is non empty V4() set
{X,y} is non empty set
{X} is non empty trivial set
{{X,y},{X}} is non empty set
y is set
[X,y] is non empty V4() set
{X,y} is non empty set
{X} is non empty trivial set
{{X,y},{X}} is non empty set
X is set
R is () set
(R,X) is () set
proj1 (R,X) is set
R is set
X is set
R is () set
(R,X) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is () set
(R,X) is () set
proj1 (R,X) is set
proj1 R is set
R is set
X is set
R is () set
(R,X) is () set
proj1 (R,X) is set
proj1 R is set
(proj1 R) /\ X is set
R is set
X is set
R is () set
proj1 R is set
(R,X) is () set
proj1 (R,X) is set
(proj1 R) /\ X is set
R is () set
X is set
(R,X) is () set
R is () set
((R,X),R) is () set
(R,R) is () set
R is () set
R is () set
X is set
(R,X) is () set
(R,(R,X)) is () set
(R,R) is () set
X is set
(X) is () set
R is () set
(R,X) is () set
((X),R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is () set
(R,X) is () set
proj1 R is set
(proj1 R) /\ X is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
(proj1 R) /\ X is set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is () set
(R,X) is () set
proj2 R is set
[:X,(proj2 R):] is () set
R /\ [:X,(proj2 R):] is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is () set
proj1 R is set
(R,X) is () set
proj2 R is set
[:(proj1 R),(proj2 R):] is () set
[:X,(proj2 R):] is () set
R /\ [:X,(proj2 R):] is () set
X is () set
proj1 X is set
(X,(proj1 X)) is () set
X is () set
proj1 X is set
(X,(proj1 X)) is () set
X is set
R is () set
(R,X) is () set
proj2 (R,X) is set
proj2 R is set
X is set
R is set
X /\ R is set
R is () set
(R,X) is () set
((R,X),R) is () set
(R,(X /\ R)) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is () set
R is set
(X,R) is () set
((X,R),R) is () set
R /\ R is set
R is () set
X is set
(R,X) is () set
((R,X),X) is () set
X is set
R is set
R is () set
(R,X) is () set
((R,X),R) is () set
X /\ R is set
X is set
R is set
R is () set
(R,R) is () set
((R,R),X) is () set
(R,X) is () set
R /\ X is set
X is set
R is set
R is () set
(R,X) is () set
(R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is () set
(R,X) is () set
R is () set
(R,X) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
R is () set
(R,X) is () set
y is () set
(y,R) is () set
(y,X) is () set
X is set
R is set
X \/ R is set
R is () set
(R,(X \/ R)) is () set
(R,X) is () set
(R,R) is () set
(R,X) \/ (R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
X /\ R is set
R is () set
(R,(X /\ R)) is () set
(R,X) is () set
(R,R) is () set
(R,X) /\ (R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
X \ R is Element of bool X
bool X is set
R is () set
(R,(X \ R)) is () set
(R,X) is () set
(R,R) is () set
(R,X) \ (R,R) is () Element of bool (R,X)
bool (R,X) is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is empty trivial () set
R is set
(X,R) is () set
({},R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is () set
(X,{}) is empty trivial () set
X is set
({},X) is empty trivial () set
X is set
R is () set
(R,X) is () set
R is () set
(R,R) is () set
((R,R),X) is () set
((R,X),R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is set
R is () set
proj1 R is set
proj2 R is set
R is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
R is () set
y is () set
z is set
c is set
[z,c] is non empty V4() set
{z,c} is non empty set
{z} is non empty trivial set
{{z,c},{z}} is non empty set
R is empty trivial () set
X is () set
(R,X) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is set
R is () set
(R,R) is () set
proj2 (R,R) is set
proj2 R is set
y is set
[y,X] is non empty V4() set
{y,X} is non empty set
{y} is non empty trivial set
{{y,X},{y}} is non empty set
y is set
[y,X] is non empty V4() set
{y,X} is non empty set
{y} is non empty trivial set
{{y,X},{y}} is non empty set
X is set
R is () set
(X,R) is () set
proj2 (X,R) is set
R is set
X is set
R is () set
(X,R) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is () set
(X,R) is () set
proj2 (X,R) is set
proj2 R is set
X is set
R is () set
(X,R) is () set
proj2 (X,R) is set
proj2 R is set
(proj2 R) /\ X is set
R is set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is set
R is () set
proj2 R is set
(X,R) is () set
proj2 (X,R) is set
(proj2 R) /\ X is set
X is set
R is () set
(X,R) is () set
R is () set
((X,R),R) is () set
(R,R) is () set
R is () set
X is set
R is () set
(X,R) is () set
(R,(X,R)) is () set
(R,R) is () set
X is set
(X) is () set
R is () set
(X,R) is () set
(R,(X)) is () set
R is set
y is set
[R,y] is non empty V4() set
{R,y} is non empty set
{R} is non empty trivial set
{{R,y},{R}} is non empty set
X is set
R is () set
(X,R) is () set
proj1 R is set
[:(proj1 R),X:] is () set
R /\ [:(proj1 R),X:] is () set
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z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is () set
proj2 R is set
(X,R) is () set
proj1 R is set
[:(proj1 R),(proj2 R):] is () set
[:(proj1 R),X:] is () set
R /\ [:(proj1 R),X:] is () set
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((proj2 X),X) is () set
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proj2 X is set
((proj2 X),X) is () set
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((X /\ R),R) is () set
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[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is () set
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(X,(X,R)) is () set
X /\ X is set
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X is set
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R /\ X is set
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(X,R) is () set
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{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is () set
(X,R) is () set
R is () set
(X,R) is () set
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z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
R is () set
(X,R) is () set
y is () set
(R,y) is () set
(X,y) is () set
X is set
R is set
X \/ R is set
R is () set
((X \/ R),R) is () set
(X,R) is () set
(R,R) is () set
(X,R) \/ (R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
X /\ R is set
R is () set
((X /\ R),R) is () set
(X,R) is () set
(R,R) is () set
(X,R) /\ (R,R) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is set
R is set
X \ R is Element of bool X
bool X is set
R is () set
((X \ R),R) is () set
(X,R) is () set
(R,R) is () set
(X,R) \ (R,R) is () Element of bool (X,R)
bool (X,R) is set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is () set
({},X) is empty trivial () set
X is set
(X,{}) is () set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is set
R is () set
R is () set
(R,R) is () set
(X,(R,R)) is () set
(X,R) is () set
(R,(X,R)) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
c is set
[y,c] is non empty V4() set
{y,c} is non empty set
{{y,c},{y}} is non empty set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is set
R is set
R is () set
(X,R) is () set
((X,R),R) is () set
(R,R) is () set
(X,(R,R)) is () set
y is set
z is set
[y,z] is non empty V4() set
{y,z} is non empty set
{y} is non empty trivial set
{{y,z},{y}} is non empty set
X is () set
R is set
proj2 X is set
R is set
y is set
z is set
[z,y] is non empty V4() set
{z,y} is non empty set
{z} is non empty trivial set
{{z,y},{z}} is non empty set
R is set
y is set
z is set
c is set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
c is set
[c,z] is non empty V4() set
{c,z} is non empty set
{c} is non empty trivial set
{{c,z},{c}} is non empty set
X is set
R is set
R is () set
(R,R) is set
proj1 R is set
y is set
[y,X] is non empty V4() set
{y,X} is non empty set
{y} is non empty trivial set
{{y,X},{y}} is non empty set
y is set
[y,X] is non empty V4() set
{y,X} is non empty set
{y} is non empty trivial set
{{y,X},{y}} is non empty set
X is set
R is () set
(R,X) is set
proj2 R is set
R is set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is set
R is () set
(R,X) is set
proj1 R is set
(proj1 R) /\ X is set
(R,((proj1 R) /\ X)) is set
R is set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is () set
proj1 X is set
(X,(proj1 X)) is set
proj2 X is set
R is set
R is set
[R,R] is non empty V4() set
{R,R} is non empty set
{R} is non empty trivial set
{{R,R},{R}} is non empty set
X is set
R is () set
(R,X) is set
proj1 R is set
(R,(proj1 R)) is set
proj2 R is set
X is set
R is () set
(R,X) is () set
proj2 (R,X) is set
(R,X) is set
R is set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
y is set
[y,R] is non empty V4() set
{y,R} is non empty set
{y} is non empty trivial set
{{y,R},{y}} is non empty set
X is () set
R is empty trivial () set
(X,R) is set
(X,{}) is set
the Element of (X,{}) is Element of (X,{})
y is set
[y, the Element of (X,{})] is non empty V4() set
{y, the Element of (X,{})} is non empty set
{y} is non empty trivial set
{{y, the Element of (X,{})},{y}} is non empty set
X is empty trivial () set
R is set
(X,R) is set
({},R) is set
the Element of ({},R) is