:: FILTER_1 semantic presentation

{} is set
the Relation-like non-empty empty-yielding Function-like one-to-one constant functional empty set is Relation-like non-empty empty-yielding Function-like one-to-one constant functional empty set
1 is non empty set
{{},1} is set
K169() is set
bool K169() is non empty set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
F is non empty final meet-closed join-closed Element of bool the carrier of B
a /\ F is Element of bool the carrier of B
E is Element of the carrier of B
g is Element of the carrier of B
E "\/" g is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (E,g) is Element of the carrier of B
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
the L_join of B . [E,g] is set
o1 is Element of the carrier of B
o2 is Element of the carrier of B
o1 "/\" o2 is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (o1,o2) is Element of the carrier of B
[o1,o2] is set
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
the L_meet of B . [o1,o2] is set
S is non empty Element of bool the carrier of B
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
a is Element of the carrier of B
<.a.) is non empty final meet-closed join-closed Element of bool the carrier of B
bool the carrier of B is non empty set
{ b₁ where b₁ is Element of the carrier of B : a [= b₁ } is set
F is Element of the carrier of B
<.F.) is non empty final meet-closed join-closed Element of bool the carrier of B
{ b₁ where b₁ is Element of the carrier of B : F [= b₁ } is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
F is non empty final meet-closed join-closed Element of bool the carrier of B
a /\ F is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like set
id B is Relation-like B -defined B -valued Function-like one-to-one non empty total V20(B,B) V21(B) V22(B,B) V29() V31() V32() V36() Element of bool [:B,B:]
F is Relation-like B -defined B -valued Function-like non empty total V20(B,B) Element of bool [:B,B:]
E is Element of B
g is Element of B
[E,g] is Element of [:B,B:]
{E,g} is set
{E} is set
{{E,g},{E}} is set
F . E is Element of B
F . g is Element of B
[(F . E),(F . g)] is Element of [:B,B:]
{(F . E),(F . g)} is set
{(F . E)} is set
{{(F . E),(F . g)},{(F . E)}} is set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
pr1 (B,B) is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Element of B
g is Element of B
[E,g] is Element of [:B,B:]
{E,g} is set
{E} is set
{{E,g},{E}} is set
S is Element of B
o1 is Element of B
[S,o1] is Element of [:B,B:]
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
F . (E,S) is Element of B
[E,S] is set
{E,S} is set
{{E,S},{E}} is set
F . [E,S] is set
F . (g,o1) is Element of B
[g,o1] is set
{g,o1} is set
{g} is set
{{g,o1},{g}} is set
F . [g,o1] is set
[(F . (E,S)),(F . (g,o1))] is Element of [:B,B:]
{(F . (E,S)),(F . (g,o1))} is set
{(F . (E,S))} is set
{{(F . (E,S)),(F . (g,o1))},{(F . (E,S))}} is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
F is Relation-like B -defined B -valued Function-like non empty total V20(B,B) Element of bool [:B,B:]
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
[:(Class a),(Class a):] is Relation-like non empty set
bool [:(Class a),(Class a):] is non empty set
E is set
g is set
Class (a,g) is Element of bool B
bool B is non empty set
E is Relation-like Function-like set
dom E is set
rng E is set
g is set
S is set
E . S is set
bool B is non empty set
[:B,(Class a):] is Relation-like non empty set
bool [:B,(Class a):] is non empty set
g is Relation-like B -defined Class a -valued Function-like non empty total V20(B, Class a) Element of bool [:B,(Class a):]
[:(Class a),B:] is Relation-like non empty set
bool [:(Class a),B:] is non empty set
S is Relation-like Class a -defined B -valued Function-like non empty total V20( Class a,B) Element of bool [:(Class a),B:]
g * F is Relation-like B -defined Class a -valued Function-like non empty total V20(B, Class a) Element of bool [:B,(Class a):]
(g * F) * S is Relation-like Class a -defined Class a -valued Function-like non empty total V20( Class a, Class a) Element of bool [:(Class a),(Class a):]
o1 is Relation-like Class a -defined Class a -valued Function-like non empty total V20( Class a, Class a) Element of bool [:(Class a),(Class a):]
o2 is set
o1 . o2 is set
R is set
F . R is set
Class (a,(F . R)) is Element of bool B
dom (g * F) is non empty set
S . o2 is set
rng S is non empty set
(g * F) . (S . o2) is set
F . (S . o2) is set
g . (F . (S . o2)) is set
dom o1 is non empty set
h is Element of Class a
S . h is Element of B
f is Element of B
[(S . h),f] is Element of [:B,B:]
{(S . h),f} is set
{(S . h)} is set
{{(S . h),f},{(S . h)}} is set
x is set
Class (a,x) is Element of bool B
F . (S . h) is Element of B
F . f is Element of B
[(F . (S . h)),(F . f)] is Element of [:B,B:]
{(F . (S . h)),(F . f)} is set
{(F . (S . h))} is set
{{(F . (S . h)),(F . f)},{(F . (S . h))}} is set
EqClass (a,(F . f)) is Element of Class a
g . (F . (S . h)) is Element of Class a
EqClass (a,(F . (S . h))) is Element of Class a
E is Relation-like Class a -defined Class a -valued Function-like non empty total V20( Class a, Class a) Element of bool [:(Class a),(Class a):]
g is Relation-like Class a -defined Class a -valued Function-like non empty total V20( Class a, Class a) Element of bool [:(Class a),(Class a):]
S is set
o1 is set
Class (a,o1) is Element of bool B
bool B is non empty set
E . S is set
F . o1 is set
Class (a,(F . o1)) is Element of bool B
g . S is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
E is set
g is set
Class (a,g) is Element of bool B
bool B is non empty set
E is Relation-like Function-like set
dom E is set
rng E is set
g is set
S is set
E . S is set
bool B is non empty set
[:B,(Class a):] is Relation-like non empty set
bool [:B,(Class a):] is non empty set
g is Relation-like B -defined Class a -valued Function-like non empty total V20(B, Class a) Element of bool [:B,(Class a):]
[:(Class a),B:] is Relation-like non empty set
bool [:(Class a),B:] is non empty set
S is Relation-like Class a -defined B -valued Function-like non empty total V20( Class a,B) Element of bool [:(Class a),B:]
o1 is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
o2 is set
R is set
o1 . (o2,R) is set
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
o1 . [o2,R] is set
h is set
f is set
F . (h,f) is set
[h,f] is set
{h,f} is set
{h} is set
{{h,f},{h}} is set
F . [h,f] is set
Class (a,(F . (h,f))) is Element of bool B
y is Element of Class a
S . y is Element of B
y9 is Element of B
[(S . y),y9] is Element of [:B,B:]
{(S . y),y9} is set
{(S . y)} is set
{{(S . y),y9},{(S . y)}} is set
hx is set
Class (a,hx) is Element of bool B
x is Element of Class a
S . x is Element of B
x9 is Element of B
[(S . x),x9] is Element of [:B,B:]
{(S . x),x9} is set
{(S . x)} is set
{{(S . x),x9},{(S . x)}} is set
hx is set
Class (a,hx) is Element of bool B
F . ((S . x),(S . y)) is Element of B
[(S . x),(S . y)] is set
{(S . x),(S . y)} is set
{{(S . x),(S . y)},{(S . x)}} is set
F . [(S . x),(S . y)] is set
F . (x9,y9) is Element of B
[x9,y9] is set
{x9,y9} is set
{x9} is set
{{x9,y9},{x9}} is set
F . [x9,y9] is set
[(F . ((S . x),(S . y))),(F . (x9,y9))] is Element of [:B,B:]
{(F . ((S . x),(S . y))),(F . (x9,y9))} is set
{(F . ((S . x),(S . y)))} is set
{{(F . ((S . x),(S . y))),(F . (x9,y9))},{(F . ((S . x),(S . y)))}} is set
EqClass (a,(F . (x9,y9))) is Element of Class a
g . (F . ((S . x),(S . y))) is Element of Class a
EqClass (a,(F . ((S . x),(S . y)))) is Element of Class a
o1 . (x,y) is Element of Class a
[x,y] is set
{x,y} is set
{x} is set
{{x,y},{x}} is set
o1 . [x,y] is set
E is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
g is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
bool B is non empty set
S is Element of Class a
o2 is set
Class (a,o2) is Element of bool B
o1 is Element of Class a
R is set
Class (a,R) is Element of bool B
E . (S,o1) is Element of Class a
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
E . [S,o1] is set
F . (o2,R) is set
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
F . [o2,R] is set
Class (a,(F . (o2,R))) is Element of bool B
g . (S,o1) is Element of Class a
g . [S,o1] is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
F is Element of B
Class (a,F) is Element of bool B
bool B is non empty set
E is Element of B
Class (a,E) is Element of bool B
g is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,g) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
Class a is non empty V26() a_partition of B
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
(B,a,g) . ((Class (a,F)),(Class (a,E))) is set
[(Class (a,F)),(Class (a,E))] is set
{(Class (a,F)),(Class (a,E))} is set
{(Class (a,F))} is set
{{(Class (a,F)),(Class (a,E))},{(Class (a,F))}} is set
(B,a,g) . [(Class (a,F)),(Class (a,E))] is set
g . (F,E) is Element of B
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
g . [F,E] is set
Class (a,(g . (F,E))) is Element of bool B
EqClass (a,E) is Element of Class a
EqClass (a,F) is Element of Class a
F₁() is non empty set
[:F₁(),F₁():] is Relation-like non empty set
bool [:F₁(),F₁():] is non empty set
F₂() is Relation-like F₁() -defined F₁() -valued total V20(F₁(),F₁()) V29() V31() V36() Element of bool [:F₁(),F₁():]
bool F₁() is non empty set
Class F₂() is non empty V26() a_partition of F₁()
B is Element of Class F₂()
a is set
Class (F₂(),a) is Element of bool F₁()
F₁() is non empty set
[:F₁(),F₁():] is Relation-like non empty set
bool [:F₁(),F₁():] is non empty set
F₂() is Relation-like F₁() -defined F₁() -valued total V20(F₁(),F₁()) V29() V31() V36() Element of bool [:F₁(),F₁():]
bool F₁() is non empty set
Class F₂() is non empty V26() a_partition of F₁()
B is Element of Class F₂()
a is Element of Class F₂()
F is set
Class (F₂(),F) is Element of bool F₁()
E is set
Class (F₂(),E) is Element of bool F₁()
F₁() is non empty set
[:F₁(),F₁():] is Relation-like non empty set
bool [:F₁(),F₁():] is non empty set
F₂() is Relation-like F₁() -defined F₁() -valued total V20(F₁(),F₁()) V29() V31() V36() Element of bool [:F₁(),F₁():]
bool F₁() is non empty set
Class F₂() is non empty V26() a_partition of F₁()
B is Element of Class F₂()
a is Element of Class F₂()
F is Element of Class F₂()
E is set
Class (F₂(),E) is Element of bool F₁()
g is set
Class (F₂(),g) is Element of bool F₁()
S is set
Class (F₂(),S) is Element of bool F₁()
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,F) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
bool B is non empty set
E is Element of B
EqClass (a,E) is Element of Class a
g is Element of B
EqClass (a,g) is Element of Class a
(B,a,F) . ((EqClass (a,E)),(EqClass (a,g))) is Element of Class a
[(EqClass (a,E)),(EqClass (a,g))] is set
{(EqClass (a,E)),(EqClass (a,g))} is set
{(EqClass (a,E))} is set
{{(EqClass (a,E)),(EqClass (a,g))},{(EqClass (a,E))}} is set
(B,a,F) . [(EqClass (a,E)),(EqClass (a,g))] is set
F . (E,g) is Element of B
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
F . [E,g] is set
Class (a,(F . (E,g))) is Element of bool B
F . (g,E) is Element of B
[g,E] is set
{g,E} is set
{g} is set
{{g,E},{g}} is set
F . [g,E] is set
Class (a,(F . (g,E))) is Element of bool B
(B,a,F) . ((EqClass (a,g)),(EqClass (a,E))) is Element of Class a
[(EqClass (a,g)),(EqClass (a,E))] is set
{(EqClass (a,g)),(EqClass (a,E))} is set
{(EqClass (a,g))} is set
{{(EqClass (a,g)),(EqClass (a,E))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,E))] is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,F) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
bool B is non empty set
E is Element of B
EqClass (a,E) is Element of Class a
g is Element of B
EqClass (a,g) is Element of Class a
S is Element of B
EqClass (a,S) is Element of Class a
(B,a,F) . ((EqClass (a,g)),(EqClass (a,S))) is Element of Class a
[(EqClass (a,g)),(EqClass (a,S))] is set
{(EqClass (a,g)),(EqClass (a,S))} is set
{(EqClass (a,g))} is set
{{(EqClass (a,g)),(EqClass (a,S))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,S))] is set
(B,a,F) . ((EqClass (a,E)),((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))) is Element of Class a
[(EqClass (a,E)),((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))] is set
{(EqClass (a,E)),((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))} is set
{(EqClass (a,E))} is set
{{(EqClass (a,E)),((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))},{(EqClass (a,E))}} is set
(B,a,F) . [(EqClass (a,E)),((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))] is set
Class (a,E) is Element of bool B
F . (g,S) is Element of B
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
F . [g,S] is set
Class (a,(F . (g,S))) is Element of bool B
(B,a,F) . ((Class (a,E)),(Class (a,(F . (g,S))))) is set
[(Class (a,E)),(Class (a,(F . (g,S))))] is set
{(Class (a,E)),(Class (a,(F . (g,S))))} is set
{(Class (a,E))} is set
{{(Class (a,E)),(Class (a,(F . (g,S))))},{(Class (a,E))}} is set
(B,a,F) . [(Class (a,E)),(Class (a,(F . (g,S))))] is set
F . (E,(F . (g,S))) is Element of B
[E,(F . (g,S))] is set
{E,(F . (g,S))} is set
{E} is set
{{E,(F . (g,S))},{E}} is set
F . [E,(F . (g,S))] is set
Class (a,(F . (E,(F . (g,S))))) is Element of bool B
F . (E,g) is Element of B
[E,g] is set
{E,g} is set
{{E,g},{E}} is set
F . [E,g] is set
F . ((F . (E,g)),S) is Element of B
[(F . (E,g)),S] is set
{(F . (E,g)),S} is set
{(F . (E,g))} is set
{{(F . (E,g)),S},{(F . (E,g))}} is set
F . [(F . (E,g)),S] is set
Class (a,(F . ((F . (E,g)),S))) is Element of bool B
Class (a,(F . (E,g))) is Element of bool B
Class (a,S) is Element of bool B
(B,a,F) . ((Class (a,(F . (E,g)))),(Class (a,S))) is set
[(Class (a,(F . (E,g)))),(Class (a,S))] is set
{(Class (a,(F . (E,g)))),(Class (a,S))} is set
{(Class (a,(F . (E,g))))} is set
{{(Class (a,(F . (E,g)))),(Class (a,S))},{(Class (a,(F . (E,g))))}} is set
(B,a,F) . [(Class (a,(F . (E,g)))),(Class (a,S))] is set
(B,a,F) . ((EqClass (a,E)),(EqClass (a,g))) is Element of Class a
[(EqClass (a,E)),(EqClass (a,g))] is set
{(EqClass (a,E)),(EqClass (a,g))} is set
{{(EqClass (a,E)),(EqClass (a,g))},{(EqClass (a,E))}} is set
(B,a,F) . [(EqClass (a,E)),(EqClass (a,g))] is set
(B,a,F) . (((B,a,F) . ((EqClass (a,E)),(EqClass (a,g)))),(EqClass (a,S))) is Element of Class a
[((B,a,F) . ((EqClass (a,E)),(EqClass (a,g)))),(EqClass (a,S))] is set
{((B,a,F) . ((EqClass (a,E)),(EqClass (a,g)))),(EqClass (a,S))} is set
{((B,a,F) . ((EqClass (a,E)),(EqClass (a,g))))} is set
{{((B,a,F) . ((EqClass (a,E)),(EqClass (a,g)))),(EqClass (a,S))},{((B,a,F) . ((EqClass (a,E)),(EqClass (a,g))))}} is set
(B,a,F) . [((B,a,F) . ((EqClass (a,E)),(EqClass (a,g)))),(EqClass (a,S))] is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Element of B
EqClass (a,F) is Element of Class a
bool B is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
g is Element of B
EqClass (a,g) is Element of Class a
(B,a,E) . ((EqClass (a,F)),(EqClass (a,g))) is Element of Class a
[(EqClass (a,F)),(EqClass (a,g))] is set
{(EqClass (a,F)),(EqClass (a,g))} is set
{(EqClass (a,F))} is set
{{(EqClass (a,F)),(EqClass (a,g))},{(EqClass (a,F))}} is set
(B,a,E) . [(EqClass (a,F)),(EqClass (a,g))] is set
E . (F,g) is Element of B
[F,g] is set
{F,g} is set
{F} is set
{{F,g},{F}} is set
E . [F,g] is set
Class (a,(E . (F,g))) is Element of bool B
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Element of B
EqClass (a,F) is Element of Class a
bool B is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
g is Element of B
EqClass (a,g) is Element of Class a
(B,a,E) . ((EqClass (a,g)),(EqClass (a,F))) is Element of Class a
[(EqClass (a,g)),(EqClass (a,F))] is set
{(EqClass (a,g)),(EqClass (a,F))} is set
{(EqClass (a,g))} is set
{{(EqClass (a,g)),(EqClass (a,F))},{(EqClass (a,g))}} is set
(B,a,E) . [(EqClass (a,g)),(EqClass (a,F))] is set
E . (g,F) is Element of B
[g,F] is set
{g,F} is set
{g} is set
{{g,F},{g}} is set
E . [g,F] is set
EqClass (a,(E . (g,F))) is Element of Class a
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Element of B
EqClass (a,F) is Element of Class a
bool B is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,F) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
bool B is non empty set
g is Element of B
EqClass (a,g) is Element of Class a
S is Element of B
EqClass (a,S) is Element of Class a
o1 is Element of B
EqClass (a,o1) is Element of Class a
(B,a,E) . (H₃(S),H₃(o1)) is Element of Class a
[(EqClass (a,S)),(EqClass (a,o1))] is set
{(EqClass (a,S)),(EqClass (a,o1))} is set
{(EqClass (a,S))} is set
{{(EqClass (a,S)),(EqClass (a,o1))},{(EqClass (a,S))}} is set
(B,a,E) . [(EqClass (a,S)),(EqClass (a,o1))] is set
(B,a,F) . (H₃(g),((B,a,E) . (H₃(S),H₃(o1)))) is Element of Class a
[(EqClass (a,g)),((B,a,E) . (H₃(S),H₃(o1)))] is set
{(EqClass (a,g)),((B,a,E) . (H₃(S),H₃(o1)))} is set
{(EqClass (a,g))} is set
{{(EqClass (a,g)),((B,a,E) . (H₃(S),H₃(o1)))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),((B,a,E) . (H₃(S),H₃(o1)))] is set
E . (S,o1) is Element of B
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
E . [S,o1] is set
EqClass (a,(E . (S,o1))) is Element of Class a
(B,a,F) . (H₃(g),H₃(E . (S,o1))) is Element of Class a
[(EqClass (a,g)),(EqClass (a,(E . (S,o1))))] is set
{(EqClass (a,g)),(EqClass (a,(E . (S,o1))))} is set
{{(EqClass (a,g)),(EqClass (a,(E . (S,o1))))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,(E . (S,o1))))] is set
F . (g,(E . (S,o1))) is Element of B
[g,(E . (S,o1))] is set
{g,(E . (S,o1))} is set
{g} is set
{{g,(E . (S,o1))},{g}} is set
F . [g,(E . (S,o1))] is set
EqClass (a,(F . (g,(E . (S,o1))))) is Element of Class a
F . (g,S) is Element of B
[g,S] is set
{g,S} is set
{{g,S},{g}} is set
F . [g,S] is set
F . (g,o1) is Element of B
[g,o1] is set
{g,o1} is set
{{g,o1},{g}} is set
F . [g,o1] is set
E . ((F . (g,S)),(F . (g,o1))) is Element of B
[(F . (g,S)),(F . (g,o1))] is set
{(F . (g,S)),(F . (g,o1))} is set
{(F . (g,S))} is set
{{(F . (g,S)),(F . (g,o1))},{(F . (g,S))}} is set
E . [(F . (g,S)),(F . (g,o1))] is set
EqClass (a,(E . ((F . (g,S)),(F . (g,o1))))) is Element of Class a
EqClass (a,(F . (g,S))) is Element of Class a
EqClass (a,(F . (g,o1))) is Element of Class a
(B,a,E) . (H₃(F . (g,S)),H₃(F . (g,o1))) is Element of Class a
[(EqClass (a,(F . (g,S)))),(EqClass (a,(F . (g,o1))))] is set
{(EqClass (a,(F . (g,S)))),(EqClass (a,(F . (g,o1))))} is set
{(EqClass (a,(F . (g,S))))} is set
{{(EqClass (a,(F . (g,S)))),(EqClass (a,(F . (g,o1))))},{(EqClass (a,(F . (g,S))))}} is set
(B,a,E) . [(EqClass (a,(F . (g,S)))),(EqClass (a,(F . (g,o1))))] is set
(B,a,F) . (H₃(g),H₃(S)) is Element of Class a
[(EqClass (a,g)),(EqClass (a,S))] is set
{(EqClass (a,g)),(EqClass (a,S))} is set
{{(EqClass (a,g)),(EqClass (a,S))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,S))] is set
(B,a,E) . (((B,a,F) . (H₃(g),H₃(S))),H₃(F . (g,o1))) is Element of Class a
[((B,a,F) . (H₃(g),H₃(S))),(EqClass (a,(F . (g,o1))))] is set
{((B,a,F) . (H₃(g),H₃(S))),(EqClass (a,(F . (g,o1))))} is set
{((B,a,F) . (H₃(g),H₃(S)))} is set
{{((B,a,F) . (H₃(g),H₃(S))),(EqClass (a,(F . (g,o1))))},{((B,a,F) . (H₃(g),H₃(S)))}} is set
(B,a,E) . [((B,a,F) . (H₃(g),H₃(S))),(EqClass (a,(F . (g,o1))))] is set
(B,a,F) . (H₃(g),H₃(o1)) is Element of Class a
[(EqClass (a,g)),(EqClass (a,o1))] is set
{(EqClass (a,g)),(EqClass (a,o1))} is set
{{(EqClass (a,g)),(EqClass (a,o1))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,o1))] is set
(B,a,E) . (((B,a,F) . (H₃(g),H₃(S))),((B,a,F) . (H₃(g),H₃(o1)))) is Element of Class a
[((B,a,F) . (H₃(g),H₃(S))),((B,a,F) . (H₃(g),H₃(o1)))] is set
{((B,a,F) . (H₃(g),H₃(S))),((B,a,F) . (H₃(g),H₃(o1)))} is set
{{((B,a,F) . (H₃(g),H₃(S))),((B,a,F) . (H₃(g),H₃(o1)))},{((B,a,F) . (H₃(g),H₃(S)))}} is set
(B,a,E) . [((B,a,F) . (H₃(g),H₃(S))),((B,a,F) . (H₃(g),H₃(o1)))] is set
(B,a,E) . ((EqClass (a,S)),(EqClass (a,o1))) is Element of Class a
(B,a,F) . ((EqClass (a,g)),((B,a,E) . ((EqClass (a,S)),(EqClass (a,o1))))) is Element of Class a
[(EqClass (a,g)),((B,a,E) . ((EqClass (a,S)),(EqClass (a,o1))))] is set
{(EqClass (a,g)),((B,a,E) . ((EqClass (a,S)),(EqClass (a,o1))))} is set
{{(EqClass (a,g)),((B,a,E) . ((EqClass (a,S)),(EqClass (a,o1))))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),((B,a,E) . ((EqClass (a,S)),(EqClass (a,o1))))] is set
(B,a,F) . ((EqClass (a,g)),(EqClass (a,S))) is Element of Class a
(B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))) is Element of Class a
(B,a,E) . (((B,a,F) . ((EqClass (a,g)),(EqClass (a,S)))),((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))) is Element of Class a
[((B,a,F) . ((EqClass (a,g)),(EqClass (a,S)))),((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))] is set
{((B,a,F) . ((EqClass (a,g)),(EqClass (a,S)))),((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))} is set
{((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))} is set
{{((B,a,F) . ((EqClass (a,g)),(EqClass (a,S)))),((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))},{((B,a,F) . ((EqClass (a,g)),(EqClass (a,S))))}} is set
(B,a,E) . [((B,a,F) . ((EqClass (a,g)),(EqClass (a,S)))),((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))] is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,F) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
bool B is non empty set
g is Element of B
EqClass (a,g) is Element of Class a
S is Element of B
EqClass (a,S) is Element of Class a
(B,a,E) . (H₃(g),H₃(S)) is Element of Class a
[(EqClass (a,g)),(EqClass (a,S))] is set
{(EqClass (a,g)),(EqClass (a,S))} is set
{(EqClass (a,g))} is set
{{(EqClass (a,g)),(EqClass (a,S))},{(EqClass (a,g))}} is set
(B,a,E) . [(EqClass (a,g)),(EqClass (a,S))] is set
o1 is Element of B
EqClass (a,o1) is Element of Class a
(B,a,F) . (((B,a,E) . (H₃(g),H₃(S))),H₃(o1)) is Element of Class a
[((B,a,E) . (H₃(g),H₃(S))),(EqClass (a,o1))] is set
{((B,a,E) . (H₃(g),H₃(S))),(EqClass (a,o1))} is set
{((B,a,E) . (H₃(g),H₃(S)))} is set
{{((B,a,E) . (H₃(g),H₃(S))),(EqClass (a,o1))},{((B,a,E) . (H₃(g),H₃(S)))}} is set
(B,a,F) . [((B,a,E) . (H₃(g),H₃(S))),(EqClass (a,o1))] is set
E . (g,S) is Element of B
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
E . [g,S] is set
EqClass (a,(E . (g,S))) is Element of Class a
(B,a,F) . (H₃(E . (g,S)),H₃(o1)) is Element of Class a
[(EqClass (a,(E . (g,S)))),(EqClass (a,o1))] is set
{(EqClass (a,(E . (g,S)))),(EqClass (a,o1))} is set
{(EqClass (a,(E . (g,S))))} is set
{{(EqClass (a,(E . (g,S)))),(EqClass (a,o1))},{(EqClass (a,(E . (g,S))))}} is set
(B,a,F) . [(EqClass (a,(E . (g,S)))),(EqClass (a,o1))] is set
F . ((E . (g,S)),o1) is Element of B
[(E . (g,S)),o1] is set
{(E . (g,S)),o1} is set
{(E . (g,S))} is set
{{(E . (g,S)),o1},{(E . (g,S))}} is set
F . [(E . (g,S)),o1] is set
EqClass (a,(F . ((E . (g,S)),o1))) is Element of Class a
F . (g,o1) is Element of B
[g,o1] is set
{g,o1} is set
{{g,o1},{g}} is set
F . [g,o1] is set
F . (S,o1) is Element of B
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
F . [S,o1] is set
E . ((F . (g,o1)),(F . (S,o1))) is Element of B
[(F . (g,o1)),(F . (S,o1))] is set
{(F . (g,o1)),(F . (S,o1))} is set
{(F . (g,o1))} is set
{{(F . (g,o1)),(F . (S,o1))},{(F . (g,o1))}} is set
E . [(F . (g,o1)),(F . (S,o1))] is set
EqClass (a,(E . ((F . (g,o1)),(F . (S,o1))))) is Element of Class a
EqClass (a,(F . (g,o1))) is Element of Class a
EqClass (a,(F . (S,o1))) is Element of Class a
(B,a,E) . (H₃(F . (g,o1)),H₃(F . (S,o1))) is Element of Class a
[(EqClass (a,(F . (g,o1)))),(EqClass (a,(F . (S,o1))))] is set
{(EqClass (a,(F . (g,o1)))),(EqClass (a,(F . (S,o1))))} is set
{(EqClass (a,(F . (g,o1))))} is set
{{(EqClass (a,(F . (g,o1)))),(EqClass (a,(F . (S,o1))))},{(EqClass (a,(F . (g,o1))))}} is set
(B,a,E) . [(EqClass (a,(F . (g,o1)))),(EqClass (a,(F . (S,o1))))] is set
(B,a,F) . (H₃(g),H₃(o1)) is Element of Class a
[(EqClass (a,g)),(EqClass (a,o1))] is set
{(EqClass (a,g)),(EqClass (a,o1))} is set
{{(EqClass (a,g)),(EqClass (a,o1))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,o1))] is set
(B,a,E) . (((B,a,F) . (H₃(g),H₃(o1))),H₃(F . (S,o1))) is Element of Class a
[((B,a,F) . (H₃(g),H₃(o1))),(EqClass (a,(F . (S,o1))))] is set
{((B,a,F) . (H₃(g),H₃(o1))),(EqClass (a,(F . (S,o1))))} is set
{((B,a,F) . (H₃(g),H₃(o1)))} is set
{{((B,a,F) . (H₃(g),H₃(o1))),(EqClass (a,(F . (S,o1))))},{((B,a,F) . (H₃(g),H₃(o1)))}} is set
(B,a,E) . [((B,a,F) . (H₃(g),H₃(o1))),(EqClass (a,(F . (S,o1))))] is set
(B,a,F) . (H₃(S),H₃(o1)) is Element of Class a
[(EqClass (a,S)),(EqClass (a,o1))] is set
{(EqClass (a,S)),(EqClass (a,o1))} is set
{(EqClass (a,S))} is set
{{(EqClass (a,S)),(EqClass (a,o1))},{(EqClass (a,S))}} is set
(B,a,F) . [(EqClass (a,S)),(EqClass (a,o1))] is set
(B,a,E) . (((B,a,F) . (H₃(g),H₃(o1))),((B,a,F) . (H₃(S),H₃(o1)))) is Element of Class a
[((B,a,F) . (H₃(g),H₃(o1))),((B,a,F) . (H₃(S),H₃(o1)))] is set
{((B,a,F) . (H₃(g),H₃(o1))),((B,a,F) . (H₃(S),H₃(o1)))} is set
{{((B,a,F) . (H₃(g),H₃(o1))),((B,a,F) . (H₃(S),H₃(o1)))},{((B,a,F) . (H₃(g),H₃(o1)))}} is set
(B,a,E) . [((B,a,F) . (H₃(g),H₃(o1))),((B,a,F) . (H₃(S),H₃(o1)))] is set
(B,a,E) . ((EqClass (a,g)),(EqClass (a,S))) is Element of Class a
(B,a,F) . (((B,a,E) . ((EqClass (a,g)),(EqClass (a,S)))),(EqClass (a,o1))) is Element of Class a
[((B,a,E) . ((EqClass (a,g)),(EqClass (a,S)))),(EqClass (a,o1))] is set
{((B,a,E) . ((EqClass (a,g)),(EqClass (a,S)))),(EqClass (a,o1))} is set
{((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))} is set
{{((B,a,E) . ((EqClass (a,g)),(EqClass (a,S)))),(EqClass (a,o1))},{((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))}} is set
(B,a,F) . [((B,a,E) . ((EqClass (a,g)),(EqClass (a,S)))),(EqClass (a,o1))] is set
(B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))) is Element of Class a
(B,a,F) . ((EqClass (a,S)),(EqClass (a,o1))) is Element of Class a
(B,a,E) . (((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1)))),((B,a,F) . ((EqClass (a,S)),(EqClass (a,o1))))) is Element of Class a
[((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1)))),((B,a,F) . ((EqClass (a,S)),(EqClass (a,o1))))] is set
{((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1)))),((B,a,F) . ((EqClass (a,S)),(EqClass (a,o1))))} is set
{((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))} is set
{{((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1)))),((B,a,F) . ((EqClass (a,S)),(EqClass (a,o1))))},{((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1))))}} is set
(B,a,E) . [((B,a,F) . ((EqClass (a,g)),(EqClass (a,o1)))),((B,a,F) . ((EqClass (a,S)),(EqClass (a,o1))))] is set
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,F) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
B is non empty set
[:B,B:] is Relation-like non empty set
bool [:B,B:] is non empty set
a is Relation-like B -defined B -valued total V20(B,B) V29() V31() V36() Element of bool [:B,B:]
Class a is non empty V26() a_partition of B
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,F) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
[:(Class a),(Class a):] is Relation-like non empty set
[:[:(Class a),(Class a):],(Class a):] is Relation-like non empty set
bool [:[:(Class a),(Class a):],(Class a):] is non empty set
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) (B,a)
(B,a,E) is Relation-like [:(Class a),(Class a):] -defined Class a -valued Function-like non empty total V20([:(Class a),(Class a):], Class a) Element of bool [:[:(Class a),(Class a):],(Class a):]
bool B is non empty set
g is Element of B
EqClass (a,g) is Element of Class a
S is Element of B
EqClass (a,S) is Element of Class a
(B,a,E) . (H₃(g),H₃(S)) is Element of Class a
[(EqClass (a,g)),(EqClass (a,S))] is set
{(EqClass (a,g)),(EqClass (a,S))} is set
{(EqClass (a,g))} is set
{{(EqClass (a,g)),(EqClass (a,S))},{(EqClass (a,g))}} is set
(B,a,E) . [(EqClass (a,g)),(EqClass (a,S))] is set
(B,a,F) . (H₃(g),((B,a,E) . (H₃(g),H₃(S)))) is Element of Class a
[(EqClass (a,g)),((B,a,E) . (H₃(g),H₃(S)))] is set
{(EqClass (a,g)),((B,a,E) . (H₃(g),H₃(S)))} is set
{{(EqClass (a,g)),((B,a,E) . (H₃(g),H₃(S)))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),((B,a,E) . (H₃(g),H₃(S)))] is set
E . (g,S) is Element of B
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
E . [g,S] is set
EqClass (a,(E . (g,S))) is Element of Class a
(B,a,F) . (H₃(g),H₃(E . (g,S))) is Element of Class a
[(EqClass (a,g)),(EqClass (a,(E . (g,S))))] is set
{(EqClass (a,g)),(EqClass (a,(E . (g,S))))} is set
{{(EqClass (a,g)),(EqClass (a,(E . (g,S))))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),(EqClass (a,(E . (g,S))))] is set
F . (g,(E . (g,S))) is Element of B
[g,(E . (g,S))] is set
{g,(E . (g,S))} is set
{{g,(E . (g,S))},{g}} is set
F . [g,(E . (g,S))] is set
EqClass (a,(F . (g,(E . (g,S))))) is Element of Class a
(B,a,E) . ((EqClass (a,g)),(EqClass (a,S))) is Element of Class a
(B,a,F) . ((EqClass (a,g)),((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))) is Element of Class a
[(EqClass (a,g)),((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))] is set
{(EqClass (a,g)),((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))} is set
{{(EqClass (a,g)),((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))},{(EqClass (a,g))}} is set
(B,a,F) . [(EqClass (a,g)),((B,a,E) . ((EqClass (a,g)),(EqClass (a,S))))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
bool [: the carrier of B, the carrier of B:] is non empty set
E is Element of the carrier of B
g is Element of the carrier of B
[E,g] is Element of [: the carrier of B, the carrier of B:]
{E,g} is set
{E} is set
{{E,g},{E}} is set
S is Element of the carrier of B
o1 is Element of the carrier of B
[S,o1] is Element of [: the carrier of B, the carrier of B:]
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
the L_join of B . (E,S) is Element of the carrier of B
[E,S] is set
{E,S} is set
{{E,S},{E}} is set
the L_join of B . [E,S] is set
the L_join of B . (g,o1) is Element of the carrier of B
[g,o1] is set
{g,o1} is set
{g} is set
{{g,o1},{g}} is set
the L_join of B . [g,o1] is set
[( the L_join of B . (E,S)),( the L_join of B . (g,o1))] is Element of [: the carrier of B, the carrier of B:]
{( the L_join of B . (E,S)),( the L_join of B . (g,o1))} is set
{( the L_join of B . (E,S))} is set
{{( the L_join of B . (E,S)),( the L_join of B . (g,o1))},{( the L_join of B . (E,S))}} is set
S <=> o1 is Element of the carrier of B
S => o1 is Element of the carrier of B
o1 => S is Element of the carrier of B
(S => o1) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . ((S => o1),(o1 => S)) is Element of the carrier of B
[(S => o1),(o1 => S)] is set
{(S => o1),(o1 => S)} is set
{(S => o1)} is set
{{(S => o1),(o1 => S)},{(S => o1)}} is set
the L_meet of B . [(S => o1),(o1 => S)] is set
E => g is Element of the carrier of B
E "/\" (E => g) is Element of the carrier of B
the L_meet of B . (E,(E => g)) is Element of the carrier of B
[E,(E => g)] is set
{E,(E => g)} is set
{{E,(E => g)},{E}} is set
the L_meet of B . [E,(E => g)] is set
(E => g) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . ((E => g),(S => o1)) is Element of the carrier of B
[(E => g),(S => o1)] is set
{(E => g),(S => o1)} is set
{(E => g)} is set
{{(E => g),(S => o1)},{(E => g)}} is set
the L_meet of B . [(E => g),(S => o1)] is set
E "/\" ((E => g) "/\" (S => o1)) is Element of the carrier of B
the L_meet of B . (E,((E => g) "/\" (S => o1))) is Element of the carrier of B
[E,((E => g) "/\" (S => o1))] is set
{E,((E => g) "/\" (S => o1))} is set
{{E,((E => g) "/\" (S => o1))},{E}} is set
the L_meet of B . [E,((E => g) "/\" (S => o1))] is set
(E "/\" (E => g)) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . ((E "/\" (E => g)),(S => o1)) is Element of the carrier of B
[(E "/\" (E => g)),(S => o1)] is set
{(E "/\" (E => g)),(S => o1)} is set
{(E "/\" (E => g))} is set
{{(E "/\" (E => g)),(S => o1)},{(E "/\" (E => g))}} is set
the L_meet of B . [(E "/\" (E => g)),(S => o1)] is set
S "/\" ((E => g) "/\" (S => o1)) is Element of the carrier of B
the L_meet of B . (S,((E => g) "/\" (S => o1))) is Element of the carrier of B
[S,((E => g) "/\" (S => o1))] is set
{S,((E => g) "/\" (S => o1))} is set
{{S,((E => g) "/\" (S => o1))},{S}} is set
the L_meet of B . [S,((E => g) "/\" (S => o1))] is set
S "/\" (E => g) is Element of the carrier of B
the L_meet of B . (S,(E => g)) is Element of the carrier of B
[S,(E => g)] is set
{S,(E => g)} is set
{{S,(E => g)},{S}} is set
the L_meet of B . [S,(E => g)] is set
(S "/\" (E => g)) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . ((S "/\" (E => g)),(S => o1)) is Element of the carrier of B
[(S "/\" (E => g)),(S => o1)] is set
{(S "/\" (E => g)),(S => o1)} is set
{(S "/\" (E => g))} is set
{{(S "/\" (E => g)),(S => o1)},{(S "/\" (E => g))}} is set
the L_meet of B . [(S "/\" (E => g)),(S => o1)] is set
S "/\" (S => o1) is Element of the carrier of B
the L_meet of B . (S,(S => o1)) is Element of the carrier of B
[S,(S => o1)] is set
{S,(S => o1)} is set
{{S,(S => o1)},{S}} is set
the L_meet of B . [S,(S => o1)] is set
(E => g) "/\" (S "/\" (S => o1)) is Element of the carrier of B
the L_meet of B . ((E => g),(S "/\" (S => o1))) is Element of the carrier of B
[(E => g),(S "/\" (S => o1))] is set
{(E => g),(S "/\" (S => o1))} is set
{{(E => g),(S "/\" (S => o1))},{(E => g)}} is set
the L_meet of B . [(E => g),(S "/\" (S => o1))] is set
(E => g) "/\" S is Element of the carrier of B
the L_meet of B . ((E => g),S) is Element of the carrier of B
[(E => g),S] is set
{(E => g),S} is set
{{(E => g),S},{(E => g)}} is set
the L_meet of B . [(E => g),S] is set
((E => g) "/\" S) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . (((E => g) "/\" S),(S => o1)) is Element of the carrier of B
[((E => g) "/\" S),(S => o1)] is set
{((E => g) "/\" S),(S => o1)} is set
{((E => g) "/\" S)} is set
{{((E => g) "/\" S),(S => o1)},{((E => g) "/\" S)}} is set
the L_meet of B . [((E => g) "/\" S),(S => o1)] is set
(E "/\" ((E => g) "/\" (S => o1))) "\/" (S "/\" ((E => g) "/\" (S => o1))) is Element of the carrier of B
the L_join of B . ((E "/\" ((E => g) "/\" (S => o1))),(S "/\" ((E => g) "/\" (S => o1)))) is Element of the carrier of B
[(E "/\" ((E => g) "/\" (S => o1))),(S "/\" ((E => g) "/\" (S => o1)))] is set
{(E "/\" ((E => g) "/\" (S => o1))),(S "/\" ((E => g) "/\" (S => o1)))} is set
{(E "/\" ((E => g) "/\" (S => o1)))} is set
{{(E "/\" ((E => g) "/\" (S => o1))),(S "/\" ((E => g) "/\" (S => o1)))},{(E "/\" ((E => g) "/\" (S => o1)))}} is set
the L_join of B . [(E "/\" ((E => g) "/\" (S => o1))),(S "/\" ((E => g) "/\" (S => o1)))] is set
g "\/" o1 is Element of the carrier of B
E "\/" S is Element of the carrier of B
(E "\/" S) "/\" ((E => g) "/\" (S => o1)) is Element of the carrier of B
the L_meet of B . ((E "\/" S),((E => g) "/\" (S => o1))) is Element of the carrier of B
[(E "\/" S),((E => g) "/\" (S => o1))] is set
{(E "\/" S),((E => g) "/\" (S => o1))} is set
{(E "\/" S)} is set
{{(E "\/" S),((E => g) "/\" (S => o1))},{(E "\/" S)}} is set
the L_meet of B . [(E "\/" S),((E => g) "/\" (S => o1))] is set
(E "\/" S) => (g "\/" o1) is Element of the carrier of B
g => E is Element of the carrier of B
g "/\" (g => E) is Element of the carrier of B
the L_meet of B . (g,(g => E)) is Element of the carrier of B
[g,(g => E)] is set
{g,(g => E)} is set
{{g,(g => E)},{g}} is set
the L_meet of B . [g,(g => E)] is set
(g => E) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . ((g => E),(o1 => S)) is Element of the carrier of B
[(g => E),(o1 => S)] is set
{(g => E),(o1 => S)} is set
{(g => E)} is set
{{(g => E),(o1 => S)},{(g => E)}} is set
the L_meet of B . [(g => E),(o1 => S)] is set
g "/\" ((g => E) "/\" (o1 => S)) is Element of the carrier of B
the L_meet of B . (g,((g => E) "/\" (o1 => S))) is Element of the carrier of B
[g,((g => E) "/\" (o1 => S))] is set
{g,((g => E) "/\" (o1 => S))} is set
{{g,((g => E) "/\" (o1 => S))},{g}} is set
the L_meet of B . [g,((g => E) "/\" (o1 => S))] is set
(g "/\" (g => E)) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . ((g "/\" (g => E)),(o1 => S)) is Element of the carrier of B
[(g "/\" (g => E)),(o1 => S)] is set
{(g "/\" (g => E)),(o1 => S)} is set
{(g "/\" (g => E))} is set
{{(g "/\" (g => E)),(o1 => S)},{(g "/\" (g => E))}} is set
the L_meet of B . [(g "/\" (g => E)),(o1 => S)] is set
o1 "/\" ((g => E) "/\" (o1 => S)) is Element of the carrier of B
the L_meet of B . (o1,((g => E) "/\" (o1 => S))) is Element of the carrier of B
[o1,((g => E) "/\" (o1 => S))] is set
{o1,((g => E) "/\" (o1 => S))} is set
{o1} is set
{{o1,((g => E) "/\" (o1 => S))},{o1}} is set
the L_meet of B . [o1,((g => E) "/\" (o1 => S))] is set
o1 "/\" (g => E) is Element of the carrier of B
the L_meet of B . (o1,(g => E)) is Element of the carrier of B
[o1,(g => E)] is set
{o1,(g => E)} is set
{{o1,(g => E)},{o1}} is set
the L_meet of B . [o1,(g => E)] is set
(o1 "/\" (g => E)) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . ((o1 "/\" (g => E)),(o1 => S)) is Element of the carrier of B
[(o1 "/\" (g => E)),(o1 => S)] is set
{(o1 "/\" (g => E)),(o1 => S)} is set
{(o1 "/\" (g => E))} is set
{{(o1 "/\" (g => E)),(o1 => S)},{(o1 "/\" (g => E))}} is set
the L_meet of B . [(o1 "/\" (g => E)),(o1 => S)] is set
o1 "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . (o1,(o1 => S)) is Element of the carrier of B
[o1,(o1 => S)] is set
{o1,(o1 => S)} is set
{{o1,(o1 => S)},{o1}} is set
the L_meet of B . [o1,(o1 => S)] is set
(g => E) "/\" (o1 "/\" (o1 => S)) is Element of the carrier of B
the L_meet of B . ((g => E),(o1 "/\" (o1 => S))) is Element of the carrier of B
[(g => E),(o1 "/\" (o1 => S))] is set
{(g => E),(o1 "/\" (o1 => S))} is set
{{(g => E),(o1 "/\" (o1 => S))},{(g => E)}} is set
the L_meet of B . [(g => E),(o1 "/\" (o1 => S))] is set
(g => E) "/\" o1 is Element of the carrier of B
the L_meet of B . ((g => E),o1) is Element of the carrier of B
[(g => E),o1] is set
{(g => E),o1} is set
{{(g => E),o1},{(g => E)}} is set
the L_meet of B . [(g => E),o1] is set
((g => E) "/\" o1) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . (((g => E) "/\" o1),(o1 => S)) is Element of the carrier of B
[((g => E) "/\" o1),(o1 => S)] is set
{((g => E) "/\" o1),(o1 => S)} is set
{((g => E) "/\" o1)} is set
{{((g => E) "/\" o1),(o1 => S)},{((g => E) "/\" o1)}} is set
the L_meet of B . [((g => E) "/\" o1),(o1 => S)] is set
(g "/\" ((g => E) "/\" (o1 => S))) "\/" (o1 "/\" ((g => E) "/\" (o1 => S))) is Element of the carrier of B
the L_join of B . ((g "/\" ((g => E) "/\" (o1 => S))),(o1 "/\" ((g => E) "/\" (o1 => S)))) is Element of the carrier of B
[(g "/\" ((g => E) "/\" (o1 => S))),(o1 "/\" ((g => E) "/\" (o1 => S)))] is set
{(g "/\" ((g => E) "/\" (o1 => S))),(o1 "/\" ((g => E) "/\" (o1 => S)))} is set
{(g "/\" ((g => E) "/\" (o1 => S)))} is set
{{(g "/\" ((g => E) "/\" (o1 => S))),(o1 "/\" ((g => E) "/\" (o1 => S)))},{(g "/\" ((g => E) "/\" (o1 => S)))}} is set
the L_join of B . [(g "/\" ((g => E) "/\" (o1 => S))),(o1 "/\" ((g => E) "/\" (o1 => S)))] is set
(g "\/" o1) "/\" ((g => E) "/\" (o1 => S)) is Element of the carrier of B
the L_meet of B . ((g "\/" o1),((g => E) "/\" (o1 => S))) is Element of the carrier of B
[(g "\/" o1),((g => E) "/\" (o1 => S))] is set
{(g "\/" o1),((g => E) "/\" (o1 => S))} is set
{(g "\/" o1)} is set
{{(g "\/" o1),((g => E) "/\" (o1 => S))},{(g "\/" o1)}} is set
the L_meet of B . [(g "\/" o1),((g => E) "/\" (o1 => S))] is set
(g "\/" o1) => (E "\/" S) is Element of the carrier of B
E <=> g is Element of the carrier of B
(E => g) "/\" (g => E) is Element of the carrier of B
the L_meet of B . ((E => g),(g => E)) is Element of the carrier of B
[(E => g),(g => E)] is set
{(E => g),(g => E)} is set
{{(E => g),(g => E)},{(E => g)}} is set
the L_meet of B . [(E => g),(g => E)] is set
(E "\/" S) <=> (g "\/" o1) is Element of the carrier of B
((E "\/" S) => (g "\/" o1)) "/\" ((g "\/" o1) => (E "\/" S)) is Element of the carrier of B
the L_meet of B . (((E "\/" S) => (g "\/" o1)),((g "\/" o1) => (E "\/" S))) is Element of the carrier of B
[((E "\/" S) => (g "\/" o1)),((g "\/" o1) => (E "\/" S))] is set
{((E "\/" S) => (g "\/" o1)),((g "\/" o1) => (E "\/" S))} is set
{((E "\/" S) => (g "\/" o1))} is set
{{((E "\/" S) => (g "\/" o1)),((g "\/" o1) => (E "\/" S))},{((E "\/" S) => (g "\/" o1))}} is set
the L_meet of B . [((E "\/" S) => (g "\/" o1)),((g "\/" o1) => (E "\/" S))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
bool [: the carrier of B, the carrier of B:] is non empty set
E is Element of the carrier of B
g is Element of the carrier of B
[E,g] is Element of [: the carrier of B, the carrier of B:]
{E,g} is set
{E} is set
{{E,g},{E}} is set
S is Element of the carrier of B
o1 is Element of the carrier of B
[S,o1] is Element of [: the carrier of B, the carrier of B:]
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
the L_meet of B . (E,S) is Element of the carrier of B
[E,S] is set
{E,S} is set
{{E,S},{E}} is set
the L_meet of B . [E,S] is set
the L_meet of B . (g,o1) is Element of the carrier of B
[g,o1] is set
{g,o1} is set
{g} is set
{{g,o1},{g}} is set
the L_meet of B . [g,o1] is set
[( the L_meet of B . (E,S)),( the L_meet of B . (g,o1))] is Element of [: the carrier of B, the carrier of B:]
{( the L_meet of B . (E,S)),( the L_meet of B . (g,o1))} is set
{( the L_meet of B . (E,S))} is set
{{( the L_meet of B . (E,S)),( the L_meet of B . (g,o1))},{( the L_meet of B . (E,S))}} is set
S <=> o1 is Element of the carrier of B
S => o1 is Element of the carrier of B
o1 => S is Element of the carrier of B
(S => o1) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . ((S => o1),(o1 => S)) is Element of the carrier of B
[(S => o1),(o1 => S)] is set
{(S => o1),(o1 => S)} is set
{(S => o1)} is set
{{(S => o1),(o1 => S)},{(S => o1)}} is set
the L_meet of B . [(S => o1),(o1 => S)] is set
E <=> g is Element of the carrier of B
E => g is Element of the carrier of B
g => E is Element of the carrier of B
(E => g) "/\" (g => E) is Element of the carrier of B
the L_meet of B . ((E => g),(g => E)) is Element of the carrier of B
[(E => g),(g => E)] is set
{(E => g),(g => E)} is set
{(E => g)} is set
{{(E => g),(g => E)},{(E => g)}} is set
the L_meet of B . [(E => g),(g => E)] is set
(E => g) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . ((E => g),(S => o1)) is Element of the carrier of B
[(E => g),(S => o1)] is set
{(E => g),(S => o1)} is set
{{(E => g),(S => o1)},{(E => g)}} is set
the L_meet of B . [(E => g),(S => o1)] is set
o1 "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . (o1,(o1 => S)) is Element of the carrier of B
[o1,(o1 => S)] is set
{o1,(o1 => S)} is set
{o1} is set
{{o1,(o1 => S)},{o1}} is set
the L_meet of B . [o1,(o1 => S)] is set
g "/\" (g => E) is Element of the carrier of B
the L_meet of B . (g,(g => E)) is Element of the carrier of B
[g,(g => E)] is set
{g,(g => E)} is set
{{g,(g => E)},{g}} is set
the L_meet of B . [g,(g => E)] is set
(g "/\" (g => E)) "/\" (o1 "/\" (o1 => S)) is Element of the carrier of B
the L_meet of B . ((g "/\" (g => E)),(o1 "/\" (o1 => S))) is Element of the carrier of B
[(g "/\" (g => E)),(o1 "/\" (o1 => S))] is set
{(g "/\" (g => E)),(o1 "/\" (o1 => S))} is set
{(g "/\" (g => E))} is set
{{(g "/\" (g => E)),(o1 "/\" (o1 => S))},{(g "/\" (g => E))}} is set
the L_meet of B . [(g "/\" (g => E)),(o1 "/\" (o1 => S))] is set
E "/\" S is Element of the carrier of B
(E "/\" S) "/\" (E => g) is Element of the carrier of B
the L_meet of B . ((E "/\" S),(E => g)) is Element of the carrier of B
[(E "/\" S),(E => g)] is set
{(E "/\" S),(E => g)} is set
{(E "/\" S)} is set
{{(E "/\" S),(E => g)},{(E "/\" S)}} is set
the L_meet of B . [(E "/\" S),(E => g)] is set
((E "/\" S) "/\" (E => g)) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . (((E "/\" S) "/\" (E => g)),(S => o1)) is Element of the carrier of B
[((E "/\" S) "/\" (E => g)),(S => o1)] is set
{((E "/\" S) "/\" (E => g)),(S => o1)} is set
{((E "/\" S) "/\" (E => g))} is set
{{((E "/\" S) "/\" (E => g)),(S => o1)},{((E "/\" S) "/\" (E => g))}} is set
the L_meet of B . [((E "/\" S) "/\" (E => g)),(S => o1)] is set
(E "/\" S) "/\" ((E => g) "/\" (S => o1)) is Element of the carrier of B
the L_meet of B . ((E "/\" S),((E => g) "/\" (S => o1))) is Element of the carrier of B
[(E "/\" S),((E => g) "/\" (S => o1))] is set
{(E "/\" S),((E => g) "/\" (S => o1))} is set
{{(E "/\" S),((E => g) "/\" (S => o1))},{(E "/\" S)}} is set
the L_meet of B . [(E "/\" S),((E => g) "/\" (S => o1))] is set
S "/\" (S => o1) is Element of the carrier of B
the L_meet of B . (S,(S => o1)) is Element of the carrier of B
[S,(S => o1)] is set
{S,(S => o1)} is set
{{S,(S => o1)},{S}} is set
the L_meet of B . [S,(S => o1)] is set
E "/\" (E => g) is Element of the carrier of B
the L_meet of B . (E,(E => g)) is Element of the carrier of B
[E,(E => g)] is set
{E,(E => g)} is set
{{E,(E => g)},{E}} is set
the L_meet of B . [E,(E => g)] is set
(E "/\" (E => g)) "/\" (S "/\" (S => o1)) is Element of the carrier of B
the L_meet of B . ((E "/\" (E => g)),(S "/\" (S => o1))) is Element of the carrier of B
[(E "/\" (E => g)),(S "/\" (S => o1))] is set
{(E "/\" (E => g)),(S "/\" (S => o1))} is set
{(E "/\" (E => g))} is set
{{(E "/\" (E => g)),(S "/\" (S => o1))},{(E "/\" (E => g))}} is set
the L_meet of B . [(E "/\" (E => g)),(S "/\" (S => o1))] is set
g "/\" o1 is Element of the carrier of B
S "/\" E is Element of the carrier of B
the L_meet of B . (S,E) is Element of the carrier of B
[S,E] is set
{S,E} is set
{{S,E},{S}} is set
the L_meet of B . [S,E] is set
(S "/\" E) "/\" (E => g) is Element of the carrier of B
the L_meet of B . ((S "/\" E),(E => g)) is Element of the carrier of B
[(S "/\" E),(E => g)] is set
{(S "/\" E),(E => g)} is set
{(S "/\" E)} is set
{{(S "/\" E),(E => g)},{(S "/\" E)}} is set
the L_meet of B . [(S "/\" E),(E => g)] is set
S "/\" (E "/\" (E => g)) is Element of the carrier of B
the L_meet of B . (S,(E "/\" (E => g))) is Element of the carrier of B
[S,(E "/\" (E => g))] is set
{S,(E "/\" (E => g))} is set
{{S,(E "/\" (E => g))},{S}} is set
the L_meet of B . [S,(E "/\" (E => g))] is set
o1 "/\" g is Element of the carrier of B
the L_meet of B . (o1,g) is Element of the carrier of B
[o1,g] is set
{o1,g} is set
{{o1,g},{o1}} is set
the L_meet of B . [o1,g] is set
(o1 "/\" g) "/\" (g => E) is Element of the carrier of B
the L_meet of B . ((o1 "/\" g),(g => E)) is Element of the carrier of B
[(o1 "/\" g),(g => E)] is set
{(o1 "/\" g),(g => E)} is set
{(o1 "/\" g)} is set
{{(o1 "/\" g),(g => E)},{(o1 "/\" g)}} is set
the L_meet of B . [(o1 "/\" g),(g => E)] is set
o1 "/\" (g "/\" (g => E)) is Element of the carrier of B
the L_meet of B . (o1,(g "/\" (g => E))) is Element of the carrier of B
[o1,(g "/\" (g => E))] is set
{o1,(g "/\" (g => E))} is set
{{o1,(g "/\" (g => E))},{o1}} is set
the L_meet of B . [o1,(g "/\" (g => E))] is set
(g => E) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . ((g => E),(o1 => S)) is Element of the carrier of B
[(g => E),(o1 => S)] is set
{(g => E),(o1 => S)} is set
{(g => E)} is set
{{(g => E),(o1 => S)},{(g => E)}} is set
the L_meet of B . [(g => E),(o1 => S)] is set
(g "/\" o1) "/\" (g => E) is Element of the carrier of B
the L_meet of B . ((g "/\" o1),(g => E)) is Element of the carrier of B
[(g "/\" o1),(g => E)] is set
{(g "/\" o1),(g => E)} is set
{(g "/\" o1)} is set
{{(g "/\" o1),(g => E)},{(g "/\" o1)}} is set
the L_meet of B . [(g "/\" o1),(g => E)] is set
((g "/\" o1) "/\" (g => E)) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . (((g "/\" o1) "/\" (g => E)),(o1 => S)) is Element of the carrier of B
[((g "/\" o1) "/\" (g => E)),(o1 => S)] is set
{((g "/\" o1) "/\" (g => E)),(o1 => S)} is set
{((g "/\" o1) "/\" (g => E))} is set
{{((g "/\" o1) "/\" (g => E)),(o1 => S)},{((g "/\" o1) "/\" (g => E))}} is set
the L_meet of B . [((g "/\" o1) "/\" (g => E)),(o1 => S)] is set
(g "/\" o1) "/\" ((g => E) "/\" (o1 => S)) is Element of the carrier of B
the L_meet of B . ((g "/\" o1),((g => E) "/\" (o1 => S))) is Element of the carrier of B
[(g "/\" o1),((g => E) "/\" (o1 => S))] is set
{(g "/\" o1),((g => E) "/\" (o1 => S))} is set
{{(g "/\" o1),((g => E) "/\" (o1 => S))},{(g "/\" o1)}} is set
the L_meet of B . [(g "/\" o1),((g => E) "/\" (o1 => S))] is set
(g "/\" (g => E)) "/\" o1 is Element of the carrier of B
the L_meet of B . ((g "/\" (g => E)),o1) is Element of the carrier of B
[(g "/\" (g => E)),o1] is set
{(g "/\" (g => E)),o1} is set
{{(g "/\" (g => E)),o1},{(g "/\" (g => E))}} is set
the L_meet of B . [(g "/\" (g => E)),o1] is set
((g "/\" (g => E)) "/\" o1) "/\" (o1 => S) is Element of the carrier of B
the L_meet of B . (((g "/\" (g => E)) "/\" o1),(o1 => S)) is Element of the carrier of B
[((g "/\" (g => E)) "/\" o1),(o1 => S)] is set
{((g "/\" (g => E)) "/\" o1),(o1 => S)} is set
{((g "/\" (g => E)) "/\" o1)} is set
{{((g "/\" (g => E)) "/\" o1),(o1 => S)},{((g "/\" (g => E)) "/\" o1)}} is set
the L_meet of B . [((g "/\" (g => E)) "/\" o1),(o1 => S)] is set
(g "/\" o1) => (E "/\" S) is Element of the carrier of B
(E "/\" (E => g)) "/\" S is Element of the carrier of B
the L_meet of B . ((E "/\" (E => g)),S) is Element of the carrier of B
[(E "/\" (E => g)),S] is set
{(E "/\" (E => g)),S} is set
{{(E "/\" (E => g)),S},{(E "/\" (E => g))}} is set
the L_meet of B . [(E "/\" (E => g)),S] is set
((E "/\" (E => g)) "/\" S) "/\" (S => o1) is Element of the carrier of B
the L_meet of B . (((E "/\" (E => g)) "/\" S),(S => o1)) is Element of the carrier of B
[((E "/\" (E => g)) "/\" S),(S => o1)] is set
{((E "/\" (E => g)) "/\" S),(S => o1)} is set
{((E "/\" (E => g)) "/\" S)} is set
{{((E "/\" (E => g)) "/\" S),(S => o1)},{((E "/\" (E => g)) "/\" S)}} is set
the L_meet of B . [((E "/\" (E => g)) "/\" S),(S => o1)] is set
(E "/\" S) => (g "/\" o1) is Element of the carrier of B
(E "/\" S) <=> (g "/\" o1) is Element of the carrier of B
((E "/\" S) => (g "/\" o1)) "/\" ((g "/\" o1) => (E "/\" S)) is Element of the carrier of B
the L_meet of B . (((E "/\" S) => (g "/\" o1)),((g "/\" o1) => (E "/\" S))) is Element of the carrier of B
[((E "/\" S) => (g "/\" o1)),((g "/\" o1) => (E "/\" S))] is set
{((E "/\" S) => (g "/\" o1)),((g "/\" o1) => (E "/\" S))} is set
{((E "/\" S) => (g "/\" o1))} is set
{{((E "/\" S) => (g "/\" o1)),((g "/\" o1) => (E "/\" S))},{((E "/\" S) => (g "/\" o1))}} is set
the L_meet of B . [((E "/\" S) => (g "/\" o1)),((g "/\" o1) => (E "/\" S))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
equivalence_wrt a is Relation-like set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of F is non empty set
bool the carrier of F is non empty set
[: the carrier of F, the carrier of F:] is Relation-like non empty set
E is non empty final meet-closed join-closed Element of bool the carrier of F
equivalence_wrt E is Relation-like the carrier of F -defined the carrier of F -valued total V20( the carrier of F, the carrier of F) V29() V31() V36() Element of bool [: the carrier of F, the carrier of F:]
bool [: the carrier of F, the carrier of F:] is non empty set
the L_join of F is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) commutative associative idempotent Element of bool [:[: the carrier of F, the carrier of F:], the carrier of F:]
[:[: the carrier of F, the carrier of F:], the carrier of F:] is Relation-like non empty set
bool [:[: the carrier of F, the carrier of F:], the carrier of F:] is non empty set
the L_meet of F is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) commutative associative idempotent Element of bool [:[: the carrier of F, the carrier of F:], the carrier of F:]
Class (equivalence_wrt E) is non empty V26() a_partition of the carrier of F
g is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) ( the carrier of F, equivalence_wrt E)
( the carrier of F,(equivalence_wrt E),g) is Relation-like [:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):] -defined Class (equivalence_wrt E) -valued Function-like non empty total V20([:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):], Class (equivalence_wrt E)) Element of bool [:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):]
[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):] is non empty set
S is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) ( the carrier of F, equivalence_wrt E)
( the carrier of F,(equivalence_wrt E),S) is Relation-like [:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):] -defined Class (equivalence_wrt E) -valued Function-like non empty total V20([:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):], Class (equivalence_wrt E)) Element of bool [:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):]
LattStr(# (Class (equivalence_wrt E)),( the carrier of F,(equivalence_wrt E),g),( the carrier of F,(equivalence_wrt E),S) #) is non empty strict LattStr
o1 is non empty strict LattStr
the carrier of o1 is non empty set
the L_join of o1 is Relation-like [: the carrier of o1, the carrier of o1:] -defined the carrier of o1 -valued Function-like non empty total V20([: the carrier of o1, the carrier of o1:], the carrier of o1) Element of bool [:[: the carrier of o1, the carrier of o1:], the carrier of o1:]
[: the carrier of o1, the carrier of o1:] is Relation-like non empty set
[:[: the carrier of o1, the carrier of o1:], the carrier of o1:] is Relation-like non empty set
bool [:[: the carrier of o1, the carrier of o1:], the carrier of o1:] is non empty set
the L_meet of o1 is Relation-like [: the carrier of o1, the carrier of o1:] -defined the carrier of o1 -valued Function-like non empty total V20([: the carrier of o1, the carrier of o1:], the carrier of o1) Element of bool [:[: the carrier of o1, the carrier of o1:], the carrier of o1:]
o2 is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
R is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
Class R is non empty V26() a_partition of the carrier of B
( the carrier of B,R, the L_join of B) is Relation-like [:(Class R),(Class R):] -defined Class R -valued Function-like non empty total V20([:(Class R),(Class R):], Class R) Element of bool [:[:(Class R),(Class R):],(Class R):]
[:(Class R),(Class R):] is Relation-like non empty set
[:[:(Class R),(Class R):],(Class R):] is Relation-like non empty set
bool [:[:(Class R),(Class R):],(Class R):] is non empty set
( the carrier of B,R, the L_meet of B) is Relation-like [:(Class R),(Class R):] -defined Class R -valued Function-like non empty total V20([:(Class R),(Class R):], Class R) Element of bool [:[:(Class R),(Class R):],(Class R):]
LattStr(# (Class R),( the carrier of B,R, the L_join of B),( the carrier of B,R, the L_meet of B) #) is non empty strict LattStr
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of F is non empty set
bool the carrier of F is non empty set
E is non empty final meet-closed join-closed Element of bool the carrier of F
equivalence_wrt E is Relation-like the carrier of F -defined the carrier of F -valued total V20( the carrier of F, the carrier of F) V29() V31() V36() Element of bool [: the carrier of F, the carrier of F:]
[: the carrier of F, the carrier of F:] is Relation-like non empty set
bool [: the carrier of F, the carrier of F:] is non empty set
o2 is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
R is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
Class (equivalence_wrt E) is non empty V26() a_partition of the carrier of F
S is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) ( the carrier of F, equivalence_wrt E)
( the carrier of F,(equivalence_wrt E),S) is Relation-like [:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):] -defined Class (equivalence_wrt E) -valued Function-like non empty total V20([:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):], Class (equivalence_wrt E)) Element of bool [:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):]
[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):] is non empty set
o1 is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) ( the carrier of F, equivalence_wrt E)
( the carrier of F,(equivalence_wrt E),o1) is Relation-like [:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):] -defined Class (equivalence_wrt E) -valued Function-like non empty total V20([:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):], Class (equivalence_wrt E)) Element of bool [:[:(Class (equivalence_wrt E)),(Class (equivalence_wrt E)):],(Class (equivalence_wrt E)):]
LattStr(# (Class (equivalence_wrt E)),( the carrier of F,(equivalence_wrt E),S),( the carrier of F,(equivalence_wrt E),o1) #) is non empty strict LattStr
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of (B,a) is non empty set
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
equivalence_wrt a is Relation-like set
F is Element of the carrier of B
E is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of E is non empty set
bool the carrier of E is non empty set
g is non empty final meet-closed join-closed Element of bool the carrier of E
equivalence_wrt g is Relation-like the carrier of E -defined the carrier of E -valued total V20( the carrier of E, the carrier of E) V29() V31() V36() Element of bool [: the carrier of E, the carrier of E:]
[: the carrier of E, the carrier of E:] is Relation-like non empty set
bool [: the carrier of E, the carrier of E:] is non empty set
the L_join of E is Relation-like [: the carrier of E, the carrier of E:] -defined the carrier of E -valued Function-like non empty total V20([: the carrier of E, the carrier of E:], the carrier of E) commutative associative idempotent Element of bool [:[: the carrier of E, the carrier of E:], the carrier of E:]
[:[: the carrier of E, the carrier of E:], the carrier of E:] is Relation-like non empty set
bool [:[: the carrier of E, the carrier of E:], the carrier of E:] is non empty set
the L_meet of E is Relation-like [: the carrier of E, the carrier of E:] -defined the carrier of E -valued Function-like non empty total V20([: the carrier of E, the carrier of E:], the carrier of E) commutative associative idempotent Element of bool [:[: the carrier of E, the carrier of E:], the carrier of E:]
(E,g) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
Class (equivalence_wrt g) is non empty V26() a_partition of the carrier of E
o1 is Relation-like [: the carrier of E, the carrier of E:] -defined the carrier of E -valued Function-like non empty total V20([: the carrier of E, the carrier of E:], the carrier of E) ( the carrier of E, equivalence_wrt g)
( the carrier of E,(equivalence_wrt g),o1) is Relation-like [:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):] -defined Class (equivalence_wrt g) -valued Function-like non empty total V20([:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):], Class (equivalence_wrt g)) Element of bool [:[:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):],(Class (equivalence_wrt g)):]
[:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):],(Class (equivalence_wrt g)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):],(Class (equivalence_wrt g)):] is non empty set
o2 is Relation-like [: the carrier of E, the carrier of E:] -defined the carrier of E -valued Function-like non empty total V20([: the carrier of E, the carrier of E:], the carrier of E) ( the carrier of E, equivalence_wrt g)
( the carrier of E,(equivalence_wrt g),o2) is Relation-like [:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):] -defined Class (equivalence_wrt g) -valued Function-like non empty total V20([:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):], Class (equivalence_wrt g)) Element of bool [:[:(Class (equivalence_wrt g)),(Class (equivalence_wrt g)):],(Class (equivalence_wrt g)):]
LattStr(# (Class (equivalence_wrt g)),( the carrier of E,(equivalence_wrt g),o1),( the carrier of E,(equivalence_wrt g),o2) #) is non empty strict LattStr
R is Element of the carrier of E
EqClass ((equivalence_wrt g),R) is Element of Class (equivalence_wrt g)
h is Element of the carrier of (B,a)
f is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
Class (f,F) is Element of bool the carrier of B
g is Element of the carrier of (B,a)
S is Element of the carrier of (B,a)
E is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of E is non empty set
bool the carrier of E is non empty set
o1 is non empty final meet-closed join-closed Element of bool the carrier of E
equivalence_wrt o1 is Relation-like the carrier of E -defined the carrier of E -valued total V20( the carrier of E, the carrier of E) V29() V31() V36() Element of bool [: the carrier of E, the carrier of E:]
[: the carrier of E, the carrier of E:] is Relation-like non empty set
bool [: the carrier of E, the carrier of E:] is non empty set
Class ((equivalence_wrt o1),F) is Element of bool the carrier of E
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
F is Element of the carrier of B
(B,a,F) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
E is Element of the carrier of B
(B,a,E) is Element of the carrier of (B,a)
(B,a,F) "\/" (B,a,E) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F),(B,a,E)) is Element of the carrier of (B,a)
[(B,a,F),(B,a,E)] is set
{(B,a,F),(B,a,E)} is set
{(B,a,F)} is set
{{(B,a,F),(B,a,E)},{(B,a,F)}} is set
the L_join of (B,a) . [(B,a,F),(B,a,E)] is set
F "\/" E is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
(B,a,(F "\/" E)) is Element of the carrier of (B,a)
(B,a,F) "/\" (B,a,E) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
the L_meet of (B,a) . ((B,a,F),(B,a,E)) is Element of the carrier of (B,a)
the L_meet of (B,a) . [(B,a,F),(B,a,E)] is set
F "/\" E is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (F,E) is Element of the carrier of B
the L_meet of B . [F,E] is set
(B,a,(F "/\" E)) is Element of the carrier of (B,a)
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
bool [: the carrier of B, the carrier of B:] is non empty set
Class ((equivalence_wrt a),E) is Element of bool the carrier of B
Class ((equivalence_wrt a),F) is Element of bool the carrier of B
Class (equivalence_wrt a) is non empty V26() a_partition of the carrier of B
S is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) ( the carrier of B, equivalence_wrt a)
( the carrier of B,(equivalence_wrt a),S) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is non empty set
o1 is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) ( the carrier of B, equivalence_wrt a)
( the carrier of B,(equivalence_wrt a),o1) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
LattStr(# (Class (equivalence_wrt a)),( the carrier of B,(equivalence_wrt a),S),( the carrier of B,(equivalence_wrt a),o1) #) is non empty strict LattStr
Class ((equivalence_wrt a),(F "\/" E)) is Element of bool the carrier of B
Class ((equivalence_wrt a),(F "/\" E)) is Element of bool the carrier of B
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
F is Element of the carrier of B
(B,a,F) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
E is Element of the carrier of B
(B,a,E) is Element of the carrier of (B,a)
F => E is Element of the carrier of B
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
F "\/" E is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
(F "\/" E) => E is Element of the carrier of B
E "/\" (F => E) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (E,(F => E)) is Element of the carrier of B
[E,(F => E)] is set
{E,(F => E)} is set
{E} is set
{{E,(F => E)},{E}} is set
the L_meet of B . [E,(F => E)] is set
E "\/" E is Element of the carrier of B
the L_join of B . (E,E) is Element of the carrier of B
[E,E] is set
{E,E} is set
{{E,E},{E}} is set
the L_join of B . [E,E] is set
(B,a,F) "\/" (B,a,E) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F),(B,a,E)) is Element of the carrier of (B,a)
[(B,a,F),(B,a,E)] is set
{(B,a,F),(B,a,E)} is set
{(B,a,F)} is set
{{(B,a,F),(B,a,E)},{(B,a,F)}} is set
the L_join of (B,a) . [(B,a,F),(B,a,E)] is set
(B,a,(F "\/" E)) is Element of the carrier of (B,a)
Class ((equivalence_wrt a),(F "\/" E)) is Element of bool the carrier of B
F "/\" ((F "\/" E) => E) is Element of the carrier of B
the L_meet of B . (F,((F "\/" E) => E)) is Element of the carrier of B
[F,((F "\/" E) => E)] is set
{F,((F "\/" E) => E)} is set
{{F,((F "\/" E) => E)},{F}} is set
the L_meet of B . [F,((F "\/" E) => E)] is set
E "/\" ((F "\/" E) => E) is Element of the carrier of B
the L_meet of B . (E,((F "\/" E) => E)) is Element of the carrier of B
[E,((F "\/" E) => E)] is set
{E,((F "\/" E) => E)} is set
{{E,((F "\/" E) => E)},{E}} is set
the L_meet of B . [E,((F "\/" E) => E)] is set
(F "/\" ((F "\/" E) => E)) "\/" (E "/\" ((F "\/" E) => E)) is Element of the carrier of B
the L_join of B . ((F "/\" ((F "\/" E) => E)),(E "/\" ((F "\/" E) => E))) is Element of the carrier of B
[(F "/\" ((F "\/" E) => E)),(E "/\" ((F "\/" E) => E))] is set
{(F "/\" ((F "\/" E) => E)),(E "/\" ((F "\/" E) => E))} is set
{(F "/\" ((F "\/" E) => E))} is set
{{(F "/\" ((F "\/" E) => E)),(E "/\" ((F "\/" E) => E))},{(F "/\" ((F "\/" E) => E))}} is set
the L_join of B . [(F "/\" ((F "\/" E) => E)),(E "/\" ((F "\/" E) => E))] is set
Class ((equivalence_wrt a),E) is Element of bool the carrier of B
[(F "\/" E),E] is Element of [: the carrier of B, the carrier of B:]
{(F "\/" E),E} is set
{(F "\/" E)} is set
{{(F "\/" E),E},{(F "\/" E)}} is set
(F "\/" E) <=> E is Element of the carrier of B
E => (F "\/" E) is Element of the carrier of B
((F "\/" E) => E) "/\" (E => (F "\/" E)) is Element of the carrier of B
the L_meet of B . (((F "\/" E) => E),(E => (F "\/" E))) is Element of the carrier of B
[((F "\/" E) => E),(E => (F "\/" E))] is set
{((F "\/" E) => E),(E => (F "\/" E))} is set
{((F "\/" E) => E)} is set
{{((F "\/" E) => E),(E => (F "\/" E))},{((F "\/" E) => E)}} is set
the L_meet of B . [((F "\/" E) => E),(E => (F "\/" E))] is set
(F "\/" E) "/\" ((F "\/" E) => E) is Element of the carrier of B
the L_meet of B . ((F "\/" E),((F "\/" E) => E)) is Element of the carrier of B
[(F "\/" E),((F "\/" E) => E)] is set
{(F "\/" E),((F "\/" E) => E)} is set
{{(F "\/" E),((F "\/" E) => E)},{(F "\/" E)}} is set
the L_meet of B . [(F "\/" E),((F "\/" E) => E)] is set
Top B is Element of the carrier of B
E "/\" (Top B) is Element of the carrier of B
the L_meet of B . (E,(Top B)) is Element of the carrier of B
[E,(Top B)] is set
{E,(Top B)} is set
{{E,(Top B)},{E}} is set
the L_meet of B . [E,(Top B)] is set
E => (F "\/" E) is Element of the carrier of B
F "/\" (F => E) is Element of the carrier of B
the L_meet of B . (F,(F => E)) is Element of the carrier of B
[F,(F => E)] is set
{F,(F => E)} is set
{{F,(F => E)},{F}} is set
the L_meet of B . [F,(F => E)] is set
(F "/\" (F => E)) "\/" (E "/\" (F => E)) is Element of the carrier of B
the L_join of B . ((F "/\" (F => E)),(E "/\" (F => E))) is Element of the carrier of B
[(F "/\" (F => E)),(E "/\" (F => E))] is set
{(F "/\" (F => E)),(E "/\" (F => E))} is set
{(F "/\" (F => E))} is set
{{(F "/\" (F => E)),(E "/\" (F => E))},{(F "/\" (F => E))}} is set
the L_join of B . [(F "/\" (F => E)),(E "/\" (F => E))] is set
(F "\/" E) "/\" (F => E) is Element of the carrier of B
the L_meet of B . ((F "\/" E),(F => E)) is Element of the carrier of B
[(F "\/" E),(F => E)] is set
{(F "\/" E),(F => E)} is set
{(F "\/" E)} is set
{{(F "\/" E),(F => E)},{(F "\/" E)}} is set
the L_meet of B . [(F "\/" E),(F => E)] is set
(F "\/" E) <=> E is Element of the carrier of B
((F "\/" E) => E) "/\" (E => (F "\/" E)) is Element of the carrier of B
the L_meet of B . (((F "\/" E) => E),(E => (F "\/" E))) is Element of the carrier of B
[((F "\/" E) => E),(E => (F "\/" E))] is set
{((F "\/" E) => E),(E => (F "\/" E))} is set
{((F "\/" E) => E)} is set
{{((F "\/" E) => E),(E => (F "\/" E))},{((F "\/" E) => E)}} is set
the L_meet of B . [((F "\/" E) => E),(E => (F "\/" E))] is set
[(F "\/" E),E] is Element of [: the carrier of B, the carrier of B:]
{(F "\/" E),E} is set
{{(F "\/" E),E},{(F "\/" E)}} is set
(B,a,F) "\/" (B,a,E) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F),(B,a,E)) is Element of the carrier of (B,a)
[(B,a,F),(B,a,E)] is set
{(B,a,F),(B,a,E)} is set
{(B,a,F)} is set
{{(B,a,F),(B,a,E)},{(B,a,F)}} is set
the L_join of (B,a) . [(B,a,F),(B,a,E)] is set
(B,a,(F "\/" E)) is Element of the carrier of (B,a)
Class ((equivalence_wrt a),(F "\/" E)) is Element of bool the carrier of B
Class ((equivalence_wrt a),E) is Element of bool the carrier of B
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a "/\" F is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . (a,F) is Element of the carrier of B
[a,F] is set
{a,F} is set
{a} is set
{{a,F},{a}} is set
the L_meet of B . [a,F] is set
E is Element of the carrier of B
(a "/\" F) => E is Element of the carrier of B
F => E is Element of the carrier of B
a => (F => E) is Element of the carrier of B
F "/\" a is Element of the carrier of B
the L_meet of B . (F,a) is Element of the carrier of B
[F,a] is set
{F,a} is set
{F} is set
{{F,a},{F}} is set
the L_meet of B . [F,a] is set
(F "/\" a) "/\" ((a "/\" F) => E) is Element of the carrier of B
the L_meet of B . ((F "/\" a),((a "/\" F) => E)) is Element of the carrier of B
[(F "/\" a),((a "/\" F) => E)] is set
{(F "/\" a),((a "/\" F) => E)} is set
{(F "/\" a)} is set
{{(F "/\" a),((a "/\" F) => E)},{(F "/\" a)}} is set
the L_meet of B . [(F "/\" a),((a "/\" F) => E)] is set
a "/\" ((a "/\" F) => E) is Element of the carrier of B
the L_meet of B . (a,((a "/\" F) => E)) is Element of the carrier of B
[a,((a "/\" F) => E)] is set
{a,((a "/\" F) => E)} is set
{{a,((a "/\" F) => E)},{a}} is set
the L_meet of B . [a,((a "/\" F) => E)] is set
F "/\" (a "/\" ((a "/\" F) => E)) is Element of the carrier of B
the L_meet of B . (F,(a "/\" ((a "/\" F) => E))) is Element of the carrier of B
[F,(a "/\" ((a "/\" F) => E))] is set
{F,(a "/\" ((a "/\" F) => E))} is set
{{F,(a "/\" ((a "/\" F) => E))},{F}} is set
the L_meet of B . [F,(a "/\" ((a "/\" F) => E))] is set
(a "/\" F) "/\" ((a "/\" F) => E) is Element of the carrier of B
the L_meet of B . ((a "/\" F),((a "/\" F) => E)) is Element of the carrier of B
[(a "/\" F),((a "/\" F) => E)] is set
{(a "/\" F),((a "/\" F) => E)} is set
{(a "/\" F)} is set
{{(a "/\" F),((a "/\" F) => E)},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),((a "/\" F) => E)] is set
a "/\" (a => (F => E)) is Element of the carrier of B
the L_meet of B . (a,(a => (F => E))) is Element of the carrier of B
[a,(a => (F => E))] is set
{a,(a => (F => E))} is set
{{a,(a => (F => E))},{a}} is set
the L_meet of B . [a,(a => (F => E))] is set
F "/\" (a "/\" (a => (F => E))) is Element of the carrier of B
the L_meet of B . (F,(a "/\" (a => (F => E)))) is Element of the carrier of B
[F,(a "/\" (a => (F => E)))] is set
{F,(a "/\" (a => (F => E)))} is set
{{F,(a "/\" (a => (F => E)))},{F}} is set
the L_meet of B . [F,(a "/\" (a => (F => E)))] is set
(F "/\" a) "/\" (a => (F => E)) is Element of the carrier of B
the L_meet of B . ((F "/\" a),(a => (F => E))) is Element of the carrier of B
[(F "/\" a),(a => (F => E))] is set
{(F "/\" a),(a => (F => E))} is set
{{(F "/\" a),(a => (F => E))},{(F "/\" a)}} is set
the L_meet of B . [(F "/\" a),(a => (F => E))] is set
F "/\" (F => E) is Element of the carrier of B
the L_meet of B . (F,(F => E)) is Element of the carrier of B
[F,(F => E)] is set
{F,(F => E)} is set
{{F,(F => E)},{F}} is set
the L_meet of B . [F,(F => E)] is set
(a "/\" F) "/\" (a => (F => E)) is Element of the carrier of B
the L_meet of B . ((a "/\" F),(a => (F => E))) is Element of the carrier of B
[(a "/\" F),(a => (F => E))] is set
{(a "/\" F),(a => (F => E))} is set
{{(a "/\" F),(a => (F => E))},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),(a => (F => E))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
Bottom B is Element of the carrier of B
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
Bottom (B,a) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
(B,a,(Bottom B)) is Element of the carrier of (B,a)
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
g is Element of the carrier of B
(B,a,g) is Element of the carrier of (B,a)
Class (equivalence_wrt a) is non empty V26() a_partition of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
( the carrier of B,(equivalence_wrt a), the L_join of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
( the carrier of B,(equivalence_wrt a), the L_meet of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
LattStr(# (Class (equivalence_wrt a)),( the carrier of B,(equivalence_wrt a), the L_join of B),( the carrier of B,(equivalence_wrt a), the L_meet of B) #) is non empty strict LattStr
o1 is Element of the carrier of (B,a)
o2 is Element of the carrier of B
Class ((equivalence_wrt a),o2) is Element of bool the carrier of B
g "/\" o2 is Element of the carrier of B
the L_meet of B . (g,o2) is Element of the carrier of B
[g,o2] is set
{g,o2} is set
{g} is set
{{g,o2},{g}} is set
the L_meet of B . [g,o2] is set
(B,a,o2) is Element of the carrier of (B,a)
(B,a,g) "/\" o1 is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a,g),o1) is Element of the carrier of (B,a)
[(B,a,g),o1] is set
{(B,a,g),o1} is set
{(B,a,g)} is set
{{(B,a,g),o1},{(B,a,g)}} is set
the L_meet of (B,a) . [(B,a,g),o1] is set
o1 "/\" (B,a,g) is Element of the carrier of (B,a)
the L_meet of (B,a) . (o1,(B,a,g)) is Element of the carrier of (B,a)
[o1,(B,a,g)] is set
{o1,(B,a,g)} is set
{o1} is set
{{o1,(B,a,g)},{o1}} is set
the L_meet of (B,a) . [o1,(B,a,g)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
Top B is Element of the carrier of B
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
Top (B,a) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
(B,a,(Top B)) is Element of the carrier of (B,a)
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
Class (equivalence_wrt a) is non empty V26() a_partition of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
( the carrier of B,(equivalence_wrt a), the L_join of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
( the carrier of B,(equivalence_wrt a), the L_meet of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
LattStr(# (Class (equivalence_wrt a)),( the carrier of B,(equivalence_wrt a), the L_join of B),( the carrier of B,(equivalence_wrt a), the L_meet of B) #) is non empty strict LattStr
S is Element of the carrier of (B,a)
o1 is Element of the carrier of B
Class ((equivalence_wrt a),o1) is Element of bool the carrier of B
(Top B) "\/" o1 is Element of the carrier of B
the L_join of B . ((Top B),o1) is Element of the carrier of B
[(Top B),o1] is set
{(Top B),o1} is set
{(Top B)} is set
{{(Top B),o1},{(Top B)}} is set
the L_join of B . [(Top B),o1] is set
(B,a,o1) is Element of the carrier of (B,a)
(B,a,(Top B)) "\/" S is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,(Top B)),S) is Element of the carrier of (B,a)
[(B,a,(Top B)),S] is set
{(B,a,(Top B)),S} is set
{(B,a,(Top B))} is set
{{(B,a,(Top B)),S},{(B,a,(Top B))}} is set
the L_join of (B,a) . [(B,a,(Top B)),S] is set
S "\/" (B,a,(Top B)) is Element of the carrier of (B,a)
the L_join of (B,a) . (S,(B,a,(Top B))) is Element of the carrier of (B,a)
[S,(B,a,(Top B))] is set
{S,(B,a,(Top B))} is set
{S} is set
{{S,(B,a,(Top B))},{S}} is set
the L_join of (B,a) . [S,(B,a,(Top B))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
the carrier of (B,a) is non empty set
g is Element of the carrier of (B,a)
S is Element of the carrier of (B,a)
Top B is Element of the carrier of B
Class (equivalence_wrt a) is non empty V26() a_partition of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
( the carrier of B,(equivalence_wrt a), the L_join of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
( the carrier of B,(equivalence_wrt a), the L_meet of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
LattStr(# (Class (equivalence_wrt a)),( the carrier of B,(equivalence_wrt a), the L_join of B),( the carrier of B,(equivalence_wrt a), the L_meet of B) #) is non empty strict LattStr
o1 is Element of the carrier of B
Class ((equivalence_wrt a),o1) is Element of bool the carrier of B
(B,a,o1) is Element of the carrier of (B,a)
o2 is Element of the carrier of B
Class ((equivalence_wrt a),o2) is Element of bool the carrier of B
(B,a,o2) is Element of the carrier of (B,a)
o1 => o2 is Element of the carrier of B
(B,a,(o1 => o2)) is Element of the carrier of (B,a)
R is Element of the carrier of (B,a)
g "/\" R is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . (g,R) is Element of the carrier of (B,a)
[g,R] is set
{g,R} is set
{g} is set
{{g,R},{g}} is set
the L_meet of (B,a) . [g,R] is set
o1 "/\" (o1 => o2) is Element of the carrier of B
the L_meet of B . (o1,(o1 => o2)) is Element of the carrier of B
[o1,(o1 => o2)] is set
{o1,(o1 => o2)} is set
{o1} is set
{{o1,(o1 => o2)},{o1}} is set
the L_meet of B . [o1,(o1 => o2)] is set
(o1 "/\" (o1 => o2)) "/\" (Top B) is Element of the carrier of B
the L_meet of B . ((o1 "/\" (o1 => o2)),(Top B)) is Element of the carrier of B
[(o1 "/\" (o1 => o2)),(Top B)] is set
{(o1 "/\" (o1 => o2)),(Top B)} is set
{(o1 "/\" (o1 => o2))} is set
{{(o1 "/\" (o1 => o2)),(Top B)},{(o1 "/\" (o1 => o2))}} is set
the L_meet of B . [(o1 "/\" (o1 => o2)),(Top B)] is set
(o1 "/\" (o1 => o2)) => o2 is Element of the carrier of B
(B,a,(o1 "/\" (o1 => o2))) is Element of the carrier of (B,a)
g "/\" R is Element of the carrier of (B,a)
h is Element of the carrier of (B,a)
g "/\" h is Element of the carrier of (B,a)
the L_meet of (B,a) . (g,h) is Element of the carrier of (B,a)
[g,h] is set
{g,h} is set
{{g,h},{g}} is set
the L_meet of (B,a) . [g,h] is set
f is Element of the carrier of B
Class ((equivalence_wrt a),f) is Element of bool the carrier of B
(B,a,f) is Element of the carrier of (B,a)
g "/\" h is Element of the carrier of (B,a)
(B,a,o1) "/\" (B,a,f) is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a,o1),(B,a,f)) is Element of the carrier of (B,a)
[(B,a,o1),(B,a,f)] is set
{(B,a,o1),(B,a,f)} is set
{(B,a,o1)} is set
{{(B,a,o1),(B,a,f)},{(B,a,o1)}} is set
the L_meet of (B,a) . [(B,a,o1),(B,a,f)] is set
o1 "/\" f is Element of the carrier of B
the L_meet of B . (o1,f) is Element of the carrier of B
[o1,f] is set
{o1,f} is set
{{o1,f},{o1}} is set
the L_meet of B . [o1,f] is set
(B,a,(o1 "/\" f)) is Element of the carrier of (B,a)
(o1 "/\" f) => o2 is Element of the carrier of B
f => (o1 => o2) is Element of the carrier of B
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
Bottom (B,a) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
Bottom B is Element of the carrier of B
(B,a,(Bottom B)) is Element of the carrier of (B,a)
Top (B,a) is Element of the carrier of (B,a)
Top B is Element of the carrier of B
(B,a,(Top B)) is Element of the carrier of (B,a)
g is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded LattStr
the carrier of g is non empty set
S is Element of the carrier of g
Class (equivalence_wrt a) is non empty V26() a_partition of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
( the carrier of B,(equivalence_wrt a), the L_join of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] is Relation-like non empty set
[:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
( the carrier of B,(equivalence_wrt a), the L_meet of B) is Relation-like [:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):] -defined Class (equivalence_wrt a) -valued Function-like non empty total V20([:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):], Class (equivalence_wrt a)) Element of bool [:[:(Class (equivalence_wrt a)),(Class (equivalence_wrt a)):],(Class (equivalence_wrt a)):]
LattStr(# (Class (equivalence_wrt a)),( the carrier of B,(equivalence_wrt a), the L_join of B),( the carrier of B,(equivalence_wrt a), the L_meet of B) #) is non empty strict LattStr
o1 is Element of the carrier of B
Class ((equivalence_wrt a),o1) is Element of bool the carrier of B
o1 ` is Element of the carrier of B
(B,a,(o1 `)) is Element of the carrier of (B,a)
o2 is Element of the carrier of g
(B,a,o1) is Element of the carrier of (B,a)
o2 "\/" S is Element of the carrier of g
the L_join of g is Relation-like [: the carrier of g, the carrier of g:] -defined the carrier of g -valued Function-like non empty total V20([: the carrier of g, the carrier of g:], the carrier of g) commutative associative idempotent Element of bool [:[: the carrier of g, the carrier of g:], the carrier of g:]
[: the carrier of g, the carrier of g:] is Relation-like non empty set
[:[: the carrier of g, the carrier of g:], the carrier of g:] is Relation-like non empty set
bool [:[: the carrier of g, the carrier of g:], the carrier of g:] is non empty set
the L_join of g . (o2,S) is Element of the carrier of g
[o2,S] is set
{o2,S} is set
{o2} is set
{{o2,S},{o2}} is set
the L_join of g . [o2,S] is set
(o1 `) "\/" o1 is Element of the carrier of B
the L_join of B . ((o1 `),o1) is Element of the carrier of B
[(o1 `),o1] is set
{(o1 `),o1} is set
{(o1 `)} is set
{{(o1 `),o1},{(o1 `)}} is set
the L_join of B . [(o1 `),o1] is set
(B,a,((o1 `) "\/" o1)) is Element of the carrier of (B,a)
Top g is Element of the carrier of g
S "\/" o2 is Element of the carrier of g
the L_join of g . (S,o2) is Element of the carrier of g
[S,o2] is set
{S,o2} is set
{S} is set
{{S,o2},{S}} is set
the L_join of g . [S,o2] is set
o2 "/\" S is Element of the carrier of g
the L_meet of g is Relation-like [: the carrier of g, the carrier of g:] -defined the carrier of g -valued Function-like non empty total V20([: the carrier of g, the carrier of g:], the carrier of g) commutative associative idempotent Element of bool [:[: the carrier of g, the carrier of g:], the carrier of g:]
the L_meet of g . (o2,S) is Element of the carrier of g
the L_meet of g . [o2,S] is set
Bottom g is Element of the carrier of g
S "/\" o2 is Element of the carrier of g
the L_meet of g . (S,o2) is Element of the carrier of g
the L_meet of g . [S,o2] is set
S "\/" o2 is Element of the carrier of g
o2 "/\" S is Element of the carrier of g
(o1 `) "/\" o1 is Element of the carrier of B
the L_meet of B . ((o1 `),o1) is Element of the carrier of B
the L_meet of B . [(o1 `),o1] is set
(B,a,((o1 `) "/\" o1)) is Element of the carrier of (B,a)
S "/\" o2 is Element of the carrier of g
B is set
[:B,B:] is Relation-like set
[:[:B,B:],B:] is Relation-like set
bool [:[:B,B:],B:] is non empty set
a is set
[:a,a:] is Relation-like set
[:[:a,a:],a:] is Relation-like set
bool [:[:a,a:],a:] is non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:a,a:] -defined a -valued Function-like V20([:a,a:],a) Element of bool [:[:a,a:],a:]
|:F,E:| is Relation-like Function-like set
[:B,a:] is Relation-like set
[:[:B,a:],[:B,a:]:] is Relation-like set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
dom E is Relation-like set
rng E is set
rng F is set
[:(rng F),(rng E):] is Relation-like set
rng |:F,E:| is set
dom F is Relation-like set
dom |:F,E:| is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Element of B
E is Element of B
g is Element of a
[F,g] is Element of [:B,a:]
{F,g} is set
{F} is set
{{F,g},{F}} is set
S is Element of a
[E,S] is Element of [:B,a:]
{E,S} is set
{E} is set
{{E,S},{E}} is set
o1 is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
o1 . (F,E) is Element of B
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
o1 . [F,E] is set
o2 is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,o1,o2) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
(B,a,o1,o2) . ([F,g],[E,S]) is Element of [:B,a:]
[[F,g],[E,S]] is set
{[F,g],[E,S]} is Relation-like set
{[F,g]} is Relation-like Function-like set
{{[F,g],[E,S]},{[F,g]}} is set
(B,a,o1,o2) . [[F,g],[E,S]] is set
o2 . (g,S) is Element of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
o2 . [g,S] is set
[(o1 . (F,E)),(o2 . (g,S))] is Element of [:B,a:]
{(o1 . (F,E)),(o2 . (g,S))} is set
{(o1 . (F,E))} is set
{{(o1 . (F,E)),(o2 . (g,S))},{(o1 . (F,E))}} is set
dom (B,a,o1,o2) is Relation-like non empty set
[[F,g],[E,S]] is Element of [:[:B,a:],[:B,a:]:]
F<sub>1</sub>() is non empty set
F<sub>2</sub>() is non empty set
[:F<sub>1</sub>(),F<sub>2</sub>():] is Relation-like non empty set
B is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
a is Element of F<sub>1</sub>()
F is Element of F<sub>2</sub>()
[a,F] is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
{a,F} is set
{a} is set
{{a,F},{a}} is set
F<sub>1</sub>() is non empty set
F<sub>2</sub>() is non empty set
[:F<sub>1</sub>(),F<sub>2</sub>():] is Relation-like non empty set
B is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
a is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
F is Element of F<sub>1</sub>()
E is Element of F<sub>2</sub>()
[F,E] is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
{F,E} is set
{F} is set
{{F,E},{F}} is set
g is Element of F<sub>1</sub>()
S is Element of F<sub>2</sub>()
[g,S] is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
{g,S} is set
{g} is set
{{g,S},{g}} is set
F<sub>1</sub>() is non empty set
F<sub>2</sub>() is non empty set
[:F<sub>1</sub>(),F<sub>2</sub>():] is Relation-like non empty set
B is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
a is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
F is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
E is Element of F<sub>1</sub>()
g is Element of F<sub>2</sub>()
[E,g] is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
{E,g} is set
{E} is set
{{E,g},{E}} is set
S is Element of F<sub>1</sub>()
o1 is Element of F<sub>2</sub>()
[S,o1] is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
o2 is Element of F<sub>1</sub>()
R is Element of F<sub>2</sub>()
[o2,R] is Element of [:F<sub>1</sub>(),F<sub>2</sub>():]
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,F,E) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
g is Element of B
S is Element of B
o1 is Element of a
[g,o1] is Element of [:B,a:]
{g,o1} is set
{g} is set
{{g,o1},{g}} is set
o2 is Element of a
[S,o2] is Element of [:B,a:]
{S,o2} is set
{S} is set
{{S,o2},{S}} is set
(B,a,F,E) . ([g,o1],[S,o2]) is set
[[g,o1],[S,o2]] is set
{[g,o1],[S,o2]} is Relation-like set
{[g,o1]} is Relation-like Function-like set
{{[g,o1],[S,o2]},{[g,o1]}} is set
(B,a,F,E) . [[g,o1],[S,o2]] is set
(B,a,F,E) . ([S,o2],[g,o1]) is set
[[S,o2],[g,o1]] is set
{[S,o2],[g,o1]} is Relation-like set
{[S,o2]} is Relation-like Function-like set
{{[S,o2],[g,o1]},{[S,o2]}} is set
(B,a,F,E) . [[S,o2],[g,o1]] is set
(B,a,F,E) . ([g,o1],[S,o2]) is Element of [:B,a:]
F . (g,S) is Element of B
[g,S] is set
{g,S} is set
{{g,S},{g}} is set
F . [g,S] is set
E . (o1,o2) is Element of a
[o1,o2] is set
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
E . [o1,o2] is set
[(F . (g,S)),(E . (o1,o2))] is Element of [:B,a:]
{(F . (g,S)),(E . (o1,o2))} is set
{(F . (g,S))} is set
{{(F . (g,S)),(E . (o1,o2))},{(F . (g,S))}} is set
F . (S,g) is Element of B
[S,g] is set
{S,g} is set
{{S,g},{S}} is set
F . [S,g] is set
[(F . (S,g)),(E . (o1,o2))] is Element of [:B,a:]
{(F . (S,g)),(E . (o1,o2))} is set
{(F . (S,g))} is set
{{(F . (S,g)),(E . (o1,o2))},{(F . (S,g))}} is set
E . (o2,o1) is Element of a
[o2,o1] is set
{o2,o1} is set
{o2} is set
{{o2,o1},{o2}} is set
E . [o2,o1] is set
[(F . (S,g)),(E . (o2,o1))] is Element of [:B,a:]
{(F . (S,g)),(E . (o2,o1))} is set
{{(F . (S,g)),(E . (o2,o1))},{(F . (S,g))}} is set
(B,a,F,E) . ([S,o2],[g,o1]) is Element of [:B,a:]
the Element of a is Element of a
S is Element of B
o1 is Element of B
F . (S,o1) is Element of B
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
F . [S,o1] is set
F . (o1,S) is Element of B
[o1,S] is set
{o1,S} is set
{o1} is set
{{o1,S},{o1}} is set
F . [o1,S] is set
E . ( the Element of a, the Element of a) is Element of a
[ the Element of a, the Element of a] is set
{ the Element of a, the Element of a} is set
{ the Element of a} is set
{{ the Element of a, the Element of a},{ the Element of a}} is set
E . [ the Element of a, the Element of a] is set
[(F . (S,o1)),(E . ( the Element of a, the Element of a))] is Element of [:B,a:]
{(F . (S,o1)),(E . ( the Element of a, the Element of a))} is set
{(F . (S,o1))} is set
{{(F . (S,o1)),(E . ( the Element of a, the Element of a))},{(F . (S,o1))}} is set
[S, the Element of a] is Element of [:B,a:]
{S, the Element of a} is set
{{S, the Element of a},{S}} is set
[o1, the Element of a] is Element of [:B,a:]
{o1, the Element of a} is set
{{o1, the Element of a},{o1}} is set
(B,a,F,E) . ([S, the Element of a],[o1, the Element of a]) is Element of [:B,a:]
[[S, the Element of a],[o1, the Element of a]] is set
{[S, the Element of a],[o1, the Element of a]} is Relation-like set
{[S, the Element of a]} is Relation-like Function-like set
{{[S, the Element of a],[o1, the Element of a]},{[S, the Element of a]}} is set
(B,a,F,E) . [[S, the Element of a],[o1, the Element of a]] is set
(B,a,F,E) . ([o1, the Element of a],[S, the Element of a]) is Element of [:B,a:]
[[o1, the Element of a],[S, the Element of a]] is set
{[o1, the Element of a],[S, the Element of a]} is Relation-like set
{[o1, the Element of a]} is Relation-like Function-like set
{{[o1, the Element of a],[S, the Element of a]},{[o1, the Element of a]}} is set
(B,a,F,E) . [[o1, the Element of a],[S, the Element of a]] is set
[(F . (o1,S)),(E . ( the Element of a, the Element of a))] is Element of [:B,a:]
{(F . (o1,S)),(E . ( the Element of a, the Element of a))} is set
{(F . (o1,S))} is set
{{(F . (o1,S)),(E . ( the Element of a, the Element of a))},{(F . (o1,S))}} is set
the Element of B is Element of B
S is Element of a
o1 is Element of a
E . (S,o1) is Element of a
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
E . [S,o1] is set
E . (o1,S) is Element of a
[o1,S] is set
{o1,S} is set
{o1} is set
{{o1,S},{o1}} is set
E . [o1,S] is set
F . ( the Element of B, the Element of B) is Element of B
[ the Element of B, the Element of B] is set
{ the Element of B, the Element of B} is set
{ the Element of B} is set
{{ the Element of B, the Element of B},{ the Element of B}} is set
F . [ the Element of B, the Element of B] is set
E . (S,o1) is Element of a
[(F . ( the Element of B, the Element of B)),(E . (S,o1))] is Element of [:B,a:]
{(F . ( the Element of B, the Element of B)),(E . (S,o1))} is set
{(F . ( the Element of B, the Element of B))} is set
{{(F . ( the Element of B, the Element of B)),(E . (S,o1))},{(F . ( the Element of B, the Element of B))}} is set
[ the Element of B,S] is Element of [:B,a:]
{ the Element of B,S} is set
{{ the Element of B,S},{ the Element of B}} is set
[ the Element of B,o1] is Element of [:B,a:]
{ the Element of B,o1} is set
{{ the Element of B,o1},{ the Element of B}} is set
(B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1]) is Element of [:B,a:]
[[ the Element of B,S],[ the Element of B,o1]] is set
{[ the Element of B,S],[ the Element of B,o1]} is Relation-like set
{[ the Element of B,S]} is Relation-like Function-like set
{{[ the Element of B,S],[ the Element of B,o1]},{[ the Element of B,S]}} is set
(B,a,F,E) . [[ the Element of B,S],[ the Element of B,o1]] is set
(B,a,F,E) . ([ the Element of B,o1],[ the Element of B,S]) is Element of [:B,a:]
[[ the Element of B,o1],[ the Element of B,S]] is set
{[ the Element of B,o1],[ the Element of B,S]} is Relation-like set
{[ the Element of B,o1]} is Relation-like Function-like set
{{[ the Element of B,o1],[ the Element of B,S]},{[ the Element of B,o1]}} is set
(B,a,F,E) . [[ the Element of B,o1],[ the Element of B,S]] is set
E . (o1,S) is Element of a
[(F . ( the Element of B, the Element of B)),(E . (o1,S))] is Element of [:B,a:]
{(F . ( the Element of B, the Element of B)),(E . (o1,S))} is set
{{(F . ( the Element of B, the Element of B)),(E . (o1,S))},{(F . ( the Element of B, the Element of B))}} is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,F,E) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
g is Element of B
o2 is Element of a
[g,o2] is Element of [:B,a:]
{g,o2} is set
{g} is set
{{g,o2},{g}} is set
S is Element of B
R is Element of a
[S,R] is Element of [:B,a:]
{S,R} is set
{S} is set
{{S,R},{S}} is set
o1 is Element of B
h is Element of a
[o1,h] is Element of [:B,a:]
{o1,h} is set
{o1} is set
{{o1,h},{o1}} is set
(B,a,F,E) . ([S,R],[o1,h]) is Element of [:B,a:]
[[S,R],[o1,h]] is set
{[S,R],[o1,h]} is Relation-like set
{[S,R]} is Relation-like Function-like set
{{[S,R],[o1,h]},{[S,R]}} is set
(B,a,F,E) . [[S,R],[o1,h]] is set
(B,a,F,E) . ([g,o2],((B,a,F,E) . ([S,R],[o1,h]))) is Element of [:B,a:]
[[g,o2],((B,a,F,E) . ([S,R],[o1,h]))] is set
{[g,o2],((B,a,F,E) . ([S,R],[o1,h]))} is set
{[g,o2]} is Relation-like Function-like set
{{[g,o2],((B,a,F,E) . ([S,R],[o1,h]))},{[g,o2]}} is set
(B,a,F,E) . [[g,o2],((B,a,F,E) . ([S,R],[o1,h]))] is set
F . (S,o1) is Element of B
[S,o1] is set
{S,o1} is set
{{S,o1},{S}} is set
F . [S,o1] is set
E . (R,h) is Element of a
[R,h] is set
{R,h} is set
{R} is set
{{R,h},{R}} is set
E . [R,h] is set
[(F . (S,o1)),(E . (R,h))] is Element of [:B,a:]
{(F . (S,o1)),(E . (R,h))} is set
{(F . (S,o1))} is set
{{(F . (S,o1)),(E . (R,h))},{(F . (S,o1))}} is set
(B,a,F,E) . ([g,o2],[(F . (S,o1)),(E . (R,h))]) is Element of [:B,a:]
[[g,o2],[(F . (S,o1)),(E . (R,h))]] is set
{[g,o2],[(F . (S,o1)),(E . (R,h))]} is Relation-like set
{{[g,o2],[(F . (S,o1)),(E . (R,h))]},{[g,o2]}} is set
(B,a,F,E) . [[g,o2],[(F . (S,o1)),(E . (R,h))]] is set
F . (g,(F . (S,o1))) is Element of B
[g,(F . (S,o1))] is set
{g,(F . (S,o1))} is set
{{g,(F . (S,o1))},{g}} is set
F . [g,(F . (S,o1))] is set
E . (o2,(E . (R,h))) is Element of a
[o2,(E . (R,h))] is set
{o2,(E . (R,h))} is set
{o2} is set
{{o2,(E . (R,h))},{o2}} is set
E . [o2,(E . (R,h))] is set
[(F . (g,(F . (S,o1)))),(E . (o2,(E . (R,h))))] is Element of [:B,a:]
{(F . (g,(F . (S,o1)))),(E . (o2,(E . (R,h))))} is set
{(F . (g,(F . (S,o1))))} is set
{{(F . (g,(F . (S,o1)))),(E . (o2,(E . (R,h))))},{(F . (g,(F . (S,o1))))}} is set
F . (g,S) is Element of B
[g,S] is set
{g,S} is set
{{g,S},{g}} is set
F . [g,S] is set
F . ((F . (g,S)),o1) is Element of B
[(F . (g,S)),o1] is set
{(F . (g,S)),o1} is set
{(F . (g,S))} is set
{{(F . (g,S)),o1},{(F . (g,S))}} is set
F . [(F . (g,S)),o1] is set
[(F . ((F . (g,S)),o1)),(E . (o2,(E . (R,h))))] is Element of [:B,a:]
{(F . ((F . (g,S)),o1)),(E . (o2,(E . (R,h))))} is set
{(F . ((F . (g,S)),o1))} is set
{{(F . ((F . (g,S)),o1)),(E . (o2,(E . (R,h))))},{(F . ((F . (g,S)),o1))}} is set
E . (o2,R) is Element of a
[o2,R] is set
{o2,R} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
E . ((E . (o2,R)),h) is Element of a
[(E . (o2,R)),h] is set
{(E . (o2,R)),h} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),h},{(E . (o2,R))}} is set
E . [(E . (o2,R)),h] is set
[(F . ((F . (g,S)),o1)),(E . ((E . (o2,R)),h))] is Element of [:B,a:]
{(F . ((F . (g,S)),o1)),(E . ((E . (o2,R)),h))} is set
{{(F . ((F . (g,S)),o1)),(E . ((E . (o2,R)),h))},{(F . ((F . (g,S)),o1))}} is set
[(F . (g,S)),(E . (o2,R))] is Element of [:B,a:]
{(F . (g,S)),(E . (o2,R))} is set
{{(F . (g,S)),(E . (o2,R))},{(F . (g,S))}} is set
(B,a,F,E) . ([(F . (g,S)),(E . (o2,R))],[o1,h]) is Element of [:B,a:]
[[(F . (g,S)),(E . (o2,R))],[o1,h]] is set
{[(F . (g,S)),(E . (o2,R))],[o1,h]} is Relation-like set
{[(F . (g,S)),(E . (o2,R))]} is Relation-like Function-like set
{{[(F . (g,S)),(E . (o2,R))],[o1,h]},{[(F . (g,S)),(E . (o2,R))]}} is set
(B,a,F,E) . [[(F . (g,S)),(E . (o2,R))],[o1,h]] is set
(B,a,F,E) . ([g,o2],[S,R]) is Element of [:B,a:]
[[g,o2],[S,R]] is set
{[g,o2],[S,R]} is Relation-like set
{{[g,o2],[S,R]},{[g,o2]}} is set
(B,a,F,E) . [[g,o2],[S,R]] is set
(B,a,F,E) . (((B,a,F,E) . ([g,o2],[S,R])),[o1,h]) is Element of [:B,a:]
[((B,a,F,E) . ([g,o2],[S,R])),[o1,h]] is set
{((B,a,F,E) . ([g,o2],[S,R])),[o1,h]} is set
{((B,a,F,E) . ([g,o2],[S,R]))} is set
{{((B,a,F,E) . ([g,o2],[S,R])),[o1,h]},{((B,a,F,E) . ([g,o2],[S,R]))}} is set
(B,a,F,E) . [((B,a,F,E) . ([g,o2],[S,R])),[o1,h]] is set
(B,a,F,E) . ([S,R],[o1,h]) is set
(B,a,F,E) . ([g,o2],((B,a,F,E) . ([S,R],[o1,h]))) is set
[[g,o2],((B,a,F,E) . ([S,R],[o1,h]))] is set
{[g,o2],((B,a,F,E) . ([S,R],[o1,h]))} is set
{{[g,o2],((B,a,F,E) . ([S,R],[o1,h]))},{[g,o2]}} is set
(B,a,F,E) . [[g,o2],((B,a,F,E) . ([S,R],[o1,h]))] is set
(B,a,F,E) . ([g,o2],[S,R]) is set
(B,a,F,E) . (((B,a,F,E) . ([g,o2],[S,R])),[o1,h]) is set
[((B,a,F,E) . ([g,o2],[S,R])),[o1,h]] is set
{((B,a,F,E) . ([g,o2],[S,R])),[o1,h]} is set
{((B,a,F,E) . ([g,o2],[S,R]))} is set
{{((B,a,F,E) . ([g,o2],[S,R])),[o1,h]},{((B,a,F,E) . ([g,o2],[S,R]))}} is set
(B,a,F,E) . [((B,a,F,E) . ([g,o2],[S,R])),[o1,h]] is set
the Element of a is Element of a
S is Element of B
o1 is Element of B
F . (S,o1) is Element of B
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
F . [S,o1] is set
o2 is Element of B
F . (o1,o2) is Element of B
[o1,o2] is set
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
F . [o1,o2] is set
F . (S,(F . (o1,o2))) is Element of B
[S,(F . (o1,o2))] is set
{S,(F . (o1,o2))} is set
{{S,(F . (o1,o2))},{S}} is set
F . [S,(F . (o1,o2))] is set
F . ((F . (S,o1)),o2) is Element of B
[(F . (S,o1)),o2] is set
{(F . (S,o1)),o2} is set
{(F . (S,o1))} is set
{{(F . (S,o1)),o2},{(F . (S,o1))}} is set
F . [(F . (S,o1)),o2] is set
E . ( the Element of a, the Element of a) is Element of a
[ the Element of a, the Element of a] is set
{ the Element of a, the Element of a} is set
{ the Element of a} is set
{{ the Element of a, the Element of a},{ the Element of a}} is set
E . [ the Element of a, the Element of a] is set
E . ( the Element of a,(E . ( the Element of a, the Element of a))) is Element of a
[ the Element of a,(E . ( the Element of a, the Element of a))] is set
{ the Element of a,(E . ( the Element of a, the Element of a))} is set
{{ the Element of a,(E . ( the Element of a, the Element of a))},{ the Element of a}} is set
E . [ the Element of a,(E . ( the Element of a, the Element of a))] is set
[(F . (S,(F . (o1,o2)))),(E . ( the Element of a,(E . ( the Element of a, the Element of a))))] is Element of [:B,a:]
{(F . (S,(F . (o1,o2)))),(E . ( the Element of a,(E . ( the Element of a, the Element of a))))} is set
{(F . (S,(F . (o1,o2))))} is set
{{(F . (S,(F . (o1,o2)))),(E . ( the Element of a,(E . ( the Element of a, the Element of a))))},{(F . (S,(F . (o1,o2))))}} is set
[S, the Element of a] is Element of [:B,a:]
{S, the Element of a} is set
{{S, the Element of a},{S}} is set
[(F . (o1,o2)),(E . ( the Element of a, the Element of a))] is Element of [:B,a:]
{(F . (o1,o2)),(E . ( the Element of a, the Element of a))} is set
{(F . (o1,o2))} is set
{{(F . (o1,o2)),(E . ( the Element of a, the Element of a))},{(F . (o1,o2))}} is set
(B,a,F,E) . ([S, the Element of a],[(F . (o1,o2)),(E . ( the Element of a, the Element of a))]) is Element of [:B,a:]
[[S, the Element of a],[(F . (o1,o2)),(E . ( the Element of a, the Element of a))]] is set
{[S, the Element of a],[(F . (o1,o2)),(E . ( the Element of a, the Element of a))]} is Relation-like set
{[S, the Element of a]} is Relation-like Function-like set
{{[S, the Element of a],[(F . (o1,o2)),(E . ( the Element of a, the Element of a))]},{[S, the Element of a]}} is set
(B,a,F,E) . [[S, the Element of a],[(F . (o1,o2)),(E . ( the Element of a, the Element of a))]] is set
[o1, the Element of a] is Element of [:B,a:]
{o1, the Element of a} is set
{{o1, the Element of a},{o1}} is set
[o2, the Element of a] is Element of [:B,a:]
{o2, the Element of a} is set
{o2} is set
{{o2, the Element of a},{o2}} is set
(B,a,F,E) . ([o1, the Element of a],[o2, the Element of a]) is Element of [:B,a:]
[[o1, the Element of a],[o2, the Element of a]] is set
{[o1, the Element of a],[o2, the Element of a]} is Relation-like set
{[o1, the Element of a]} is Relation-like Function-like set
{{[o1, the Element of a],[o2, the Element of a]},{[o1, the Element of a]}} is set
(B,a,F,E) . [[o1, the Element of a],[o2, the Element of a]] is set
(B,a,F,E) . ([S, the Element of a],((B,a,F,E) . ([o1, the Element of a],[o2, the Element of a]))) is Element of [:B,a:]
[[S, the Element of a],((B,a,F,E) . ([o1, the Element of a],[o2, the Element of a]))] is set
{[S, the Element of a],((B,a,F,E) . ([o1, the Element of a],[o2, the Element of a]))} is set
{{[S, the Element of a],((B,a,F,E) . ([o1, the Element of a],[o2, the Element of a]))},{[S, the Element of a]}} is set
(B,a,F,E) . [[S, the Element of a],((B,a,F,E) . ([o1, the Element of a],[o2, the Element of a]))] is set
(B,a,F,E) . ([S, the Element of a],[o1, the Element of a]) is Element of [:B,a:]
[[S, the Element of a],[o1, the Element of a]] is set
{[S, the Element of a],[o1, the Element of a]} is Relation-like set
{{[S, the Element of a],[o1, the Element of a]},{[S, the Element of a]}} is set
(B,a,F,E) . [[S, the Element of a],[o1, the Element of a]] is set
(B,a,F,E) . (((B,a,F,E) . ([S, the Element of a],[o1, the Element of a])),[o2, the Element of a]) is Element of [:B,a:]
[((B,a,F,E) . ([S, the Element of a],[o1, the Element of a])),[o2, the Element of a]] is set
{((B,a,F,E) . ([S, the Element of a],[o1, the Element of a])),[o2, the Element of a]} is set
{((B,a,F,E) . ([S, the Element of a],[o1, the Element of a]))} is set
{{((B,a,F,E) . ([S, the Element of a],[o1, the Element of a])),[o2, the Element of a]},{((B,a,F,E) . ([S, the Element of a],[o1, the Element of a]))}} is set
(B,a,F,E) . [((B,a,F,E) . ([S, the Element of a],[o1, the Element of a])),[o2, the Element of a]] is set
[(F . (S,o1)),(E . ( the Element of a, the Element of a))] is Element of [:B,a:]
{(F . (S,o1)),(E . ( the Element of a, the Element of a))} is set
{{(F . (S,o1)),(E . ( the Element of a, the Element of a))},{(F . (S,o1))}} is set
(B,a,F,E) . ([(F . (S,o1)),(E . ( the Element of a, the Element of a))],[o2, the Element of a]) is Element of [:B,a:]
[[(F . (S,o1)),(E . ( the Element of a, the Element of a))],[o2, the Element of a]] is set
{[(F . (S,o1)),(E . ( the Element of a, the Element of a))],[o2, the Element of a]} is Relation-like set
{[(F . (S,o1)),(E . ( the Element of a, the Element of a))]} is Relation-like Function-like set
{{[(F . (S,o1)),(E . ( the Element of a, the Element of a))],[o2, the Element of a]},{[(F . (S,o1)),(E . ( the Element of a, the Element of a))]}} is set
(B,a,F,E) . [[(F . (S,o1)),(E . ( the Element of a, the Element of a))],[o2, the Element of a]] is set
E . ((E . ( the Element of a, the Element of a)), the Element of a) is Element of a
[(E . ( the Element of a, the Element of a)), the Element of a] is set
{(E . ( the Element of a, the Element of a)), the Element of a} is set
{(E . ( the Element of a, the Element of a))} is set
{{(E . ( the Element of a, the Element of a)), the Element of a},{(E . ( the Element of a, the Element of a))}} is set
E . [(E . ( the Element of a, the Element of a)), the Element of a] is set
[(F . ((F . (S,o1)),o2)),(E . ((E . ( the Element of a, the Element of a)), the Element of a))] is Element of [:B,a:]
{(F . ((F . (S,o1)),o2)),(E . ((E . ( the Element of a, the Element of a)), the Element of a))} is set
{(F . ((F . (S,o1)),o2))} is set
{{(F . ((F . (S,o1)),o2)),(E . ((E . ( the Element of a, the Element of a)), the Element of a))},{(F . ((F . (S,o1)),o2))}} is set
the Element of B is Element of B
S is Element of a
o1 is Element of a
E . (S,o1) is Element of a
[S,o1] is set
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
E . [S,o1] is set
o2 is Element of a
E . (o1,o2) is Element of a
[o1,o2] is set
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
E . [o1,o2] is set
E . (S,(E . (o1,o2))) is Element of a
[S,(E . (o1,o2))] is set
{S,(E . (o1,o2))} is set
{{S,(E . (o1,o2))},{S}} is set
E . [S,(E . (o1,o2))] is set
E . ((E . (S,o1)),o2) is Element of a
[(E . (S,o1)),o2] is set
{(E . (S,o1)),o2} is set
{(E . (S,o1))} is set
{{(E . (S,o1)),o2},{(E . (S,o1))}} is set
E . [(E . (S,o1)),o2] is set
F . ( the Element of B, the Element of B) is Element of B
[ the Element of B, the Element of B] is set
{ the Element of B, the Element of B} is set
{ the Element of B} is set
{{ the Element of B, the Element of B},{ the Element of B}} is set
F . [ the Element of B, the Element of B] is set
F . ( the Element of B,(F . ( the Element of B, the Element of B))) is Element of B
[ the Element of B,(F . ( the Element of B, the Element of B))] is set
{ the Element of B,(F . ( the Element of B, the Element of B))} is set
{{ the Element of B,(F . ( the Element of B, the Element of B))},{ the Element of B}} is set
F . [ the Element of B,(F . ( the Element of B, the Element of B))] is set
E . (o1,o2) is Element of a
E . (S,(E . (o1,o2))) is Element of a
[S,(E . (o1,o2))] is set
{S,(E . (o1,o2))} is set
{{S,(E . (o1,o2))},{S}} is set
E . [S,(E . (o1,o2))] is set
[(F . ( the Element of B,(F . ( the Element of B, the Element of B)))),(E . (S,(E . (o1,o2))))] is Element of [:B,a:]
{(F . ( the Element of B,(F . ( the Element of B, the Element of B)))),(E . (S,(E . (o1,o2))))} is set
{(F . ( the Element of B,(F . ( the Element of B, the Element of B))))} is set
{{(F . ( the Element of B,(F . ( the Element of B, the Element of B)))),(E . (S,(E . (o1,o2))))},{(F . ( the Element of B,(F . ( the Element of B, the Element of B))))}} is set
[ the Element of B,S] is Element of [:B,a:]
{ the Element of B,S} is set
{{ the Element of B,S},{ the Element of B}} is set
[(F . ( the Element of B, the Element of B)),(E . (o1,o2))] is Element of [:B,a:]
{(F . ( the Element of B, the Element of B)),(E . (o1,o2))} is set
{(F . ( the Element of B, the Element of B))} is set
{{(F . ( the Element of B, the Element of B)),(E . (o1,o2))},{(F . ( the Element of B, the Element of B))}} is set
(B,a,F,E) . ([ the Element of B,S],[(F . ( the Element of B, the Element of B)),(E . (o1,o2))]) is Element of [:B,a:]
[[ the Element of B,S],[(F . ( the Element of B, the Element of B)),(E . (o1,o2))]] is set
{[ the Element of B,S],[(F . ( the Element of B, the Element of B)),(E . (o1,o2))]} is Relation-like set
{[ the Element of B,S]} is Relation-like Function-like set
{{[ the Element of B,S],[(F . ( the Element of B, the Element of B)),(E . (o1,o2))]},{[ the Element of B,S]}} is set
(B,a,F,E) . [[ the Element of B,S],[(F . ( the Element of B, the Element of B)),(E . (o1,o2))]] is set
[ the Element of B,o1] is Element of [:B,a:]
{ the Element of B,o1} is set
{{ the Element of B,o1},{ the Element of B}} is set
[ the Element of B,o2] is Element of [:B,a:]
{ the Element of B,o2} is set
{{ the Element of B,o2},{ the Element of B}} is set
(B,a,F,E) . ([ the Element of B,o1],[ the Element of B,o2]) is Element of [:B,a:]
[[ the Element of B,o1],[ the Element of B,o2]] is set
{[ the Element of B,o1],[ the Element of B,o2]} is Relation-like set
{[ the Element of B,o1]} is Relation-like Function-like set
{{[ the Element of B,o1],[ the Element of B,o2]},{[ the Element of B,o1]}} is set
(B,a,F,E) . [[ the Element of B,o1],[ the Element of B,o2]] is set
(B,a,F,E) . ([ the Element of B,S],((B,a,F,E) . ([ the Element of B,o1],[ the Element of B,o2]))) is Element of [:B,a:]
[[ the Element of B,S],((B,a,F,E) . ([ the Element of B,o1],[ the Element of B,o2]))] is set
{[ the Element of B,S],((B,a,F,E) . ([ the Element of B,o1],[ the Element of B,o2]))} is set
{{[ the Element of B,S],((B,a,F,E) . ([ the Element of B,o1],[ the Element of B,o2]))},{[ the Element of B,S]}} is set
(B,a,F,E) . [[ the Element of B,S],((B,a,F,E) . ([ the Element of B,o1],[ the Element of B,o2]))] is set
(B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1]) is Element of [:B,a:]
[[ the Element of B,S],[ the Element of B,o1]] is set
{[ the Element of B,S],[ the Element of B,o1]} is Relation-like set
{{[ the Element of B,S],[ the Element of B,o1]},{[ the Element of B,S]}} is set
(B,a,F,E) . [[ the Element of B,S],[ the Element of B,o1]] is set
(B,a,F,E) . (((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1])),[ the Element of B,o2]) is Element of [:B,a:]
[((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1])),[ the Element of B,o2]] is set
{((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1])),[ the Element of B,o2]} is set
{((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1]))} is set
{{((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1])),[ the Element of B,o2]},{((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1]))}} is set
(B,a,F,E) . [((B,a,F,E) . ([ the Element of B,S],[ the Element of B,o1])),[ the Element of B,o2]] is set
E . (S,o1) is Element of a
[(F . ( the Element of B, the Element of B)),(E . (S,o1))] is Element of [:B,a:]
{(F . ( the Element of B, the Element of B)),(E . (S,o1))} is set
{{(F . ( the Element of B, the Element of B)),(E . (S,o1))},{(F . ( the Element of B, the Element of B))}} is set
(B,a,F,E) . ([(F . ( the Element of B, the Element of B)),(E . (S,o1))],[ the Element of B,o2]) is Element of [:B,a:]
[[(F . ( the Element of B, the Element of B)),(E . (S,o1))],[ the Element of B,o2]] is set
{[(F . ( the Element of B, the Element of B)),(E . (S,o1))],[ the Element of B,o2]} is Relation-like set
{[(F . ( the Element of B, the Element of B)),(E . (S,o1))]} is Relation-like Function-like set
{{[(F . ( the Element of B, the Element of B)),(E . (S,o1))],[ the Element of B,o2]},{[(F . ( the Element of B, the Element of B)),(E . (S,o1))]}} is set
(B,a,F,E) . [[(F . ( the Element of B, the Element of B)),(E . (S,o1))],[ the Element of B,o2]] is set
F . ((F . ( the Element of B, the Element of B)), the Element of B) is Element of B
[(F . ( the Element of B, the Element of B)), the Element of B] is set
{(F . ( the Element of B, the Element of B)), the Element of B} is set
{{(F . ( the Element of B, the Element of B)), the Element of B},{(F . ( the Element of B, the Element of B))}} is set
F . [(F . ( the Element of B, the Element of B)), the Element of B] is set
E . ((E . (S,o1)),o2) is Element of a
[(E . (S,o1)),o2] is set
{(E . (S,o1)),o2} is set
{(E . (S,o1))} is set
{{(E . (S,o1)),o2},{(E . (S,o1))}} is set
E . [(E . (S,o1)),o2] is set
[(F . ((F . ( the Element of B, the Element of B)), the Element of B)),(E . ((E . (S,o1)),o2))] is Element of [:B,a:]
{(F . ((F . ( the Element of B, the Element of B)), the Element of B)),(E . ((E . (S,o1)),o2))} is set
{(F . ((F . ( the Element of B, the Element of B)), the Element of B))} is set
{{(F . ((F . ( the Element of B, the Element of B)), the Element of B)),(E . ((E . (S,o1)),o2))},{(F . ((F . ( the Element of B, the Element of B)), the Element of B))}} is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Element of B
E is Element of a
[F,E] is Element of [:B,a:]
{F,E} is set
{F} is set
{{F,E},{F}} is set
g is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,g,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
o1 is Element of B
o2 is Element of a
[o1,o2] is Element of [:B,a:]
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
(B,a,g,S) . ([F,E],[o1,o2]) is Element of [:B,a:]
[[F,E],[o1,o2]] is set
{[F,E],[o1,o2]} is Relation-like set
{[F,E]} is Relation-like Function-like set
{{[F,E],[o1,o2]},{[F,E]}} is set
(B,a,g,S) . [[F,E],[o1,o2]] is set
g . (F,o1) is Element of B
[F,o1] is set
{F,o1} is set
{{F,o1},{F}} is set
g . [F,o1] is set
S . (E,o2) is Element of a
[E,o2] is set
{E,o2} is set
{E} is set
{{E,o2},{E}} is set
S . [E,o2] is set
[(g . (F,o1)),(S . (E,o2))] is Element of [:B,a:]
{(g . (F,o1)),(S . (E,o2))} is set
{(g . (F,o1))} is set
{{(g . (F,o1)),(S . (E,o2))},{(g . (F,o1))}} is set
[o1,(S . (E,o2))] is Element of [:B,a:]
{o1,(S . (E,o2))} is set
{{o1,(S . (E,o2))},{o1}} is set
(B,a,g,S) . ([F,E],[o1,o2]) is set
o1 is Element of B
g . (F,o1) is Element of B
[F,o1] is set
{F,o1} is set
{{F,o1},{F}} is set
g . [F,o1] is set
the Element of a is Element of a
S . (E, the Element of a) is Element of a
[E, the Element of a] is set
{E, the Element of a} is set
{E} is set
{{E, the Element of a},{E}} is set
S . [E, the Element of a] is set
[(g . (F,o1)),(S . (E, the Element of a))] is Element of [:B,a:]
{(g . (F,o1)),(S . (E, the Element of a))} is set
{(g . (F,o1))} is set
{{(g . (F,o1)),(S . (E, the Element of a))},{(g . (F,o1))}} is set
[o1, the Element of a] is Element of [:B,a:]
{o1, the Element of a} is set
{o1} is set
{{o1, the Element of a},{o1}} is set
(B,a,g,S) . ([F,E],[o1, the Element of a]) is Element of [:B,a:]
[[F,E],[o1, the Element of a]] is set
{[F,E],[o1, the Element of a]} is Relation-like set
{[F,E]} is Relation-like Function-like set
{{[F,E],[o1, the Element of a]},{[F,E]}} is set
(B,a,g,S) . [[F,E],[o1, the Element of a]] is set
the Element of B is Element of B
o2 is Element of a
S . (E,o2) is Element of a
[E,o2] is set
{E,o2} is set
{E} is set
{{E,o2},{E}} is set
S . [E,o2] is set
g . (F, the Element of B) is Element of B
[F, the Element of B] is set
{F, the Element of B} is set
{{F, the Element of B},{F}} is set
g . [F, the Element of B] is set
S . (E,o2) is Element of a
[(g . (F, the Element of B)),(S . (E,o2))] is Element of [:B,a:]
{(g . (F, the Element of B)),(S . (E,o2))} is set
{(g . (F, the Element of B))} is set
{{(g . (F, the Element of B)),(S . (E,o2))},{(g . (F, the Element of B))}} is set
[ the Element of B,o2] is Element of [:B,a:]
{ the Element of B,o2} is set
{ the Element of B} is set
{{ the Element of B,o2},{ the Element of B}} is set
(B,a,g,S) . ([F,E],[ the Element of B,o2]) is Element of [:B,a:]
[[F,E],[ the Element of B,o2]] is set
{[F,E],[ the Element of B,o2]} is Relation-like set
{[F,E]} is Relation-like Function-like set
{{[F,E],[ the Element of B,o2]},{[F,E]}} is set
(B,a,g,S) . [[F,E],[ the Element of B,o2]] is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Element of B
E is Element of a
[F,E] is Element of [:B,a:]
{F,E} is set
{F} is set
{{F,E},{F}} is set
g is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,g,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
o1 is Element of B
o2 is Element of a
[o1,o2] is Element of [:B,a:]
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
(B,a,g,S) . ([o1,o2],[F,E]) is Element of [:B,a:]
[[o1,o2],[F,E]] is set
{[o1,o2],[F,E]} is Relation-like set
{[o1,o2]} is Relation-like Function-like set
{{[o1,o2],[F,E]},{[o1,o2]}} is set
(B,a,g,S) . [[o1,o2],[F,E]] is set
g . (o1,F) is Element of B
[o1,F] is set
{o1,F} is set
{{o1,F},{o1}} is set
g . [o1,F] is set
S . (o2,E) is Element of a
[o2,E] is set
{o2,E} is set
{o2} is set
{{o2,E},{o2}} is set
S . [o2,E] is set
[(g . (o1,F)),(S . (o2,E))] is Element of [:B,a:]
{(g . (o1,F)),(S . (o2,E))} is set
{(g . (o1,F))} is set
{{(g . (o1,F)),(S . (o2,E))},{(g . (o1,F))}} is set
[o1,(S . (o2,E))] is Element of [:B,a:]
{o1,(S . (o2,E))} is set
{{o1,(S . (o2,E))},{o1}} is set
(B,a,g,S) . ([o1,o2],[F,E]) is set
o1 is Element of B
g . (o1,F) is Element of B
[o1,F] is set
{o1,F} is set
{o1} is set
{{o1,F},{o1}} is set
g . [o1,F] is set
the Element of a is Element of a
S . ( the Element of a,E) is Element of a
[ the Element of a,E] is set
{ the Element of a,E} is set
{ the Element of a} is set
{{ the Element of a,E},{ the Element of a}} is set
S . [ the Element of a,E] is set
[(g . (o1,F)),(S . ( the Element of a,E))] is Element of [:B,a:]
{(g . (o1,F)),(S . ( the Element of a,E))} is set
{(g . (o1,F))} is set
{{(g . (o1,F)),(S . ( the Element of a,E))},{(g . (o1,F))}} is set
[o1, the Element of a] is Element of [:B,a:]
{o1, the Element of a} is set
{{o1, the Element of a},{o1}} is set
(B,a,g,S) . ([o1, the Element of a],[F,E]) is Element of [:B,a:]
[[o1, the Element of a],[F,E]] is set
{[o1, the Element of a],[F,E]} is Relation-like set
{[o1, the Element of a]} is Relation-like Function-like set
{{[o1, the Element of a],[F,E]},{[o1, the Element of a]}} is set
(B,a,g,S) . [[o1, the Element of a],[F,E]] is set
the Element of B is Element of B
o2 is Element of a
S . (o2,E) is Element of a
[o2,E] is set
{o2,E} is set
{o2} is set
{{o2,E},{o2}} is set
S . [o2,E] is set
g . ( the Element of B,F) is Element of B
[ the Element of B,F] is set
{ the Element of B,F} is set
{ the Element of B} is set
{{ the Element of B,F},{ the Element of B}} is set
g . [ the Element of B,F] is set
S . (o2,E) is Element of a
[(g . ( the Element of B,F)),(S . (o2,E))] is Element of [:B,a:]
{(g . ( the Element of B,F)),(S . (o2,E))} is set
{(g . ( the Element of B,F))} is set
{{(g . ( the Element of B,F)),(S . (o2,E))},{(g . ( the Element of B,F))}} is set
[ the Element of B,o2] is Element of [:B,a:]
{ the Element of B,o2} is set
{{ the Element of B,o2},{ the Element of B}} is set
(B,a,g,S) . ([ the Element of B,o2],[F,E]) is Element of [:B,a:]
[[ the Element of B,o2],[F,E]] is set
{[ the Element of B,o2],[F,E]} is Relation-like set
{[ the Element of B,o2]} is Relation-like Function-like set
{{[ the Element of B,o2],[F,E]},{[ the Element of B,o2]}} is set
(B,a,g,S) . [[ the Element of B,o2],[F,E]] is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Element of B
E is Element of a
[F,E] is Element of [:B,a:]
{F,E} is set
{F} is set
{{F,E},{F}} is set
g is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,g,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
g is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,F,g) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,E,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
o1 is Element of B
h is Element of a
[o1,h] is Element of [:B,a:]
{o1,h} is set
{o1} is set
{{o1,h},{o1}} is set
o2 is Element of B
f is Element of a
[o2,f] is Element of [:B,a:]
{o2,f} is set
{o2} is set
{{o2,f},{o2}} is set
R is Element of B
x is Element of a
[R,x] is Element of [:B,a:]
{R,x} is set
{R} is set
{{R,x},{R}} is set
(B,a,E,S) . ([o2,f],[R,x]) is Element of [:B,a:]
[[o2,f],[R,x]] is set
{[o2,f],[R,x]} is Relation-like set
{[o2,f]} is Relation-like Function-like set
{{[o2,f],[R,x]},{[o2,f]}} is set
(B,a,E,S) . [[o2,f],[R,x]] is set
(B,a,F,g) . ([o1,h],((B,a,E,S) . ([o2,f],[R,x]))) is Element of [:B,a:]
[[o1,h],((B,a,E,S) . ([o2,f],[R,x]))] is set
{[o1,h],((B,a,E,S) . ([o2,f],[R,x]))} is set
{[o1,h]} is Relation-like Function-like set
{{[o1,h],((B,a,E,S) . ([o2,f],[R,x]))},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],((B,a,E,S) . ([o2,f],[R,x]))] is set
E . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
S . (f,x) is Element of a
[f,x] is set
{f,x} is set
{f} is set
{{f,x},{f}} is set
S . [f,x] is set
[(E . (o2,R)),(S . (f,x))] is Element of [:B,a:]
{(E . (o2,R)),(S . (f,x))} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),(S . (f,x))},{(E . (o2,R))}} is set
(B,a,F,g) . ([o1,h],[(E . (o2,R)),(S . (f,x))]) is Element of [:B,a:]
[[o1,h],[(E . (o2,R)),(S . (f,x))]] is set
{[o1,h],[(E . (o2,R)),(S . (f,x))]} is Relation-like set
{{[o1,h],[(E . (o2,R)),(S . (f,x))]},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],[(E . (o2,R)),(S . (f,x))]] is set
F . (o1,(E . (o2,R))) is Element of B
[o1,(E . (o2,R))] is set
{o1,(E . (o2,R))} is set
{{o1,(E . (o2,R))},{o1}} is set
F . [o1,(E . (o2,R))] is set
g . (h,(S . (f,x))) is Element of a
[h,(S . (f,x))] is set
{h,(S . (f,x))} is set
{h} is set
{{h,(S . (f,x))},{h}} is set
g . [h,(S . (f,x))] is set
[(F . (o1,(E . (o2,R)))),(g . (h,(S . (f,x))))] is Element of [:B,a:]
{(F . (o1,(E . (o2,R)))),(g . (h,(S . (f,x))))} is set
{(F . (o1,(E . (o2,R))))} is set
{{(F . (o1,(E . (o2,R)))),(g . (h,(S . (f,x))))},{(F . (o1,(E . (o2,R))))}} is set
F . (o1,o2) is Element of B
[o1,o2] is set
{o1,o2} is set
{{o1,o2},{o1}} is set
F . [o1,o2] is set
F . (o1,R) is Element of B
[o1,R] is set
{o1,R} is set
{{o1,R},{o1}} is set
F . [o1,R] is set
E . ((F . (o1,o2)),(F . (o1,R))) is Element of B
[(F . (o1,o2)),(F . (o1,R))] is set
{(F . (o1,o2)),(F . (o1,R))} is set
{(F . (o1,o2))} is set
{{(F . (o1,o2)),(F . (o1,R))},{(F . (o1,o2))}} is set
E . [(F . (o1,o2)),(F . (o1,R))] is set
[(E . ((F . (o1,o2)),(F . (o1,R)))),(g . (h,(S . (f,x))))] is Element of [:B,a:]
{(E . ((F . (o1,o2)),(F . (o1,R)))),(g . (h,(S . (f,x))))} is set
{(E . ((F . (o1,o2)),(F . (o1,R))))} is set
{{(E . ((F . (o1,o2)),(F . (o1,R)))),(g . (h,(S . (f,x))))},{(E . ((F . (o1,o2)),(F . (o1,R))))}} is set
g . (h,f) is Element of a
[h,f] is set
{h,f} is set
{{h,f},{h}} is set
g . [h,f] is set
g . (h,x) is Element of a
[h,x] is set
{h,x} is set
{{h,x},{h}} is set
g . [h,x] is set
S . ((g . (h,f)),(g . (h,x))) is Element of a
[(g . (h,f)),(g . (h,x))] is set
{(g . (h,f)),(g . (h,x))} is set
{(g . (h,f))} is set
{{(g . (h,f)),(g . (h,x))},{(g . (h,f))}} is set
S . [(g . (h,f)),(g . (h,x))] is set
[(E . ((F . (o1,o2)),(F . (o1,R)))),(S . ((g . (h,f)),(g . (h,x))))] is Element of [:B,a:]
{(E . ((F . (o1,o2)),(F . (o1,R)))),(S . ((g . (h,f)),(g . (h,x))))} is set
{{(E . ((F . (o1,o2)),(F . (o1,R)))),(S . ((g . (h,f)),(g . (h,x))))},{(E . ((F . (o1,o2)),(F . (o1,R))))}} is set
[(F . (o1,o2)),(g . (h,f))] is Element of [:B,a:]
{(F . (o1,o2)),(g . (h,f))} is set
{{(F . (o1,o2)),(g . (h,f))},{(F . (o1,o2))}} is set
[(F . (o1,R)),(g . (h,x))] is Element of [:B,a:]
{(F . (o1,R)),(g . (h,x))} is set
{(F . (o1,R))} is set
{{(F . (o1,R)),(g . (h,x))},{(F . (o1,R))}} is set
(B,a,E,S) . ([(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]) is Element of [:B,a:]
[[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]] is set
{[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]} is Relation-like set
{[(F . (o1,o2)),(g . (h,f))]} is Relation-like Function-like set
{{[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]},{[(F . (o1,o2)),(g . (h,f))]}} is set
(B,a,E,S) . [[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]] is set
(B,a,F,g) . ([o1,h],[o2,f]) is Element of [:B,a:]
[[o1,h],[o2,f]] is set
{[o1,h],[o2,f]} is Relation-like set
{{[o1,h],[o2,f]},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],[o2,f]] is set
(B,a,E,S) . (((B,a,F,g) . ([o1,h],[o2,f])),[(F . (o1,R)),(g . (h,x))]) is Element of [:B,a:]
[((B,a,F,g) . ([o1,h],[o2,f])),[(F . (o1,R)),(g . (h,x))]] is set
{((B,a,F,g) . ([o1,h],[o2,f])),[(F . (o1,R)),(g . (h,x))]} is set
{((B,a,F,g) . ([o1,h],[o2,f]))} is set
{{((B,a,F,g) . ([o1,h],[o2,f])),[(F . (o1,R)),(g . (h,x))]},{((B,a,F,g) . ([o1,h],[o2,f]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o1,h],[o2,f])),[(F . (o1,R)),(g . (h,x))]] is set
(B,a,F,g) . ([o1,h],[R,x]) is Element of [:B,a:]
[[o1,h],[R,x]] is set
{[o1,h],[R,x]} is Relation-like set
{{[o1,h],[R,x]},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],[R,x]] is set
(B,a,E,S) . (((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))) is Element of [:B,a:]
[((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))] is set
{((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))} is set
{{((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))},{((B,a,F,g) . ([o1,h],[o2,f]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))] is set
(B,a,E,S) . ([o2,f],[R,x]) is set
(B,a,F,g) . ([o1,h],((B,a,E,S) . ([o2,f],[R,x]))) is set
[[o1,h],((B,a,E,S) . ([o2,f],[R,x]))] is set
{[o1,h],((B,a,E,S) . ([o2,f],[R,x]))} is set
{{[o1,h],((B,a,E,S) . ([o2,f],[R,x]))},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],((B,a,E,S) . ([o2,f],[R,x]))] is set
(B,a,F,g) . ([o1,h],[o2,f]) is set
(B,a,F,g) . ([o1,h],[R,x]) is set
(B,a,E,S) . (((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))) is set
[((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))] is set
{((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))} is set
{((B,a,F,g) . ([o1,h],[o2,f]))} is set
{{((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))},{((B,a,F,g) . ([o1,h],[o2,f]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))] is set
o1 is Element of B
o2 is Element of B
R is Element of B
E . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
F . (o1,(E . (o2,R))) is Element of B
[o1,(E . (o2,R))] is set
{o1,(E . (o2,R))} is set
{o1} is set
{{o1,(E . (o2,R))},{o1}} is set
F . [o1,(E . (o2,R))] is set
h is Element of a
f is Element of a
x is Element of a
S . (f,x) is Element of a
[f,x] is set
{f,x} is set
{f} is set
{{f,x},{f}} is set
S . [f,x] is set
g . (h,(S . (f,x))) is Element of a
[h,(S . (f,x))] is set
{h,(S . (f,x))} is set
{h} is set
{{h,(S . (f,x))},{h}} is set
g . [h,(S . (f,x))] is set
[(F . (o1,(E . (o2,R)))),(g . (h,(S . (f,x))))] is Element of [:B,a:]
{(F . (o1,(E . (o2,R)))),(g . (h,(S . (f,x))))} is set
{(F . (o1,(E . (o2,R))))} is set
{{(F . (o1,(E . (o2,R)))),(g . (h,(S . (f,x))))},{(F . (o1,(E . (o2,R))))}} is set
[o1,h] is Element of [:B,a:]
{o1,h} is set
{{o1,h},{o1}} is set
[(E . (o2,R)),(S . (f,x))] is Element of [:B,a:]
{(E . (o2,R)),(S . (f,x))} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),(S . (f,x))},{(E . (o2,R))}} is set
(B,a,F,g) . ([o1,h],[(E . (o2,R)),(S . (f,x))]) is Element of [:B,a:]
[[o1,h],[(E . (o2,R)),(S . (f,x))]] is set
{[o1,h],[(E . (o2,R)),(S . (f,x))]} is Relation-like set
{[o1,h]} is Relation-like Function-like set
{{[o1,h],[(E . (o2,R)),(S . (f,x))]},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],[(E . (o2,R)),(S . (f,x))]] is set
[o2,f] is Element of [:B,a:]
{o2,f} is set
{{o2,f},{o2}} is set
[R,x] is Element of [:B,a:]
{R,x} is set
{R} is set
{{R,x},{R}} is set
(B,a,E,S) . ([o2,f],[R,x]) is Element of [:B,a:]
[[o2,f],[R,x]] is set
{[o2,f],[R,x]} is Relation-like set
{[o2,f]} is Relation-like Function-like set
{{[o2,f],[R,x]},{[o2,f]}} is set
(B,a,E,S) . [[o2,f],[R,x]] is set
(B,a,F,g) . ([o1,h],((B,a,E,S) . ([o2,f],[R,x]))) is Element of [:B,a:]
[[o1,h],((B,a,E,S) . ([o2,f],[R,x]))] is set
{[o1,h],((B,a,E,S) . ([o2,f],[R,x]))} is set
{{[o1,h],((B,a,E,S) . ([o2,f],[R,x]))},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],((B,a,E,S) . ([o2,f],[R,x]))] is set
(B,a,F,g) . ([o1,h],[o2,f]) is Element of [:B,a:]
[[o1,h],[o2,f]] is set
{[o1,h],[o2,f]} is Relation-like set
{{[o1,h],[o2,f]},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],[o2,f]] is set
(B,a,F,g) . ([o1,h],[R,x]) is Element of [:B,a:]
[[o1,h],[R,x]] is set
{[o1,h],[R,x]} is Relation-like set
{{[o1,h],[R,x]},{[o1,h]}} is set
(B,a,F,g) . [[o1,h],[R,x]] is set
(B,a,E,S) . (((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))) is Element of [:B,a:]
[((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))] is set
{((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))} is set
{((B,a,F,g) . ([o1,h],[o2,f]))} is set
{{((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))},{((B,a,F,g) . ([o1,h],[o2,f]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o1,h],[o2,f])),((B,a,F,g) . ([o1,h],[R,x]))] is set
F . (o1,o2) is Element of B
[o1,o2] is set
{o1,o2} is set
{{o1,o2},{o1}} is set
F . [o1,o2] is set
g . (h,f) is Element of a
[h,f] is set
{h,f} is set
{{h,f},{h}} is set
g . [h,f] is set
[(F . (o1,o2)),(g . (h,f))] is Element of [:B,a:]
{(F . (o1,o2)),(g . (h,f))} is set
{(F . (o1,o2))} is set
{{(F . (o1,o2)),(g . (h,f))},{(F . (o1,o2))}} is set
(B,a,E,S) . ([(F . (o1,o2)),(g . (h,f))],((B,a,F,g) . ([o1,h],[R,x]))) is Element of [:B,a:]
[[(F . (o1,o2)),(g . (h,f))],((B,a,F,g) . ([o1,h],[R,x]))] is set
{[(F . (o1,o2)),(g . (h,f))],((B,a,F,g) . ([o1,h],[R,x]))} is set
{[(F . (o1,o2)),(g . (h,f))]} is Relation-like Function-like set
{{[(F . (o1,o2)),(g . (h,f))],((B,a,F,g) . ([o1,h],[R,x]))},{[(F . (o1,o2)),(g . (h,f))]}} is set
(B,a,E,S) . [[(F . (o1,o2)),(g . (h,f))],((B,a,F,g) . ([o1,h],[R,x]))] is set
F . (o1,R) is Element of B
[o1,R] is set
{o1,R} is set
{{o1,R},{o1}} is set
F . [o1,R] is set
g . (h,x) is Element of a
[h,x] is set
{h,x} is set
{{h,x},{h}} is set
g . [h,x] is set
[(F . (o1,R)),(g . (h,x))] is Element of [:B,a:]
{(F . (o1,R)),(g . (h,x))} is set
{(F . (o1,R))} is set
{{(F . (o1,R)),(g . (h,x))},{(F . (o1,R))}} is set
(B,a,E,S) . ([(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]) is Element of [:B,a:]
[[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]] is set
{[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]} is Relation-like set
{{[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]},{[(F . (o1,o2)),(g . (h,f))]}} is set
(B,a,E,S) . [[(F . (o1,o2)),(g . (h,f))],[(F . (o1,R)),(g . (h,x))]] is set
E . ((F . (o1,o2)),(F . (o1,R))) is Element of B
[(F . (o1,o2)),(F . (o1,R))] is set
{(F . (o1,o2)),(F . (o1,R))} is set
{{(F . (o1,o2)),(F . (o1,R))},{(F . (o1,o2))}} is set
E . [(F . (o1,o2)),(F . (o1,R))] is set
S . ((g . (h,f)),(g . (h,x))) is Element of a
[(g . (h,f)),(g . (h,x))] is set
{(g . (h,f)),(g . (h,x))} is set
{(g . (h,f))} is set
{{(g . (h,f)),(g . (h,x))},{(g . (h,f))}} is set
S . [(g . (h,f)),(g . (h,x))] is set
[(E . ((F . (o1,o2)),(F . (o1,R)))),(S . ((g . (h,f)),(g . (h,x))))] is Element of [:B,a:]
{(E . ((F . (o1,o2)),(F . (o1,R)))),(S . ((g . (h,f)),(g . (h,x))))} is set
{(E . ((F . (o1,o2)),(F . (o1,R))))} is set
{{(E . ((F . (o1,o2)),(F . (o1,R)))),(S . ((g . (h,f)),(g . (h,x))))},{(E . ((F . (o1,o2)),(F . (o1,R))))}} is set
the Element of a is Element of a
o2 is Element of B
R is Element of B
F . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
F . [o2,R] is set
h is Element of B
E . (R,h) is Element of B
[R,h] is set
{R,h} is set
{R} is set
{{R,h},{R}} is set
E . [R,h] is set
F . (o2,(E . (R,h))) is Element of B
[o2,(E . (R,h))] is set
{o2,(E . (R,h))} is set
{{o2,(E . (R,h))},{o2}} is set
F . [o2,(E . (R,h))] is set
F . (o2,h) is Element of B
[o2,h] is set
{o2,h} is set
{{o2,h},{o2}} is set
F . [o2,h] is set
E . ((F . (o2,R)),(F . (o2,h))) is Element of B
[(F . (o2,R)),(F . (o2,h))] is set
{(F . (o2,R)),(F . (o2,h))} is set
{(F . (o2,R))} is set
{{(F . (o2,R)),(F . (o2,h))},{(F . (o2,R))}} is set
E . [(F . (o2,R)),(F . (o2,h))] is set
S . ( the Element of a, the Element of a) is Element of a
[ the Element of a, the Element of a] is set
{ the Element of a, the Element of a} is set
{ the Element of a} is set
{{ the Element of a, the Element of a},{ the Element of a}} is set
S . [ the Element of a, the Element of a] is set
g . ( the Element of a,(S . ( the Element of a, the Element of a))) is Element of a
[ the Element of a,(S . ( the Element of a, the Element of a))] is set
{ the Element of a,(S . ( the Element of a, the Element of a))} is set
{{ the Element of a,(S . ( the Element of a, the Element of a))},{ the Element of a}} is set
g . [ the Element of a,(S . ( the Element of a, the Element of a))] is set
[(F . (o2,(E . (R,h)))),(g . ( the Element of a,(S . ( the Element of a, the Element of a))))] is Element of [:B,a:]
{(F . (o2,(E . (R,h)))),(g . ( the Element of a,(S . ( the Element of a, the Element of a))))} is set
{(F . (o2,(E . (R,h))))} is set
{{(F . (o2,(E . (R,h)))),(g . ( the Element of a,(S . ( the Element of a, the Element of a))))},{(F . (o2,(E . (R,h))))}} is set
g . ( the Element of a, the Element of a) is Element of a
g . [ the Element of a, the Element of a] is set
S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))) is Element of a
[(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))] is set
{(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))} is set
{(g . ( the Element of a, the Element of a))} is set
{{(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))},{(g . ( the Element of a, the Element of a))}} is set
S . [(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))] is set
[(E . ((F . (o2,R)),(F . (o2,h)))),(S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))))] is Element of [:B,a:]
{(E . ((F . (o2,R)),(F . (o2,h)))),(S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))))} is set
{(E . ((F . (o2,R)),(F . (o2,h))))} is set
{{(E . ((F . (o2,R)),(F . (o2,h)))),(S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))))},{(E . ((F . (o2,R)),(F . (o2,h))))}} is set
the Element of B is Element of B
o2 is Element of a
R is Element of a
g . (o2,R) is Element of a
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
g . [o2,R] is set
h is Element of a
S . (R,h) is Element of a
[R,h] is set
{R,h} is set
{R} is set
{{R,h},{R}} is set
S . [R,h] is set
g . (o2,(S . (R,h))) is Element of a
[o2,(S . (R,h))] is set
{o2,(S . (R,h))} is set
{{o2,(S . (R,h))},{o2}} is set
g . [o2,(S . (R,h))] is set
g . (o2,h) is Element of a
[o2,h] is set
{o2,h} is set
{{o2,h},{o2}} is set
g . [o2,h] is set
S . ((g . (o2,R)),(g . (o2,h))) is Element of a
[(g . (o2,R)),(g . (o2,h))] is set
{(g . (o2,R)),(g . (o2,h))} is set
{(g . (o2,R))} is set
{{(g . (o2,R)),(g . (o2,h))},{(g . (o2,R))}} is set
S . [(g . (o2,R)),(g . (o2,h))] is set
E . ( the Element of B, the Element of B) is Element of B
[ the Element of B, the Element of B] is set
{ the Element of B, the Element of B} is set
{ the Element of B} is set
{{ the Element of B, the Element of B},{ the Element of B}} is set
E . [ the Element of B, the Element of B] is set
F . ( the Element of B,(E . ( the Element of B, the Element of B))) is Element of B
[ the Element of B,(E . ( the Element of B, the Element of B))] is set
{ the Element of B,(E . ( the Element of B, the Element of B))} is set
{{ the Element of B,(E . ( the Element of B, the Element of B))},{ the Element of B}} is set
F . [ the Element of B,(E . ( the Element of B, the Element of B))] is set
S . (R,h) is Element of a
g . (o2,(S . (R,h))) is Element of a
[o2,(S . (R,h))] is set
{o2,(S . (R,h))} is set
{{o2,(S . (R,h))},{o2}} is set
g . [o2,(S . (R,h))] is set
[(F . ( the Element of B,(E . ( the Element of B, the Element of B)))),(g . (o2,(S . (R,h))))] is Element of [:B,a:]
{(F . ( the Element of B,(E . ( the Element of B, the Element of B)))),(g . (o2,(S . (R,h))))} is set
{(F . ( the Element of B,(E . ( the Element of B, the Element of B))))} is set
{{(F . ( the Element of B,(E . ( the Element of B, the Element of B)))),(g . (o2,(S . (R,h))))},{(F . ( the Element of B,(E . ( the Element of B, the Element of B))))}} is set
F . ( the Element of B, the Element of B) is Element of B
F . [ the Element of B, the Element of B] is set
E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))) is Element of B
[(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))] is set
{(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))} is set
{(F . ( the Element of B, the Element of B))} is set
{{(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))},{(F . ( the Element of B, the Element of B))}} is set
E . [(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))] is set
g . (o2,R) is Element of a
g . (o2,h) is Element of a
S . ((g . (o2,R)),(g . (o2,h))) is Element of a
[(g . (o2,R)),(g . (o2,h))] is set
{(g . (o2,R)),(g . (o2,h))} is set
{(g . (o2,R))} is set
{{(g . (o2,R)),(g . (o2,h))},{(g . (o2,R))}} is set
S . [(g . (o2,R)),(g . (o2,h))] is set
[(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B)))),(S . ((g . (o2,R)),(g . (o2,h))))] is Element of [:B,a:]
{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B)))),(S . ((g . (o2,R)),(g . (o2,h))))} is set
{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))))} is set
{{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B)))),(S . ((g . (o2,R)),(g . (o2,h))))},{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))))}} is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
g is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,F,g) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,E,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
o2 is Element of B
f is Element of a
[o2,f] is Element of [:B,a:]
{o2,f} is set
{o2} is set
{{o2,f},{o2}} is set
R is Element of B
x is Element of a
[R,x] is Element of [:B,a:]
{R,x} is set
{R} is set
{{R,x},{R}} is set
(B,a,E,S) . ([o2,f],[R,x]) is Element of [:B,a:]
[[o2,f],[R,x]] is set
{[o2,f],[R,x]} is Relation-like set
{[o2,f]} is Relation-like Function-like set
{{[o2,f],[R,x]},{[o2,f]}} is set
(B,a,E,S) . [[o2,f],[R,x]] is set
o1 is Element of B
h is Element of a
[o1,h] is Element of [:B,a:]
{o1,h} is set
{o1} is set
{{o1,h},{o1}} is set
(B,a,F,g) . (((B,a,E,S) . ([o2,f],[R,x])),[o1,h]) is Element of [:B,a:]
[((B,a,E,S) . ([o2,f],[R,x])),[o1,h]] is set
{((B,a,E,S) . ([o2,f],[R,x])),[o1,h]} is set
{((B,a,E,S) . ([o2,f],[R,x]))} is set
{{((B,a,E,S) . ([o2,f],[R,x])),[o1,h]},{((B,a,E,S) . ([o2,f],[R,x]))}} is set
(B,a,F,g) . [((B,a,E,S) . ([o2,f],[R,x])),[o1,h]] is set
E . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
S . (f,x) is Element of a
[f,x] is set
{f,x} is set
{f} is set
{{f,x},{f}} is set
S . [f,x] is set
[(E . (o2,R)),(S . (f,x))] is Element of [:B,a:]
{(E . (o2,R)),(S . (f,x))} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),(S . (f,x))},{(E . (o2,R))}} is set
(B,a,F,g) . ([(E . (o2,R)),(S . (f,x))],[o1,h]) is Element of [:B,a:]
[[(E . (o2,R)),(S . (f,x))],[o1,h]] is set
{[(E . (o2,R)),(S . (f,x))],[o1,h]} is Relation-like set
{[(E . (o2,R)),(S . (f,x))]} is Relation-like Function-like set
{{[(E . (o2,R)),(S . (f,x))],[o1,h]},{[(E . (o2,R)),(S . (f,x))]}} is set
(B,a,F,g) . [[(E . (o2,R)),(S . (f,x))],[o1,h]] is set
F . ((E . (o2,R)),o1) is Element of B
[(E . (o2,R)),o1] is set
{(E . (o2,R)),o1} is set
{{(E . (o2,R)),o1},{(E . (o2,R))}} is set
F . [(E . (o2,R)),o1] is set
g . ((S . (f,x)),h) is Element of a
[(S . (f,x)),h] is set
{(S . (f,x)),h} is set
{(S . (f,x))} is set
{{(S . (f,x)),h},{(S . (f,x))}} is set
g . [(S . (f,x)),h] is set
[(F . ((E . (o2,R)),o1)),(g . ((S . (f,x)),h))] is Element of [:B,a:]
{(F . ((E . (o2,R)),o1)),(g . ((S . (f,x)),h))} is set
{(F . ((E . (o2,R)),o1))} is set
{{(F . ((E . (o2,R)),o1)),(g . ((S . (f,x)),h))},{(F . ((E . (o2,R)),o1))}} is set
F . (o2,o1) is Element of B
[o2,o1] is set
{o2,o1} is set
{{o2,o1},{o2}} is set
F . [o2,o1] is set
F . (R,o1) is Element of B
[R,o1] is set
{R,o1} is set
{{R,o1},{R}} is set
F . [R,o1] is set
E . ((F . (o2,o1)),(F . (R,o1))) is Element of B
[(F . (o2,o1)),(F . (R,o1))] is set
{(F . (o2,o1)),(F . (R,o1))} is set
{(F . (o2,o1))} is set
{{(F . (o2,o1)),(F . (R,o1))},{(F . (o2,o1))}} is set
E . [(F . (o2,o1)),(F . (R,o1))] is set
[(E . ((F . (o2,o1)),(F . (R,o1)))),(g . ((S . (f,x)),h))] is Element of [:B,a:]
{(E . ((F . (o2,o1)),(F . (R,o1)))),(g . ((S . (f,x)),h))} is set
{(E . ((F . (o2,o1)),(F . (R,o1))))} is set
{{(E . ((F . (o2,o1)),(F . (R,o1)))),(g . ((S . (f,x)),h))},{(E . ((F . (o2,o1)),(F . (R,o1))))}} is set
g . (f,h) is Element of a
[f,h] is set
{f,h} is set
{{f,h},{f}} is set
g . [f,h] is set
g . (x,h) is Element of a
[x,h] is set
{x,h} is set
{x} is set
{{x,h},{x}} is set
g . [x,h] is set
S . ((g . (f,h)),(g . (x,h))) is Element of a
[(g . (f,h)),(g . (x,h))] is set
{(g . (f,h)),(g . (x,h))} is set
{(g . (f,h))} is set
{{(g . (f,h)),(g . (x,h))},{(g . (f,h))}} is set
S . [(g . (f,h)),(g . (x,h))] is set
[(E . ((F . (o2,o1)),(F . (R,o1)))),(S . ((g . (f,h)),(g . (x,h))))] is Element of [:B,a:]
{(E . ((F . (o2,o1)),(F . (R,o1)))),(S . ((g . (f,h)),(g . (x,h))))} is set
{{(E . ((F . (o2,o1)),(F . (R,o1)))),(S . ((g . (f,h)),(g . (x,h))))},{(E . ((F . (o2,o1)),(F . (R,o1))))}} is set
[(F . (o2,o1)),(g . (f,h))] is Element of [:B,a:]
{(F . (o2,o1)),(g . (f,h))} is set
{{(F . (o2,o1)),(g . (f,h))},{(F . (o2,o1))}} is set
[(F . (R,o1)),(g . (x,h))] is Element of [:B,a:]
{(F . (R,o1)),(g . (x,h))} is set
{(F . (R,o1))} is set
{{(F . (R,o1)),(g . (x,h))},{(F . (R,o1))}} is set
(B,a,E,S) . ([(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]) is Element of [:B,a:]
[[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]] is set
{[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]} is Relation-like set
{[(F . (o2,o1)),(g . (f,h))]} is Relation-like Function-like set
{{[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]},{[(F . (o2,o1)),(g . (f,h))]}} is set
(B,a,E,S) . [[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]] is set
(B,a,F,g) . ([o2,f],[o1,h]) is Element of [:B,a:]
[[o2,f],[o1,h]] is set
{[o2,f],[o1,h]} is Relation-like set
{{[o2,f],[o1,h]},{[o2,f]}} is set
(B,a,F,g) . [[o2,f],[o1,h]] is set
(B,a,E,S) . (((B,a,F,g) . ([o2,f],[o1,h])),[(F . (R,o1)),(g . (x,h))]) is Element of [:B,a:]
[((B,a,F,g) . ([o2,f],[o1,h])),[(F . (R,o1)),(g . (x,h))]] is set
{((B,a,F,g) . ([o2,f],[o1,h])),[(F . (R,o1)),(g . (x,h))]} is set
{((B,a,F,g) . ([o2,f],[o1,h]))} is set
{{((B,a,F,g) . ([o2,f],[o1,h])),[(F . (R,o1)),(g . (x,h))]},{((B,a,F,g) . ([o2,f],[o1,h]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o2,f],[o1,h])),[(F . (R,o1)),(g . (x,h))]] is set
(B,a,F,g) . ([R,x],[o1,h]) is Element of [:B,a:]
[[R,x],[o1,h]] is set
{[R,x],[o1,h]} is Relation-like set
{[R,x]} is Relation-like Function-like set
{{[R,x],[o1,h]},{[R,x]}} is set
(B,a,F,g) . [[R,x],[o1,h]] is set
(B,a,E,S) . (((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))) is Element of [:B,a:]
[((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))] is set
{((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))} is set
{{((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))},{((B,a,F,g) . ([o2,f],[o1,h]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))] is set
(B,a,E,S) . ([o2,f],[R,x]) is set
(B,a,F,g) . (((B,a,E,S) . ([o2,f],[R,x])),[o1,h]) is set
[((B,a,E,S) . ([o2,f],[R,x])),[o1,h]] is set
{((B,a,E,S) . ([o2,f],[R,x])),[o1,h]} is set
{((B,a,E,S) . ([o2,f],[R,x]))} is set
{{((B,a,E,S) . ([o2,f],[R,x])),[o1,h]},{((B,a,E,S) . ([o2,f],[R,x]))}} is set
(B,a,F,g) . [((B,a,E,S) . ([o2,f],[R,x])),[o1,h]] is set
(B,a,F,g) . ([o2,f],[o1,h]) is set
(B,a,F,g) . ([R,x],[o1,h]) is set
(B,a,E,S) . (((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))) is set
[((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))] is set
{((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))} is set
{((B,a,F,g) . ([o2,f],[o1,h]))} is set
{{((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))},{((B,a,F,g) . ([o2,f],[o1,h]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))] is set
o1 is Element of [:B,a:]
o2 is Element of [:B,a:]
(B,a,E,S) . (o1,o2) is set
[o1,o2] is set
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
(B,a,E,S) . [o1,o2] is set
R is Element of [:B,a:]
(B,a,F,g) . (((B,a,E,S) . (o1,o2)),R) is set
[((B,a,E,S) . (o1,o2)),R] is set
{((B,a,E,S) . (o1,o2)),R} is set
{((B,a,E,S) . (o1,o2))} is set
{{((B,a,E,S) . (o1,o2)),R},{((B,a,E,S) . (o1,o2))}} is set
(B,a,F,g) . [((B,a,E,S) . (o1,o2)),R] is set
(B,a,F,g) . (o1,R) is set
[o1,R] is set
{o1,R} is set
{{o1,R},{o1}} is set
(B,a,F,g) . [o1,R] is set
(B,a,F,g) . (o2,R) is set
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
(B,a,F,g) . [o2,R] is set
(B,a,E,S) . (((B,a,F,g) . (o1,R)),((B,a,F,g) . (o2,R))) is set
[((B,a,F,g) . (o1,R)),((B,a,F,g) . (o2,R))] is set
{((B,a,F,g) . (o1,R)),((B,a,F,g) . (o2,R))} is set
{((B,a,F,g) . (o1,R))} is set
{{((B,a,F,g) . (o1,R)),((B,a,F,g) . (o2,R))},{((B,a,F,g) . (o1,R))}} is set
(B,a,E,S) . [((B,a,F,g) . (o1,R)),((B,a,F,g) . (o2,R))] is set
o2 is Element of B
R is Element of B
E . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
o1 is Element of B
F . ((E . (o2,R)),o1) is Element of B
[(E . (o2,R)),o1] is set
{(E . (o2,R)),o1} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),o1},{(E . (o2,R))}} is set
F . [(E . (o2,R)),o1] is set
f is Element of a
x is Element of a
S . (f,x) is Element of a
[f,x] is set
{f,x} is set
{f} is set
{{f,x},{f}} is set
S . [f,x] is set
h is Element of a
g . ((S . (f,x)),h) is Element of a
[(S . (f,x)),h] is set
{(S . (f,x)),h} is set
{(S . (f,x))} is set
{{(S . (f,x)),h},{(S . (f,x))}} is set
g . [(S . (f,x)),h] is set
[(F . ((E . (o2,R)),o1)),(g . ((S . (f,x)),h))] is Element of [:B,a:]
{(F . ((E . (o2,R)),o1)),(g . ((S . (f,x)),h))} is set
{(F . ((E . (o2,R)),o1))} is set
{{(F . ((E . (o2,R)),o1)),(g . ((S . (f,x)),h))},{(F . ((E . (o2,R)),o1))}} is set
[(E . (o2,R)),(S . (f,x))] is Element of [:B,a:]
{(E . (o2,R)),(S . (f,x))} is set
{{(E . (o2,R)),(S . (f,x))},{(E . (o2,R))}} is set
[o1,h] is Element of [:B,a:]
{o1,h} is set
{o1} is set
{{o1,h},{o1}} is set
(B,a,F,g) . ([(E . (o2,R)),(S . (f,x))],[o1,h]) is Element of [:B,a:]
[[(E . (o2,R)),(S . (f,x))],[o1,h]] is set
{[(E . (o2,R)),(S . (f,x))],[o1,h]} is Relation-like set
{[(E . (o2,R)),(S . (f,x))]} is Relation-like Function-like set
{{[(E . (o2,R)),(S . (f,x))],[o1,h]},{[(E . (o2,R)),(S . (f,x))]}} is set
(B,a,F,g) . [[(E . (o2,R)),(S . (f,x))],[o1,h]] is set
[o2,f] is Element of [:B,a:]
{o2,f} is set
{{o2,f},{o2}} is set
[R,x] is Element of [:B,a:]
{R,x} is set
{R} is set
{{R,x},{R}} is set
(B,a,E,S) . ([o2,f],[R,x]) is Element of [:B,a:]
[[o2,f],[R,x]] is set
{[o2,f],[R,x]} is Relation-like set
{[o2,f]} is Relation-like Function-like set
{{[o2,f],[R,x]},{[o2,f]}} is set
(B,a,E,S) . [[o2,f],[R,x]] is set
(B,a,F,g) . (((B,a,E,S) . ([o2,f],[R,x])),[o1,h]) is Element of [:B,a:]
[((B,a,E,S) . ([o2,f],[R,x])),[o1,h]] is set
{((B,a,E,S) . ([o2,f],[R,x])),[o1,h]} is set
{((B,a,E,S) . ([o2,f],[R,x]))} is set
{{((B,a,E,S) . ([o2,f],[R,x])),[o1,h]},{((B,a,E,S) . ([o2,f],[R,x]))}} is set
(B,a,F,g) . [((B,a,E,S) . ([o2,f],[R,x])),[o1,h]] is set
(B,a,F,g) . ([o2,f],[o1,h]) is Element of [:B,a:]
[[o2,f],[o1,h]] is set
{[o2,f],[o1,h]} is Relation-like set
{{[o2,f],[o1,h]},{[o2,f]}} is set
(B,a,F,g) . [[o2,f],[o1,h]] is set
(B,a,F,g) . ([R,x],[o1,h]) is Element of [:B,a:]
[[R,x],[o1,h]] is set
{[R,x],[o1,h]} is Relation-like set
{[R,x]} is Relation-like Function-like set
{{[R,x],[o1,h]},{[R,x]}} is set
(B,a,F,g) . [[R,x],[o1,h]] is set
(B,a,E,S) . (((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))) is Element of [:B,a:]
[((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))] is set
{((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))} is set
{((B,a,F,g) . ([o2,f],[o1,h]))} is set
{{((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))},{((B,a,F,g) . ([o2,f],[o1,h]))}} is set
(B,a,E,S) . [((B,a,F,g) . ([o2,f],[o1,h])),((B,a,F,g) . ([R,x],[o1,h]))] is set
F . (o2,o1) is Element of B
[o2,o1] is set
{o2,o1} is set
{{o2,o1},{o2}} is set
F . [o2,o1] is set
g . (f,h) is Element of a
[f,h] is set
{f,h} is set
{{f,h},{f}} is set
g . [f,h] is set
[(F . (o2,o1)),(g . (f,h))] is Element of [:B,a:]
{(F . (o2,o1)),(g . (f,h))} is set
{(F . (o2,o1))} is set
{{(F . (o2,o1)),(g . (f,h))},{(F . (o2,o1))}} is set
(B,a,E,S) . ([(F . (o2,o1)),(g . (f,h))],((B,a,F,g) . ([R,x],[o1,h]))) is Element of [:B,a:]
[[(F . (o2,o1)),(g . (f,h))],((B,a,F,g) . ([R,x],[o1,h]))] is set
{[(F . (o2,o1)),(g . (f,h))],((B,a,F,g) . ([R,x],[o1,h]))} is set
{[(F . (o2,o1)),(g . (f,h))]} is Relation-like Function-like set
{{[(F . (o2,o1)),(g . (f,h))],((B,a,F,g) . ([R,x],[o1,h]))},{[(F . (o2,o1)),(g . (f,h))]}} is set
(B,a,E,S) . [[(F . (o2,o1)),(g . (f,h))],((B,a,F,g) . ([R,x],[o1,h]))] is set
F . (R,o1) is Element of B
[R,o1] is set
{R,o1} is set
{{R,o1},{R}} is set
F . [R,o1] is set
g . (x,h) is Element of a
[x,h] is set
{x,h} is set
{x} is set
{{x,h},{x}} is set
g . [x,h] is set
[(F . (R,o1)),(g . (x,h))] is Element of [:B,a:]
{(F . (R,o1)),(g . (x,h))} is set
{(F . (R,o1))} is set
{{(F . (R,o1)),(g . (x,h))},{(F . (R,o1))}} is set
(B,a,E,S) . ([(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]) is Element of [:B,a:]
[[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]] is set
{[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]} is Relation-like set
{{[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]},{[(F . (o2,o1)),(g . (f,h))]}} is set
(B,a,E,S) . [[(F . (o2,o1)),(g . (f,h))],[(F . (R,o1)),(g . (x,h))]] is set
E . ((F . (o2,o1)),(F . (R,o1))) is Element of B
[(F . (o2,o1)),(F . (R,o1))] is set
{(F . (o2,o1)),(F . (R,o1))} is set
{{(F . (o2,o1)),(F . (R,o1))},{(F . (o2,o1))}} is set
E . [(F . (o2,o1)),(F . (R,o1))] is set
S . ((g . (f,h)),(g . (x,h))) is Element of a
[(g . (f,h)),(g . (x,h))] is set
{(g . (f,h)),(g . (x,h))} is set
{(g . (f,h))} is set
{{(g . (f,h)),(g . (x,h))},{(g . (f,h))}} is set
S . [(g . (f,h)),(g . (x,h))] is set
[(E . ((F . (o2,o1)),(F . (R,o1)))),(S . ((g . (f,h)),(g . (x,h))))] is Element of [:B,a:]
{(E . ((F . (o2,o1)),(F . (R,o1)))),(S . ((g . (f,h)),(g . (x,h))))} is set
{(E . ((F . (o2,o1)),(F . (R,o1))))} is set
{{(E . ((F . (o2,o1)),(F . (R,o1)))),(S . ((g . (f,h)),(g . (x,h))))},{(E . ((F . (o2,o1)),(F . (R,o1))))}} is set
the Element of a is Element of a
o2 is Element of B
R is Element of B
E . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
h is Element of B
F . ((E . (o2,R)),h) is Element of B
[(E . (o2,R)),h] is set
{(E . (o2,R)),h} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),h},{(E . (o2,R))}} is set
F . [(E . (o2,R)),h] is set
F . (o2,h) is Element of B
[o2,h] is set
{o2,h} is set
{{o2,h},{o2}} is set
F . [o2,h] is set
F . (R,h) is Element of B
[R,h] is set
{R,h} is set
{R} is set
{{R,h},{R}} is set
F . [R,h] is set
E . ((F . (o2,h)),(F . (R,h))) is Element of B
[(F . (o2,h)),(F . (R,h))] is set
{(F . (o2,h)),(F . (R,h))} is set
{(F . (o2,h))} is set
{{(F . (o2,h)),(F . (R,h))},{(F . (o2,h))}} is set
E . [(F . (o2,h)),(F . (R,h))] is set
S . ( the Element of a, the Element of a) is Element of a
[ the Element of a, the Element of a] is set
{ the Element of a, the Element of a} is set
{ the Element of a} is set
{{ the Element of a, the Element of a},{ the Element of a}} is set
S . [ the Element of a, the Element of a] is set
g . ((S . ( the Element of a, the Element of a)), the Element of a) is Element of a
[(S . ( the Element of a, the Element of a)), the Element of a] is set
{(S . ( the Element of a, the Element of a)), the Element of a} is set
{(S . ( the Element of a, the Element of a))} is set
{{(S . ( the Element of a, the Element of a)), the Element of a},{(S . ( the Element of a, the Element of a))}} is set
g . [(S . ( the Element of a, the Element of a)), the Element of a] is set
[(F . ((E . (o2,R)),h)),(g . ((S . ( the Element of a, the Element of a)), the Element of a))] is Element of [:B,a:]
{(F . ((E . (o2,R)),h)),(g . ((S . ( the Element of a, the Element of a)), the Element of a))} is set
{(F . ((E . (o2,R)),h))} is set
{{(F . ((E . (o2,R)),h)),(g . ((S . ( the Element of a, the Element of a)), the Element of a))},{(F . ((E . (o2,R)),h))}} is set
g . ( the Element of a, the Element of a) is Element of a
g . [ the Element of a, the Element of a] is set
S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))) is Element of a
[(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))] is set
{(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))} is set
{(g . ( the Element of a, the Element of a))} is set
{{(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))},{(g . ( the Element of a, the Element of a))}} is set
S . [(g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))] is set
[(E . ((F . (o2,h)),(F . (R,h)))),(S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))))] is Element of [:B,a:]
{(E . ((F . (o2,h)),(F . (R,h)))),(S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))))} is set
{(E . ((F . (o2,h)),(F . (R,h))))} is set
{{(E . ((F . (o2,h)),(F . (R,h)))),(S . ((g . ( the Element of a, the Element of a)),(g . ( the Element of a, the Element of a))))},{(E . ((F . (o2,h)),(F . (R,h))))}} is set
the Element of B is Element of B
o2 is Element of a
R is Element of a
S . (o2,R) is Element of a
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
S . [o2,R] is set
h is Element of a
g . ((S . (o2,R)),h) is Element of a
[(S . (o2,R)),h] is set
{(S . (o2,R)),h} is set
{(S . (o2,R))} is set
{{(S . (o2,R)),h},{(S . (o2,R))}} is set
g . [(S . (o2,R)),h] is set
g . (o2,h) is Element of a
[o2,h] is set
{o2,h} is set
{{o2,h},{o2}} is set
g . [o2,h] is set
g . (R,h) is Element of a
[R,h] is set
{R,h} is set
{R} is set
{{R,h},{R}} is set
g . [R,h] is set
S . ((g . (o2,h)),(g . (R,h))) is Element of a
[(g . (o2,h)),(g . (R,h))] is set
{(g . (o2,h)),(g . (R,h))} is set
{(g . (o2,h))} is set
{{(g . (o2,h)),(g . (R,h))},{(g . (o2,h))}} is set
S . [(g . (o2,h)),(g . (R,h))] is set
E . ( the Element of B, the Element of B) is Element of B
[ the Element of B, the Element of B] is set
{ the Element of B, the Element of B} is set
{ the Element of B} is set
{{ the Element of B, the Element of B},{ the Element of B}} is set
E . [ the Element of B, the Element of B] is set
F . ((E . ( the Element of B, the Element of B)), the Element of B) is Element of B
[(E . ( the Element of B, the Element of B)), the Element of B] is set
{(E . ( the Element of B, the Element of B)), the Element of B} is set
{(E . ( the Element of B, the Element of B))} is set
{{(E . ( the Element of B, the Element of B)), the Element of B},{(E . ( the Element of B, the Element of B))}} is set
F . [(E . ( the Element of B, the Element of B)), the Element of B] is set
S . (o2,R) is Element of a
g . ((S . (o2,R)),h) is Element of a
[(S . (o2,R)),h] is set
{(S . (o2,R)),h} is set
{(S . (o2,R))} is set
{{(S . (o2,R)),h},{(S . (o2,R))}} is set
g . [(S . (o2,R)),h] is set
[(F . ((E . ( the Element of B, the Element of B)), the Element of B)),(g . ((S . (o2,R)),h))] is Element of [:B,a:]
{(F . ((E . ( the Element of B, the Element of B)), the Element of B)),(g . ((S . (o2,R)),h))} is set
{(F . ((E . ( the Element of B, the Element of B)), the Element of B))} is set
{{(F . ((E . ( the Element of B, the Element of B)), the Element of B)),(g . ((S . (o2,R)),h))},{(F . ((E . ( the Element of B, the Element of B)), the Element of B))}} is set
F . ( the Element of B, the Element of B) is Element of B
F . [ the Element of B, the Element of B] is set
E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))) is Element of B
[(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))] is set
{(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))} is set
{(F . ( the Element of B, the Element of B))} is set
{{(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))},{(F . ( the Element of B, the Element of B))}} is set
E . [(F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))] is set
g . (o2,h) is Element of a
g . (R,h) is Element of a
S . ((g . (o2,h)),(g . (R,h))) is Element of a
[(g . (o2,h)),(g . (R,h))] is set
{(g . (o2,h)),(g . (R,h))} is set
{(g . (o2,h))} is set
{{(g . (o2,h)),(g . (R,h))},{(g . (o2,h))}} is set
S . [(g . (o2,h)),(g . (R,h))] is set
[(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B)))),(S . ((g . (o2,h)),(g . (R,h))))] is Element of [:B,a:]
{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B)))),(S . ((g . (o2,h)),(g . (R,h))))} is set
{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))))} is set
{{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B)))),(S . ((g . (o2,h)),(g . (R,h))))},{(E . ((F . ( the Element of B, the Element of B)),(F . ( the Element of B, the Element of B))))}} is set
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
g is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,F,g) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,E,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
B is non empty set
[:B,B:] is Relation-like non empty set
[:[:B,B:],B:] is Relation-like non empty set
bool [:[:B,B:],B:] is non empty set
a is non empty set
[:a,a:] is Relation-like non empty set
[:[:a,a:],a:] is Relation-like non empty set
bool [:[:a,a:],a:] is non empty set
[:B,a:] is Relation-like non empty set
F is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
E is Relation-like [:B,B:] -defined B -valued Function-like non empty total V20([:B,B:],B) Element of bool [:[:B,B:],B:]
g is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,F,g) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
[:[:B,a:],[:B,a:]:] is Relation-like non empty set
[:[:[:B,a:],[:B,a:]:],[:B,a:]:] is Relation-like non empty set
bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:] is non empty set
S is Relation-like [:a,a:] -defined a -valued Function-like non empty total V20([:a,a:],a) Element of bool [:[:a,a:],a:]
(B,a,E,S) is Relation-like [:[:B,a:],[:B,a:]:] -defined [:B,a:] -valued Function-like non empty total V20([:[:B,a:],[:B,a:]:],[:B,a:]) Element of bool [:[:[:B,a:],[:B,a:]:],[:B,a:]:]
o1 is Element of B
o2 is Element of B
R is Element of a
[o1,R] is Element of [:B,a:]
{o1,R} is set
{o1} is set
{{o1,R},{o1}} is set
h is Element of a
[o2,h] is Element of [:B,a:]
{o2,h} is set
{o2} is set
{{o2,h},{o2}} is set
(B,a,E,S) . ([o1,R],[o2,h]) is set
[[o1,R],[o2,h]] is set
{[o1,R],[o2,h]} is Relation-like set
{[o1,R]} is Relation-like Function-like set
{{[o1,R],[o2,h]},{[o1,R]}} is set
(B,a,E,S) . [[o1,R],[o2,h]] is set
(B,a,F,g) . ([o1,R],((B,a,E,S) . ([o1,R],[o2,h]))) is set
[[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))] is set
{[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))} is set
{{[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))},{[o1,R]}} is set
(B,a,F,g) . [[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))] is set
(B,a,E,S) . ([o1,R],[o2,h]) is Element of [:B,a:]
(B,a,F,g) . ([o1,R],((B,a,E,S) . ([o1,R],[o2,h]))) is Element of [:B,a:]
[[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))] is set
{[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))} is set
{{[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))},{[o1,R]}} is set
(B,a,F,g) . [[o1,R],((B,a,E,S) . ([o1,R],[o2,h]))] is set
E . (o1,o2) is Element of B
[o1,o2] is set
{o1,o2} is set
{{o1,o2},{o1}} is set
E . [o1,o2] is set
S . (R,h) is Element of a
[R,h] is set
{R,h} is set
{R} is set
{{R,h},{R}} is set
S . [R,h] is set
[(E . (o1,o2)),(S . (R,h))] is Element of [:B,a:]
{(E . (o1,o2)),(S . (R,h))} is set
{(E . (o1,o2))} is set
{{(E . (o1,o2)),(S . (R,h))},{(E . (o1,o2))}} is set
(B,a,F,g) . ([o1,R],[(E . (o1,o2)),(S . (R,h))]) is Element of [:B,a:]
[[o1,R],[(E . (o1,o2)),(S . (R,h))]] is set
{[o1,R],[(E . (o1,o2)),(S . (R,h))]} is Relation-like set
{{[o1,R],[(E . (o1,o2)),(S . (R,h))]},{[o1,R]}} is set
(B,a,F,g) . [[o1,R],[(E . (o1,o2)),(S . (R,h))]] is set
F . (o1,(E . (o1,o2))) is Element of B
[o1,(E . (o1,o2))] is set
{o1,(E . (o1,o2))} is set
{{o1,(E . (o1,o2))},{o1}} is set
F . [o1,(E . (o1,o2))] is set
g . (R,(S . (R,h))) is Element of a
[R,(S . (R,h))] is set
{R,(S . (R,h))} is set
{{R,(S . (R,h))},{R}} is set
g . [R,(S . (R,h))] is set
[(F . (o1,(E . (o1,o2)))),(g . (R,(S . (R,h))))] is Element of [:B,a:]
{(F . (o1,(E . (o1,o2)))),(g . (R,(S . (R,h))))} is set
{(F . (o1,(E . (o1,o2))))} is set
{{(F . (o1,(E . (o1,o2)))),(g . (R,(S . (R,h))))},{(F . (o1,(E . (o1,o2))))}} is set
[o1,(g . (R,(S . (R,h))))] is Element of [:B,a:]
{o1,(g . (R,(S . (R,h))))} is set
{{o1,(g . (R,(S . (R,h))))},{o1}} is set
the Element of a is Element of a
o2 is Element of B
R is Element of B
E . (o2,R) is Element of B
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
E . [o2,R] is set
F . (o2,(E . (o2,R))) is Element of B
[o2,(E . (o2,R))] is set
{o2,(E . (o2,R))} is set
{{o2,(E . (o2,R))},{o2}} is set
F . [o2,(E . (o2,R))] is set
[o2, the Element of a] is Element of [:B,a:]
{o2, the Element of a} is set
{{o2, the Element of a},{o2}} is set
[R, the Element of a] is Element of [:B,a:]
{R, the Element of a} is set
{R} is set
{{R, the Element of a},{R}} is set
(B,a,E,S) . ([o2, the Element of a],[R, the Element of a]) is Element of [:B,a:]
[[o2, the Element of a],[R, the Element of a]] is set
{[o2, the Element of a],[R, the Element of a]} is Relation-like set
{[o2, the Element of a]} is Relation-like Function-like set
{{[o2, the Element of a],[R, the Element of a]},{[o2, the Element of a]}} is set
(B,a,E,S) . [[o2, the Element of a],[R, the Element of a]] is set
(B,a,F,g) . ([o2, the Element of a],((B,a,E,S) . ([o2, the Element of a],[R, the Element of a]))) is Element of [:B,a:]
[[o2, the Element of a],((B,a,E,S) . ([o2, the Element of a],[R, the Element of a]))] is set
{[o2, the Element of a],((B,a,E,S) . ([o2, the Element of a],[R, the Element of a]))} is set
{{[o2, the Element of a],((B,a,E,S) . ([o2, the Element of a],[R, the Element of a]))},{[o2, the Element of a]}} is set
(B,a,F,g) . [[o2, the Element of a],((B,a,E,S) . ([o2, the Element of a],[R, the Element of a]))] is set
S . ( the Element of a, the Element of a) is Element of a
[ the Element of a, the Element of a] is set
{ the Element of a, the Element of a} is set
{ the Element of a} is set
{{ the Element of a, the Element of a},{ the Element of a}} is set
S . [ the Element of a, the Element of a] is set
[(E . (o2,R)),(S . ( the Element of a, the Element of a))] is Element of [:B,a:]
{(E . (o2,R)),(S . ( the Element of a, the Element of a))} is set
{(E . (o2,R))} is set
{{(E . (o2,R)),(S . ( the Element of a, the Element of a))},{(E . (o2,R))}} is set
(B,a,F,g) . ([o2, the Element of a],[(E . (o2,R)),(S . ( the Element of a, the Element of a))]) is Element of [:B,a:]
[[o2, the Element of a],[(E . (o2,R)),(S . ( the Element of a, the Element of a))]] is set
{[o2, the Element of a],[(E . (o2,R)),(S . ( the Element of a, the Element of a))]} is Relation-like set
{{[o2, the Element of a],[(E . (o2,R)),(S . ( the Element of a, the Element of a))]},{[o2, the Element of a]}} is set
(B,a,F,g) . [[o2, the Element of a],[(E . (o2,R)),(S . ( the Element of a, the Element of a))]] is set
g . ( the Element of a,(S . ( the Element of a, the Element of a))) is Element of a
[ the Element of a,(S . ( the Element of a, the Element of a))] is set
{ the Element of a,(S . ( the Element of a, the Element of a))} is set
{{ the Element of a,(S . ( the Element of a, the Element of a))},{ the Element of a}} is set
g . [ the Element of a,(S . ( the Element of a, the Element of a))] is set
[(F . (o2,(E . (o2,R)))),(g . ( the Element of a,(S . ( the Element of a, the Element of a))))] is Element of [:B,a:]
{(F . (o2,(E . (o2,R)))),(g . ( the Element of a,(S . ( the Element of a, the Element of a))))} is set
{(F . (o2,(E . (o2,R))))} is set
{{(F . (o2,(E . (o2,R)))),(g . ( the Element of a,(S . ( the Element of a, the Element of a))))},{(F . (o2,(E . (o2,R))))}} is set
the Element of B is Element of B
o2 is Element of a
R is Element of a
S . (o2,R) is Element of a
[o2,R] is set
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
S . [o2,R] is set
g . (o2,(S . (o2,R))) is Element of a
[o2,(S . (o2,R))] is set
{o2,(S . (o2,R))} is set
{{o2,(S . (o2,R))},{o2}} is set
g . [o2,(S . (o2,R))] is set
[ the Element of B,o2] is Element of [:B,a:]
{ the Element of B,o2} is set
{ the Element of B} is set
{{ the Element of B,o2},{ the Element of B}} is set
[ the Element of B,R] is Element of [:B,a:]
{ the Element of B,R} is set
{{ the Element of B,R},{ the Element of B}} is set
(B,a,E,S) . ([ the Element of B,o2],[ the Element of B,R]) is Element of [:B,a:]
[[ the Element of B,o2],[ the Element of B,R]] is set
{[ the Element of B,o2],[ the Element of B,R]} is Relation-like set
{[ the Element of B,o2]} is Relation-like Function-like set
{{[ the Element of B,o2],[ the Element of B,R]},{[ the Element of B,o2]}} is set
(B,a,E,S) . [[ the Element of B,o2],[ the Element of B,R]] is set
(B,a,F,g) . ([ the Element of B,o2],((B,a,E,S) . ([ the Element of B,o2],[ the Element of B,R]))) is Element of [:B,a:]
[[ the Element of B,o2],((B,a,E,S) . ([ the Element of B,o2],[ the Element of B,R]))] is set
{[ the Element of B,o2],((B,a,E,S) . ([ the Element of B,o2],[ the Element of B,R]))} is set
{{[ the Element of B,o2],((B,a,E,S) . ([ the Element of B,o2],[ the Element of B,R]))},{[ the Element of B,o2]}} is set
(B,a,F,g) . [[ the Element of B,o2],((B,a,E,S) . ([ the Element of B,o2],[ the Element of B,R]))] is set
E . ( the Element of B, the Element of B) is Element of B
[ the Element of B, the Element of B] is set
{ the Element of B, the Element of B} is set
{{ the Element of B, the Element of B},{ the Element of B}} is set
E . [ the Element of B, the Element of B] is set
[(E . ( the Element of B, the Element of B)),(S . (o2,R))] is Element of [:B,a:]
{(E . ( the Element of B, the Element of B)),(S . (o2,R))} is set
{(E . ( the Element of B, the Element of B))} is set
{{(E . ( the Element of B, the Element of B)),(S . (o2,R))},{(E . ( the Element of B, the Element of B))}} is set
(B,a,F,g) . ([ the Element of B,o2],[(E . ( the Element of B, the Element of B)),(S . (o2,R))]) is Element of [:B,a:]
[[ the Element of B,o2],[(E . ( the Element of B, the Element of B)),(S . (o2,R))]] is set
{[ the Element of B,o2],[(E . ( the Element of B, the Element of B)),(S . (o2,R))]} is Relation-like set
{{[ the Element of B,o2],[(E . ( the Element of B, the Element of B)),(S . (o2,R))]},{[ the Element of B,o2]}} is set
(B,a,F,g) . [[ the Element of B,o2],[(E . ( the Element of B, the Element of B)),(S . (o2,R))]] is set
F . ( the Element of B,(E . ( the Element of B, the Element of B))) is Element of B
[ the Element of B,(E . ( the Element of B, the Element of B))] is set
{ the Element of B,(E . ( the Element of B, the Element of B))} is set
{{ the Element of B,(E . ( the Element of B, the Element of B))},{ the Element of B}} is set
F . [ the Element of B,(E . ( the Element of B, the Element of B))] is set
[(F . ( the Element of B,(E . ( the Element of B, the Element of B)))),(g . (o2,(S . (o2,R))))] is Element of [:B,a:]
{(F . ( the Element of B,(E . ( the Element of B, the Element of B)))),(g . (o2,(S . (o2,R))))} is set
{(F . ( the Element of B,(E . ( the Element of B, the Element of B))))} is set
{{(F . ( the Element of B,(E . ( the Element of B, the Element of B)))),(g . (o2,(S . (o2,R))))},{(F . ( the Element of B,(E . ( the Element of B, the Element of B))))}} is set
B is non empty LattStr
the carrier of B is non empty set
a is non empty LattStr
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
B is non empty LattStr
a is non empty LattStr
(B,a) is strict LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of B : b<sub>1</sub> [= b<sub>2</sub> } is set
a is set
F is Element of the carrier of B
E is Element of the carrier of B
[F,E] is Element of [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
{F,E} is set
{F} is set
{{F,E},{F}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
(B) is Relation-like set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of B : b<sub>1</sub> [= b<sub>2</sub> } is set
a is Element of the carrier of B
F is Element of the carrier of B
[a,F] is Element of [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
{a,F} is set
{a} is set
{{a,F},{a}} is set
E is Element of the carrier of B
g is Element of the carrier of B
[E,g] is Element of [: the carrier of B, the carrier of B:]
{E,g} is set
{E} is set
{{E,g},{E}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B) is Relation-like set
the carrier of B is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of B : b<sub>1</sub> [= b<sub>2</sub> } is set
dom (B) is set
rng (B) is set
field (B) is set
a is set
F is Element of the carrier of B
[F,F] is Element of [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
{F,F} is set
{F} is set
{{F,F},{F}} is set
F is set
[a,F] is set
{a,F} is set
{a} is set
{{a,F},{a}} is set
E is Element of the carrier of B
g is Element of the carrier of B
[E,g] is Element of [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
{E,g} is set
{E} is set
{{E,g},{E}} is set
a is set
F is Element of the carrier of B
[F,F] is Element of [: the carrier of B, the carrier of B:]
{F,F} is set
{F} is set
{{F,F},{F}} is set
F is set
[F,a] is set
{F,a} is set
{F} is set
{{F,a},{F}} is set
E is Element of the carrier of B
g is Element of the carrier of B
[E,g] is Element of [: the carrier of B, the carrier of B:]
{E,g} is set
{E} is set
{{E,g},{E}} is set
the carrier of B \/ the carrier of B is set
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(F) is Relation-like set
the carrier of F is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of F : b<sub>1</sub> [= b<sub>2</sub> } is set
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(F) is Relation-like set
the carrier of F is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of F : b<sub>1</sub> [= b<sub>2</sub> } is set
E is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(E) is Relation-like set
the carrier of E is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of E : b<sub>1</sub> [= b<sub>2</sub> } is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is non empty LattStr
the carrier of F is non empty set
the L_join of F is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) Element of bool [:[: the carrier of F, the carrier of F:], the carrier of F:]
[: the carrier of F, the carrier of F:] is Relation-like non empty set
[:[: the carrier of F, the carrier of F:], the carrier of F:] is Relation-like non empty set
bool [:[: the carrier of F, the carrier of F:], the carrier of F:] is non empty set
the L_meet of F is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) Element of bool [:[: the carrier of F, the carrier of F:], the carrier of F:]
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B) is Relation-like set
the carrier of B is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of B : b<sub>1</sub> [= b<sub>2</sub> } is set
(a) is Relation-like set
the carrier of a is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of a : b<sub>1</sub> [= b<sub>2</sub> } is set
(F) is Relation-like set
the carrier of F is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of F : b<sub>1</sub> [= b<sub>2</sub> } is set
B is non empty LattStr
a is non empty LattStr
(B,a) is non empty strict LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
( the carrier of B, the carrier of a,H<sub>1</sub>(B),H<sub>1</sub>(a)) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
( the carrier of B, the carrier of a,H<sub>2</sub>(B),H<sub>2</sub>(a)) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a,H<sub>1</sub>(B),H<sub>1</sub>(a)),( the carrier of B, the carrier of a,H<sub>2</sub>(B),H<sub>2</sub>(a)) #) is non empty strict LattStr
F is non empty LattStr
the carrier of F is non empty set
the L_join of F is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) Element of bool [:[: the carrier of F, the carrier of F:], the carrier of F:]
[: the carrier of F, the carrier of F:] is Relation-like non empty set
[:[: the carrier of F, the carrier of F:], the carrier of F:] is Relation-like non empty set
bool [:[: the carrier of F, the carrier of F:], the carrier of F:] is non empty set
the L_meet of F is Relation-like [: the carrier of F, the carrier of F:] -defined the carrier of F -valued Function-like non empty total V20([: the carrier of F, the carrier of F:], the carrier of F) Element of bool [:[: the carrier of F, the carrier of F:], the carrier of F:]
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of a is non empty set
F is Element of the carrier of B
E is Element of the carrier of a
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
the carrier of (B,a) is non empty set
[F,E] is Element of [: the carrier of B, the carrier of a:]
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of a is non empty set
o1 is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of o1 is non empty set
o2 is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of o2 is non empty set
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is Element of the carrier of B
g is Element of the carrier of a
(B,a,F,g) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
{F,g} is set
{F} is set
{{F,g},{F}} is set
E is Element of the carrier of B
S is Element of the carrier of a
(B,a,E,S) is Element of the carrier of (B,a)
{E,S} is set
{E} is set
{{E,S},{E}} is set
(B,a,F,g) "\/" (B,a,E,S) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
[(B,a,F,g),(B,a,E,S)] is set
{(B,a,F,g),(B,a,E,S)} is Relation-like set
{(B,a,F,g)} is Relation-like Function-like set
{{(B,a,F,g),(B,a,E,S)},{(B,a,F,g)}} is set
the L_join of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
F "\/" E is Element of the carrier of B
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
g "\/" S is Element of the carrier of a
the L_join of a . (g,S) is Element of the carrier of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_join of a . [g,S] is set
(B,a,(F "\/" E),(g "\/" S)) is Element of the carrier of (B,a)
{(F "\/" E),(g "\/" S)} is set
{(F "\/" E)} is set
{{(F "\/" E),(g "\/" S)},{(F "\/" E)}} is set
(o1,o2) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of o1, the carrier of o2:] is Relation-like non empty set
the L_join of o1 is Relation-like [: the carrier of o1, the carrier of o1:] -defined the carrier of o1 -valued Function-like non empty total V20([: the carrier of o1, the carrier of o1:], the carrier of o1) commutative associative idempotent Element of bool [:[: the carrier of o1, the carrier of o1:], the carrier of o1:]
[: the carrier of o1, the carrier of o1:] is Relation-like non empty set
[:[: the carrier of o1, the carrier of o1:], the carrier of o1:] is Relation-like non empty set
bool [:[: the carrier of o1, the carrier of o1:], the carrier of o1:] is non empty set
the L_join of o2 is Relation-like [: the carrier of o2, the carrier of o2:] -defined the carrier of o2 -valued Function-like non empty total V20([: the carrier of o2, the carrier of o2:], the carrier of o2) commutative associative idempotent Element of bool [:[: the carrier of o2, the carrier of o2:], the carrier of o2:]
[: the carrier of o2, the carrier of o2:] is Relation-like non empty set
[:[: the carrier of o2, the carrier of o2:], the carrier of o2:] is Relation-like non empty set
bool [:[: the carrier of o2, the carrier of o2:], the carrier of o2:] is non empty set
( the carrier of o1, the carrier of o2, the L_join of o1, the L_join of o2) is Relation-like [:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:] -defined [: the carrier of o1, the carrier of o2:] -valued Function-like non empty total V20([:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:],[: the carrier of o1, the carrier of o2:]) Element of bool [:[:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:],[: the carrier of o1, the carrier of o2:]:]
[:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:] is Relation-like non empty set
[:[:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:],[: the carrier of o1, the carrier of o2:]:] is Relation-like non empty set
bool [:[:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:],[: the carrier of o1, the carrier of o2:]:] is non empty set
the L_meet of o1 is Relation-like [: the carrier of o1, the carrier of o1:] -defined the carrier of o1 -valued Function-like non empty total V20([: the carrier of o1, the carrier of o1:], the carrier of o1) commutative associative idempotent Element of bool [:[: the carrier of o1, the carrier of o1:], the carrier of o1:]
the L_meet of o2 is Relation-like [: the carrier of o2, the carrier of o2:] -defined the carrier of o2 -valued Function-like non empty total V20([: the carrier of o2, the carrier of o2:], the carrier of o2) commutative associative idempotent Element of bool [:[: the carrier of o2, the carrier of o2:], the carrier of o2:]
( the carrier of o1, the carrier of o2, the L_meet of o1, the L_meet of o2) is Relation-like [:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:] -defined [: the carrier of o1, the carrier of o2:] -valued Function-like non empty total V20([:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:],[: the carrier of o1, the carrier of o2:]) Element of bool [:[:[: the carrier of o1, the carrier of o2:],[: the carrier of o1, the carrier of o2:]:],[: the carrier of o1, the carrier of o2:]:]
LattStr(# [: the carrier of o1, the carrier of o2:],( the carrier of o1, the carrier of o2, the L_join of o1, the L_join of o2),( the carrier of o1, the carrier of o2, the L_meet of o1, the L_meet of o2) #) is non empty strict LattStr
R is Element of the carrier of o1
f is Element of the carrier of o2
(o1,o2,R,f) is Element of the carrier of (o1,o2)
the carrier of (o1,o2) is non empty set
{R,f} is set
{R} is set
{{R,f},{R}} is set
h is Element of the carrier of o1
x is Element of the carrier of o2
(o1,o2,h,x) is Element of the carrier of (o1,o2)
{h,x} is set
{h} is set
{{h,x},{h}} is set
(o1,o2,R,f) "/\" (o1,o2,h,x) is Element of the carrier of (o1,o2)
the L_meet of (o1,o2) is Relation-like [: the carrier of (o1,o2), the carrier of (o1,o2):] -defined the carrier of (o1,o2) -valued Function-like non empty total V20([: the carrier of (o1,o2), the carrier of (o1,o2):], the carrier of (o1,o2)) commutative associative idempotent Element of bool [:[: the carrier of (o1,o2), the carrier of (o1,o2):], the carrier of (o1,o2):]
[: the carrier of (o1,o2), the carrier of (o1,o2):] is Relation-like non empty set
[:[: the carrier of (o1,o2), the carrier of (o1,o2):], the carrier of (o1,o2):] is Relation-like non empty set
bool [:[: the carrier of (o1,o2), the carrier of (o1,o2):], the carrier of (o1,o2):] is non empty set
the L_meet of (o1,o2) . ((o1,o2,R,f),(o1,o2,h,x)) is Element of the carrier of (o1,o2)
[(o1,o2,R,f),(o1,o2,h,x)] is set
{(o1,o2,R,f),(o1,o2,h,x)} is Relation-like set
{(o1,o2,R,f)} is Relation-like Function-like set
{{(o1,o2,R,f),(o1,o2,h,x)},{(o1,o2,R,f)}} is set
the L_meet of (o1,o2) . [(o1,o2,R,f),(o1,o2,h,x)] is set
R "/\" h is Element of the carrier of o1
the L_meet of o1 . (R,h) is Element of the carrier of o1
[R,h] is set
{R,h} is set
{{R,h},{R}} is set
the L_meet of o1 . [R,h] is set
f "/\" x is Element of the carrier of o2
the L_meet of o2 . (f,x) is Element of the carrier of o2
[f,x] is set
{f,x} is set
{f} is set
{{f,x},{f}} is set
the L_meet of o2 . [f,x] is set
(o1,o2,(R "/\" h),(f "/\" x)) is Element of the carrier of (o1,o2)
{(R "/\" h),(f "/\" x)} is set
{(R "/\" h)} is set
{{(R "/\" h),(f "/\" x)},{(R "/\" h)}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of a is non empty set
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is Element of the carrier of B
E is Element of the carrier of B
g is Element of the carrier of a
(B,a,F,g) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
{F,g} is set
{F} is set
{{F,g},{F}} is set
S is Element of the carrier of a
(B,a,E,S) is Element of the carrier of (B,a)
{E,S} is set
{E} is set
{{E,S},{E}} is set
(B,a,F,g) "\/" (B,a,E,S) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
[(B,a,F,g),(B,a,E,S)] is set
{(B,a,F,g),(B,a,E,S)} is Relation-like set
{(B,a,F,g)} is Relation-like Function-like set
{{(B,a,F,g),(B,a,E,S)},{(B,a,F,g)}} is set
the L_join of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
F "\/" E is Element of the carrier of B
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
g "\/" S is Element of the carrier of a
the L_join of a . (g,S) is Element of the carrier of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_join of a . [g,S] is set
(B,a,(F "\/" E),(g "\/" S)) is Element of the carrier of (B,a)
{(F "\/" E),(g "\/" S)} is set
{(F "\/" E)} is set
{{(F "\/" E),(g "\/" S)},{(F "\/" E)}} is set
F "\/" E is Element of the carrier of B
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
g "\/" S is Element of the carrier of a
the L_join of a . (g,S) is Element of the carrier of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_join of a . [g,S] is set
(B,a,F,g) "\/" (B,a,E,S) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
[(B,a,F,g),(B,a,E,S)] is set
{(B,a,F,g),(B,a,E,S)} is Relation-like set
{(B,a,F,g)} is Relation-like Function-like set
{{(B,a,F,g),(B,a,E,S)},{(B,a,F,g)}} is set
the L_join of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
the carrier of (B,a) is non empty set
F is Element of the carrier of (B,a)
g is Element of the carrier of (B,a)
E is Element of the carrier of (B,a)
E "/\" g is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . (E,g) is Element of the carrier of (B,a)
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
the L_meet of (B,a) . [E,g] is set
F "\/" (E "/\" g) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
the L_join of (B,a) . (F,(E "/\" g)) is Element of the carrier of (B,a)
[F,(E "/\" g)] is set
{F,(E "/\" g)} is set
{F} is set
{{F,(E "/\" g)},{F}} is set
the L_join of (B,a) . [F,(E "/\" g)] is set
F "\/" E is Element of the carrier of (B,a)
the L_join of (B,a) . (F,E) is Element of the carrier of (B,a)
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
the L_join of (B,a) . [F,E] is set
(F "\/" E) "/\" g is Element of the carrier of (B,a)
the L_meet of (B,a) . ((F "\/" E),g) is Element of the carrier of (B,a)
[(F "\/" E),g] is set
{(F "\/" E),g} is set
{(F "\/" E)} is set
{{(F "\/" E),g},{(F "\/" E)}} is set
the L_meet of (B,a) . [(F "\/" E),g] is set
S is Element of the carrier of B
o1 is Element of the carrier of a
(B,a,S,o1) is Element of the carrier of (B,a)
{S,o1} is set
{S} is set
{{S,o1},{S}} is set
o2 is Element of the carrier of B
R is Element of the carrier of a
(B,a,o2,R) is Element of the carrier of (B,a)
{o2,R} is set
{o2} is set
{{o2,R},{o2}} is set
h is Element of the carrier of B
f is Element of the carrier of a
(B,a,h,f) is Element of the carrier of (B,a)
{h,f} is set
{h} is set
{{h,f},{h}} is set
E "/\" g is Element of the carrier of (B,a)
F "\/" (E "/\" g) is Element of the carrier of (B,a)
the L_join of (B,a) . (F,(E "/\" g)) is Element of the carrier of (B,a)
[F,(E "/\" g)] is set
{F,(E "/\" g)} is set
{{F,(E "/\" g)},{F}} is set
the L_join of (B,a) . [F,(E "/\" g)] is set
S "/\" h is Element of the carrier of B
the L_meet of B . (S,h) is Element of the carrier of B
[S,h] is set
{S,h} is set
{{S,h},{S}} is set
the L_meet of B . [S,h] is set
o1 "/\" f is Element of the carrier of a
the L_meet of a . (o1,f) is Element of the carrier of a
[o1,f] is set
{o1,f} is set
{o1} is set
{{o1,f},{o1}} is set
the L_meet of a . [o1,f] is set
(B,a,(S "/\" h),(o1 "/\" f)) is Element of the carrier of (B,a)
{(S "/\" h),(o1 "/\" f)} is set
{(S "/\" h)} is set
{{(S "/\" h),(o1 "/\" f)},{(S "/\" h)}} is set
F "\/" (B,a,(S "/\" h),(o1 "/\" f)) is Element of the carrier of (B,a)
the L_join of (B,a) . (F,(B,a,(S "/\" h),(o1 "/\" f))) is Element of the carrier of (B,a)
[F,(B,a,(S "/\" h),(o1 "/\" f))] is set
{F,(B,a,(S "/\" h),(o1 "/\" f))} is set
{{F,(B,a,(S "/\" h),(o1 "/\" f))},{F}} is set
the L_join of (B,a) . [F,(B,a,(S "/\" h),(o1 "/\" f))] is set
o2 "\/" (S "/\" h) is Element of the carrier of B
the L_join of B . (o2,(S "/\" h)) is Element of the carrier of B
[o2,(S "/\" h)] is set
{o2,(S "/\" h)} is set
{{o2,(S "/\" h)},{o2}} is set
the L_join of B . [o2,(S "/\" h)] is set
R "\/" (o1 "/\" f) is Element of the carrier of a
the L_join of a . (R,(o1 "/\" f)) is Element of the carrier of a
[R,(o1 "/\" f)] is set
{R,(o1 "/\" f)} is set
{R} is set
{{R,(o1 "/\" f)},{R}} is set
the L_join of a . [R,(o1 "/\" f)] is set
(B,a,(o2 "\/" (S "/\" h)),(R "\/" (o1 "/\" f))) is Element of the carrier of (B,a)
{(o2 "\/" (S "/\" h)),(R "\/" (o1 "/\" f))} is set
{(o2 "\/" (S "/\" h))} is set
{{(o2 "\/" (S "/\" h)),(R "\/" (o1 "/\" f))},{(o2 "\/" (S "/\" h))}} is set
o2 "\/" S is Element of the carrier of B
the L_join of B . (o2,S) is Element of the carrier of B
[o2,S] is set
{o2,S} is set
{{o2,S},{o2}} is set
the L_join of B . [o2,S] is set
(o2 "\/" S) "/\" h is Element of the carrier of B
the L_meet of B . ((o2 "\/" S),h) is Element of the carrier of B
[(o2 "\/" S),h] is set
{(o2 "\/" S),h} is set
{(o2 "\/" S)} is set
{{(o2 "\/" S),h},{(o2 "\/" S)}} is set
the L_meet of B . [(o2 "\/" S),h] is set
(B,a,((o2 "\/" S) "/\" h),(R "\/" (o1 "/\" f))) is Element of the carrier of (B,a)
{((o2 "\/" S) "/\" h),(R "\/" (o1 "/\" f))} is set
{((o2 "\/" S) "/\" h)} is set
{{((o2 "\/" S) "/\" h),(R "\/" (o1 "/\" f))},{((o2 "\/" S) "/\" h)}} is set
R "\/" o1 is Element of the carrier of a
the L_join of a . (R,o1) is Element of the carrier of a
[R,o1] is set
{R,o1} is set
{{R,o1},{R}} is set
the L_join of a . [R,o1] is set
(R "\/" o1) "/\" f is Element of the carrier of a
the L_meet of a . ((R "\/" o1),f) is Element of the carrier of a
[(R "\/" o1),f] is set
{(R "\/" o1),f} is set
{(R "\/" o1)} is set
{{(R "\/" o1),f},{(R "\/" o1)}} is set
the L_meet of a . [(R "\/" o1),f] is set
(B,a,((o2 "\/" S) "/\" h),((R "\/" o1) "/\" f)) is Element of the carrier of (B,a)
{((o2 "\/" S) "/\" h),((R "\/" o1) "/\" f)} is set
{{((o2 "\/" S) "/\" h),((R "\/" o1) "/\" f)},{((o2 "\/" S) "/\" h)}} is set
(B,a,(o2 "\/" S),(R "\/" o1)) is Element of the carrier of (B,a)
{(o2 "\/" S),(R "\/" o1)} is set
{{(o2 "\/" S),(R "\/" o1)},{(o2 "\/" S)}} is set
(B,a,(o2 "\/" S),(R "\/" o1)) "/\" g is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a,(o2 "\/" S),(R "\/" o1)),g) is Element of the carrier of (B,a)
[(B,a,(o2 "\/" S),(R "\/" o1)),g] is set
{(B,a,(o2 "\/" S),(R "\/" o1)),g} is set
{(B,a,(o2 "\/" S),(R "\/" o1))} is Relation-like Function-like set
{{(B,a,(o2 "\/" S),(R "\/" o1)),g},{(B,a,(o2 "\/" S),(R "\/" o1))}} is set
the L_meet of (B,a) . [(B,a,(o2 "\/" S),(R "\/" o1)),g] is set
F "\/" E is Element of the carrier of (B,a)
(F "\/" E) "/\" g is Element of the carrier of (B,a)
the L_meet of (B,a) . ((F "\/" E),g) is Element of the carrier of (B,a)
[(F "\/" E),g] is set
{(F "\/" E),g} is set
{(F "\/" E)} is set
{{(F "\/" E),g},{(F "\/" E)}} is set
the L_meet of (B,a) . [(F "\/" E),g] is set
the carrier of (B,a) is non empty set
the Element of the carrier of a is Element of the carrier of a
E is Element of the carrier of B
g is Element of the carrier of B
E "\/" g is Element of the carrier of B
the L_join of B . (E,g) is Element of the carrier of B
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
the L_join of B . [E,g] is set
S is Element of the carrier of B
g "/\" S is Element of the carrier of B
the L_meet of B . (g,S) is Element of the carrier of B
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_meet of B . [g,S] is set
E "\/" (g "/\" S) is Element of the carrier of B
the L_join of B . (E,(g "/\" S)) is Element of the carrier of B
[E,(g "/\" S)] is set
{E,(g "/\" S)} is set
{{E,(g "/\" S)},{E}} is set
the L_join of B . [E,(g "/\" S)] is set
(E "\/" g) "/\" S is Element of the carrier of B
the L_meet of B . ((E "\/" g),S) is Element of the carrier of B
[(E "\/" g),S] is set
{(E "\/" g),S} is set
{(E "\/" g)} is set
{{(E "\/" g),S},{(E "\/" g)}} is set
the L_meet of B . [(E "\/" g),S] is set
(B,a,E, the Element of the carrier of a) is Element of the carrier of (B,a)
{E, the Element of the carrier of a} is set
{{E, the Element of the carrier of a},{E}} is set
(B,a,S, the Element of the carrier of a) is Element of the carrier of (B,a)
{S, the Element of the carrier of a} is set
{S} is set
{{S, the Element of the carrier of a},{S}} is set
(B,a,g, the Element of the carrier of a) is Element of the carrier of (B,a)
{g, the Element of the carrier of a} is set
{{g, the Element of the carrier of a},{g}} is set
(B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a,g, the Element of the carrier of a),(B,a,S, the Element of the carrier of a)) is Element of the carrier of (B,a)
[(B,a,g, the Element of the carrier of a),(B,a,S, the Element of the carrier of a)] is set
{(B,a,g, the Element of the carrier of a),(B,a,S, the Element of the carrier of a)} is Relation-like set
{(B,a,g, the Element of the carrier of a)} is Relation-like Function-like set
{{(B,a,g, the Element of the carrier of a),(B,a,S, the Element of the carrier of a)},{(B,a,g, the Element of the carrier of a)}} is set
the L_meet of (B,a) . [(B,a,g, the Element of the carrier of a),(B,a,S, the Element of the carrier of a)] is set
(B,a,E, the Element of the carrier of a) "\/" ((B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a)) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
the L_join of (B,a) . ((B,a,E, the Element of the carrier of a),((B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a))) is Element of the carrier of (B,a)
[(B,a,E, the Element of the carrier of a),((B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a))] is set
{(B,a,E, the Element of the carrier of a),((B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a))} is set
{(B,a,E, the Element of the carrier of a)} is Relation-like Function-like set
{{(B,a,E, the Element of the carrier of a),((B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a))},{(B,a,E, the Element of the carrier of a)}} is set
the L_join of (B,a) . [(B,a,E, the Element of the carrier of a),((B,a,g, the Element of the carrier of a) "/\" (B,a,S, the Element of the carrier of a))] is set
(B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a) is Element of the carrier of (B,a)
the L_join of (B,a) . ((B,a,E, the Element of the carrier of a),(B,a,g, the Element of the carrier of a)) is Element of the carrier of (B,a)
[(B,a,E, the Element of the carrier of a),(B,a,g, the Element of the carrier of a)] is set
{(B,a,E, the Element of the carrier of a),(B,a,g, the Element of the carrier of a)} is Relation-like set
{{(B,a,E, the Element of the carrier of a),(B,a,g, the Element of the carrier of a)},{(B,a,E, the Element of the carrier of a)}} is set
the L_join of (B,a) . [(B,a,E, the Element of the carrier of a),(B,a,g, the Element of the carrier of a)] is set
((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a)) "/\" (B,a,S, the Element of the carrier of a) is Element of the carrier of (B,a)
the L_meet of (B,a) . (((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)) is Element of the carrier of (B,a)
[((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)] is set
{((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)} is set
{((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a))} is set
{{((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)},{((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a))}} is set
the L_meet of (B,a) . [((B,a,E, the Element of the carrier of a) "\/" (B,a,g, the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)] is set
E "\/" g is Element of the carrier of B
the Element of the carrier of a "\/" the Element of the carrier of a is Element of the carrier of a
the L_join of a . ( the Element of the carrier of a, the Element of the carrier of a) is Element of the carrier of a
[ the Element of the carrier of a, the Element of the carrier of a] is set
{ the Element of the carrier of a, the Element of the carrier of a} is set
{ the Element of the carrier of a} is set
{{ the Element of the carrier of a, the Element of the carrier of a},{ the Element of the carrier of a}} is set
the L_join of a . [ the Element of the carrier of a, the Element of the carrier of a] is set
(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)) is Element of the carrier of (B,a)
{(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)} is set
{(E "\/" g)} is set
{{(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)},{(E "\/" g)}} is set
(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)) "/\" (B,a,S, the Element of the carrier of a) is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)) is Element of the carrier of (B,a)
[(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)] is set
{(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)} is Relation-like set
{(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a))} is Relation-like Function-like set
{{(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)},{(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a))}} is set
the L_meet of (B,a) . [(B,a,(E "\/" g),( the Element of the carrier of a "\/" the Element of the carrier of a)),(B,a,S, the Element of the carrier of a)] is set
(E "\/" g) "/\" S is Element of the carrier of B
the L_meet of B . ((E "\/" g),S) is Element of the carrier of B
[(E "\/" g),S] is set
{(E "\/" g),S} is set
{{(E "\/" g),S},{(E "\/" g)}} is set
the L_meet of B . [(E "\/" g),S] is set
( the Element of the carrier of a "\/" the Element of the carrier of a) "/\" the Element of the carrier of a is Element of the carrier of a
the L_meet of a . (( the Element of the carrier of a "\/" the Element of the carrier of a), the Element of the carrier of a) is Element of the carrier of a
[( the Element of the carrier of a "\/" the Element of the carrier of a), the Element of the carrier of a] is set
{( the Element of the carrier of a "\/" the Element of the carrier of a), the Element of the carrier of a} is set
{( the Element of the carrier of a "\/" the Element of the carrier of a)} is set
{{( the Element of the carrier of a "\/" the Element of the carrier of a), the Element of the carrier of a},{( the Element of the carrier of a "\/" the Element of the carrier of a)}} is set
the L_meet of a . [( the Element of the carrier of a "\/" the Element of the carrier of a), the Element of the carrier of a] is set
(B,a,((E "\/" g) "/\" S),(( the Element of the carrier of a "\/" the Element of the carrier of a) "/\" the Element of the carrier of a)) is Element of the carrier of (B,a)
{((E "\/" g) "/\" S),(( the Element of the carrier of a "\/" the Element of the carrier of a) "/\" the Element of the carrier of a)} is set
{((E "\/" g) "/\" S)} is set
{{((E "\/" g) "/\" S),(( the Element of the carrier of a "\/" the Element of the carrier of a) "/\" the Element of the carrier of a)},{((E "\/" g) "/\" S)}} is set
g "/\" S is Element of the carrier of B
the Element of the carrier of a "/\" the Element of the carrier of a is Element of the carrier of a
the L_meet of a . ( the Element of the carrier of a, the Element of the carrier of a) is Element of the carrier of a
the L_meet of a . [ the Element of the carrier of a, the Element of the carrier of a] is set
(B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a)) is Element of the carrier of (B,a)
{(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a)} is set
{(g "/\" S)} is set
{{(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a)},{(g "/\" S)}} is set
(B,a,E, the Element of the carrier of a) "\/" (B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a)) is Element of the carrier of (B,a)
the L_join of (B,a) . ((B,a,E, the Element of the carrier of a),(B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a))) is Element of the carrier of (B,a)
[(B,a,E, the Element of the carrier of a),(B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a))] is set
{(B,a,E, the Element of the carrier of a),(B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a))} is Relation-like set
{{(B,a,E, the Element of the carrier of a),(B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a))},{(B,a,E, the Element of the carrier of a)}} is set
the L_join of (B,a) . [(B,a,E, the Element of the carrier of a),(B,a,(g "/\" S),( the Element of the carrier of a "/\" the Element of the carrier of a))] is set
E "\/" (g "/\" S) is Element of the carrier of B
the L_join of B . (E,(g "/\" S)) is Element of the carrier of B
[E,(g "/\" S)] is set
{E,(g "/\" S)} is set
{{E,(g "/\" S)},{E}} is set
the L_join of B . [E,(g "/\" S)] is set
the Element of the carrier of a "\/" ( the Element of the carrier of a "/\" the Element of the carrier of a) is Element of the carrier of a
the L_join of a . ( the Element of the carrier of a,( the Element of the carrier of a "/\" the Element of the carrier of a)) is Element of the carrier of a
[ the Element of the carrier of a,( the Element of the carrier of a "/\" the Element of the carrier of a)] is set
{ the Element of the carrier of a,( the Element of the carrier of a "/\" the Element of the carrier of a)} is set
{{ the Element of the carrier of a,( the Element of the carrier of a "/\" the Element of the carrier of a)},{ the Element of the carrier of a}} is set
the L_join of a . [ the Element of the carrier of a,( the Element of the carrier of a "/\" the Element of the carrier of a)] is set
(B,a,(E "\/" (g "/\" S)),( the Element of the carrier of a "\/" ( the Element of the carrier of a "/\" the Element of the carrier of a))) is Element of the carrier of (B,a)
{(E "\/" (g "/\" S)),( the Element of the carrier of a "\/" ( the Element of the carrier of a "/\" the Element of the carrier of a))} is set
{(E "\/" (g "/\" S))} is set
{{(E "\/" (g "/\" S)),( the Element of the carrier of a "\/" ( the Element of the carrier of a "/\" the Element of the carrier of a))},{(E "\/" (g "/\" S))}} is set
the Element of the carrier of B is Element of the carrier of B
E is Element of the carrier of a
g is Element of the carrier of a
E "\/" g is Element of the carrier of a
the L_join of a . (E,g) is Element of the carrier of a
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
the L_join of a . [E,g] is set
S is Element of the carrier of a
g "/\" S is Element of the carrier of a
the L_meet of a . (g,S) is Element of the carrier of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_meet of a . [g,S] is set
E "\/" (g "/\" S) is Element of the carrier of a
the L_join of a . (E,(g "/\" S)) is Element of the carrier of a
[E,(g "/\" S)] is set
{E,(g "/\" S)} is set
{{E,(g "/\" S)},{E}} is set
the L_join of a . [E,(g "/\" S)] is set
(E "\/" g) "/\" S is Element of the carrier of a
the L_meet of a . ((E "\/" g),S) is Element of the carrier of a
[(E "\/" g),S] is set
{(E "\/" g),S} is set
{(E "\/" g)} is set
{{(E "\/" g),S},{(E "\/" g)}} is set
the L_meet of a . [(E "\/" g),S] is set
(B,a, the Element of the carrier of B,E) is Element of the carrier of (B,a)
{ the Element of the carrier of B,E} is set
{ the Element of the carrier of B} is set
{{ the Element of the carrier of B,E},{ the Element of the carrier of B}} is set
(B,a, the Element of the carrier of B,S) is Element of the carrier of (B,a)
{ the Element of the carrier of B,S} is set
{{ the Element of the carrier of B,S},{ the Element of the carrier of B}} is set
(B,a, the Element of the carrier of B,g) is Element of the carrier of (B,a)
{ the Element of the carrier of B,g} is set
{{ the Element of the carrier of B,g},{ the Element of the carrier of B}} is set
(B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a, the Element of the carrier of B,g),(B,a, the Element of the carrier of B,S)) is Element of the carrier of (B,a)
[(B,a, the Element of the carrier of B,g),(B,a, the Element of the carrier of B,S)] is set
{(B,a, the Element of the carrier of B,g),(B,a, the Element of the carrier of B,S)} is Relation-like set
{(B,a, the Element of the carrier of B,g)} is Relation-like Function-like set
{{(B,a, the Element of the carrier of B,g),(B,a, the Element of the carrier of B,S)},{(B,a, the Element of the carrier of B,g)}} is set
the L_meet of (B,a) . [(B,a, the Element of the carrier of B,g),(B,a, the Element of the carrier of B,S)] is set
(B,a, the Element of the carrier of B,E) "\/" ((B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S)) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
the L_join of (B,a) . ((B,a, the Element of the carrier of B,E),((B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S))) is Element of the carrier of (B,a)
[(B,a, the Element of the carrier of B,E),((B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S))] is set
{(B,a, the Element of the carrier of B,E),((B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S))} is set
{(B,a, the Element of the carrier of B,E)} is Relation-like Function-like set
{{(B,a, the Element of the carrier of B,E),((B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S))},{(B,a, the Element of the carrier of B,E)}} is set
the L_join of (B,a) . [(B,a, the Element of the carrier of B,E),((B,a, the Element of the carrier of B,g) "/\" (B,a, the Element of the carrier of B,S))] is set
(B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g) is Element of the carrier of (B,a)
the L_join of (B,a) . ((B,a, the Element of the carrier of B,E),(B,a, the Element of the carrier of B,g)) is Element of the carrier of (B,a)
[(B,a, the Element of the carrier of B,E),(B,a, the Element of the carrier of B,g)] is set
{(B,a, the Element of the carrier of B,E),(B,a, the Element of the carrier of B,g)} is Relation-like set
{{(B,a, the Element of the carrier of B,E),(B,a, the Element of the carrier of B,g)},{(B,a, the Element of the carrier of B,E)}} is set
the L_join of (B,a) . [(B,a, the Element of the carrier of B,E),(B,a, the Element of the carrier of B,g)] is set
((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g)) "/\" (B,a, the Element of the carrier of B,S) is Element of the carrier of (B,a)
the L_meet of (B,a) . (((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g)),(B,a, the Element of the carrier of B,S)) is Element of the carrier of (B,a)
[((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g)),(B,a, the Element of the carrier of B,S)] is set
{((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g)),(B,a, the Element of the carrier of B,S)} is set
{((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g))} is set
{{((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g)),(B,a, the Element of the carrier of B,S)},{((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g))}} is set
the L_meet of (B,a) . [((B,a, the Element of the carrier of B,E) "\/" (B,a, the Element of the carrier of B,g)),(B,a, the Element of the carrier of B,S)] is set
the Element of the carrier of B "\/" the Element of the carrier of B is Element of the carrier of B
the L_join of B . ( the Element of the carrier of B, the Element of the carrier of B) is Element of the carrier of B
[ the Element of the carrier of B, the Element of the carrier of B] is set
{ the Element of the carrier of B, the Element of the carrier of B} is set
{{ the Element of the carrier of B, the Element of the carrier of B},{ the Element of the carrier of B}} is set
the L_join of B . [ the Element of the carrier of B, the Element of the carrier of B] is set
E "\/" g is Element of the carrier of a
(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)) is Element of the carrier of (B,a)
{( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)} is set
{( the Element of the carrier of B "\/" the Element of the carrier of B)} is set
{{( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)},{( the Element of the carrier of B "\/" the Element of the carrier of B)}} is set
(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)) "/\" (B,a, the Element of the carrier of B,S) is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)),(B,a, the Element of the carrier of B,S)) is Element of the carrier of (B,a)
[(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)),(B,a, the Element of the carrier of B,S)] is set
{(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)),(B,a, the Element of the carrier of B,S)} is Relation-like set
{(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g))} is Relation-like Function-like set
{{(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)),(B,a, the Element of the carrier of B,S)},{(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g))}} is set
the L_meet of (B,a) . [(B,a,( the Element of the carrier of B "\/" the Element of the carrier of B),(E "\/" g)),(B,a, the Element of the carrier of B,S)] is set
( the Element of the carrier of B "\/" the Element of the carrier of B) "/\" the Element of the carrier of B is Element of the carrier of B
the L_meet of B . (( the Element of the carrier of B "\/" the Element of the carrier of B), the Element of the carrier of B) is Element of the carrier of B
[( the Element of the carrier of B "\/" the Element of the carrier of B), the Element of the carrier of B] is set
{( the Element of the carrier of B "\/" the Element of the carrier of B), the Element of the carrier of B} is set
{{( the Element of the carrier of B "\/" the Element of the carrier of B), the Element of the carrier of B},{( the Element of the carrier of B "\/" the Element of the carrier of B)}} is set
the L_meet of B . [( the Element of the carrier of B "\/" the Element of the carrier of B), the Element of the carrier of B] is set
(E "\/" g) "/\" S is Element of the carrier of a
the L_meet of a . ((E "\/" g),S) is Element of the carrier of a
[(E "\/" g),S] is set
{(E "\/" g),S} is set
{(E "\/" g)} is set
{{(E "\/" g),S},{(E "\/" g)}} is set
the L_meet of a . [(E "\/" g),S] is set
(B,a,(( the Element of the carrier of B "\/" the Element of the carrier of B) "/\" the Element of the carrier of B),((E "\/" g) "/\" S)) is Element of the carrier of (B,a)
{(( the Element of the carrier of B "\/" the Element of the carrier of B) "/\" the Element of the carrier of B),((E "\/" g) "/\" S)} is set
{(( the Element of the carrier of B "\/" the Element of the carrier of B) "/\" the Element of the carrier of B)} is set
{{(( the Element of the carrier of B "\/" the Element of the carrier of B) "/\" the Element of the carrier of B),((E "\/" g) "/\" S)},{(( the Element of the carrier of B "\/" the Element of the carrier of B) "/\" the Element of the carrier of B)}} is set
the Element of the carrier of B "/\" the Element of the carrier of B is Element of the carrier of B
the L_meet of B . ( the Element of the carrier of B, the Element of the carrier of B) is Element of the carrier of B
the L_meet of B . [ the Element of the carrier of B, the Element of the carrier of B] is set
g "/\" S is Element of the carrier of a
(B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S)) is Element of the carrier of (B,a)
{( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S)} is set
{( the Element of the carrier of B "/\" the Element of the carrier of B)} is set
{{( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S)},{( the Element of the carrier of B "/\" the Element of the carrier of B)}} is set
(B,a, the Element of the carrier of B,E) "\/" (B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S)) is Element of the carrier of (B,a)
the L_join of (B,a) . ((B,a, the Element of the carrier of B,E),(B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S))) is Element of the carrier of (B,a)
[(B,a, the Element of the carrier of B,E),(B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S))] is set
{(B,a, the Element of the carrier of B,E),(B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S))} is Relation-like set
{{(B,a, the Element of the carrier of B,E),(B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S))},{(B,a, the Element of the carrier of B,E)}} is set
the L_join of (B,a) . [(B,a, the Element of the carrier of B,E),(B,a,( the Element of the carrier of B "/\" the Element of the carrier of B),(g "/\" S))] is set
the Element of the carrier of B "\/" ( the Element of the carrier of B "/\" the Element of the carrier of B) is Element of the carrier of B
the L_join of B . ( the Element of the carrier of B,( the Element of the carrier of B "/\" the Element of the carrier of B)) is Element of the carrier of B
[ the Element of the carrier of B,( the Element of the carrier of B "/\" the Element of the carrier of B)] is set
{ the Element of the carrier of B,( the Element of the carrier of B "/\" the Element of the carrier of B)} is set
{{ the Element of the carrier of B,( the Element of the carrier of B "/\" the Element of the carrier of B)},{ the Element of the carrier of B}} is set
the L_join of B . [ the Element of the carrier of B,( the Element of the carrier of B "/\" the Element of the carrier of B)] is set
E "\/" (g "/\" S) is Element of the carrier of a
the L_join of a . (E,(g "/\" S)) is Element of the carrier of a
[E,(g "/\" S)] is set
{E,(g "/\" S)} is set
{{E,(g "/\" S)},{E}} is set
the L_join of a . [E,(g "/\" S)] is set
(B,a,( the Element of the carrier of B "\/" ( the Element of the carrier of B "/\" the Element of the carrier of B)),(E "\/" (g "/\" S))) is Element of the carrier of (B,a)
{( the Element of the carrier of B "\/" ( the Element of the carrier of B "/\" the Element of the carrier of B)),(E "\/" (g "/\" S))} is set
{( the Element of the carrier of B "\/" ( the Element of the carrier of B "/\" the Element of the carrier of B))} is set
{{( the Element of the carrier of B "\/" ( the Element of the carrier of B "/\" the Element of the carrier of B)),(E "\/" (g "/\" S))},{( the Element of the carrier of B "\/" ( the Element of the carrier of B "/\" the Element of the carrier of B))}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
( the carrier of B, the carrier of a,H<sub>1</sub>(B),H<sub>1</sub>(a)) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
( the carrier of B, the carrier of a,H<sub>2</sub>(B),H<sub>2</sub>(a)) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
the carrier of (B,a) is non empty set
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is Element of the carrier of B
E is Element of the carrier of a
the carrier of (B,a) is non empty set
(B,a,F,E) is Element of the carrier of (B,a)
{F,E} is set
{F} is set
{{F,E},{F}} is set
g is Element of the carrier of (B,a)
S is Element of the carrier of (B,a)
g "/\" S is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . (g,S) is Element of the carrier of (B,a)
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_meet of (B,a) . [g,S] is set
S "/\" g is Element of the carrier of (B,a)
the L_meet of (B,a) . (S,g) is Element of the carrier of (B,a)
[S,g] is set
{S,g} is set
{S} is set
{{S,g},{S}} is set
the L_meet of (B,a) . [S,g] is set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
g "/\" S is Element of the carrier of (B,a)
F "/\" o1 is Element of the carrier of B
the L_meet of B . (F,o1) is Element of the carrier of B
[F,o1] is set
{F,o1} is set
{{F,o1},{F}} is set
the L_meet of B . [F,o1] is set
E "/\" o2 is Element of the carrier of a
the L_meet of a . (E,o2) is Element of the carrier of a
[E,o2] is set
{E,o2} is set
{E} is set
{{E,o2},{E}} is set
the L_meet of a . [E,o2] is set
(B,a,(F "/\" o1),(E "/\" o2)) is Element of the carrier of (B,a)
{(F "/\" o1),(E "/\" o2)} is set
{(F "/\" o1)} is set
{{(F "/\" o1),(E "/\" o2)},{(F "/\" o1)}} is set
(B,a,F,(E "/\" o2)) is Element of the carrier of (B,a)
{F,(E "/\" o2)} is set
{{F,(E "/\" o2)},{F}} is set
S "/\" g is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
F is Element of the carrier of (B,a)
E is Element of the carrier of B
g is Element of the carrier of a
(B,a,E,g) is Element of the carrier of (B,a)
{E,g} is set
{E} is set
{{E,g},{E}} is set
the Element of the carrier of a is Element of the carrier of a
o1 is Element of the carrier of B
E "/\" o1 is Element of the carrier of B
the L_meet of B . (E,o1) is Element of the carrier of B
[E,o1] is set
{E,o1} is set
{{E,o1},{E}} is set
the L_meet of B . [E,o1] is set
o1 "/\" E is Element of the carrier of B
the L_meet of B . (o1,E) is Element of the carrier of B
[o1,E] is set
{o1,E} is set
{o1} is set
{{o1,E},{o1}} is set
the L_meet of B . [o1,E] is set
(B,a,o1, the Element of the carrier of a) is Element of the carrier of (B,a)
{o1, the Element of the carrier of a} is set
{{o1, the Element of the carrier of a},{o1}} is set
F "/\" (B,a,o1, the Element of the carrier of a) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . (F,(B,a,o1, the Element of the carrier of a)) is Element of the carrier of (B,a)
[F,(B,a,o1, the Element of the carrier of a)] is set
{F,(B,a,o1, the Element of the carrier of a)} is set
{F} is set
{{F,(B,a,o1, the Element of the carrier of a)},{F}} is set
the L_meet of (B,a) . [F,(B,a,o1, the Element of the carrier of a)] is set
E "/\" o1 is Element of the carrier of B
g "/\" the Element of the carrier of a is Element of the carrier of a
the L_meet of a . (g, the Element of the carrier of a) is Element of the carrier of a
[g, the Element of the carrier of a] is set
{g, the Element of the carrier of a} is set
{g} is set
{{g, the Element of the carrier of a},{g}} is set
the L_meet of a . [g, the Element of the carrier of a] is set
(B,a,(E "/\" o1),(g "/\" the Element of the carrier of a)) is Element of the carrier of (B,a)
{(E "/\" o1),(g "/\" the Element of the carrier of a)} is set
{(E "/\" o1)} is set
{{(E "/\" o1),(g "/\" the Element of the carrier of a)},{(E "/\" o1)}} is set
the Element of the carrier of B is Element of the carrier of B
o1 is Element of the carrier of a
g "/\" o1 is Element of the carrier of a
the L_meet of a . (g,o1) is Element of the carrier of a
[g,o1] is set
{g,o1} is set
{g} is set
{{g,o1},{g}} is set
the L_meet of a . [g,o1] is set
o1 "/\" g is Element of the carrier of a
the L_meet of a . (o1,g) is Element of the carrier of a
[o1,g] is set
{o1,g} is set
{o1} is set
{{o1,g},{o1}} is set
the L_meet of a . [o1,g] is set
(B,a, the Element of the carrier of B,o1) is Element of the carrier of (B,a)
{ the Element of the carrier of B,o1} is set
{ the Element of the carrier of B} is set
{{ the Element of the carrier of B,o1},{ the Element of the carrier of B}} is set
F "/\" (B,a, the Element of the carrier of B,o1) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . (F,(B,a, the Element of the carrier of B,o1)) is Element of the carrier of (B,a)
[F,(B,a, the Element of the carrier of B,o1)] is set
{F,(B,a, the Element of the carrier of B,o1)} is set
{F} is set
{{F,(B,a, the Element of the carrier of B,o1)},{F}} is set
the L_meet of (B,a) . [F,(B,a, the Element of the carrier of B,o1)] is set
E "/\" the Element of the carrier of B is Element of the carrier of B
the L_meet of B . (E, the Element of the carrier of B) is Element of the carrier of B
[E, the Element of the carrier of B] is set
{E, the Element of the carrier of B} is set
{{E, the Element of the carrier of B},{E}} is set
the L_meet of B . [E, the Element of the carrier of B] is set
g "/\" o1 is Element of the carrier of a
(B,a,(E "/\" the Element of the carrier of B),(g "/\" o1)) is Element of the carrier of (B,a)
{(E "/\" the Element of the carrier of B),(g "/\" o1)} is set
{(E "/\" the Element of the carrier of B)} is set
{{(E "/\" the Element of the carrier of B),(g "/\" o1)},{(E "/\" the Element of the carrier of B)}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is Element of the carrier of B
E is Element of the carrier of a
the carrier of (B,a) is non empty set
(B,a,F,E) is Element of the carrier of (B,a)
{F,E} is set
{F} is set
{{F,E},{F}} is set
g is Element of the carrier of (B,a)
S is Element of the carrier of (B,a)
g "\/" S is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . (g,S) is Element of the carrier of (B,a)
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_join of (B,a) . [g,S] is set
S "\/" g is Element of the carrier of (B,a)
the L_join of (B,a) . (S,g) is Element of the carrier of (B,a)
[S,g] is set
{S,g} is set
{S} is set
{{S,g},{S}} is set
the L_join of (B,a) . [S,g] is set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
g "\/" S is Element of the carrier of (B,a)
F "\/" o1 is Element of the carrier of B
the L_join of B . (F,o1) is Element of the carrier of B
[F,o1] is set
{F,o1} is set
{{F,o1},{F}} is set
the L_join of B . [F,o1] is set
E "\/" o2 is Element of the carrier of a
the L_join of a . (E,o2) is Element of the carrier of a
[E,o2] is set
{E,o2} is set
{E} is set
{{E,o2},{E}} is set
the L_join of a . [E,o2] is set
(B,a,(F "\/" o1),(E "\/" o2)) is Element of the carrier of (B,a)
{(F "\/" o1),(E "\/" o2)} is set
{(F "\/" o1)} is set
{{(F "\/" o1),(E "\/" o2)},{(F "\/" o1)}} is set
(B,a,F,(E "\/" o2)) is Element of the carrier of (B,a)
{F,(E "\/" o2)} is set
{{F,(E "\/" o2)},{F}} is set
S "\/" g is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
F is Element of the carrier of (B,a)
E is Element of the carrier of B
g is Element of the carrier of a
(B,a,E,g) is Element of the carrier of (B,a)
{E,g} is set
{E} is set
{{E,g},{E}} is set
the Element of the carrier of a is Element of the carrier of a
o1 is Element of the carrier of B
E "\/" o1 is Element of the carrier of B
the L_join of B . (E,o1) is Element of the carrier of B
[E,o1] is set
{E,o1} is set
{{E,o1},{E}} is set
the L_join of B . [E,o1] is set
o1 "\/" E is Element of the carrier of B
the L_join of B . (o1,E) is Element of the carrier of B
[o1,E] is set
{o1,E} is set
{o1} is set
{{o1,E},{o1}} is set
the L_join of B . [o1,E] is set
(B,a,o1, the Element of the carrier of a) is Element of the carrier of (B,a)
{o1, the Element of the carrier of a} is set
{{o1, the Element of the carrier of a},{o1}} is set
F "\/" (B,a,o1, the Element of the carrier of a) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . (F,(B,a,o1, the Element of the carrier of a)) is Element of the carrier of (B,a)
[F,(B,a,o1, the Element of the carrier of a)] is set
{F,(B,a,o1, the Element of the carrier of a)} is set
{F} is set
{{F,(B,a,o1, the Element of the carrier of a)},{F}} is set
the L_join of (B,a) . [F,(B,a,o1, the Element of the carrier of a)] is set
E "\/" o1 is Element of the carrier of B
g "\/" the Element of the carrier of a is Element of the carrier of a
the L_join of a . (g, the Element of the carrier of a) is Element of the carrier of a
[g, the Element of the carrier of a] is set
{g, the Element of the carrier of a} is set
{g} is set
{{g, the Element of the carrier of a},{g}} is set
the L_join of a . [g, the Element of the carrier of a] is set
(B,a,(E "\/" o1),(g "\/" the Element of the carrier of a)) is Element of the carrier of (B,a)
{(E "\/" o1),(g "\/" the Element of the carrier of a)} is set
{(E "\/" o1)} is set
{{(E "\/" o1),(g "\/" the Element of the carrier of a)},{(E "\/" o1)}} is set
the Element of the carrier of B is Element of the carrier of B
o1 is Element of the carrier of a
g "\/" o1 is Element of the carrier of a
the L_join of a . (g,o1) is Element of the carrier of a
[g,o1] is set
{g,o1} is set
{g} is set
{{g,o1},{g}} is set
the L_join of a . [g,o1] is set
o1 "\/" g is Element of the carrier of a
the L_join of a . (o1,g) is Element of the carrier of a
[o1,g] is set
{o1,g} is set
{o1} is set
{{o1,g},{o1}} is set
the L_join of a . [o1,g] is set
(B,a, the Element of the carrier of B,o1) is Element of the carrier of (B,a)
{ the Element of the carrier of B,o1} is set
{ the Element of the carrier of B} is set
{{ the Element of the carrier of B,o1},{ the Element of the carrier of B}} is set
F "\/" (B,a, the Element of the carrier of B,o1) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . (F,(B,a, the Element of the carrier of B,o1)) is Element of the carrier of (B,a)
[F,(B,a, the Element of the carrier of B,o1)] is set
{F,(B,a, the Element of the carrier of B,o1)} is set
{F} is set
{{F,(B,a, the Element of the carrier of B,o1)},{F}} is set
the L_join of (B,a) . [F,(B,a, the Element of the carrier of B,o1)] is set
E "\/" the Element of the carrier of B is Element of the carrier of B
the L_join of B . (E, the Element of the carrier of B) is Element of the carrier of B
[E, the Element of the carrier of B] is set
{E, the Element of the carrier of B} is set
{{E, the Element of the carrier of B},{E}} is set
the L_join of B . [E, the Element of the carrier of B] is set
g "\/" o1 is Element of the carrier of a
(B,a,(E "\/" the Element of the carrier of B),(g "\/" o1)) is Element of the carrier of (B,a)
{(E "\/" the Element of the carrier of B),(g "\/" o1)} is set
{(E "\/" the Element of the carrier of B)} is set
{{(E "\/" the Element of the carrier of B),(g "\/" o1)},{(E "\/" the Element of the carrier of B)}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
Bottom B is Element of the carrier of B
the carrier of B is non empty set
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
Bottom (B,a) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
Bottom a is Element of the carrier of a
(B,a,(Bottom B),(Bottom a)) is Element of the carrier of (B,a)
{(Bottom B),(Bottom a)} is set
{(Bottom B)} is set
{{(Bottom B),(Bottom a)},{(Bottom B)}} is set
F is Element of the carrier of (B,a)
E is Element of the carrier of B
g is Element of the carrier of a
(B,a,E,g) is Element of the carrier of (B,a)
{E,g} is set
{E} is set
{{E,g},{E}} is set
(B,a,(Bottom B),(Bottom a)) "/\" F is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a,(Bottom B),(Bottom a)),F) is Element of the carrier of (B,a)
[(B,a,(Bottom B),(Bottom a)),F] is set
{(B,a,(Bottom B),(Bottom a)),F} is set
{(B,a,(Bottom B),(Bottom a))} is Relation-like Function-like set
{{(B,a,(Bottom B),(Bottom a)),F},{(B,a,(Bottom B),(Bottom a))}} is set
the L_meet of (B,a) . [(B,a,(Bottom B),(Bottom a)),F] is set
(Bottom B) "/\" E is Element of the carrier of B
the L_meet of B . ((Bottom B),E) is Element of the carrier of B
[(Bottom B),E] is set
{(Bottom B),E} is set
{{(Bottom B),E},{(Bottom B)}} is set
the L_meet of B . [(Bottom B),E] is set
(Bottom a) "/\" g is Element of the carrier of a
the L_meet of a . ((Bottom a),g) is Element of the carrier of a
[(Bottom a),g] is set
{(Bottom a),g} is set
{(Bottom a)} is set
{{(Bottom a),g},{(Bottom a)}} is set
the L_meet of a . [(Bottom a),g] is set
(B,a,((Bottom B) "/\" E),((Bottom a) "/\" g)) is Element of the carrier of (B,a)
{((Bottom B) "/\" E),((Bottom a) "/\" g)} is set
{((Bottom B) "/\" E)} is set
{{((Bottom B) "/\" E),((Bottom a) "/\" g)},{((Bottom B) "/\" E)}} is set
(B,a,(Bottom B),((Bottom a) "/\" g)) is Element of the carrier of (B,a)
{(Bottom B),((Bottom a) "/\" g)} is set
{{(Bottom B),((Bottom a) "/\" g)},{(Bottom B)}} is set
F "/\" (B,a,(Bottom B),(Bottom a)) is Element of the carrier of (B,a)
the L_meet of (B,a) . (F,(B,a,(Bottom B),(Bottom a))) is Element of the carrier of (B,a)
[F,(B,a,(Bottom B),(Bottom a))] is set
{F,(B,a,(Bottom B),(Bottom a))} is set
{F} is set
{{F,(B,a,(Bottom B),(Bottom a))},{F}} is set
the L_meet of (B,a) . [F,(B,a,(Bottom B),(Bottom a))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
Top B is Element of the carrier of B
the carrier of B is non empty set
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
Top (B,a) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
Top a is Element of the carrier of a
(B,a,(Top B),(Top a)) is Element of the carrier of (B,a)
{(Top B),(Top a)} is set
{(Top B)} is set
{{(Top B),(Top a)},{(Top B)}} is set
F is Element of the carrier of (B,a)
E is Element of the carrier of B
g is Element of the carrier of a
(B,a,E,g) is Element of the carrier of (B,a)
{E,g} is set
{E} is set
{{E,g},{E}} is set
(B,a,(Top B),(Top a)) "\/" F is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,(Top B),(Top a)),F) is Element of the carrier of (B,a)
[(B,a,(Top B),(Top a)),F] is set
{(B,a,(Top B),(Top a)),F} is set
{(B,a,(Top B),(Top a))} is Relation-like Function-like set
{{(B,a,(Top B),(Top a)),F},{(B,a,(Top B),(Top a))}} is set
the L_join of (B,a) . [(B,a,(Top B),(Top a)),F] is set
(Top B) "\/" E is Element of the carrier of B
the L_join of B . ((Top B),E) is Element of the carrier of B
[(Top B),E] is set
{(Top B),E} is set
{{(Top B),E},{(Top B)}} is set
the L_join of B . [(Top B),E] is set
(Top a) "\/" g is Element of the carrier of a
the L_join of a . ((Top a),g) is Element of the carrier of a
[(Top a),g] is set
{(Top a),g} is set
{(Top a)} is set
{{(Top a),g},{(Top a)}} is set
the L_join of a . [(Top a),g] is set
(B,a,((Top B) "\/" E),((Top a) "\/" g)) is Element of the carrier of (B,a)
{((Top B) "\/" E),((Top a) "\/" g)} is set
{((Top B) "\/" E)} is set
{{((Top B) "\/" E),((Top a) "\/" g)},{((Top B) "\/" E)}} is set
(B,a,(Top B),((Top a) "\/" g)) is Element of the carrier of (B,a)
{(Top B),((Top a) "\/" g)} is set
{{(Top B),((Top a) "\/" g)},{(Top B)}} is set
F "\/" (B,a,(Top B),(Top a)) is Element of the carrier of (B,a)
the L_join of (B,a) . (F,(B,a,(Top B),(Top a))) is Element of the carrier of (B,a)
[F,(B,a,(Top B),(Top a))] is set
{F,(B,a,(Top B),(Top a))} is set
{F} is set
{{F,(B,a,(Top B),(Top a))},{F}} is set
the L_join of (B,a) . [F,(B,a,(Top B),(Top a))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of a is non empty set
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is Element of the carrier of B
E is Element of the carrier of B
g is Element of the carrier of a
(B,a,F,g) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
{F,g} is set
{F} is set
{{F,g},{F}} is set
S is Element of the carrier of a
(B,a,E,S) is Element of the carrier of (B,a)
{E,S} is set
{E} is set
{{E,S},{E}} is set
g "\/" S is Element of the carrier of a
the L_join of a . (g,S) is Element of the carrier of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_join of a . [g,S] is set
Top a is Element of the carrier of a
F "\/" E is Element of the carrier of B
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
Top B is Element of the carrier of B
(B,a,F,g) "\/" (B,a,E,S) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
[(B,a,F,g),(B,a,E,S)] is set
{(B,a,F,g),(B,a,E,S)} is Relation-like set
{(B,a,F,g)} is Relation-like Function-like set
{{(B,a,F,g),(B,a,E,S)},{(B,a,F,g)}} is set
the L_join of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
(B,a,(Top B),(Top a)) is Element of the carrier of (B,a)
{(Top B),(Top a)} is set
{(Top B)} is set
{{(Top B),(Top a)},{(Top B)}} is set
Top (B,a) is Element of the carrier of (B,a)
(B,a,E,S) "\/" (B,a,F,g) is Element of the carrier of (B,a)
the L_join of (B,a) . ((B,a,E,S),(B,a,F,g)) is Element of the carrier of (B,a)
[(B,a,E,S),(B,a,F,g)] is set
{(B,a,E,S),(B,a,F,g)} is Relation-like set
{(B,a,E,S)} is Relation-like Function-like set
{{(B,a,E,S),(B,a,F,g)},{(B,a,E,S)}} is set
the L_join of (B,a) . [(B,a,E,S),(B,a,F,g)] is set
(B,a,F,g) "/\" (B,a,E,S) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
the L_meet of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
the L_meet of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
Bottom (B,a) is Element of the carrier of (B,a)
(B,a,E,S) "/\" (B,a,F,g) is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a,E,S),(B,a,F,g)) is Element of the carrier of (B,a)
the L_meet of (B,a) . [(B,a,E,S),(B,a,F,g)] is set
(B,a,E,S) "\/" (B,a,F,g) is Element of the carrier of (B,a)
g "/\" S is Element of the carrier of a
the L_meet of a . (g,S) is Element of the carrier of a
the L_meet of a . [g,S] is set
Bottom a is Element of the carrier of a
F "/\" E is Element of the carrier of B
the L_meet of B . (F,E) is Element of the carrier of B
the L_meet of B . [F,E] is set
Bottom B is Element of the carrier of B
(B,a,F,g) "/\" (B,a,E,S) is Element of the carrier of (B,a)
(B,a,(Bottom B),(Bottom a)) is Element of the carrier of (B,a)
{(Bottom B),(Bottom a)} is set
{(Bottom B)} is set
{{(Bottom B),(Bottom a)},{(Bottom B)}} is set
(B,a,E,S) "/\" (B,a,F,g) is Element of the carrier of (B,a)
(B,a,F,g) "/\" (B,a,E,S) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
[(B,a,F,g),(B,a,E,S)] is set
{(B,a,F,g),(B,a,E,S)} is Relation-like set
{(B,a,F,g)} is Relation-like Function-like set
{{(B,a,F,g),(B,a,E,S)},{(B,a,F,g)}} is set
the L_meet of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
Bottom (B,a) is Element of the carrier of (B,a)
Bottom B is Element of the carrier of B
Bottom a is Element of the carrier of a
(B,a,(Bottom B),(Bottom a)) is Element of the carrier of (B,a)
{(Bottom B),(Bottom a)} is set
{(Bottom B)} is set
{{(Bottom B),(Bottom a)},{(Bottom B)}} is set
F "/\" E is Element of the carrier of B
the L_meet of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{{F,E},{F}} is set
the L_meet of B . [F,E] is set
g "/\" S is Element of the carrier of a
the L_meet of a . (g,S) is Element of the carrier of a
[g,S] is set
{g,S} is set
{g} is set
{{g,S},{g}} is set
the L_meet of a . [g,S] is set
(B,a,(F "/\" E),(g "/\" S)) is Element of the carrier of (B,a)
{(F "/\" E),(g "/\" S)} is set
{(F "/\" E)} is set
{{(F "/\" E),(g "/\" S)},{(F "/\" E)}} is set
(B,a,F,g) "\/" (B,a,E,S) is Element of the carrier of (B,a)
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
the L_join of (B,a) . ((B,a,F,g),(B,a,E,S)) is Element of the carrier of (B,a)
the L_join of (B,a) . [(B,a,F,g),(B,a,E,S)] is set
Top (B,a) is Element of the carrier of (B,a)
Top B is Element of the carrier of B
Top a is Element of the carrier of a
(B,a,(Top B),(Top a)) is Element of the carrier of (B,a)
{(Top B),(Top a)} is set
{(Top B)} is set
{{(Top B),(Top a)},{(Top B)}} is set
F "\/" E is Element of the carrier of B
the L_join of B . (F,E) is Element of the carrier of B
the L_join of B . [F,E] is set
g "\/" S is Element of the carrier of a
the L_join of a . (g,S) is Element of the carrier of a
the L_join of a . [g,S] is set
(B,a,(F "\/" E),(g "\/" S)) is Element of the carrier of (B,a)
{(F "\/" E),(g "\/" S)} is set
{(F "\/" E)} is set
{{(F "\/" E),(g "\/" S)},{(F "\/" E)}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded LattStr
the carrier of F is non empty set
E is Element of the carrier of F
g is Element of the carrier of B
S is Element of the carrier of a
(B,a,g,S) is Element of the carrier of (B,a)
the carrier of (B,a) is non empty set
{g,S} is set
{g} is set
{{g,S},{g}} is set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
R is Element of the carrier of F
F is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded LattStr
E is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded LattStr
the carrier of E is non empty set
the Element of the carrier of E is Element of the carrier of E
the carrier of F is non empty set
S is Element of the carrier of F
the carrier of (B,a) is non empty set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
R is Element of the carrier of (B,a)
h is Element of the carrier of B
f is Element of the carrier of a
(B,a,h,f) is Element of the carrier of (B,a)
{h,f} is set
{h} is set
{{h,f},{h}} is set
x is Element of the carrier of F
E is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded upper-bounded bounded LattStr
the carrier of F is non empty set
the Element of the carrier of F is Element of the carrier of F
the carrier of E is non empty set
S is Element of the carrier of E
the carrier of (B,a) is non empty set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
R is Element of the carrier of (B,a)
h is Element of the carrier of B
f is Element of the carrier of a
(B,a,h,f) is Element of the carrier of (B,a)
{h,f} is set
{h} is set
{{h,f},{h}} is set
x is Element of the carrier of E
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
the carrier of (B,a) is non empty set
F is Element of the carrier of (B,a)
E is Element of the carrier of (B,a)
g is Element of the carrier of B
S is Element of the carrier of a
(B,a,g,S) is Element of the carrier of (B,a)
{g,S} is set
{g} is set
{{g,S},{g}} is set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
R is Element of the carrier of a
S "/\" R is Element of the carrier of a
the L_meet of a . (S,R) is Element of the carrier of a
[S,R] is set
{S,R} is set
{S} is set
{{S,R},{S}} is set
the L_meet of a . [S,R] is set
h is Element of the carrier of B
g "/\" h is Element of the carrier of B
the L_meet of B . (g,h) is Element of the carrier of B
[g,h] is set
{g,h} is set
{{g,h},{g}} is set
the L_meet of B . [g,h] is set
(B,a,h,R) is Element of the carrier of (B,a)
{h,R} is set
{h} is set
{{h,R},{h}} is set
F "/\" (B,a,h,R) is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . (F,(B,a,h,R)) is Element of the carrier of (B,a)
[F,(B,a,h,R)] is set
{F,(B,a,h,R)} is set
{F} is set
{{F,(B,a,h,R)},{F}} is set
the L_meet of (B,a) . [F,(B,a,h,R)] is set
F "/\" (B,a,h,R) is Element of the carrier of (B,a)
(B,a,(g "/\" h),(S "/\" R)) is Element of the carrier of (B,a)
{(g "/\" h),(S "/\" R)} is set
{(g "/\" h)} is set
{{(g "/\" h),(S "/\" R)},{(g "/\" h)}} is set
f is Element of the carrier of (B,a)
F "/\" f is Element of the carrier of (B,a)
the L_meet of (B,a) . (F,f) is Element of the carrier of (B,a)
[F,f] is set
{F,f} is set
{{F,f},{F}} is set
the L_meet of (B,a) . [F,f] is set
x is Element of the carrier of B
y is Element of the carrier of a
(B,a,x,y) is Element of the carrier of (B,a)
{x,y} is set
{x} is set
{{x,y},{x}} is set
F "/\" f is Element of the carrier of (B,a)
g "/\" x is Element of the carrier of B
the L_meet of B . (g,x) is Element of the carrier of B
[g,x] is set
{g,x} is set
{{g,x},{g}} is set
the L_meet of B . [g,x] is set
S "/\" y is Element of the carrier of a
the L_meet of a . (S,y) is Element of the carrier of a
[S,y] is set
{S,y} is set
{{S,y},{S}} is set
the L_meet of a . [S,y] is set
(B,a,(g "/\" x),(S "/\" y)) is Element of the carrier of (B,a)
{(g "/\" x),(S "/\" y)} is set
{(g "/\" x)} is set
{{(g "/\" x),(S "/\" y)},{(g "/\" x)}} is set
the carrier of (B,a) is non empty set
the Element of the carrier of a is Element of the carrier of a
E is Element of the carrier of B
g is Element of the carrier of B
(B,a,E, the Element of the carrier of a) is Element of the carrier of (B,a)
{E, the Element of the carrier of a} is set
{E} is set
{{E, the Element of the carrier of a},{E}} is set
(B,a,g, the Element of the carrier of a) is Element of the carrier of (B,a)
{g, the Element of the carrier of a} is set
{g} is set
{{g, the Element of the carrier of a},{g}} is set
S is Element of the carrier of (B,a)
(B,a,E, the Element of the carrier of a) "/\" S is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a,E, the Element of the carrier of a),S) is Element of the carrier of (B,a)
[(B,a,E, the Element of the carrier of a),S] is set
{(B,a,E, the Element of the carrier of a),S} is set
{(B,a,E, the Element of the carrier of a)} is Relation-like Function-like set
{{(B,a,E, the Element of the carrier of a),S},{(B,a,E, the Element of the carrier of a)}} is set
the L_meet of (B,a) . [(B,a,E, the Element of the carrier of a),S] is set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
E "/\" o1 is Element of the carrier of B
the L_meet of B . (E,o1) is Element of the carrier of B
[E,o1] is set
{E,o1} is set
{{E,o1},{E}} is set
the L_meet of B . [E,o1] is set
the Element of the carrier of a "/\" o2 is Element of the carrier of a
the L_meet of a . ( the Element of the carrier of a,o2) is Element of the carrier of a
[ the Element of the carrier of a,o2] is set
{ the Element of the carrier of a,o2} is set
{ the Element of the carrier of a} is set
{{ the Element of the carrier of a,o2},{ the Element of the carrier of a}} is set
the L_meet of a . [ the Element of the carrier of a,o2] is set
(B,a,(E "/\" o1),( the Element of the carrier of a "/\" o2)) is Element of the carrier of (B,a)
{(E "/\" o1),( the Element of the carrier of a "/\" o2)} is set
{(E "/\" o1)} is set
{{(E "/\" o1),( the Element of the carrier of a "/\" o2)},{(E "/\" o1)}} is set
R is Element of the carrier of B
E "/\" R is Element of the carrier of B
the L_meet of B . (E,R) is Element of the carrier of B
[E,R] is set
{E,R} is set
{{E,R},{E}} is set
the L_meet of B . [E,R] is set
(B,a,(E "/\" R),( the Element of the carrier of a "/\" o2)) is Element of the carrier of (B,a)
{(E "/\" R),( the Element of the carrier of a "/\" o2)} is set
{(E "/\" R)} is set
{{(E "/\" R),( the Element of the carrier of a "/\" o2)},{(E "/\" R)}} is set
(B,a,R,o2) is Element of the carrier of (B,a)
{R,o2} is set
{R} is set
{{R,o2},{R}} is set
(B,a,E, the Element of the carrier of a) "/\" (B,a,R,o2) is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a,E, the Element of the carrier of a),(B,a,R,o2)) is Element of the carrier of (B,a)
[(B,a,E, the Element of the carrier of a),(B,a,R,o2)] is set
{(B,a,E, the Element of the carrier of a),(B,a,R,o2)} is Relation-like set
{{(B,a,E, the Element of the carrier of a),(B,a,R,o2)},{(B,a,E, the Element of the carrier of a)}} is set
the L_meet of (B,a) . [(B,a,E, the Element of the carrier of a),(B,a,R,o2)] is set
the Element of the carrier of B is Element of the carrier of B
E is Element of the carrier of a
g is Element of the carrier of a
(B,a, the Element of the carrier of B,E) is Element of the carrier of (B,a)
{ the Element of the carrier of B,E} is set
{ the Element of the carrier of B} is set
{{ the Element of the carrier of B,E},{ the Element of the carrier of B}} is set
(B,a, the Element of the carrier of B,g) is Element of the carrier of (B,a)
{ the Element of the carrier of B,g} is set
{{ the Element of the carrier of B,g},{ the Element of the carrier of B}} is set
S is Element of the carrier of (B,a)
(B,a, the Element of the carrier of B,E) "/\" S is Element of the carrier of (B,a)
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_meet of (B,a) . ((B,a, the Element of the carrier of B,E),S) is Element of the carrier of (B,a)
[(B,a, the Element of the carrier of B,E),S] is set
{(B,a, the Element of the carrier of B,E),S} is set
{(B,a, the Element of the carrier of B,E)} is Relation-like Function-like set
{{(B,a, the Element of the carrier of B,E),S},{(B,a, the Element of the carrier of B,E)}} is set
the L_meet of (B,a) . [(B,a, the Element of the carrier of B,E),S] is set
o1 is Element of the carrier of B
o2 is Element of the carrier of a
(B,a,o1,o2) is Element of the carrier of (B,a)
{o1,o2} is set
{o1} is set
{{o1,o2},{o1}} is set
E "/\" o2 is Element of the carrier of a
the L_meet of a . (E,o2) is Element of the carrier of a
[E,o2] is set
{E,o2} is set
{E} is set
{{E,o2},{E}} is set
the L_meet of a . [E,o2] is set
the Element of the carrier of B "/\" o1 is Element of the carrier of B
the L_meet of B . ( the Element of the carrier of B,o1) is Element of the carrier of B
[ the Element of the carrier of B,o1] is set
{ the Element of the carrier of B,o1} is set
{{ the Element of the carrier of B,o1},{ the Element of the carrier of B}} is set
the L_meet of B . [ the Element of the carrier of B,o1] is set
E "/\" o2 is Element of the carrier of a
(B,a,( the Element of the carrier of B "/\" o1),(E "/\" o2)) is Element of the carrier of (B,a)
{( the Element of the carrier of B "/\" o1),(E "/\" o2)} is set
{( the Element of the carrier of B "/\" o1)} is set
{{( the Element of the carrier of B "/\" o1),(E "/\" o2)},{( the Element of the carrier of B "/\" o1)}} is set
R is Element of the carrier of a
E "/\" R is Element of the carrier of a
the L_meet of a . (E,R) is Element of the carrier of a
[E,R] is set
{E,R} is set
{{E,R},{E}} is set
the L_meet of a . [E,R] is set
E "/\" R is Element of the carrier of a
(B,a,( the Element of the carrier of B "/\" o1),(E "/\" R)) is Element of the carrier of (B,a)
{( the Element of the carrier of B "/\" o1),(E "/\" R)} is set
{{( the Element of the carrier of B "/\" o1),(E "/\" R)},{( the Element of the carrier of B "/\" o1)}} is set
(B,a,o1,R) is Element of the carrier of (B,a)
{o1,R} is set
{{o1,R},{o1}} is set
(B,a, the Element of the carrier of B,E) "/\" (B,a,o1,R) is Element of the carrier of (B,a)
the L_meet of (B,a) . ((B,a, the Element of the carrier of B,E),(B,a,o1,R)) is Element of the carrier of (B,a)
[(B,a, the Element of the carrier of B,E),(B,a,o1,R)] is set
{(B,a, the Element of the carrier of B,E),(B,a,o1,R)} is Relation-like set
{{(B,a, the Element of the carrier of B,E),(B,a,o1,R)},{(B,a, the Element of the carrier of B,E)}} is set
the L_meet of (B,a) . [(B,a, the Element of the carrier of B,E),(B,a,o1,R)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
(B,a) .: is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of (B,a) is non empty set
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
LattStr(# the carrier of (B,a), the L_meet of (B,a), the L_join of (B,a) #) is non empty strict LattStr
B .: is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
LattStr(# the carrier of B, the L_meet of B, the L_join of B #) is non empty strict LattStr
a .: is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
LattStr(# the carrier of a, the L_meet of a, the L_join of a #) is non empty strict LattStr
((B .:),(a .:)) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of (B .:) is non empty set
the carrier of (a .:) is non empty set
[: the carrier of (B .:), the carrier of (a .:):] is Relation-like non empty set
the L_join of (B .:) is Relation-like [: the carrier of (B .:), the carrier of (B .:):] -defined the carrier of (B .:) -valued Function-like non empty total V20([: the carrier of (B .:), the carrier of (B .:):], the carrier of (B .:)) commutative associative idempotent Element of bool [:[: the carrier of (B .:), the carrier of (B .:):], the carrier of (B .:):]
[: the carrier of (B .:), the carrier of (B .:):] is Relation-like non empty set
[:[: the carrier of (B .:), the carrier of (B .:):], the carrier of (B .:):] is Relation-like non empty set
bool [:[: the carrier of (B .:), the carrier of (B .:):], the carrier of (B .:):] is non empty set
the L_join of (a .:) is Relation-like [: the carrier of (a .:), the carrier of (a .:):] -defined the carrier of (a .:) -valued Function-like non empty total V20([: the carrier of (a .:), the carrier of (a .:):], the carrier of (a .:)) commutative associative idempotent Element of bool [:[: the carrier of (a .:), the carrier of (a .:):], the carrier of (a .:):]
[: the carrier of (a .:), the carrier of (a .:):] is Relation-like non empty set
[:[: the carrier of (a .:), the carrier of (a .:):], the carrier of (a .:):] is Relation-like non empty set
bool [:[: the carrier of (a .:), the carrier of (a .:):], the carrier of (a .:):] is non empty set
( the carrier of (B .:), the carrier of (a .:), the L_join of (B .:), the L_join of (a .:)) is Relation-like [:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:] -defined [: the carrier of (B .:), the carrier of (a .:):] -valued Function-like non empty total V20([:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:],[: the carrier of (B .:), the carrier of (a .:):]) Element of bool [:[:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:],[: the carrier of (B .:), the carrier of (a .:):]:]
[:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:] is Relation-like non empty set
[:[:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:],[: the carrier of (B .:), the carrier of (a .:):]:] is Relation-like non empty set
bool [:[:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:],[: the carrier of (B .:), the carrier of (a .:):]:] is non empty set
the L_meet of (B .:) is Relation-like [: the carrier of (B .:), the carrier of (B .:):] -defined the carrier of (B .:) -valued Function-like non empty total V20([: the carrier of (B .:), the carrier of (B .:):], the carrier of (B .:)) commutative associative idempotent Element of bool [:[: the carrier of (B .:), the carrier of (B .:):], the carrier of (B .:):]
the L_meet of (a .:) is Relation-like [: the carrier of (a .:), the carrier of (a .:):] -defined the carrier of (a .:) -valued Function-like non empty total V20([: the carrier of (a .:), the carrier of (a .:):], the carrier of (a .:)) commutative associative idempotent Element of bool [:[: the carrier of (a .:), the carrier of (a .:):], the carrier of (a .:):]
( the carrier of (B .:), the carrier of (a .:), the L_meet of (B .:), the L_meet of (a .:)) is Relation-like [:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:] -defined [: the carrier of (B .:), the carrier of (a .:):] -valued Function-like non empty total V20([:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:],[: the carrier of (B .:), the carrier of (a .:):]) Element of bool [:[:[: the carrier of (B .:), the carrier of (a .:):],[: the carrier of (B .:), the carrier of (a .:):]:],[: the carrier of (B .:), the carrier of (a .:):]:]
LattStr(# [: the carrier of (B .:), the carrier of (a .:):],( the carrier of (B .:), the carrier of (a .:), the L_join of (B .:), the L_join of (a .:)),( the carrier of (B .:), the carrier of (a .:), the L_meet of (B .:), the L_meet of (a .:)) #) is non empty strict LattStr
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
a is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
(B,a) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of B is non empty set
the carrier of a is non empty set
[: the carrier of B, the carrier of a:] is Relation-like non empty set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
[: the carrier of a, the carrier of a:] is Relation-like non empty set
[:[: the carrier of a, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of a, the carrier of a:], the carrier of a:] is non empty set
( the carrier of B, the carrier of a, the L_join of B, the L_join of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of a is Relation-like [: the carrier of a, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of a, the carrier of a:], the carrier of a) commutative associative idempotent Element of bool [:[: the carrier of a, the carrier of a:], the carrier of a:]
( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) is Relation-like [:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:] -defined [: the carrier of B, the carrier of a:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]) Element of bool [:[:[: the carrier of B, the carrier of a:],[: the carrier of B, the carrier of a:]:],[: the carrier of B, the carrier of a:]:]
LattStr(# [: the carrier of B, the carrier of a:],( the carrier of B, the carrier of a, the L_join of B, the L_join of a),( the carrier of B, the carrier of a, the L_meet of B, the L_meet of a) #) is non empty strict LattStr
(a,B) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of a, the carrier of B:] is Relation-like non empty set
( the carrier of a, the carrier of B, the L_join of a, the L_join of B) is Relation-like [:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:] -defined [: the carrier of a, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:],[: the carrier of a, the carrier of B:]) Element of bool [:[:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:],[: the carrier of a, the carrier of B:]:]
[:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:] is Relation-like non empty set
[:[:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:],[: the carrier of a, the carrier of B:]:] is Relation-like non empty set
bool [:[:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:],[: the carrier of a, the carrier of B:]:] is non empty set
( the carrier of a, the carrier of B, the L_meet of a, the L_meet of B) is Relation-like [:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:] -defined [: the carrier of a, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:],[: the carrier of a, the carrier of B:]) Element of bool [:[:[: the carrier of a, the carrier of B:],[: the carrier of a, the carrier of B:]:],[: the carrier of a, the carrier of B:]:]
LattStr(# [: the carrier of a, the carrier of B:],( the carrier of a, the carrier of B, the L_join of a, the L_join of B),( the carrier of a, the carrier of B, the L_meet of a, the L_meet of B) #) is non empty strict LattStr
((B,a)) is Relation-like set
the carrier of (B,a) is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of (B,a) : b<sub>1</sub> [= b<sub>2</sub> } is set
((a,B)) is Relation-like set
the carrier of (a,B) is non empty set
{ [b<sub>1</sub>,b<sub>2</sub>] where b<sub>1</sub>, b<sub>2</sub> is Element of the carrier of (a,B) : b<sub>1</sub> [= b<sub>2</sub> } is set
pr2 ( the carrier of B, the carrier of a) is Relation-like [: the carrier of B, the carrier of a:] -defined the carrier of a -valued Function-like non empty total V20([: the carrier of B, the carrier of a:], the carrier of a) Element of bool [:[: the carrier of B, the carrier of a:], the carrier of a:]
[:[: the carrier of B, the carrier of a:], the carrier of a:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of a:], the carrier of a:] is non empty set
pr1 ( the carrier of B, the carrier of a) is Relation-like [: the carrier of B, the carrier of a:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of a:], the carrier of B) Element of bool [:[: the carrier of B, the carrier of a:], the carrier of B:]
[:[: the carrier of B, the carrier of a:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of a:], the carrier of B:] is non empty set
[:[: the carrier of B, the carrier of a:],[: the carrier of a, the carrier of B:]:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of a:],[: the carrier of a, the carrier of B:]:] is non empty set
<:(pr2 ( the carrier of B, the carrier of a)),(pr1 ( the carrier of B, the carrier of a)):> is Relation-like [: the carrier of B, the carrier of a:] -defined [: the carrier of a, the carrier of B:] -valued Function-like non empty total V20([: the carrier of B, the carrier of a:],[: the carrier of a, the carrier of B:]) Element of bool [:[: the carrier of B, the carrier of a:],[: the carrier of a, the carrier of B:]:]
R is Relation-like [: the carrier of B, the carrier of a:] -defined [: the carrier of a, the carrier of B:] -valued Function-like non empty total V20([: the carrier of B, the carrier of a:],[: the carrier of a, the carrier of B:]) Element of bool [:[: the carrier of B, the carrier of a:],[: the carrier of a, the carrier of B:]:]
dom (pr2 ( the carrier of B, the carrier of a)) is Relation-like non empty set
field ((B,a)) is set
rng (pr2 ( the carrier of B, the carrier of a)) is non empty set
field ((a,B)) is set
dom (pr1 ( the carrier of B, the carrier of a)) is Relation-like non empty set
(dom (pr2 ( the carrier of B, the carrier of a))) /\ (dom (pr1 ( the carrier of B, the carrier of a))) is Relation-like set
dom R is Relation-like non empty set
rng R is Relation-like non empty set
rng (pr1 ( the carrier of B, the carrier of a)) is non empty set
h is set
f is Element of the carrier of a
x is Element of the carrier of B
(a,B,f,x) is Element of the carrier of (a,B)
{f,x} is set
{f} is set
{{f,x},{f}} is set
(pr2 ( the carrier of B, the carrier of a)) . (x,f) is Element of the carrier of a
[x,f] is set
{x,f} is set
{x} is set
{{x,f},{x}} is set
(pr2 ( the carrier of B, the carrier of a)) . [x,f] is set
(pr1 ( the carrier of B, the carrier of a)) . (x,f) is Element of the carrier of B
(pr1 ( the carrier of B, the carrier of a)) . [x,f] is set
(B,a,x,f) is Element of the carrier of (B,a)
R . (B,a,x,f) is set
h is set
R . h is set
f is set
R . f is set
(pr2 ( the carrier of B, the carrier of a)) . h is set
(pr1 ( the carrier of B, the carrier of a)) . h is set
[((pr2 ( the carrier of B, the carrier of a)) . h),((pr1 ( the carrier of B, the carrier of a)) . h)] is set
{((pr2 ( the carrier of B, the carrier of a)) . h),((pr1 ( the carrier of B, the carrier of a)) . h)} is set
{((pr2 ( the carrier of B, the carrier of a)) . h)} is set
{{((pr2 ( the carrier of B, the carrier of a)) . h),((pr1 ( the carrier of B, the carrier of a)) . h)},{((pr2 ( the carrier of B, the carrier of a)) . h)}} is set
x is Element of the carrier of B
y is Element of the carrier of a
(B,a,x,y) is Element of the carrier of (B,a)
{x,y} is set
{x} is set
{{x,y},{x}} is set
(pr2 ( the carrier of B, the carrier of a)) . (x,y) is Element of the carrier of a
[x,y] is set
(pr2 ( the carrier of B, the carrier of a)) . [x,y] is set
(pr1 ( the carrier of B, the carrier of a)) . (x,y) is Element of the carrier of B
(pr1 ( the carrier of B, the carrier of a)) . [x,y] is set
(pr2 ( the carrier of B, the carrier of a)) . f is set
(pr1 ( the carrier of B, the carrier of a)) . f is set
[((pr2 ( the carrier of B, the carrier of a)) . f),((pr1 ( the carrier of B, the carrier of a)) . f)] is set
{((pr2 ( the carrier of B, the carrier of a)) . f),((pr1 ( the carrier of B, the carrier of a)) . f)} is set
{((pr2 ( the carrier of B, the carrier of a)) . f)} is set
{{((pr2 ( the carrier of B, the carrier of a)) . f),((pr1 ( the carrier of B, the carrier of a)) . f)},{((pr2 ( the carrier of B, the carrier of a)) . f)}} is set
x9 is Element of the carrier of B
y9 is Element of the carrier of a
(B,a,x9,y9) is Element of the carrier of (B,a)
{x9,y9} is set
{x9} is set
{{x9,y9},{x9}} is set
(pr2 ( the carrier of B, the carrier of a)) . (x9,y9) is Element of the carrier of a
[x9,y9] is set
(pr2 ( the carrier of B, the carrier of a)) . [x9,y9] is set
(pr1 ( the carrier of B, the carrier of a)) . (x9,y9) is Element of the carrier of B
(pr1 ( the carrier of B, the carrier of a)) . [x9,y9] is set
h is set
R . h is set
f is set
[h,f] is set
{h,f} is set
{h} is set
{{h,f},{h}} is set
R . f is set
[(R . h),(R . f)] is set
{(R . h),(R . f)} is set
{(R . h)} is set
{{(R . h),(R . f)},{(R . h)}} is set
x is Element of the carrier of (B,a)
y is Element of the carrier of (B,a)
((B,a),(B,a),x,y) is Element of the carrier of ((B,a),(B,a))
((B,a),(B,a)) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
[: the carrier of (B,a), the carrier of (B,a):] is Relation-like non empty set
the L_join of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
[:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is Relation-like non empty set
bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):] is non empty set
( the carrier of (B,a), the carrier of (B,a), the L_join of (B,a), the L_join of (B,a)) is Relation-like [:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:] -defined [: the carrier of (B,a), the carrier of (B,a):] -valued Function-like non empty total V20([:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:],[: the carrier of (B,a), the carrier of (B,a):]) Element of bool [:[:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:],[: the carrier of (B,a), the carrier of (B,a):]:]
[:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:] is Relation-like non empty set
[:[:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:],[: the carrier of (B,a), the carrier of (B,a):]:] is Relation-like non empty set
bool [:[:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:],[: the carrier of (B,a), the carrier of (B,a):]:] is non empty set
the L_meet of (B,a) is Relation-like [: the carrier of (B,a), the carrier of (B,a):] -defined the carrier of (B,a) -valued Function-like non empty total V20([: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a)) commutative associative idempotent Element of bool [:[: the carrier of (B,a), the carrier of (B,a):], the carrier of (B,a):]
( the carrier of (B,a), the carrier of (B,a), the L_meet of (B,a), the L_meet of (B,a)) is Relation-like [:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:] -defined [: the carrier of (B,a), the carrier of (B,a):] -valued Function-like non empty total V20([:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:],[: the carrier of (B,a), the carrier of (B,a):]) Element of bool [:[:[: the carrier of (B,a), the carrier of (B,a):],[: the carrier of (B,a), the carrier of (B,a):]:],[: the carrier of (B,a), the carrier of (B,a):]:]
LattStr(# [: the carrier of (B,a), the carrier of (B,a):],( the carrier of (B,a), the carrier of (B,a), the L_join of (B,a), the L_join of (B,a)),( the carrier of (B,a), the carrier of (B,a), the L_meet of (B,a), the L_meet of (B,a)) #) is non empty strict LattStr
the carrier of ((B,a),(B,a)) is non empty set
{x,y} is set
{x} is set
{{x,y},{x}} is set
x9 is Element of the carrier of B
y9 is Element of the carrier of a
(B,a,x9,y9) is Element of the carrier of (B,a)
{x9,y9} is set
{x9} is set
{{x9,y9},{x9}} is set
R . (x9,y9) is Element of [: the carrier of a, the carrier of B:]
[x9,y9] is set
R . [x9,y9] is set
(pr2 ( the carrier of B, the carrier of a)) . (x9,y9) is Element of the carrier of a
(pr2 ( the carrier of B, the carrier of a)) . [x9,y9] is set
(pr1 ( the carrier of B, the carrier of a)) . (x9,y9) is Element of the carrier of B
(pr1 ( the carrier of B, the carrier of a)) . [x9,y9] is set
(a,B,((pr2 ( the carrier of B, the carrier of a)) . (x9,y9)),((pr1 ( the carrier of B, the carrier of a)) . (x9,y9))) is Element of the carrier of (a,B)
{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9)),((pr1 ( the carrier of B, the carrier of a)) . (x9,y9))} is set
{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9))} is set
{{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9)),((pr1 ( the carrier of B, the carrier of a)) . (x9,y9))},{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9))}} is set
hx is Element of the carrier of B
hy is Element of the carrier of a
(B,a,hx,hy) is Element of the carrier of (B,a)
{hx,hy} is set
{hx} is set
{{hx,hy},{hx}} is set
(a,B,hy,hx) is Element of the carrier of (a,B)
{hy,hx} is set
{hy} is set
{{hy,hx},{hy}} is set
(a,B,y9,x9) is Element of the carrier of (a,B)
{y9,x9} is set
{y9} is set
{{y9,x9},{y9}} is set
(pr1 ( the carrier of B, the carrier of a)) . (hx,hy) is Element of the carrier of B
[hx,hy] is set
(pr1 ( the carrier of B, the carrier of a)) . [hx,hy] is set
(pr2 ( the carrier of B, the carrier of a)) . (hx,hy) is Element of the carrier of a
(pr2 ( the carrier of B, the carrier of a)) . [hx,hy] is set
R . (hx,hy) is Element of [: the carrier of a, the carrier of B:]
R . [hx,hy] is set
(a,B,((pr2 ( the carrier of B, the carrier of a)) . (hx,hy)),((pr1 ( the carrier of B, the carrier of a)) . (hx,hy))) is Element of the carrier of (a,B)
{((pr2 ( the carrier of B, the carrier of a)) . (hx,hy)),((pr1 ( the carrier of B, the carrier of a)) . (hx,hy))} is set
{((pr2 ( the carrier of B, the carrier of a)) . (hx,hy))} is set
{{((pr2 ( the carrier of B, the carrier of a)) . (hx,hy)),((pr1 ( the carrier of B, the carrier of a)) . (hx,hy))},{((pr2 ( the carrier of B, the carrier of a)) . (hx,hy))}} is set
x is Element of the carrier of B
y is Element of the carrier of a
(B,a,x,y) is Element of the carrier of (B,a)
{x,y} is set
{x} is set
{{x,y},{x}} is set
R . (x,y) is Element of [: the carrier of a, the carrier of B:]
[x,y] is set
R . [x,y] is set
(pr2 ( the carrier of B, the carrier of a)) . (x,y) is Element of the carrier of a
(pr2 ( the carrier of B, the carrier of a)) . [x,y] is set
(pr1 ( the carrier of B, the carrier of a)) . (x,y) is Element of the carrier of B
(pr1 ( the carrier of B, the carrier of a)) . [x,y] is set
(a,B,((pr2 ( the carrier of B, the carrier of a)) . (x,y)),((pr1 ( the carrier of B, the carrier of a)) . (x,y))) is Element of the carrier of (a,B)
{((pr2 ( the carrier of B, the carrier of a)) . (x,y)),((pr1 ( the carrier of B, the carrier of a)) . (x,y))} is set
{((pr2 ( the carrier of B, the carrier of a)) . (x,y))} is set
{{((pr2 ( the carrier of B, the carrier of a)) . (x,y)),((pr1 ( the carrier of B, the carrier of a)) . (x,y))},{((pr2 ( the carrier of B, the carrier of a)) . (x,y))}} is set
x9 is Element of the carrier of B
y9 is Element of the carrier of a
(B,a,x9,y9) is Element of the carrier of (B,a)
{x9,y9} is set
{x9} is set
{{x9,y9},{x9}} is set
(pr2 ( the carrier of B, the carrier of a)) . (x9,y9) is Element of the carrier of a
[x9,y9] is set
(pr2 ( the carrier of B, the carrier of a)) . [x9,y9] is set
(pr1 ( the carrier of B, the carrier of a)) . (x9,y9) is Element of the carrier of B
(pr1 ( the carrier of B, the carrier of a)) . [x9,y9] is set
R . (x9,y9) is Element of [: the carrier of a, the carrier of B:]
R . [x9,y9] is set
(a,B,((pr2 ( the carrier of B, the carrier of a)) . (x9,y9)),((pr1 ( the carrier of B, the carrier of a)) . (x9,y9))) is Element of the carrier of (a,B)
{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9)),((pr1 ( the carrier of B, the carrier of a)) . (x9,y9))} is set
{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9))} is set
{{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9)),((pr1 ( the carrier of B, the carrier of a)) . (x9,y9))},{((pr2 ( the carrier of B, the carrier of a)) . (x9,y9))}} is set
(a,B,y9,x9) is Element of the carrier of (a,B)
{y9,x9} is set
{y9} is set
{{y9,x9},{y9}} is set
(a,B,y,x) is Element of the carrier of (a,B)
{y,x} is set
{y} is set
{{y,x},{y}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
a is Element of the carrier of B
a ` is Element of the carrier of B
F is Element of the carrier of B
a <=> F is Element of the carrier of B
a => F is Element of the carrier of B
F => a is Element of the carrier of B
(a => F) "/\" (F => a) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((a => F),(F => a)) is Element of the carrier of B
[(a => F),(F => a)] is set
{(a => F),(F => a)} is set
{(a => F)} is set
{{(a => F),(F => a)},{(a => F)}} is set
the L_meet of B . [(a => F),(F => a)] is set
a "/\" F is Element of the carrier of B
the L_meet of B . (a,F) is Element of the carrier of B
[a,F] is set
{a,F} is set
{a} is set
{{a,F},{a}} is set
the L_meet of B . [a,F] is set
F ` is Element of the carrier of B
(a `) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((a `),(F `)) is Element of the carrier of B
[(a `),(F `)] is set
{(a `),(F `)} is set
{(a `)} is set
{{(a `),(F `)},{(a `)}} is set
the L_meet of B . [(a `),(F `)] is set
(a "/\" F) "\/" ((a `) "/\" (F `)) is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . ((a "/\" F),((a `) "/\" (F `))) is Element of the carrier of B
[(a "/\" F),((a `) "/\" (F `))] is set
{(a "/\" F),((a `) "/\" (F `))} is set
{(a "/\" F)} is set
{{(a "/\" F),((a `) "/\" (F `))},{(a "/\" F)}} is set
the L_join of B . [(a "/\" F),((a `) "/\" (F `))] is set
(a `) "\/" F is Element of the carrier of B
the L_join of B . ((a `),F) is Element of the carrier of B
[(a `),F] is set
{(a `),F} is set
{{(a `),F},{(a `)}} is set
the L_join of B . [(a `),F] is set
((a `) "\/" F) "/\" (F => a) is Element of the carrier of B
the L_meet of B . (((a `) "\/" F),(F => a)) is Element of the carrier of B
[((a `) "\/" F),(F => a)] is set
{((a `) "\/" F),(F => a)} is set
{((a `) "\/" F)} is set
{{((a `) "\/" F),(F => a)},{((a `) "\/" F)}} is set
the L_meet of B . [((a `) "\/" F),(F => a)] is set
(F `) "\/" a is Element of the carrier of B
the L_join of B . ((F `),a) is Element of the carrier of B
[(F `),a] is set
{(F `),a} is set
{(F `)} is set
{{(F `),a},{(F `)}} is set
the L_join of B . [(F `),a] is set
((a `) "\/" F) "/\" ((F `) "\/" a) is Element of the carrier of B
the L_meet of B . (((a `) "\/" F),((F `) "\/" a)) is Element of the carrier of B
[((a `) "\/" F),((F `) "\/" a)] is set
{((a `) "\/" F),((F `) "\/" a)} is set
{{((a `) "\/" F),((F `) "\/" a)},{((a `) "\/" F)}} is set
the L_meet of B . [((a `) "\/" F),((F `) "\/" a)] is set
(a `) "/\" ((F `) "\/" a) is Element of the carrier of B
the L_meet of B . ((a `),((F `) "\/" a)) is Element of the carrier of B
[(a `),((F `) "\/" a)] is set
{(a `),((F `) "\/" a)} is set
{{(a `),((F `) "\/" a)},{(a `)}} is set
the L_meet of B . [(a `),((F `) "\/" a)] is set
F "/\" ((F `) "\/" a) is Element of the carrier of B
the L_meet of B . (F,((F `) "\/" a)) is Element of the carrier of B
[F,((F `) "\/" a)] is set
{F,((F `) "\/" a)} is set
{F} is set
{{F,((F `) "\/" a)},{F}} is set
the L_meet of B . [F,((F `) "\/" a)] is set
((a `) "/\" ((F `) "\/" a)) "\/" (F "/\" ((F `) "\/" a)) is Element of the carrier of B
the L_join of B . (((a `) "/\" ((F `) "\/" a)),(F "/\" ((F `) "\/" a))) is Element of the carrier of B
[((a `) "/\" ((F `) "\/" a)),(F "/\" ((F `) "\/" a))] is set
{((a `) "/\" ((F `) "\/" a)),(F "/\" ((F `) "\/" a))} is set
{((a `) "/\" ((F `) "\/" a))} is set
{{((a `) "/\" ((F `) "\/" a)),(F "/\" ((F `) "\/" a))},{((a `) "/\" ((F `) "\/" a))}} is set
the L_join of B . [((a `) "/\" ((F `) "\/" a)),(F "/\" ((F `) "\/" a))] is set
(a `) "/\" a is Element of the carrier of B
the L_meet of B . ((a `),a) is Element of the carrier of B
[(a `),a] is set
{(a `),a} is set
{{(a `),a},{(a `)}} is set
the L_meet of B . [(a `),a] is set
((a `) "/\" (F `)) "\/" ((a `) "/\" a) is Element of the carrier of B
the L_join of B . (((a `) "/\" (F `)),((a `) "/\" a)) is Element of the carrier of B
[((a `) "/\" (F `)),((a `) "/\" a)] is set
{((a `) "/\" (F `)),((a `) "/\" a)} is set
{((a `) "/\" (F `))} is set
{{((a `) "/\" (F `)),((a `) "/\" a)},{((a `) "/\" (F `))}} is set
the L_join of B . [((a `) "/\" (F `)),((a `) "/\" a)] is set
(((a `) "/\" (F `)) "\/" ((a `) "/\" a)) "\/" (F "/\" ((F `) "\/" a)) is Element of the carrier of B
the L_join of B . ((((a `) "/\" (F `)) "\/" ((a `) "/\" a)),(F "/\" ((F `) "\/" a))) is Element of the carrier of B
[(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),(F "/\" ((F `) "\/" a))] is set
{(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),(F "/\" ((F `) "\/" a))} is set
{(((a `) "/\" (F `)) "\/" ((a `) "/\" a))} is set
{{(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),(F "/\" ((F `) "\/" a))},{(((a `) "/\" (F `)) "\/" ((a `) "/\" a))}} is set
the L_join of B . [(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),(F "/\" ((F `) "\/" a))] is set
F "/\" (F `) is Element of the carrier of B
the L_meet of B . (F,(F `)) is Element of the carrier of B
[F,(F `)] is set
{F,(F `)} is set
{{F,(F `)},{F}} is set
the L_meet of B . [F,(F `)] is set
F "/\" a is Element of the carrier of B
the L_meet of B . (F,a) is Element of the carrier of B
[F,a] is set
{F,a} is set
{{F,a},{F}} is set
the L_meet of B . [F,a] is set
(F "/\" (F `)) "\/" (F "/\" a) is Element of the carrier of B
the L_join of B . ((F "/\" (F `)),(F "/\" a)) is Element of the carrier of B
[(F "/\" (F `)),(F "/\" a)] is set
{(F "/\" (F `)),(F "/\" a)} is set
{(F "/\" (F `))} is set
{{(F "/\" (F `)),(F "/\" a)},{(F "/\" (F `))}} is set
the L_join of B . [(F "/\" (F `)),(F "/\" a)] is set
(((a `) "/\" (F `)) "\/" ((a `) "/\" a)) "\/" ((F "/\" (F `)) "\/" (F "/\" a)) is Element of the carrier of B
the L_join of B . ((((a `) "/\" (F `)) "\/" ((a `) "/\" a)),((F "/\" (F `)) "\/" (F "/\" a))) is Element of the carrier of B
[(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),((F "/\" (F `)) "\/" (F "/\" a))] is set
{(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),((F "/\" (F `)) "\/" (F "/\" a))} is set
{{(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),((F "/\" (F `)) "\/" (F "/\" a))},{(((a `) "/\" (F `)) "\/" ((a `) "/\" a))}} is set
the L_join of B . [(((a `) "/\" (F `)) "\/" ((a `) "/\" a)),((F "/\" (F `)) "\/" (F "/\" a))] is set
Bottom B is Element of the carrier of B
((a `) "/\" (F `)) "\/" (Bottom B) is Element of the carrier of B
the L_join of B . (((a `) "/\" (F `)),(Bottom B)) is Element of the carrier of B
[((a `) "/\" (F `)),(Bottom B)] is set
{((a `) "/\" (F `)),(Bottom B)} is set
{{((a `) "/\" (F `)),(Bottom B)},{((a `) "/\" (F `))}} is set
the L_join of B . [((a `) "/\" (F `)),(Bottom B)] is set
(((a `) "/\" (F `)) "\/" (Bottom B)) "\/" ((F "/\" (F `)) "\/" (F "/\" a)) is Element of the carrier of B
the L_join of B . ((((a `) "/\" (F `)) "\/" (Bottom B)),((F "/\" (F `)) "\/" (F "/\" a))) is Element of the carrier of B
[(((a `) "/\" (F `)) "\/" (Bottom B)),((F "/\" (F `)) "\/" (F "/\" a))] is set
{(((a `) "/\" (F `)) "\/" (Bottom B)),((F "/\" (F `)) "\/" (F "/\" a))} is set
{(((a `) "/\" (F `)) "\/" (Bottom B))} is set
{{(((a `) "/\" (F `)) "\/" (Bottom B)),((F "/\" (F `)) "\/" (F "/\" a))},{(((a `) "/\" (F `)) "\/" (Bottom B))}} is set
the L_join of B . [(((a `) "/\" (F `)) "\/" (Bottom B)),((F "/\" (F `)) "\/" (F "/\" a))] is set
(Bottom B) "\/" (F "/\" a) is Element of the carrier of B
the L_join of B . ((Bottom B),(F "/\" a)) is Element of the carrier of B
[(Bottom B),(F "/\" a)] is set
{(Bottom B),(F "/\" a)} is set
{(Bottom B)} is set
{{(Bottom B),(F "/\" a)},{(Bottom B)}} is set
the L_join of B . [(Bottom B),(F "/\" a)] is set
(((a `) "/\" (F `)) "\/" (Bottom B)) "\/" ((Bottom B) "\/" (F "/\" a)) is Element of the carrier of B
the L_join of B . ((((a `) "/\" (F `)) "\/" (Bottom B)),((Bottom B) "\/" (F "/\" a))) is Element of the carrier of B
[(((a `) "/\" (F `)) "\/" (Bottom B)),((Bottom B) "\/" (F "/\" a))] is set
{(((a `) "/\" (F `)) "\/" (Bottom B)),((Bottom B) "\/" (F "/\" a))} is set
{{(((a `) "/\" (F `)) "\/" (Bottom B)),((Bottom B) "\/" (F "/\" a))},{(((a `) "/\" (F `)) "\/" (Bottom B))}} is set
the L_join of B . [(((a `) "/\" (F `)) "\/" (Bottom B)),((Bottom B) "\/" (F "/\" a))] is set
((a `) "/\" (F `)) "\/" ((Bottom B) "\/" (F "/\" a)) is Element of the carrier of B
the L_join of B . (((a `) "/\" (F `)),((Bottom B) "\/" (F "/\" a))) is Element of the carrier of B
[((a `) "/\" (F `)),((Bottom B) "\/" (F "/\" a))] is set
{((a `) "/\" (F `)),((Bottom B) "\/" (F "/\" a))} is set
{{((a `) "/\" (F `)),((Bottom B) "\/" (F "/\" a))},{((a `) "/\" (F `))}} is set
the L_join of B . [((a `) "/\" (F `)),((Bottom B) "\/" (F "/\" a))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
a is Element of the carrier of B
a ` is Element of the carrier of B
F is Element of the carrier of B
a => F is Element of the carrier of B
(a => F) ` is Element of the carrier of B
F ` is Element of the carrier of B
a "/\" (F `) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . (a,(F `)) is Element of the carrier of B
[a,(F `)] is set
{a,(F `)} is set
{a} is set
{{a,(F `)},{a}} is set
the L_meet of B . [a,(F `)] is set
a <=> F is Element of the carrier of B
F => a is Element of the carrier of B
(a => F) "/\" (F => a) is Element of the carrier of B
the L_meet of B . ((a => F),(F => a)) is Element of the carrier of B
[(a => F),(F => a)] is set
{(a => F),(F => a)} is set
{(a => F)} is set
{{(a => F),(F => a)},{(a => F)}} is set
the L_meet of B . [(a => F),(F => a)] is set
(a <=> F) ` is Element of the carrier of B
(a `) "/\" F is Element of the carrier of B
the L_meet of B . ((a `),F) is Element of the carrier of B
[(a `),F] is set
{(a `),F} is set
{(a `)} is set
{{(a `),F},{(a `)}} is set
the L_meet of B . [(a `),F] is set
(a "/\" (F `)) "\/" ((a `) "/\" F) is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . ((a "/\" (F `)),((a `) "/\" F)) is Element of the carrier of B
[(a "/\" (F `)),((a `) "/\" F)] is set
{(a "/\" (F `)),((a `) "/\" F)} is set
{(a "/\" (F `))} is set
{{(a "/\" (F `)),((a `) "/\" F)},{(a "/\" (F `))}} is set
the L_join of B . [(a "/\" (F `)),((a `) "/\" F)] is set
a <=> (F `) is Element of the carrier of B
a => (F `) is Element of the carrier of B
(F `) => a is Element of the carrier of B
(a => (F `)) "/\" ((F `) => a) is Element of the carrier of B
the L_meet of B . ((a => (F `)),((F `) => a)) is Element of the carrier of B
[(a => (F `)),((F `) => a)] is set
{(a => (F `)),((F `) => a)} is set
{(a => (F `))} is set
{{(a => (F `)),((F `) => a)},{(a => (F `))}} is set
the L_meet of B . [(a => (F `)),((F `) => a)] is set
(a `) <=> F is Element of the carrier of B
(a `) => F is Element of the carrier of B
F => (a `) is Element of the carrier of B
((a `) => F) "/\" (F => (a `)) is Element of the carrier of B
the L_meet of B . (((a `) => F),(F => (a `))) is Element of the carrier of B
[((a `) => F),(F => (a `))] is set
{((a `) => F),(F => (a `))} is set
{((a `) => F)} is set
{{((a `) => F),(F => (a `))},{((a `) => F)}} is set
the L_meet of B . [((a `) => F),(F => (a `))] is set
E is Element of the carrier of B
g is Element of the carrier of B
E => g is Element of the carrier of B
(E => g) ` is Element of the carrier of B
E ` is Element of the carrier of B
(E `) "\/" g is Element of the carrier of B
the L_join of B . ((E `),g) is Element of the carrier of B
[(E `),g] is set
{(E `),g} is set
{(E `)} is set
{{(E `),g},{(E `)}} is set
the L_join of B . [(E `),g] is set
((E `) "\/" g) ` is Element of the carrier of B
(E `) ` is Element of the carrier of B
g ` is Element of the carrier of B
((E `) `) "/\" (g `) is Element of the carrier of B
the L_meet of B . (((E `) `),(g `)) is Element of the carrier of B
[((E `) `),(g `)] is set
{((E `) `),(g `)} is set
{((E `) `)} is set
{{((E `) `),(g `)},{((E `) `)}} is set
the L_meet of B . [((E `) `),(g `)] is set
E "/\" (g `) is Element of the carrier of B
the L_meet of B . (E,(g `)) is Element of the carrier of B
[E,(g `)] is set
{E,(g `)} is set
{E} is set
{{E,(g `)},{E}} is set
the L_meet of B . [E,(g `)] is set
(F => a) ` is Element of the carrier of B
((a => F) `) "\/" ((F => a) `) is Element of the carrier of B
the L_join of B . (((a => F) `),((F => a) `)) is Element of the carrier of B
[((a => F) `),((F => a) `)] is set
{((a => F) `),((F => a) `)} is set
{((a => F) `)} is set
{{((a => F) `),((F => a) `)},{((a => F) `)}} is set
the L_join of B . [((a => F) `),((F => a) `)] is set
(a "/\" (F `)) "\/" ((F => a) `) is Element of the carrier of B
the L_join of B . ((a "/\" (F `)),((F => a) `)) is Element of the carrier of B
[(a "/\" (F `)),((F => a) `)] is set
{(a "/\" (F `)),((F => a) `)} is set
{{(a "/\" (F `)),((F => a) `)},{(a "/\" (F `))}} is set
the L_join of B . [(a "/\" (F `)),((F => a) `)] is set
(F `) ` is Element of the carrier of B
(a `) "/\" ((F `) `) is Element of the carrier of B
the L_meet of B . ((a `),((F `) `)) is Element of the carrier of B
[(a `),((F `) `)] is set
{(a `),((F `) `)} is set
{{(a `),((F `) `)},{(a `)}} is set
the L_meet of B . [(a `),((F `) `)] is set
(a "/\" (F `)) "\/" ((a `) "/\" ((F `) `)) is Element of the carrier of B
the L_join of B . ((a "/\" (F `)),((a `) "/\" ((F `) `))) is Element of the carrier of B
[(a "/\" (F `)),((a `) "/\" ((F `) `))] is set
{(a "/\" (F `)),((a `) "/\" ((F `) `))} is set
{{(a "/\" (F `)),((a `) "/\" ((F `) `))},{(a "/\" (F `))}} is set
the L_join of B . [(a "/\" (F `)),((a `) "/\" ((F `) `))] is set
(a `) ` is Element of the carrier of B
((a `) `) "/\" (F `) is Element of the carrier of B
the L_meet of B . (((a `) `),(F `)) is Element of the carrier of B
[((a `) `),(F `)] is set
{((a `) `),(F `)} is set
{((a `) `)} is set
{{((a `) `),(F `)},{((a `) `)}} is set
the L_meet of B . [((a `) `),(F `)] is set
(((a `) `) "/\" (F `)) "\/" ((a `) "/\" ((F `) `)) is Element of the carrier of B
the L_join of B . ((((a `) `) "/\" (F `)),((a `) "/\" ((F `) `))) is Element of the carrier of B
[(((a `) `) "/\" (F `)),((a `) "/\" ((F `) `))] is set
{(((a `) `) "/\" (F `)),((a `) "/\" ((F `) `))} is set
{(((a `) `) "/\" (F `))} is set
{{(((a `) `) "/\" (F `)),((a `) "/\" ((F `) `))},{(((a `) `) "/\" (F `))}} is set
the L_join of B . [(((a `) `) "/\" (F `)),((a `) "/\" ((F `) `))] is set
((a `) "/\" F) "\/" (((a `) `) "/\" (F `)) is Element of the carrier of B
the L_join of B . (((a `) "/\" F),(((a `) `) "/\" (F `))) is Element of the carrier of B
[((a `) "/\" F),(((a `) `) "/\" (F `))] is set
{((a `) "/\" F),(((a `) `) "/\" (F `))} is set
{((a `) "/\" F)} is set
{{((a `) "/\" F),(((a `) `) "/\" (F `))},{((a `) "/\" F)}} is set
the L_join of B . [((a `) "/\" F),(((a `) `) "/\" (F `))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a <=> F is Element of the carrier of B
a => F is Element of the carrier of B
F => a is Element of the carrier of B
(a => F) "/\" (F => a) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((a => F),(F => a)) is Element of the carrier of B
[(a => F),(F => a)] is set
{(a => F),(F => a)} is set
{(a => F)} is set
{{(a => F),(F => a)},{(a => F)}} is set
the L_meet of B . [(a => F),(F => a)] is set
E is Element of the carrier of B
a <=> E is Element of the carrier of B
a => E is Element of the carrier of B
E => a is Element of the carrier of B
(a => E) "/\" (E => a) is Element of the carrier of B
the L_meet of B . ((a => E),(E => a)) is Element of the carrier of B
[(a => E),(E => a)] is set
{(a => E),(E => a)} is set
{(a => E)} is set
{{(a => E),(E => a)},{(a => E)}} is set
the L_meet of B . [(a => E),(E => a)] is set
a "/\" F is Element of the carrier of B
the L_meet of B . (a,F) is Element of the carrier of B
[a,F] is set
{a,F} is set
{a} is set
{{a,F},{a}} is set
the L_meet of B . [a,F] is set
a "/\" E is Element of the carrier of B
the L_meet of B . (a,E) is Element of the carrier of B
[a,E] is set
{a,E} is set
{{a,E},{a}} is set
the L_meet of B . [a,E] is set
F "/\" E is Element of the carrier of B
the L_meet of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
the L_meet of B . [F,E] is set
F ` is Element of the carrier of B
E ` is Element of the carrier of B
(F `) "/\" (E `) is Element of the carrier of B
the L_meet of B . ((F `),(E `)) is Element of the carrier of B
[(F `),(E `)] is set
{(F `),(E `)} is set
{(F `)} is set
{{(F `),(E `)},{(F `)}} is set
the L_meet of B . [(F `),(E `)] is set
a ` is Element of the carrier of B
(a `) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((a `),(F `)) is Element of the carrier of B
[(a `),(F `)] is set
{(a `),(F `)} is set
{(a `)} is set
{{(a `),(F `)},{(a `)}} is set
the L_meet of B . [(a `),(F `)] is set
(a `) "/\" (E `) is Element of the carrier of B
the L_meet of B . ((a `),(E `)) is Element of the carrier of B
[(a `),(E `)] is set
{(a `),(E `)} is set
{{(a `),(E `)},{(a `)}} is set
the L_meet of B . [(a `),(E `)] is set
(a `) "/\" F is Element of the carrier of B
the L_meet of B . ((a `),F) is Element of the carrier of B
[(a `),F] is set
{(a `),F} is set
{{(a `),F},{(a `)}} is set
the L_meet of B . [(a `),F] is set
(a `) "/\" E is Element of the carrier of B
the L_meet of B . ((a `),E) is Element of the carrier of B
[(a `),E] is set
{(a `),E} is set
{{(a `),E},{(a `)}} is set
the L_meet of B . [(a `),E] is set
a "/\" (F `) is Element of the carrier of B
the L_meet of B . (a,(F `)) is Element of the carrier of B
[a,(F `)] is set
{a,(F `)} is set
{{a,(F `)},{a}} is set
the L_meet of B . [a,(F `)] is set
a "/\" (E `) is Element of the carrier of B
the L_meet of B . (a,(E `)) is Element of the carrier of B
[a,(E `)] is set
{a,(E `)} is set
{{a,(E `)},{a}} is set
the L_meet of B . [a,(E `)] is set
(a <=> F) <=> (a <=> E) is Element of the carrier of B
(a <=> F) => (a <=> E) is Element of the carrier of B
(a <=> E) => (a <=> F) is Element of the carrier of B
((a <=> F) => (a <=> E)) "/\" ((a <=> E) => (a <=> F)) is Element of the carrier of B
the L_meet of B . (((a <=> F) => (a <=> E)),((a <=> E) => (a <=> F))) is Element of the carrier of B
[((a <=> F) => (a <=> E)),((a <=> E) => (a <=> F))] is set
{((a <=> F) => (a <=> E)),((a <=> E) => (a <=> F))} is set
{((a <=> F) => (a <=> E))} is set
{{((a <=> F) => (a <=> E)),((a <=> E) => (a <=> F))},{((a <=> F) => (a <=> E))}} is set
the L_meet of B . [((a <=> F) => (a <=> E)),((a <=> E) => (a <=> F))] is set
(a <=> F) "/\" (a <=> E) is Element of the carrier of B
the L_meet of B . ((a <=> F),(a <=> E)) is Element of the carrier of B
[(a <=> F),(a <=> E)] is set
{(a <=> F),(a <=> E)} is set
{(a <=> F)} is set
{{(a <=> F),(a <=> E)},{(a <=> F)}} is set
the L_meet of B . [(a <=> F),(a <=> E)] is set
(a <=> F) ` is Element of the carrier of B
(a <=> E) ` is Element of the carrier of B
((a <=> F) `) "/\" ((a <=> E) `) is Element of the carrier of B
the L_meet of B . (((a <=> F) `),((a <=> E) `)) is Element of the carrier of B
[((a <=> F) `),((a <=> E) `)] is set
{((a <=> F) `),((a <=> E) `)} is set
{((a <=> F) `)} is set
{{((a <=> F) `),((a <=> E) `)},{((a <=> F) `)}} is set
the L_meet of B . [((a <=> F) `),((a <=> E) `)] is set
((a <=> F) "/\" (a <=> E)) "\/" (((a <=> F) `) "/\" ((a <=> E) `)) is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . (((a <=> F) "/\" (a <=> E)),(((a <=> F) `) "/\" ((a <=> E) `))) is Element of the carrier of B
[((a <=> F) "/\" (a <=> E)),(((a <=> F) `) "/\" ((a <=> E) `))] is set
{((a <=> F) "/\" (a <=> E)),(((a <=> F) `) "/\" ((a <=> E) `))} is set
{((a <=> F) "/\" (a <=> E))} is set
{{((a <=> F) "/\" (a <=> E)),(((a <=> F) `) "/\" ((a <=> E) `))},{((a <=> F) "/\" (a <=> E))}} is set
the L_join of B . [((a <=> F) "/\" (a <=> E)),(((a <=> F) `) "/\" ((a <=> E) `))] is set
(a "/\" F) "\/" ((a `) "/\" (F `)) is Element of the carrier of B
the L_join of B . ((a "/\" F),((a `) "/\" (F `))) is Element of the carrier of B
[(a "/\" F),((a `) "/\" (F `))] is set
{(a "/\" F),((a `) "/\" (F `))} is set
{(a "/\" F)} is set
{{(a "/\" F),((a `) "/\" (F `))},{(a "/\" F)}} is set
the L_join of B . [(a "/\" F),((a `) "/\" (F `))] is set
(a "/\" E) "\/" ((a `) "/\" (E `)) is Element of the carrier of B
the L_join of B . ((a "/\" E),((a `) "/\" (E `))) is Element of the carrier of B
[(a "/\" E),((a `) "/\" (E `))] is set
{(a "/\" E),((a `) "/\" (E `))} is set
{(a "/\" E)} is set
{{(a "/\" E),((a `) "/\" (E `))},{(a "/\" E)}} is set
the L_join of B . [(a "/\" E),((a `) "/\" (E `))] is set
(a "/\" (F `)) "\/" ((a `) "/\" F) is Element of the carrier of B
the L_join of B . ((a "/\" (F `)),((a `) "/\" F)) is Element of the carrier of B
[(a "/\" (F `)),((a `) "/\" F)] is set
{(a "/\" (F `)),((a `) "/\" F)} is set
{(a "/\" (F `))} is set
{{(a "/\" (F `)),((a `) "/\" F)},{(a "/\" (F `))}} is set
the L_join of B . [(a "/\" (F `)),((a `) "/\" F)] is set
(a "/\" (E `)) "\/" ((a `) "/\" E) is Element of the carrier of B
the L_join of B . ((a "/\" (E `)),((a `) "/\" E)) is Element of the carrier of B
[(a "/\" (E `)),((a `) "/\" E)] is set
{(a "/\" (E `)),((a `) "/\" E)} is set
{(a "/\" (E `))} is set
{{(a "/\" (E `)),((a `) "/\" E)},{(a "/\" (E `))}} is set
the L_join of B . [(a "/\" (E `)),((a `) "/\" E)] is set
((a "/\" F) "\/" ((a `) "/\" (F `))) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))) is Element of the carrier of B
the L_meet of B . (((a "/\" F) "\/" ((a `) "/\" (F `))),((a "/\" E) "\/" ((a `) "/\" (E `)))) is Element of the carrier of B
[((a "/\" F) "\/" ((a `) "/\" (F `))),((a "/\" E) "\/" ((a `) "/\" (E `)))] is set
{((a "/\" F) "\/" ((a `) "/\" (F `))),((a "/\" E) "\/" ((a `) "/\" (E `)))} is set
{((a "/\" F) "\/" ((a `) "/\" (F `)))} is set
{{((a "/\" F) "\/" ((a `) "/\" (F `))),((a "/\" E) "\/" ((a `) "/\" (E `)))},{((a "/\" F) "\/" ((a `) "/\" (F `)))}} is set
the L_meet of B . [((a "/\" F) "\/" ((a `) "/\" (F `))),((a "/\" E) "\/" ((a `) "/\" (E `)))] is set
(a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))) is Element of the carrier of B
the L_meet of B . ((a "/\" F),((a "/\" E) "\/" ((a `) "/\" (E `)))) is Element of the carrier of B
[(a "/\" F),((a "/\" E) "\/" ((a `) "/\" (E `)))] is set
{(a "/\" F),((a "/\" E) "\/" ((a `) "/\" (E `)))} is set
{{(a "/\" F),((a "/\" E) "\/" ((a `) "/\" (E `)))},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),((a "/\" E) "\/" ((a `) "/\" (E `)))] is set
((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))) is Element of the carrier of B
the L_meet of B . (((a `) "/\" (F `)),((a "/\" E) "\/" ((a `) "/\" (E `)))) is Element of the carrier of B
[((a `) "/\" (F `)),((a "/\" E) "\/" ((a `) "/\" (E `)))] is set
{((a `) "/\" (F `)),((a "/\" E) "\/" ((a `) "/\" (E `)))} is set
{((a `) "/\" (F `))} is set
{{((a `) "/\" (F `)),((a "/\" E) "\/" ((a `) "/\" (E `)))},{((a `) "/\" (F `))}} is set
the L_meet of B . [((a `) "/\" (F `)),((a "/\" E) "\/" ((a `) "/\" (E `)))] is set
((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))) "\/" (((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))) is Element of the carrier of B
the L_join of B . (((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))),(((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))) is Element of the carrier of B
[((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))),(((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))] is set
{((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))),(((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))} is set
{((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))} is set
{{((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))),(((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))},{((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))}} is set
the L_join of B . [((a "/\" F) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `)))),(((a `) "/\" (F `)) "/\" ((a "/\" E) "\/" ((a `) "/\" (E `))))] is set
(a "/\" F) "/\" (a "/\" E) is Element of the carrier of B
the L_meet of B . ((a "/\" F),(a "/\" E)) is Element of the carrier of B
[(a "/\" F),(a "/\" E)] is set
{(a "/\" F),(a "/\" E)} is set
{{(a "/\" F),(a "/\" E)},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),(a "/\" E)] is set
(a "/\" F) "/\" ((a `) "/\" (E `)) is Element of the carrier of B
the L_meet of B . ((a "/\" F),((a `) "/\" (E `))) is Element of the carrier of B
[(a "/\" F),((a `) "/\" (E `))] is set
{(a "/\" F),((a `) "/\" (E `))} is set
{{(a "/\" F),((a `) "/\" (E `))},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),((a `) "/\" (E `))] is set
((a "/\" F) "/\" (a "/\" E)) "\/" ((a "/\" F) "/\" ((a `) "/\" (E `))) is Element of the carrier of B
the L_join of B . (((a "/\" F) "/\" (a "/\" E)),((a "/\" F) "/\" ((a `) "/\" (E `)))) is Element of the carrier of B
[((a "/\" F) "/\" (a "/\" E)),((a "/\" F) "/\" ((a `) "/\" (E `)))] is set
{((a "/\" F) "/\" (a "/\" E)),((a "/\" F) "/\" ((a `) "/\" (E `)))} is set
{((a "/\" F) "/\" (a "/\" E))} is set
{{((a "/\" F) "/\" (a "/\" E)),((a "/\" F) "/\" ((a `) "/\" (E `)))},{((a "/\" F) "/\" (a "/\" E))}} is set
the L_join of B . [((a "/\" F) "/\" (a "/\" E)),((a "/\" F) "/\" ((a `) "/\" (E `)))] is set
(a "/\" F) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((a "/\" F),(a `)) is Element of the carrier of B
[(a "/\" F),(a `)] is set
{(a "/\" F),(a `)} is set
{{(a "/\" F),(a `)},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),(a `)] is set
((a "/\" F) "/\" (a `)) "/\" (E `) is Element of the carrier of B
the L_meet of B . (((a "/\" F) "/\" (a `)),(E `)) is Element of the carrier of B
[((a "/\" F) "/\" (a `)),(E `)] is set
{((a "/\" F) "/\" (a `)),(E `)} is set
{((a "/\" F) "/\" (a `))} is set
{{((a "/\" F) "/\" (a `)),(E `)},{((a "/\" F) "/\" (a `))}} is set
the L_meet of B . [((a "/\" F) "/\" (a `)),(E `)] is set
((a `) "/\" (F `)) "/\" (a "/\" E) is Element of the carrier of B
the L_meet of B . (((a `) "/\" (F `)),(a "/\" E)) is Element of the carrier of B
[((a `) "/\" (F `)),(a "/\" E)] is set
{((a `) "/\" (F `)),(a "/\" E)} is set
{{((a `) "/\" (F `)),(a "/\" E)},{((a `) "/\" (F `))}} is set
the L_meet of B . [((a `) "/\" (F `)),(a "/\" E)] is set
((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)) is Element of the carrier of B
the L_meet of B . (((a `) "/\" (F `)),((a `) "/\" (E `))) is Element of the carrier of B
[((a `) "/\" (F `)),((a `) "/\" (E `))] is set
{((a `) "/\" (F `)),((a `) "/\" (E `))} is set
{{((a `) "/\" (F `)),((a `) "/\" (E `))},{((a `) "/\" (F `))}} is set
the L_meet of B . [((a `) "/\" (F `)),((a `) "/\" (E `))] is set
(((a `) "/\" (F `)) "/\" (a "/\" E)) "\/" (((a `) "/\" (F `)) "/\" ((a `) "/\" (E `))) is Element of the carrier of B
the L_join of B . ((((a `) "/\" (F `)) "/\" (a "/\" E)),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))) is Element of the carrier of B
[(((a `) "/\" (F `)) "/\" (a "/\" E)),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))] is set
{(((a `) "/\" (F `)) "/\" (a "/\" E)),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))} is set
{(((a `) "/\" (F `)) "/\" (a "/\" E))} is set
{{(((a `) "/\" (F `)) "/\" (a "/\" E)),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))},{(((a `) "/\" (F `)) "/\" (a "/\" E))}} is set
the L_join of B . [(((a `) "/\" (F `)) "/\" (a "/\" E)),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))] is set
F "/\" a is Element of the carrier of B
the L_meet of B . (F,a) is Element of the carrier of B
[F,a] is set
{F,a} is set
{{F,a},{F}} is set
the L_meet of B . [F,a] is set
(F "/\" a) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((F "/\" a),(a `)) is Element of the carrier of B
[(F "/\" a),(a `)] is set
{(F "/\" a),(a `)} is set
{(F "/\" a)} is set
{{(F "/\" a),(a `)},{(F "/\" a)}} is set
the L_meet of B . [(F "/\" a),(a `)] is set
a "/\" (a `) is Element of the carrier of B
the L_meet of B . (a,(a `)) is Element of the carrier of B
[a,(a `)] is set
{a,(a `)} is set
{{a,(a `)},{a}} is set
the L_meet of B . [a,(a `)] is set
F "/\" (a "/\" (a `)) is Element of the carrier of B
the L_meet of B . (F,(a "/\" (a `))) is Element of the carrier of B
[F,(a "/\" (a `))] is set
{F,(a "/\" (a `))} is set
{{F,(a "/\" (a `))},{F}} is set
the L_meet of B . [F,(a "/\" (a `))] is set
Bottom B is Element of the carrier of B
(F `) "/\" (Bottom B) is Element of the carrier of B
the L_meet of B . ((F `),(Bottom B)) is Element of the carrier of B
[(F `),(Bottom B)] is set
{(F `),(Bottom B)} is set
{{(F `),(Bottom B)},{(F `)}} is set
the L_meet of B . [(F `),(Bottom B)] is set
((a `) "/\" (F `)) "/\" a is Element of the carrier of B
the L_meet of B . (((a `) "/\" (F `)),a) is Element of the carrier of B
[((a `) "/\" (F `)),a] is set
{((a `) "/\" (F `)),a} is set
{{((a `) "/\" (F `)),a},{((a `) "/\" (F `))}} is set
the L_meet of B . [((a `) "/\" (F `)),a] is set
(((a `) "/\" (F `)) "/\" a) "/\" E is Element of the carrier of B
the L_meet of B . ((((a `) "/\" (F `)) "/\" a),E) is Element of the carrier of B
[(((a `) "/\" (F `)) "/\" a),E] is set
{(((a `) "/\" (F `)) "/\" a),E} is set
{(((a `) "/\" (F `)) "/\" a)} is set
{{(((a `) "/\" (F `)) "/\" a),E},{(((a `) "/\" (F `)) "/\" a)}} is set
the L_meet of B . [(((a `) "/\" (F `)) "/\" a),E] is set
(F `) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((F `),(a `)) is Element of the carrier of B
[(F `),(a `)] is set
{(F `),(a `)} is set
{{(F `),(a `)},{(F `)}} is set
the L_meet of B . [(F `),(a `)] is set
((F `) "/\" (a `)) "/\" a is Element of the carrier of B
the L_meet of B . (((F `) "/\" (a `)),a) is Element of the carrier of B
[((F `) "/\" (a `)),a] is set
{((F `) "/\" (a `)),a} is set
{((F `) "/\" (a `))} is set
{{((F `) "/\" (a `)),a},{((F `) "/\" (a `))}} is set
the L_meet of B . [((F `) "/\" (a `)),a] is set
(a `) "/\" a is Element of the carrier of B
the L_meet of B . ((a `),a) is Element of the carrier of B
[(a `),a] is set
{(a `),a} is set
{{(a `),a},{(a `)}} is set
the L_meet of B . [(a `),a] is set
(F `) "/\" ((a `) "/\" a) is Element of the carrier of B
the L_meet of B . ((F `),((a `) "/\" a)) is Element of the carrier of B
[(F `),((a `) "/\" a)] is set
{(F `),((a `) "/\" a)} is set
{{(F `),((a `) "/\" a)},{(F `)}} is set
the L_meet of B . [(F `),((a `) "/\" a)] is set
((a "/\" F) "/\" (a "/\" E)) "\/" (Bottom B) is Element of the carrier of B
the L_join of B . (((a "/\" F) "/\" (a "/\" E)),(Bottom B)) is Element of the carrier of B
[((a "/\" F) "/\" (a "/\" E)),(Bottom B)] is set
{((a "/\" F) "/\" (a "/\" E)),(Bottom B)} is set
{{((a "/\" F) "/\" (a "/\" E)),(Bottom B)},{((a "/\" F) "/\" (a "/\" E))}} is set
the L_join of B . [((a "/\" F) "/\" (a "/\" E)),(Bottom B)] is set
(Bottom B) "\/" (((a `) "/\" (F `)) "/\" ((a `) "/\" (E `))) is Element of the carrier of B
the L_join of B . ((Bottom B),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))) is Element of the carrier of B
[(Bottom B),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))] is set
{(Bottom B),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))} is set
{(Bottom B)} is set
{{(Bottom B),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))},{(Bottom B)}} is set
the L_join of B . [(Bottom B),(((a `) "/\" (F `)) "/\" ((a `) "/\" (E `)))] is set
((a "/\" (F `)) "\/" ((a `) "/\" F)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)) is Element of the carrier of B
the L_meet of B . (((a "/\" (F `)) "\/" ((a `) "/\" F)),((a "/\" (E `)) "\/" ((a `) "/\" E))) is Element of the carrier of B
[((a "/\" (F `)) "\/" ((a `) "/\" F)),((a "/\" (E `)) "\/" ((a `) "/\" E))] is set
{((a "/\" (F `)) "\/" ((a `) "/\" F)),((a "/\" (E `)) "\/" ((a `) "/\" E))} is set
{((a "/\" (F `)) "\/" ((a `) "/\" F))} is set
{{((a "/\" (F `)) "\/" ((a `) "/\" F)),((a "/\" (E `)) "\/" ((a `) "/\" E))},{((a "/\" (F `)) "\/" ((a `) "/\" F))}} is set
the L_meet of B . [((a "/\" (F `)) "\/" ((a `) "/\" F)),((a "/\" (E `)) "\/" ((a `) "/\" E))] is set
(a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)) is Element of the carrier of B
the L_meet of B . ((a "/\" (F `)),((a "/\" (E `)) "\/" ((a `) "/\" E))) is Element of the carrier of B
[(a "/\" (F `)),((a "/\" (E `)) "\/" ((a `) "/\" E))] is set
{(a "/\" (F `)),((a "/\" (E `)) "\/" ((a `) "/\" E))} is set
{{(a "/\" (F `)),((a "/\" (E `)) "\/" ((a `) "/\" E))},{(a "/\" (F `))}} is set
the L_meet of B . [(a "/\" (F `)),((a "/\" (E `)) "\/" ((a `) "/\" E))] is set
((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)) is Element of the carrier of B
the L_meet of B . (((a `) "/\" F),((a "/\" (E `)) "\/" ((a `) "/\" E))) is Element of the carrier of B
[((a `) "/\" F),((a "/\" (E `)) "\/" ((a `) "/\" E))] is set
{((a `) "/\" F),((a "/\" (E `)) "\/" ((a `) "/\" E))} is set
{((a `) "/\" F)} is set
{{((a `) "/\" F),((a "/\" (E `)) "\/" ((a `) "/\" E))},{((a `) "/\" F)}} is set
the L_meet of B . [((a `) "/\" F),((a "/\" (E `)) "\/" ((a `) "/\" E))] is set
((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))) "\/" (((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))) is Element of the carrier of B
the L_join of B . (((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))),(((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))) is Element of the carrier of B
[((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))),(((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))] is set
{((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))),(((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))} is set
{((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))} is set
{{((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))),(((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))},{((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))}} is set
the L_join of B . [((a "/\" (F `)) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E))),(((a `) "/\" F) "/\" ((a "/\" (E `)) "\/" ((a `) "/\" E)))] is set
(a "/\" (F `)) "/\" (a "/\" (E `)) is Element of the carrier of B
the L_meet of B . ((a "/\" (F `)),(a "/\" (E `))) is Element of the carrier of B
[(a "/\" (F `)),(a "/\" (E `))] is set
{(a "/\" (F `)),(a "/\" (E `))} is set
{{(a "/\" (F `)),(a "/\" (E `))},{(a "/\" (F `))}} is set
the L_meet of B . [(a "/\" (F `)),(a "/\" (E `))] is set
(a "/\" (F `)) "/\" ((a `) "/\" E) is Element of the carrier of B
the L_meet of B . ((a "/\" (F `)),((a `) "/\" E)) is Element of the carrier of B
[(a "/\" (F `)),((a `) "/\" E)] is set
{(a "/\" (F `)),((a `) "/\" E)} is set
{{(a "/\" (F `)),((a `) "/\" E)},{(a "/\" (F `))}} is set
the L_meet of B . [(a "/\" (F `)),((a `) "/\" E)] is set
((a "/\" (F `)) "/\" (a "/\" (E `))) "\/" ((a "/\" (F `)) "/\" ((a `) "/\" E)) is Element of the carrier of B
the L_join of B . (((a "/\" (F `)) "/\" (a "/\" (E `))),((a "/\" (F `)) "/\" ((a `) "/\" E))) is Element of the carrier of B
[((a "/\" (F `)) "/\" (a "/\" (E `))),((a "/\" (F `)) "/\" ((a `) "/\" E))] is set
{((a "/\" (F `)) "/\" (a "/\" (E `))),((a "/\" (F `)) "/\" ((a `) "/\" E))} is set
{((a "/\" (F `)) "/\" (a "/\" (E `)))} is set
{{((a "/\" (F `)) "/\" (a "/\" (E `))),((a "/\" (F `)) "/\" ((a `) "/\" E))},{((a "/\" (F `)) "/\" (a "/\" (E `)))}} is set
the L_join of B . [((a "/\" (F `)) "/\" (a "/\" (E `))),((a "/\" (F `)) "/\" ((a `) "/\" E))] is set
(a "/\" (F `)) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((a "/\" (F `)),(a `)) is Element of the carrier of B
[(a "/\" (F `)),(a `)] is set
{(a "/\" (F `)),(a `)} is set
{{(a "/\" (F `)),(a `)},{(a "/\" (F `))}} is set
the L_meet of B . [(a "/\" (F `)),(a `)] is set
((a "/\" (F `)) "/\" (a `)) "/\" E is Element of the carrier of B
the L_meet of B . (((a "/\" (F `)) "/\" (a `)),E) is Element of the carrier of B
[((a "/\" (F `)) "/\" (a `)),E] is set
{((a "/\" (F `)) "/\" (a `)),E} is set
{((a "/\" (F `)) "/\" (a `))} is set
{{((a "/\" (F `)) "/\" (a `)),E},{((a "/\" (F `)) "/\" (a `))}} is set
the L_meet of B . [((a "/\" (F `)) "/\" (a `)),E] is set
((a `) "/\" F) "/\" (a "/\" (E `)) is Element of the carrier of B
the L_meet of B . (((a `) "/\" F),(a "/\" (E `))) is Element of the carrier of B
[((a `) "/\" F),(a "/\" (E `))] is set
{((a `) "/\" F),(a "/\" (E `))} is set
{{((a `) "/\" F),(a "/\" (E `))},{((a `) "/\" F)}} is set
the L_meet of B . [((a `) "/\" F),(a "/\" (E `))] is set
((a `) "/\" F) "/\" ((a `) "/\" E) is Element of the carrier of B
the L_meet of B . (((a `) "/\" F),((a `) "/\" E)) is Element of the carrier of B
[((a `) "/\" F),((a `) "/\" E)] is set
{((a `) "/\" F),((a `) "/\" E)} is set
{{((a `) "/\" F),((a `) "/\" E)},{((a `) "/\" F)}} is set
the L_meet of B . [((a `) "/\" F),((a `) "/\" E)] is set
(((a `) "/\" F) "/\" (a "/\" (E `))) "\/" (((a `) "/\" F) "/\" ((a `) "/\" E)) is Element of the carrier of B
the L_join of B . ((((a `) "/\" F) "/\" (a "/\" (E `))),(((a `) "/\" F) "/\" ((a `) "/\" E))) is Element of the carrier of B
[(((a `) "/\" F) "/\" (a "/\" (E `))),(((a `) "/\" F) "/\" ((a `) "/\" E))] is set
{(((a `) "/\" F) "/\" (a "/\" (E `))),(((a `) "/\" F) "/\" ((a `) "/\" E))} is set
{(((a `) "/\" F) "/\" (a "/\" (E `)))} is set
{{(((a `) "/\" F) "/\" (a "/\" (E `))),(((a `) "/\" F) "/\" ((a `) "/\" E))},{(((a `) "/\" F) "/\" (a "/\" (E `)))}} is set
the L_join of B . [(((a `) "/\" F) "/\" (a "/\" (E `))),(((a `) "/\" F) "/\" ((a `) "/\" E))] is set
(F `) "/\" a is Element of the carrier of B
the L_meet of B . ((F `),a) is Element of the carrier of B
[(F `),a] is set
{(F `),a} is set
{{(F `),a},{(F `)}} is set
the L_meet of B . [(F `),a] is set
((F `) "/\" a) "/\" (a `) is Element of the carrier of B
the L_meet of B . (((F `) "/\" a),(a `)) is Element of the carrier of B
[((F `) "/\" a),(a `)] is set
{((F `) "/\" a),(a `)} is set
{((F `) "/\" a)} is set
{{((F `) "/\" a),(a `)},{((F `) "/\" a)}} is set
the L_meet of B . [((F `) "/\" a),(a `)] is set
(F `) "/\" (a "/\" (a `)) is Element of the carrier of B
the L_meet of B . ((F `),(a "/\" (a `))) is Element of the carrier of B
[(F `),(a "/\" (a `))] is set
{(F `),(a "/\" (a `))} is set
{{(F `),(a "/\" (a `))},{(F `)}} is set
the L_meet of B . [(F `),(a "/\" (a `))] is set
F "/\" (Bottom B) is Element of the carrier of B
the L_meet of B . (F,(Bottom B)) is Element of the carrier of B
[F,(Bottom B)] is set
{F,(Bottom B)} is set
{{F,(Bottom B)},{F}} is set
the L_meet of B . [F,(Bottom B)] is set
(Bottom B) "/\" (E `) is Element of the carrier of B
the L_meet of B . ((Bottom B),(E `)) is Element of the carrier of B
[(Bottom B),(E `)] is set
{(Bottom B),(E `)} is set
{{(Bottom B),(E `)},{(Bottom B)}} is set
the L_meet of B . [(Bottom B),(E `)] is set
(Bottom B) "/\" E is Element of the carrier of B
the L_meet of B . ((Bottom B),E) is Element of the carrier of B
[(Bottom B),E] is set
{(Bottom B),E} is set
{{(Bottom B),E},{(Bottom B)}} is set
the L_meet of B . [(Bottom B),E] is set
F "/\" (a `) is Element of the carrier of B
the L_meet of B . (F,(a `)) is Element of the carrier of B
[F,(a `)] is set
{F,(a `)} is set
{{F,(a `)},{F}} is set
the L_meet of B . [F,(a `)] is set
((a `) "/\" F) "/\" a is Element of the carrier of B
the L_meet of B . (((a `) "/\" F),a) is Element of the carrier of B
[((a `) "/\" F),a] is set
{((a `) "/\" F),a} is set
{{((a `) "/\" F),a},{((a `) "/\" F)}} is set
the L_meet of B . [((a `) "/\" F),a] is set
(((a `) "/\" F) "/\" a) "/\" (E `) is Element of the carrier of B
the L_meet of B . ((((a `) "/\" F) "/\" a),(E `)) is Element of the carrier of B
[(((a `) "/\" F) "/\" a),(E `)] is set
{(((a `) "/\" F) "/\" a),(E `)} is set
{(((a `) "/\" F) "/\" a)} is set
{{(((a `) "/\" F) "/\" a),(E `)},{(((a `) "/\" F) "/\" a)}} is set
the L_meet of B . [(((a `) "/\" F) "/\" a),(E `)] is set
(F "/\" (a `)) "/\" a is Element of the carrier of B
the L_meet of B . ((F "/\" (a `)),a) is Element of the carrier of B
[(F "/\" (a `)),a] is set
{(F "/\" (a `)),a} is set
{(F "/\" (a `))} is set
{{(F "/\" (a `)),a},{(F "/\" (a `))}} is set
the L_meet of B . [(F "/\" (a `)),a] is set
F "/\" ((a `) "/\" a) is Element of the carrier of B
the L_meet of B . (F,((a `) "/\" a)) is Element of the carrier of B
[F,((a `) "/\" a)] is set
{F,((a `) "/\" a)} is set
{{F,((a `) "/\" a)},{F}} is set
the L_meet of B . [F,((a `) "/\" a)] is set
((a "/\" (F `)) "/\" (a "/\" (E `))) "\/" (Bottom B) is Element of the carrier of B
the L_join of B . (((a "/\" (F `)) "/\" (a "/\" (E `))),(Bottom B)) is Element of the carrier of B
[((a "/\" (F `)) "/\" (a "/\" (E `))),(Bottom B)] is set
{((a "/\" (F `)) "/\" (a "/\" (E `))),(Bottom B)} is set
{{((a "/\" (F `)) "/\" (a "/\" (E `))),(Bottom B)},{((a "/\" (F `)) "/\" (a "/\" (E `)))}} is set
the L_join of B . [((a "/\" (F `)) "/\" (a "/\" (E `))),(Bottom B)] is set
(Bottom B) "\/" (((a `) "/\" F) "/\" ((a `) "/\" E)) is Element of the carrier of B
the L_join of B . ((Bottom B),(((a `) "/\" F) "/\" ((a `) "/\" E))) is Element of the carrier of B
[(Bottom B),(((a `) "/\" F) "/\" ((a `) "/\" E))] is set
{(Bottom B),(((a `) "/\" F) "/\" ((a `) "/\" E))} is set
{{(Bottom B),(((a `) "/\" F) "/\" ((a `) "/\" E))},{(Bottom B)}} is set
the L_join of B . [(Bottom B),(((a `) "/\" F) "/\" ((a `) "/\" E))] is set
(a "/\" F) "/\" a is Element of the carrier of B
the L_meet of B . ((a "/\" F),a) is Element of the carrier of B
[(a "/\" F),a] is set
{(a "/\" F),a} is set
{{(a "/\" F),a},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),a] is set
((a "/\" F) "/\" a) "/\" E is Element of the carrier of B
the L_meet of B . (((a "/\" F) "/\" a),E) is Element of the carrier of B
[((a "/\" F) "/\" a),E] is set
{((a "/\" F) "/\" a),E} is set
{((a "/\" F) "/\" a)} is set
{{((a "/\" F) "/\" a),E},{((a "/\" F) "/\" a)}} is set
the L_meet of B . [((a "/\" F) "/\" a),E] is set
a "/\" (a "/\" F) is Element of the carrier of B
the L_meet of B . (a,(a "/\" F)) is Element of the carrier of B
[a,(a "/\" F)] is set
{a,(a "/\" F)} is set
{{a,(a "/\" F)},{a}} is set
the L_meet of B . [a,(a "/\" F)] is set
a "/\" a is Element of the carrier of B
the L_meet of B . (a,a) is Element of the carrier of B
[a,a] is set
{a,a} is set
{{a,a},{a}} is set
the L_meet of B . [a,a] is set
(a "/\" a) "/\" F is Element of the carrier of B
the L_meet of B . ((a "/\" a),F) is Element of the carrier of B
[(a "/\" a),F] is set
{(a "/\" a),F} is set
{(a "/\" a)} is set
{{(a "/\" a),F},{(a "/\" a)}} is set
the L_meet of B . [(a "/\" a),F] is set
((a `) "/\" (F `)) "/\" (a `) is Element of the carrier of B
the L_meet of B . (((a `) "/\" (F `)),(a `)) is Element of the carrier of B
[((a `) "/\" (F `)),(a `)] is set
{((a `) "/\" (F `)),(a `)} is set
{{((a `) "/\" (F `)),(a `)},{((a `) "/\" (F `))}} is set
the L_meet of B . [((a `) "/\" (F `)),(a `)] is set
(((a `) "/\" (F `)) "/\" (a `)) "/\" (E `) is Element of the carrier of B
the L_meet of B . ((((a `) "/\" (F `)) "/\" (a `)),(E `)) is Element of the carrier of B
[(((a `) "/\" (F `)) "/\" (a `)),(E `)] is set
{(((a `) "/\" (F `)) "/\" (a `)),(E `)} is set
{(((a `) "/\" (F `)) "/\" (a `))} is set
{{(((a `) "/\" (F `)) "/\" (a `)),(E `)},{(((a `) "/\" (F `)) "/\" (a `))}} is set
the L_meet of B . [(((a `) "/\" (F `)) "/\" (a `)),(E `)] is set
(a `) "/\" ((a `) "/\" (F `)) is Element of the carrier of B
the L_meet of B . ((a `),((a `) "/\" (F `))) is Element of the carrier of B
[(a `),((a `) "/\" (F `))] is set
{(a `),((a `) "/\" (F `))} is set
{{(a `),((a `) "/\" (F `))},{(a `)}} is set
the L_meet of B . [(a `),((a `) "/\" (F `))] is set
(a `) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((a `),(a `)) is Element of the carrier of B
[(a `),(a `)] is set
{(a `),(a `)} is set
{{(a `),(a `)},{(a `)}} is set
the L_meet of B . [(a `),(a `)] is set
((a `) "/\" (a `)) "/\" (F `) is Element of the carrier of B
the L_meet of B . (((a `) "/\" (a `)),(F `)) is Element of the carrier of B
[((a `) "/\" (a `)),(F `)] is set
{((a `) "/\" (a `)),(F `)} is set
{((a `) "/\" (a `))} is set
{{((a `) "/\" (a `)),(F `)},{((a `) "/\" (a `))}} is set
the L_meet of B . [((a `) "/\" (a `)),(F `)] is set
(a "/\" (F `)) "/\" a is Element of the carrier of B
the L_meet of B . ((a "/\" (F `)),a) is Element of the carrier of B
[(a "/\" (F `)),a] is set
{(a "/\" (F `)),a} is set
{{(a "/\" (F `)),a},{(a "/\" (F `))}} is set
the L_meet of B . [(a "/\" (F `)),a] is set
((a "/\" (F `)) "/\" a) "/\" (E `) is Element of the carrier of B
the L_meet of B . (((a "/\" (F `)) "/\" a),(E `)) is Element of the carrier of B
[((a "/\" (F `)) "/\" a),(E `)] is set
{((a "/\" (F `)) "/\" a),(E `)} is set
{((a "/\" (F `)) "/\" a)} is set
{{((a "/\" (F `)) "/\" a),(E `)},{((a "/\" (F `)) "/\" a)}} is set
the L_meet of B . [((a "/\" (F `)) "/\" a),(E `)] is set
a "/\" (a "/\" (F `)) is Element of the carrier of B
the L_meet of B . (a,(a "/\" (F `))) is Element of the carrier of B
[a,(a "/\" (F `))] is set
{a,(a "/\" (F `))} is set
{{a,(a "/\" (F `))},{a}} is set
the L_meet of B . [a,(a "/\" (F `))] is set
(a "/\" F) "/\" E is Element of the carrier of B
the L_meet of B . ((a "/\" F),E) is Element of the carrier of B
[(a "/\" F),E] is set
{(a "/\" F),E} is set
{{(a "/\" F),E},{(a "/\" F)}} is set
the L_meet of B . [(a "/\" F),E] is set
a "/\" (F "/\" E) is Element of the carrier of B
the L_meet of B . (a,(F "/\" E)) is Element of the carrier of B
[a,(F "/\" E)] is set
{a,(F "/\" E)} is set
{{a,(F "/\" E)},{a}} is set
the L_meet of B . [a,(F "/\" E)] is set
(a "/\" a) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((a "/\" a),(F `)) is Element of the carrier of B
[(a "/\" a),(F `)] is set
{(a "/\" a),(F `)} is set
{{(a "/\" a),(F `)},{(a "/\" a)}} is set
the L_meet of B . [(a "/\" a),(F `)] is set
((a `) "/\" F) "/\" (a `) is Element of the carrier of B
the L_meet of B . (((a `) "/\" F),(a `)) is Element of the carrier of B
[((a `) "/\" F),(a `)] is set
{((a `) "/\" F),(a `)} is set
{{((a `) "/\" F),(a `)},{((a `) "/\" F)}} is set
the L_meet of B . [((a `) "/\" F),(a `)] is set
(((a `) "/\" F) "/\" (a `)) "/\" E is Element of the carrier of B
the L_meet of B . ((((a `) "/\" F) "/\" (a `)),E) is Element of the carrier of B
[(((a `) "/\" F) "/\" (a `)),E] is set
{(((a `) "/\" F) "/\" (a `)),E} is set
{(((a `) "/\" F) "/\" (a `))} is set
{{(((a `) "/\" F) "/\" (a `)),E},{(((a `) "/\" F) "/\" (a `))}} is set
the L_meet of B . [(((a `) "/\" F) "/\" (a `)),E] is set
(a `) "/\" ((a `) "/\" F) is Element of the carrier of B
the L_meet of B . ((a `),((a `) "/\" F)) is Element of the carrier of B
[(a `),((a `) "/\" F)] is set
{(a `),((a `) "/\" F)} is set
{{(a `),((a `) "/\" F)},{(a `)}} is set
the L_meet of B . [(a `),((a `) "/\" F)] is set
((a `) "/\" F) "/\" E is Element of the carrier of B
the L_meet of B . (((a `) "/\" F),E) is Element of the carrier of B
[((a `) "/\" F),E] is set
{((a `) "/\" F),E} is set
{{((a `) "/\" F),E},{((a `) "/\" F)}} is set
the L_meet of B . [((a `) "/\" F),E] is set
(a `) "/\" (F "/\" E) is Element of the carrier of B
the L_meet of B . ((a `),(F "/\" E)) is Element of the carrier of B
[(a `),(F "/\" E)] is set
{(a `),(F "/\" E)} is set
{{(a `),(F "/\" E)},{(a `)}} is set
the L_meet of B . [(a `),(F "/\" E)] is set
(a "/\" (F `)) "/\" (E `) is Element of the carrier of B
the L_meet of B . ((a "/\" (F `)),(E `)) is Element of the carrier of B
[(a "/\" (F `)),(E `)] is set
{(a "/\" (F `)),(E `)} is set
{{(a "/\" (F `)),(E `)},{(a "/\" (F `))}} is set
the L_meet of B . [(a "/\" (F `)),(E `)] is set
a "/\" ((F `) "/\" (E `)) is Element of the carrier of B
the L_meet of B . (a,((F `) "/\" (E `))) is Element of the carrier of B
[a,((F `) "/\" (E `))] is set
{a,((F `) "/\" (E `))} is set
{{a,((F `) "/\" (E `))},{a}} is set
the L_meet of B . [a,((F `) "/\" (E `))] is set
((a `) "/\" (F `)) "/\" (E `) is Element of the carrier of B
the L_meet of B . (((a `) "/\" (F `)),(E `)) is Element of the carrier of B
[((a `) "/\" (F `)),(E `)] is set
{((a `) "/\" (F `)),(E `)} is set
{{((a `) "/\" (F `)),(E `)},{((a `) "/\" (F `))}} is set
the L_meet of B . [((a `) "/\" (F `)),(E `)] is set
(a `) "/\" ((F `) "/\" (E `)) is Element of the carrier of B
the L_meet of B . ((a `),((F `) "/\" (E `))) is Element of the carrier of B
[(a `),((F `) "/\" (E `))] is set
{(a `),((F `) "/\" (E `))} is set
{{(a `),((F `) "/\" (E `))},{(a `)}} is set
the L_meet of B . [(a `),((F `) "/\" (E `))] is set
((a `) "/\" (a `)) "/\" F is Element of the carrier of B
the L_meet of B . (((a `) "/\" (a `)),F) is Element of the carrier of B
[((a `) "/\" (a `)),F] is set
{((a `) "/\" (a `)),F} is set
{{((a `) "/\" (a `)),F},{((a `) "/\" (a `))}} is set
the L_meet of B . [((a `) "/\" (a `)),F] is set
(a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))) is Element of the carrier of B
the L_join of B . ((a "/\" (F "/\" E)),((a `) "/\" ((F `) "/\" (E `)))) is Element of the carrier of B
[(a "/\" (F "/\" E)),((a `) "/\" ((F `) "/\" (E `)))] is set
{(a "/\" (F "/\" E)),((a `) "/\" ((F `) "/\" (E `)))} is set
{(a "/\" (F "/\" E))} is set
{{(a "/\" (F "/\" E)),((a `) "/\" ((F `) "/\" (E `)))},{(a "/\" (F "/\" E))}} is set
the L_join of B . [(a "/\" (F "/\" E)),((a `) "/\" ((F `) "/\" (E `)))] is set
(a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)) is Element of the carrier of B
the L_join of B . ((a "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))) is Element of the carrier of B
[(a "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))] is set
{(a "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))} is set
{(a "/\" ((F `) "/\" (E `)))} is set
{{(a "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))},{(a "/\" ((F `) "/\" (E `)))}} is set
the L_join of B . [(a "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))] is set
((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" ((a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E))) is Element of the carrier of B
the L_join of B . (((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))) is Element of the carrier of B
[((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))] is set
{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))} is set
{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))} is set
{{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))},{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))}} is set
the L_join of B . [((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))] is set
((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `))) is Element of the carrier of B
the L_join of B . (((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),(a "/\" ((F `) "/\" (E `)))) is Element of the carrier of B
[((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),(a "/\" ((F `) "/\" (E `)))] is set
{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),(a "/\" ((F `) "/\" (E `)))} is set
{{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),(a "/\" ((F `) "/\" (E `)))},{((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))}} is set
the L_join of B . [((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))),(a "/\" ((F `) "/\" (E `)))] is set
(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `)))) "\/" ((a `) "/\" (F "/\" E)) is Element of the carrier of B
the L_join of B . ((((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))) is Element of the carrier of B
[(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))] is set
{(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))} is set
{(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `))))} is set
{{(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))},{(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `))))}} is set
the L_join of B . [(((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" (a "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))] is set
(a "/\" ((F `) "/\" (E `))) "\/" ((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `)))) is Element of the carrier of B
the L_join of B . ((a "/\" ((F `) "/\" (E `))),((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))) is Element of the carrier of B
[(a "/\" ((F `) "/\" (E `))),((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))] is set
{(a "/\" ((F `) "/\" (E `))),((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))} is set
{{(a "/\" ((F `) "/\" (E `))),((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))},{(a "/\" ((F `) "/\" (E `)))}} is set
the L_join of B . [(a "/\" ((F `) "/\" (E `))),((a "/\" (F "/\" E)) "\/" ((a `) "/\" ((F `) "/\" (E `))))] is set
(a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E)) is Element of the carrier of B
the L_join of B . ((a "/\" ((F `) "/\" (E `))),(a "/\" (F "/\" E))) is Element of the carrier of B
[(a "/\" ((F `) "/\" (E `))),(a "/\" (F "/\" E))] is set
{(a "/\" ((F `) "/\" (E `))),(a "/\" (F "/\" E))} is set
{{(a "/\" ((F `) "/\" (E `))),(a "/\" (F "/\" E))},{(a "/\" ((F `) "/\" (E `)))}} is set
the L_join of B . [(a "/\" ((F `) "/\" (E `))),(a "/\" (F "/\" E))] is set
((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `))) is Element of the carrier of B
the L_join of B . (((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))) is Element of the carrier of B
[((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))] is set
{((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))} is set
{((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E)))} is set
{{((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))},{((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E)))}} is set
the L_join of B . [((a "/\" ((F `) "/\" (E `))) "\/" (a "/\" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))] is set
((F `) "/\" (E `)) "\/" (F "/\" E) is Element of the carrier of B
the L_join of B . (((F `) "/\" (E `)),(F "/\" E)) is Element of the carrier of B
[((F `) "/\" (E `)),(F "/\" E)] is set
{((F `) "/\" (E `)),(F "/\" E)} is set
{((F `) "/\" (E `))} is set
{{((F `) "/\" (E `)),(F "/\" E)},{((F `) "/\" (E `))}} is set
the L_join of B . [((F `) "/\" (E `)),(F "/\" E)] is set
a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)) is Element of the carrier of B
the L_meet of B . (a,(((F `) "/\" (E `)) "\/" (F "/\" E))) is Element of the carrier of B
[a,(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
{a,(((F `) "/\" (E `)) "\/" (F "/\" E))} is set
{{a,(((F `) "/\" (E `)) "\/" (F "/\" E))},{a}} is set
the L_meet of B . [a,(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
(F "/\" E) "\/" ((F `) "/\" (E `)) is Element of the carrier of B
the L_join of B . ((F "/\" E),((F `) "/\" (E `))) is Element of the carrier of B
[(F "/\" E),((F `) "/\" (E `))] is set
{(F "/\" E),((F `) "/\" (E `))} is set
{(F "/\" E)} is set
{{(F "/\" E),((F `) "/\" (E `))},{(F "/\" E)}} is set
the L_join of B . [(F "/\" E),((F `) "/\" (E `))] is set
((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)) is Element of the carrier of B
the L_join of B . (((a `) "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))) is Element of the carrier of B
[((a `) "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))] is set
{((a `) "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))} is set
{((a `) "/\" ((F `) "/\" (E `)))} is set
{{((a `) "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))},{((a `) "/\" ((F `) "/\" (E `)))}} is set
the L_join of B . [((a `) "/\" ((F `) "/\" (E `))),((a `) "/\" (F "/\" E))] is set
(a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)) is Element of the carrier of B
the L_meet of B . ((a `),(((F `) "/\" (E `)) "\/" (F "/\" E))) is Element of the carrier of B
[(a `),(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
{(a `),(((F `) "/\" (E `)) "\/" (F "/\" E))} is set
{{(a `),(((F `) "/\" (E `)) "\/" (F "/\" E))},{(a `)}} is set
the L_meet of B . [(a `),(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
Top B is Element of the carrier of B
(Top B) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)) is Element of the carrier of B
the L_meet of B . ((Top B),(((F `) "/\" (E `)) "\/" (F "/\" E))) is Element of the carrier of B
[(Top B),(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
{(Top B),(((F `) "/\" (E `)) "\/" (F "/\" E))} is set
{(Top B)} is set
{{(Top B),(((F `) "/\" (E `)) "\/" (F "/\" E))},{(Top B)}} is set
the L_meet of B . [(Top B),(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `))) is Element of the carrier of B
the L_join of B . ((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))) is Element of the carrier of B
[(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))] is set
{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))} is set
{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))} is set
{{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))},{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))}} is set
the L_join of B . [(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" ((F `) "/\" (E `)))] is set
((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `)))) "\/" ((a `) "/\" (F "/\" E)) is Element of the carrier of B
the L_join of B . (((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))) is Element of the carrier of B
[((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))] is set
{((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))} is set
{((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `))))} is set
{{((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))},{((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `))))}} is set
the L_join of B . [((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" ((F `) "/\" (E `)))),((a `) "/\" (F "/\" E))] is set
(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" (((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E))) is Element of the carrier of B
the L_join of B . ((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),(((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))) is Element of the carrier of B
[(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),(((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))] is set
{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),(((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))} is set
{{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),(((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))},{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))}} is set
the L_join of B . [(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),(((a `) "/\" ((F `) "/\" (E `))) "\/" ((a `) "/\" (F "/\" E)))] is set
a "\/" (a `) is Element of the carrier of B
the L_join of B . (a,(a `)) is Element of the carrier of B
the L_join of B . [a,(a `)] is set
(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) "\/" ((a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))) is Element of the carrier of B
the L_join of B . ((a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))) is Element of the carrier of B
[(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))] is set
{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))} is set
{{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))},{(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))}} is set
the L_join of B . [(a "/\" (((F `) "/\" (E `)) "\/" (F "/\" E))),((a `) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)))] is set
(a "\/" (a `)) "/\" (((F `) "/\" (E `)) "\/" (F "/\" E)) is Element of the carrier of B
the L_meet of B . ((a "\/" (a `)),(((F `) "/\" (E `)) "\/" (F "/\" E))) is Element of the carrier of B
[(a "\/" (a `)),(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
{(a "\/" (a `)),(((F `) "/\" (E `)) "\/" (F "/\" E))} is set
{(a "\/" (a `))} is set
{{(a "\/" (a `)),(((F `) "/\" (E `)) "\/" (F "/\" E))},{(a "\/" (a `))}} is set
the L_meet of B . [(a "\/" (a `)),(((F `) "/\" (E `)) "\/" (F "/\" E))] is set
F <=> E is Element of the carrier of B
F => E is Element of the carrier of B
E => F is Element of the carrier of B
(F => E) "/\" (E => F) is Element of the carrier of B
the L_meet of B . ((F => E),(E => F)) is Element of the carrier of B
[(F => E),(E => F)] is set
{(F => E),(E => F)} is set
{(F => E)} is set
{{(F => E),(E => F)},{(F => E)}} is set
the L_meet of B . [(F => E),(E => F)] is set
(a <=> F) => (a <=> F) is Element of the carrier of B
((a <=> F) => (a <=> F)) "/\" ((a <=> F) => (a <=> F)) is Element of the carrier of B
the L_meet of B . (((a <=> F) => (a <=> F)),((a <=> F) => (a <=> F))) is Element of the carrier of B
[((a <=> F) => (a <=> F)),((a <=> F) => (a <=> F))] is set
{((a <=> F) => (a <=> F)),((a <=> F) => (a <=> F))} is set
{((a <=> F) => (a <=> F))} is set
{{((a <=> F) => (a <=> F)),((a <=> F) => (a <=> F))},{((a <=> F) => (a <=> F))}} is set
the L_meet of B . [((a <=> F) => (a <=> F)),((a <=> F) => (a <=> F))] is set
F "/\" (Top B) is Element of the carrier of B
the L_meet of B . (F,(Top B)) is Element of the carrier of B
[F,(Top B)] is set
{F,(Top B)} is set
{{F,(Top B)},{F}} is set
the L_meet of B . [F,(Top B)] is set
F "/\" (F => E) is Element of the carrier of B
the L_meet of B . (F,(F => E)) is Element of the carrier of B
[F,(F => E)] is set
{F,(F => E)} is set
{{F,(F => E)},{F}} is set
the L_meet of B . [F,(F => E)] is set
E "/\" (Top B) is Element of the carrier of B
the L_meet of B . (E,(Top B)) is Element of the carrier of B
[E,(Top B)] is set
{E,(Top B)} is set
{E} is set
{{E,(Top B)},{E}} is set
the L_meet of B . [E,(Top B)] is set
E "/\" (E => F) is Element of the carrier of B
the L_meet of B . (E,(E => F)) is Element of the carrier of B
[E,(E => F)] is set
{E,(E => F)} is set
{{E,(E => F)},{E}} is set
the L_meet of B . [E,(E => F)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a <=> F is Element of the carrier of B
a => F is Element of the carrier of B
F => a is Element of the carrier of B
(a => F) "/\" (F => a) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((a => F),(F => a)) is Element of the carrier of B
[(a => F),(F => a)] is set
{(a => F),(F => a)} is set
{(a => F)} is set
{{(a => F),(F => a)},{(a => F)}} is set
the L_meet of B . [(a => F),(F => a)] is set
a <=> (a <=> F) is Element of the carrier of B
a => (a <=> F) is Element of the carrier of B
(a <=> F) => a is Element of the carrier of B
(a => (a <=> F)) "/\" ((a <=> F) => a) is Element of the carrier of B
the L_meet of B . ((a => (a <=> F)),((a <=> F) => a)) is Element of the carrier of B
[(a => (a <=> F)),((a <=> F) => a)] is set
{(a => (a <=> F)),((a <=> F) => a)} is set
{(a => (a <=> F))} is set
{{(a => (a <=> F)),((a <=> F) => a)},{(a => (a <=> F))}} is set
the L_meet of B . [(a => (a <=> F)),((a <=> F) => a)] is set
a "/\" F is Element of the carrier of B
the L_meet of B . (a,F) is Element of the carrier of B
[a,F] is set
{a,F} is set
{a} is set
{{a,F},{a}} is set
the L_meet of B . [a,F] is set
a ` is Element of the carrier of B
F ` is Element of the carrier of B
(a `) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((a `),(F `)) is Element of the carrier of B
[(a `),(F `)] is set
{(a `),(F `)} is set
{(a `)} is set
{{(a `),(F `)},{(a `)}} is set
the L_meet of B . [(a `),(F `)] is set
(a "/\" F) "\/" ((a `) "/\" (F `)) is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . ((a "/\" F),((a `) "/\" (F `))) is Element of the carrier of B
[(a "/\" F),((a `) "/\" (F `))] is set
{(a "/\" F),((a `) "/\" (F `))} is set
{(a "/\" F)} is set
{{(a "/\" F),((a `) "/\" (F `))},{(a "/\" F)}} is set
the L_join of B . [(a "/\" F),((a `) "/\" (F `))] is set
a "/\" ((a "/\" F) "\/" ((a `) "/\" (F `))) is Element of the carrier of B
the L_meet of B . (a,((a "/\" F) "\/" ((a `) "/\" (F `)))) is Element of the carrier of B
[a,((a "/\" F) "\/" ((a `) "/\" (F `)))] is set
{a,((a "/\" F) "\/" ((a `) "/\" (F `)))} is set
{{a,((a "/\" F) "\/" ((a `) "/\" (F `)))},{a}} is set
the L_meet of B . [a,((a "/\" F) "\/" ((a `) "/\" (F `)))] is set
a "/\" (a "/\" F) is Element of the carrier of B
the L_meet of B . (a,(a "/\" F)) is Element of the carrier of B
[a,(a "/\" F)] is set
{a,(a "/\" F)} is set
{{a,(a "/\" F)},{a}} is set
the L_meet of B . [a,(a "/\" F)] is set
a "/\" ((a `) "/\" (F `)) is Element of the carrier of B
the L_meet of B . (a,((a `) "/\" (F `))) is Element of the carrier of B
[a,((a `) "/\" (F `))] is set
{a,((a `) "/\" (F `))} is set
{{a,((a `) "/\" (F `))},{a}} is set
the L_meet of B . [a,((a `) "/\" (F `))] is set
(a "/\" (a "/\" F)) "\/" (a "/\" ((a `) "/\" (F `))) is Element of the carrier of B
the L_join of B . ((a "/\" (a "/\" F)),(a "/\" ((a `) "/\" (F `)))) is Element of the carrier of B
[(a "/\" (a "/\" F)),(a "/\" ((a `) "/\" (F `)))] is set
{(a "/\" (a "/\" F)),(a "/\" ((a `) "/\" (F `)))} is set
{(a "/\" (a "/\" F))} is set
{{(a "/\" (a "/\" F)),(a "/\" ((a `) "/\" (F `)))},{(a "/\" (a "/\" F))}} is set
the L_join of B . [(a "/\" (a "/\" F)),(a "/\" ((a `) "/\" (F `)))] is set
a "/\" (F `) is Element of the carrier of B
the L_meet of B . (a,(F `)) is Element of the carrier of B
[a,(F `)] is set
{a,(F `)} is set
{{a,(F `)},{a}} is set
the L_meet of B . [a,(F `)] is set
(a `) "/\" F is Element of the carrier of B
the L_meet of B . ((a `),F) is Element of the carrier of B
[(a `),F] is set
{(a `),F} is set
{{(a `),F},{(a `)}} is set
the L_meet of B . [(a `),F] is set
(a "/\" (F `)) "\/" ((a `) "/\" F) is Element of the carrier of B
the L_join of B . ((a "/\" (F `)),((a `) "/\" F)) is Element of the carrier of B
[(a "/\" (F `)),((a `) "/\" F)] is set
{(a "/\" (F `)),((a `) "/\" F)} is set
{(a "/\" (F `))} is set
{{(a "/\" (F `)),((a `) "/\" F)},{(a "/\" (F `))}} is set
the L_join of B . [(a "/\" (F `)),((a `) "/\" F)] is set
(a `) "/\" ((a "/\" (F `)) "\/" ((a `) "/\" F)) is Element of the carrier of B
the L_meet of B . ((a `),((a "/\" (F `)) "\/" ((a `) "/\" F))) is Element of the carrier of B
[(a `),((a "/\" (F `)) "\/" ((a `) "/\" F))] is set
{(a `),((a "/\" (F `)) "\/" ((a `) "/\" F))} is set
{{(a `),((a "/\" (F `)) "\/" ((a `) "/\" F))},{(a `)}} is set
the L_meet of B . [(a `),((a "/\" (F `)) "\/" ((a `) "/\" F))] is set
(a `) "/\" (a "/\" (F `)) is Element of the carrier of B
the L_meet of B . ((a `),(a "/\" (F `))) is Element of the carrier of B
[(a `),(a "/\" (F `))] is set
{(a `),(a "/\" (F `))} is set
{{(a `),(a "/\" (F `))},{(a `)}} is set
the L_meet of B . [(a `),(a "/\" (F `))] is set
(a `) "/\" ((a `) "/\" F) is Element of the carrier of B
the L_meet of B . ((a `),((a `) "/\" F)) is Element of the carrier of B
[(a `),((a `) "/\" F)] is set
{(a `),((a `) "/\" F)} is set
{{(a `),((a `) "/\" F)},{(a `)}} is set
the L_meet of B . [(a `),((a `) "/\" F)] is set
((a `) "/\" (a "/\" (F `))) "\/" ((a `) "/\" ((a `) "/\" F)) is Element of the carrier of B
the L_join of B . (((a `) "/\" (a "/\" (F `))),((a `) "/\" ((a `) "/\" F))) is Element of the carrier of B
[((a `) "/\" (a "/\" (F `))),((a `) "/\" ((a `) "/\" F))] is set
{((a `) "/\" (a "/\" (F `))),((a `) "/\" ((a `) "/\" F))} is set
{((a `) "/\" (a "/\" (F `)))} is set
{{((a `) "/\" (a "/\" (F `))),((a `) "/\" ((a `) "/\" F))},{((a `) "/\" (a "/\" (F `)))}} is set
the L_join of B . [((a `) "/\" (a "/\" (F `))),((a `) "/\" ((a `) "/\" F))] is set
Bottom B is Element of the carrier of B
(Bottom B) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((Bottom B),(F `)) is Element of the carrier of B
[(Bottom B),(F `)] is set
{(Bottom B),(F `)} is set
{(Bottom B)} is set
{{(Bottom B),(F `)},{(Bottom B)}} is set
the L_meet of B . [(Bottom B),(F `)] is set
a "\/" (a `) is Element of the carrier of B
the L_join of B . (a,(a `)) is Element of the carrier of B
[a,(a `)] is set
{a,(a `)} is set
{{a,(a `)},{a}} is set
the L_join of B . [a,(a `)] is set
Top B is Element of the carrier of B
(a "/\" F) "\/" ((a `) "/\" F) is Element of the carrier of B
the L_join of B . ((a "/\" F),((a `) "/\" F)) is Element of the carrier of B
[(a "/\" F),((a `) "/\" F)] is set
{(a "/\" F),((a `) "/\" F)} is set
{{(a "/\" F),((a `) "/\" F)},{(a "/\" F)}} is set
the L_join of B . [(a "/\" F),((a `) "/\" F)] is set
(a "\/" (a `)) "/\" F is Element of the carrier of B
the L_meet of B . ((a "\/" (a `)),F) is Element of the carrier of B
[(a "\/" (a `)),F] is set
{(a "\/" (a `)),F} is set
{(a "\/" (a `))} is set
{{(a "\/" (a `)),F},{(a "\/" (a `))}} is set
the L_meet of B . [(a "\/" (a `)),F] is set
(Bottom B) "\/" ((a `) "/\" F) is Element of the carrier of B
the L_join of B . ((Bottom B),((a `) "/\" F)) is Element of the carrier of B
[(Bottom B),((a `) "/\" F)] is set
{(Bottom B),((a `) "/\" F)} is set
{{(Bottom B),((a `) "/\" F)},{(Bottom B)}} is set
the L_join of B . [(Bottom B),((a `) "/\" F)] is set
(a <=> F) ` is Element of the carrier of B
(a `) "/\" a is Element of the carrier of B
the L_meet of B . ((a `),a) is Element of the carrier of B
[(a `),a] is set
{(a `),a} is set
{{(a `),a},{(a `)}} is set
the L_meet of B . [(a `),a] is set
((a `) "/\" a) "/\" (F `) is Element of the carrier of B
the L_meet of B . (((a `) "/\" a),(F `)) is Element of the carrier of B
[((a `) "/\" a),(F `)] is set
{((a `) "/\" a),(F `)} is set
{((a `) "/\" a)} is set
{{((a `) "/\" a),(F `)},{((a `) "/\" a)}} is set
the L_meet of B . [((a `) "/\" a),(F `)] is set
(a "/\" F) "\/" (Bottom B) is Element of the carrier of B
the L_join of B . ((a "/\" F),(Bottom B)) is Element of the carrier of B
[(a "/\" F),(Bottom B)] is set
{(a "/\" F),(Bottom B)} is set
{{(a "/\" F),(Bottom B)},{(a "/\" F)}} is set
the L_join of B . [(a "/\" F),(Bottom B)] is set
a "/\" (a `) is Element of the carrier of B
the L_meet of B . (a,(a `)) is Element of the carrier of B
the L_meet of B . [a,(a `)] is set
a "/\" a is Element of the carrier of B
the L_meet of B . (a,a) is Element of the carrier of B
[a,a] is set
{a,a} is set
{{a,a},{a}} is set
the L_meet of B . [a,a] is set
(a "/\" a) "/\" F is Element of the carrier of B
the L_meet of B . ((a "/\" a),F) is Element of the carrier of B
[(a "/\" a),F] is set
{(a "/\" a),F} is set
{(a "/\" a)} is set
{{(a "/\" a),F},{(a "/\" a)}} is set
the L_meet of B . [(a "/\" a),F] is set
(a "/\" (a `)) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((a "/\" (a `)),(F `)) is Element of the carrier of B
[(a "/\" (a `)),(F `)] is set
{(a "/\" (a `)),(F `)} is set
{(a "/\" (a `))} is set
{{(a "/\" (a `)),(F `)},{(a "/\" (a `))}} is set
the L_meet of B . [(a "/\" (a `)),(F `)] is set
(a `) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((a `),(a `)) is Element of the carrier of B
[(a `),(a `)] is set
{(a `),(a `)} is set
{{(a `),(a `)},{(a `)}} is set
the L_meet of B . [(a `),(a `)] is set
((a `) "/\" (a `)) "/\" F is Element of the carrier of B
the L_meet of B . (((a `) "/\" (a `)),F) is Element of the carrier of B
[((a `) "/\" (a `)),F] is set
{((a `) "/\" (a `)),F} is set
{((a `) "/\" (a `))} is set
{{((a `) "/\" (a `)),F},{((a `) "/\" (a `))}} is set
the L_meet of B . [((a `) "/\" (a `)),F] is set
a "/\" (a <=> F) is Element of the carrier of B
the L_meet of B . (a,(a <=> F)) is Element of the carrier of B
[a,(a <=> F)] is set
{a,(a <=> F)} is set
{{a,(a <=> F)},{a}} is set
the L_meet of B . [a,(a <=> F)] is set
(a `) "/\" ((a <=> F) `) is Element of the carrier of B
the L_meet of B . ((a `),((a <=> F) `)) is Element of the carrier of B
[(a `),((a <=> F) `)] is set
{(a `),((a <=> F) `)} is set
{{(a `),((a <=> F) `)},{(a `)}} is set
the L_meet of B . [(a `),((a <=> F) `)] is set
(a "/\" (a <=> F)) "\/" ((a `) "/\" ((a <=> F) `)) is Element of the carrier of B
the L_join of B . ((a "/\" (a <=> F)),((a `) "/\" ((a <=> F) `))) is Element of the carrier of B
[(a "/\" (a <=> F)),((a `) "/\" ((a <=> F) `))] is set
{(a "/\" (a <=> F)),((a `) "/\" ((a <=> F) `))} is set
{(a "/\" (a <=> F))} is set
{{(a "/\" (a <=> F)),((a `) "/\" ((a <=> F) `))},{(a "/\" (a <=> F))}} is set
the L_join of B . [(a "/\" (a <=> F)),((a `) "/\" ((a <=> F) `))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a "\/" F is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (a,F) is Element of the carrier of B
[a,F] is set
{a,F} is set
{a} is set
{{a,F},{a}} is set
the L_join of B . [a,F] is set
(a "\/" F) => a is Element of the carrier of B
F => a is Element of the carrier of B
a "/\" F is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (a,F) is Element of the carrier of B
the L_meet of B . [a,F] is set
a => (a "/\" F) is Element of the carrier of B
a => F is Element of the carrier of B
a "\/" a is Element of the carrier of B
the L_join of B . (a,a) is Element of the carrier of B
[a,a] is set
{a,a} is set
{{a,a},{a}} is set
the L_join of B . [a,a] is set
F "/\" (F => a) is Element of the carrier of B
the L_meet of B . (F,(F => a)) is Element of the carrier of B
[F,(F => a)] is set
{F,(F => a)} is set
{F} is set
{{F,(F => a)},{F}} is set
the L_meet of B . [F,(F => a)] is set
a "\/" (F "/\" (F => a)) is Element of the carrier of B
the L_join of B . (a,(F "/\" (F => a))) is Element of the carrier of B
[a,(F "/\" (F => a))] is set
{a,(F "/\" (F => a))} is set
{{a,(F "/\" (F => a))},{a}} is set
the L_join of B . [a,(F "/\" (F => a))] is set
(a "\/" F) "/\" (F => a) is Element of the carrier of B
the L_meet of B . ((a "\/" F),(F => a)) is Element of the carrier of B
[(a "\/" F),(F => a)] is set
{(a "\/" F),(F => a)} is set
{(a "\/" F)} is set
{{(a "\/" F),(F => a)},{(a "\/" F)}} is set
the L_meet of B . [(a "\/" F),(F => a)] is set
a "\/" (F => a) is Element of the carrier of B
the L_join of B . (a,(F => a)) is Element of the carrier of B
[a,(F => a)] is set
{a,(F => a)} is set
{{a,(F => a)},{a}} is set
the L_join of B . [a,(F => a)] is set
(a "\/" F) "/\" (a "\/" (F => a)) is Element of the carrier of B
the L_meet of B . ((a "\/" F),(a "\/" (F => a))) is Element of the carrier of B
[(a "\/" F),(a "\/" (F => a))] is set
{(a "\/" F),(a "\/" (F => a))} is set
{{(a "\/" F),(a "\/" (F => a))},{(a "\/" F)}} is set
the L_meet of B . [(a "\/" F),(a "\/" (F => a))] is set
F "/\" ((a "\/" F) => a) is Element of the carrier of B
the L_meet of B . (F,((a "\/" F) => a)) is Element of the carrier of B
[F,((a "\/" F) => a)] is set
{F,((a "\/" F) => a)} is set
{{F,((a "\/" F) => a)},{F}} is set
the L_meet of B . [F,((a "\/" F) => a)] is set
(a "\/" F) "/\" ((a "\/" F) => a) is Element of the carrier of B
the L_meet of B . ((a "\/" F),((a "\/" F) => a)) is Element of the carrier of B
[(a "\/" F),((a "\/" F) => a)] is set
{(a "\/" F),((a "\/" F) => a)} is set
{{(a "\/" F),((a "\/" F) => a)},{(a "\/" F)}} is set
the L_meet of B . [(a "\/" F),((a "\/" F) => a)] is set
F "/\" a is Element of the carrier of B
the L_meet of B . (F,a) is Element of the carrier of B
[F,a] is set
{F,a} is set
{{F,a},{F}} is set
the L_meet of B . [F,a] is set
a "/\" (a => (a "/\" F)) is Element of the carrier of B
the L_meet of B . (a,(a => (a "/\" F))) is Element of the carrier of B
[a,(a => (a "/\" F))] is set
{a,(a => (a "/\" F))} is set
{{a,(a => (a "/\" F))},{a}} is set
the L_meet of B . [a,(a => (a "/\" F))] is set
a "/\" (a => F) is Element of the carrier of B
the L_meet of B . (a,(a => F)) is Element of the carrier of B
[a,(a => F)] is set
{a,(a => F)} is set
{{a,(a => F)},{a}} is set
the L_meet of B . [a,(a => F)] is set
a "/\" (a "/\" (a => F)) is Element of the carrier of B
the L_meet of B . (a,(a "/\" (a => F))) is Element of the carrier of B
[a,(a "/\" (a => F))] is set
{a,(a "/\" (a => F))} is set
{{a,(a "/\" (a => F))},{a}} is set
the L_meet of B . [a,(a "/\" (a => F))] is set
a "/\" a is Element of the carrier of B
the L_meet of B . (a,a) is Element of the carrier of B
the L_meet of B . [a,a] is set
(a "/\" a) "/\" (a => F) is Element of the carrier of B
the L_meet of B . ((a "/\" a),(a => F)) is Element of the carrier of B
[(a "/\" a),(a => F)] is set
{(a "/\" a),(a => F)} is set
{(a "/\" a)} is set
{{(a "/\" a),(a => F)},{(a "/\" a)}} is set
the L_meet of B . [(a "/\" a),(a => F)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a => F is Element of the carrier of B
E is Element of the carrier of B
F "\/" E is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
the L_join of B . [F,E] is set
a => (F "\/" E) is Element of the carrier of B
a "/\" E is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (a,E) is Element of the carrier of B
[a,E] is set
{a,E} is set
{a} is set
{{a,E},{a}} is set
the L_meet of B . [a,E] is set
(a "/\" E) => F is Element of the carrier of B
E "\/" F is Element of the carrier of B
the L_join of B . (E,F) is Element of the carrier of B
[E,F] is set
{E,F} is set
{E} is set
{{E,F},{E}} is set
the L_join of B . [E,F] is set
a => (E "\/" F) is Element of the carrier of B
E "/\" a is Element of the carrier of B
the L_meet of B . (E,a) is Element of the carrier of B
[E,a] is set
{E,a} is set
{{E,a},{E}} is set
the L_meet of B . [E,a] is set
(E "/\" a) => F is Element of the carrier of B
a "/\" (a => F) is Element of the carrier of B
the L_meet of B . (a,(a => F)) is Element of the carrier of B
[a,(a => F)] is set
{a,(a => F)} is set
{{a,(a => F)},{a}} is set
the L_meet of B . [a,(a => F)] is set
(a "/\" E) "/\" (a => F) is Element of the carrier of B
the L_meet of B . ((a "/\" E),(a => F)) is Element of the carrier of B
[(a "/\" E),(a => F)] is set
{(a "/\" E),(a => F)} is set
{(a "/\" E)} is set
{{(a "/\" E),(a => F)},{(a "/\" E)}} is set
the L_meet of B . [(a "/\" E),(a => F)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
F is Element of the carrier of B
E is Element of the carrier of B
F => E is Element of the carrier of B
g is Element of the carrier of B
E "\/" g is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (E,g) is Element of the carrier of B
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
the L_join of B . [E,g] is set
F => (E "\/" g) is Element of the carrier of B
g "\/" E is Element of the carrier of B
the L_join of B . (g,E) is Element of the carrier of B
[g,E] is set
{g,E} is set
{g} is set
{{g,E},{g}} is set
the L_join of B . [g,E] is set
F => (g "\/" E) is Element of the carrier of B
F "/\" g is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (F,g) is Element of the carrier of B
[F,g] is set
{F,g} is set
{F} is set
{{F,g},{F}} is set
the L_meet of B . [F,g] is set
(F "/\" g) => E is Element of the carrier of B
g "/\" F is Element of the carrier of B
the L_meet of B . (g,F) is Element of the carrier of B
[g,F] is set
{g,F} is set
{{g,F},{g}} is set
the L_meet of B . [g,F] is set
(g "/\" F) => E is Element of the carrier of B
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a => F is Element of the carrier of B
E is Element of the carrier of B
E => F is Element of the carrier of B
(a => F) "/\" (E => F) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((a => F),(E => F)) is Element of the carrier of B
[(a => F),(E => F)] is set
{(a => F),(E => F)} is set
{(a => F)} is set
{{(a => F),(E => F)},{(a => F)}} is set
the L_meet of B . [(a => F),(E => F)] is set
a "\/" E is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . (a,E) is Element of the carrier of B
[a,E] is set
{a,E} is set
{a} is set
{{a,E},{a}} is set
the L_join of B . [a,E] is set
(a "\/" E) => F is Element of the carrier of B
a "/\" ((a => F) "/\" (E => F)) is Element of the carrier of B
the L_meet of B . (a,((a => F) "/\" (E => F))) is Element of the carrier of B
[a,((a => F) "/\" (E => F))] is set
{a,((a => F) "/\" (E => F))} is set
{{a,((a => F) "/\" (E => F))},{a}} is set
the L_meet of B . [a,((a => F) "/\" (E => F))] is set
E "/\" ((a => F) "/\" (E => F)) is Element of the carrier of B
the L_meet of B . (E,((a => F) "/\" (E => F))) is Element of the carrier of B
[E,((a => F) "/\" (E => F))] is set
{E,((a => F) "/\" (E => F))} is set
{E} is set
{{E,((a => F) "/\" (E => F))},{E}} is set
the L_meet of B . [E,((a => F) "/\" (E => F))] is set
(a "/\" ((a => F) "/\" (E => F))) "\/" (E "/\" ((a => F) "/\" (E => F))) is Element of the carrier of B
the L_join of B . ((a "/\" ((a => F) "/\" (E => F))),(E "/\" ((a => F) "/\" (E => F)))) is Element of the carrier of B
[(a "/\" ((a => F) "/\" (E => F))),(E "/\" ((a => F) "/\" (E => F)))] is set
{(a "/\" ((a => F) "/\" (E => F))),(E "/\" ((a => F) "/\" (E => F)))} is set
{(a "/\" ((a => F) "/\" (E => F)))} is set
{{(a "/\" ((a => F) "/\" (E => F))),(E "/\" ((a => F) "/\" (E => F)))},{(a "/\" ((a => F) "/\" (E => F)))}} is set
the L_join of B . [(a "/\" ((a => F) "/\" (E => F))),(E "/\" ((a => F) "/\" (E => F)))] is set
(a "\/" E) "/\" ((a => F) "/\" (E => F)) is Element of the carrier of B
the L_meet of B . ((a "\/" E),((a => F) "/\" (E => F))) is Element of the carrier of B
[(a "\/" E),((a => F) "/\" (E => F))] is set
{(a "\/" E),((a => F) "/\" (E => F))} is set
{(a "\/" E)} is set
{{(a "\/" E),((a => F) "/\" (E => F))},{(a "\/" E)}} is set
the L_meet of B . [(a "\/" E),((a => F) "/\" (E => F))] is set
(E => F) "/\" (a => F) is Element of the carrier of B
the L_meet of B . ((E => F),(a => F)) is Element of the carrier of B
[(E => F),(a => F)] is set
{(E => F),(a => F)} is set
{(E => F)} is set
{{(E => F),(a => F)},{(E => F)}} is set
the L_meet of B . [(E => F),(a => F)] is set
E "/\" ((E => F) "/\" (a => F)) is Element of the carrier of B
the L_meet of B . (E,((E => F) "/\" (a => F))) is Element of the carrier of B
[E,((E => F) "/\" (a => F))] is set
{E,((E => F) "/\" (a => F))} is set
{{E,((E => F) "/\" (a => F))},{E}} is set
the L_meet of B . [E,((E => F) "/\" (a => F))] is set
E "/\" (E => F) is Element of the carrier of B
the L_meet of B . (E,(E => F)) is Element of the carrier of B
[E,(E => F)] is set
{E,(E => F)} is set
{{E,(E => F)},{E}} is set
the L_meet of B . [E,(E => F)] is set
(E "/\" (E => F)) "/\" (a => F) is Element of the carrier of B
the L_meet of B . ((E "/\" (E => F)),(a => F)) is Element of the carrier of B
[(E "/\" (E => F)),(a => F)] is set
{(E "/\" (E => F)),(a => F)} is set
{(E "/\" (E => F))} is set
{{(E "/\" (E => F)),(a => F)},{(E "/\" (E => F))}} is set
the L_meet of B . [(E "/\" (E => F)),(a => F)] is set
a "/\" (a => F) is Element of the carrier of B
the L_meet of B . (a,(a => F)) is Element of the carrier of B
[a,(a => F)] is set
{a,(a => F)} is set
{{a,(a => F)},{a}} is set
the L_meet of B . [a,(a => F)] is set
(a "/\" (a => F)) "/\" (E => F) is Element of the carrier of B
the L_meet of B . ((a "/\" (a => F)),(E => F)) is Element of the carrier of B
[(a "/\" (a => F)),(E => F)] is set
{(a "/\" (a => F)),(E => F)} is set
{(a "/\" (a => F))} is set
{{(a "/\" (a => F)),(E => F)},{(a "/\" (a => F))}} is set
the L_meet of B . [(a "/\" (a => F)),(E => F)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
F is Element of the carrier of B
E is Element of the carrier of B
F => E is Element of the carrier of B
g is Element of the carrier of B
g => E is Element of the carrier of B
F "\/" g is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (F,g) is Element of the carrier of B
[F,g] is set
{F,g} is set
{F} is set
{{F,g},{F}} is set
the L_join of B . [F,g] is set
(F "\/" g) => E is Element of the carrier of B
(F => E) "/\" (g => E) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . ((F => E),(g => E)) is Element of the carrier of B
[(F => E),(g => E)] is set
{(F => E),(g => E)} is set
{(F => E)} is set
{{(F => E),(g => E)},{(F => E)}} is set
the L_meet of B . [(F => E),(g => E)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a => F is Element of the carrier of B
E is Element of the carrier of B
a => E is Element of the carrier of B
(a => F) "/\" (a => E) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((a => F),(a => E)) is Element of the carrier of B
[(a => F),(a => E)] is set
{(a => F),(a => E)} is set
{(a => F)} is set
{{(a => F),(a => E)},{(a => F)}} is set
the L_meet of B . [(a => F),(a => E)] is set
F "/\" E is Element of the carrier of B
the L_meet of B . (F,E) is Element of the carrier of B
[F,E] is set
{F,E} is set
{F} is set
{{F,E},{F}} is set
the L_meet of B . [F,E] is set
a => (F "/\" E) is Element of the carrier of B
a "/\" (a => F) is Element of the carrier of B
the L_meet of B . (a,(a => F)) is Element of the carrier of B
[a,(a => F)] is set
{a,(a => F)} is set
{a} is set
{{a,(a => F)},{a}} is set
the L_meet of B . [a,(a => F)] is set
a "/\" (a => E) is Element of the carrier of B
the L_meet of B . (a,(a => E)) is Element of the carrier of B
[a,(a => E)] is set
{a,(a => E)} is set
{{a,(a => E)},{a}} is set
the L_meet of B . [a,(a => E)] is set
(a "/\" (a => F)) "/\" (a "/\" (a => E)) is Element of the carrier of B
the L_meet of B . ((a "/\" (a => F)),(a "/\" (a => E))) is Element of the carrier of B
[(a "/\" (a => F)),(a "/\" (a => E))] is set
{(a "/\" (a => F)),(a "/\" (a => E))} is set
{(a "/\" (a => F))} is set
{{(a "/\" (a => F)),(a "/\" (a => E))},{(a "/\" (a => F))}} is set
the L_meet of B . [(a "/\" (a => F)),(a "/\" (a => E))] is set
(a "/\" (a => F)) "/\" a is Element of the carrier of B
the L_meet of B . ((a "/\" (a => F)),a) is Element of the carrier of B
[(a "/\" (a => F)),a] is set
{(a "/\" (a => F)),a} is set
{{(a "/\" (a => F)),a},{(a "/\" (a => F))}} is set
the L_meet of B . [(a "/\" (a => F)),a] is set
((a "/\" (a => F)) "/\" a) "/\" (a => E) is Element of the carrier of B
the L_meet of B . (((a "/\" (a => F)) "/\" a),(a => E)) is Element of the carrier of B
[((a "/\" (a => F)) "/\" a),(a => E)] is set
{((a "/\" (a => F)) "/\" a),(a => E)} is set
{((a "/\" (a => F)) "/\" a)} is set
{{((a "/\" (a => F)) "/\" a),(a => E)},{((a "/\" (a => F)) "/\" a)}} is set
the L_meet of B . [((a "/\" (a => F)) "/\" a),(a => E)] is set
a "/\" ((a => F) "/\" (a => E)) is Element of the carrier of B
the L_meet of B . (a,((a => F) "/\" (a => E))) is Element of the carrier of B
[a,((a => F) "/\" (a => E))] is set
{a,((a => F) "/\" (a => E))} is set
{{a,((a => F) "/\" (a => E))},{a}} is set
the L_meet of B . [a,((a => F) "/\" (a => E))] is set
(a "/\" (a => F)) "/\" (a => E) is Element of the carrier of B
the L_meet of B . ((a "/\" (a => F)),(a => E)) is Element of the carrier of B
[(a "/\" (a => F)),(a => E)] is set
{(a "/\" (a => F)),(a => E)} is set
{{(a "/\" (a => F)),(a => E)},{(a "/\" (a => F))}} is set
the L_meet of B . [(a "/\" (a => F)),(a => E)] is set
a "/\" (a "/\" (a => F)) is Element of the carrier of B
the L_meet of B . (a,(a "/\" (a => F))) is Element of the carrier of B
[a,(a "/\" (a => F))] is set
{a,(a "/\" (a => F))} is set
{{a,(a "/\" (a => F))},{a}} is set
the L_meet of B . [a,(a "/\" (a => F))] is set
a "/\" a is Element of the carrier of B
the L_meet of B . (a,a) is Element of the carrier of B
[a,a] is set
{a,a} is set
{{a,a},{a}} is set
the L_meet of B . [a,a] is set
(a "/\" a) "/\" (a => F) is Element of the carrier of B
the L_meet of B . ((a "/\" a),(a => F)) is Element of the carrier of B
[(a "/\" a),(a => F)] is set
{(a "/\" a),(a => F)} is set
{(a "/\" a)} is set
{{(a "/\" a),(a => F)},{(a "/\" a)}} is set
the L_meet of B . [(a "/\" a),(a => F)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
F is Element of the carrier of B
E is Element of the carrier of B
F => E is Element of the carrier of B
g is Element of the carrier of B
F => g is Element of the carrier of B
E "/\" g is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . (E,g) is Element of the carrier of B
[E,g] is set
{E,g} is set
{E} is set
{{E,g},{E}} is set
the L_meet of B . [E,g] is set
F => (E "/\" g) is Element of the carrier of B
(F => E) "/\" (F => g) is Element of the carrier of B
the L_meet of B . ((F => E),(F => g)) is Element of the carrier of B
[(F => E),(F => g)] is set
{(F => E),(F => g)} is set
{(F => E)} is set
{{(F => E),(F => g)},{(F => E)}} is set
the L_meet of B . [(F => E),(F => g)] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
F is Element of the carrier of B
E is Element of the carrier of B
F <=> E is Element of the carrier of B
F => E is Element of the carrier of B
E => F is Element of the carrier of B
(F => E) "/\" (E => F) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((F => E),(E => F)) is Element of the carrier of B
[(F => E),(E => F)] is set
{(F => E),(E => F)} is set
{(F => E)} is set
{{(F => E),(E => F)},{(F => E)}} is set
the L_meet of B . [(F => E),(E => F)] is set
g is Element of the carrier of B
F "\/" g is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . (F,g) is Element of the carrier of B
[F,g] is set
{F,g} is set
{F} is set
{{F,g},{F}} is set
the L_join of B . [F,g] is set
F "/\" g is Element of the carrier of B
the L_meet of B . (F,g) is Element of the carrier of B
the L_meet of B . [F,g] is set
S is Element of the carrier of B
g <=> S is Element of the carrier of B
g => S is Element of the carrier of B
S => g is Element of the carrier of B
(g => S) "/\" (S => g) is Element of the carrier of B
the L_meet of B . ((g => S),(S => g)) is Element of the carrier of B
[(g => S),(S => g)] is set
{(g => S),(S => g)} is set
{(g => S)} is set
{{(g => S),(S => g)},{(g => S)}} is set
the L_meet of B . [(g => S),(S => g)] is set
E "\/" S is Element of the carrier of B
the L_join of B . (E,S) is Element of the carrier of B
[E,S] is set
{E,S} is set
{E} is set
{{E,S},{E}} is set
the L_join of B . [E,S] is set
(F "\/" g) <=> (E "\/" S) is Element of the carrier of B
(F "\/" g) => (E "\/" S) is Element of the carrier of B
(E "\/" S) => (F "\/" g) is Element of the carrier of B
((F "\/" g) => (E "\/" S)) "/\" ((E "\/" S) => (F "\/" g)) is Element of the carrier of B
the L_meet of B . (((F "\/" g) => (E "\/" S)),((E "\/" S) => (F "\/" g))) is Element of the carrier of B
[((F "\/" g) => (E "\/" S)),((E "\/" S) => (F "\/" g))] is set
{((F "\/" g) => (E "\/" S)),((E "\/" S) => (F "\/" g))} is set
{((F "\/" g) => (E "\/" S))} is set
{{((F "\/" g) => (E "\/" S)),((E "\/" S) => (F "\/" g))},{((F "\/" g) => (E "\/" S))}} is set
the L_meet of B . [((F "\/" g) => (E "\/" S)),((E "\/" S) => (F "\/" g))] is set
E "/\" S is Element of the carrier of B
the L_meet of B . (E,S) is Element of the carrier of B
the L_meet of B . [E,S] is set
(F "/\" g) <=> (E "/\" S) is Element of the carrier of B
(F "/\" g) => (E "/\" S) is Element of the carrier of B
(E "/\" S) => (F "/\" g) is Element of the carrier of B
((F "/\" g) => (E "/\" S)) "/\" ((E "/\" S) => (F "/\" g)) is Element of the carrier of B
the L_meet of B . (((F "/\" g) => (E "/\" S)),((E "/\" S) => (F "/\" g))) is Element of the carrier of B
[((F "/\" g) => (E "/\" S)),((E "/\" S) => (F "/\" g))] is set
{((F "/\" g) => (E "/\" S)),((E "/\" S) => (F "/\" g))} is set
{((F "/\" g) => (E "/\" S))} is set
{{((F "/\" g) => (E "/\" S)),((E "/\" S) => (F "/\" g))},{((F "/\" g) => (E "/\" S))}} is set
the L_meet of B . [((F "/\" g) => (E "/\" S)),((E "/\" S) => (F "/\" g))] is set
(F "/\" g) => S is Element of the carrier of B
g => (E "\/" S) is Element of the carrier of B
F => (E "\/" S) is Element of the carrier of B
(E "/\" S) => g is Element of the carrier of B
(E "/\" S) => F is Element of the carrier of B
S => (F "\/" g) is Element of the carrier of B
E => (F "\/" g) is Element of the carrier of B
(F "/\" g) => E is Element of the carrier of B
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
F is Element of the carrier of B
E is Element of the carrier of B
Class ((equivalence_wrt a),E) is Element of bool the carrier of B
F <=> E is Element of the carrier of B
F => E is Element of the carrier of B
E => F is Element of the carrier of B
(F => E) "/\" (E => F) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((F => E),(E => F)) is Element of the carrier of B
[(F => E),(E => F)] is set
{(F => E),(E => F)} is set
{(F => E)} is set
{{(F => E),(E => F)},{(F => E)}} is set
the L_meet of B . [(F => E),(E => F)] is set
(B,B,F,E) is Element of the carrier of (B,B)
(B,B) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
( the carrier of B, the carrier of B, the L_join of B, the L_join of B) is Relation-like [:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] -defined [: the carrier of B, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]) Element of bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:]
[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:] is non empty set
( the carrier of B, the carrier of B, the L_meet of B, the L_meet of B) is Relation-like [:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] -defined [: the carrier of B, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]) Element of bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:]
LattStr(# [: the carrier of B, the carrier of B:],( the carrier of B, the carrier of B, the L_join of B, the L_join of B),( the carrier of B, the carrier of B, the L_meet of B, the L_meet of B) #) is non empty strict LattStr
the carrier of (B,B) is non empty set
{F,E} is set
{F} is set
{{F,E},{F}} is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
the carrier of B is non empty set
bool the carrier of B is non empty set
a is non empty final meet-closed join-closed Element of bool the carrier of B
equivalence_wrt a is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
F is Element of the carrier of B
E is Element of the carrier of B
Class ((equivalence_wrt a),E) is Element of bool the carrier of B
g is Element of the carrier of B
F "\/" g is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_join of B . (F,g) is Element of the carrier of B
[F,g] is set
{F,g} is set
{F} is set
{{F,g},{F}} is set
the L_join of B . [F,g] is set
F "/\" g is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_meet of B . (F,g) is Element of the carrier of B
the L_meet of B . [F,g] is set
F <=> E is Element of the carrier of B
F => E is Element of the carrier of B
E => F is Element of the carrier of B
(F => E) "/\" (E => F) is Element of the carrier of B
the L_meet of B . ((F => E),(E => F)) is Element of the carrier of B
[(F => E),(E => F)] is set
{(F => E),(E => F)} is set
{(F => E)} is set
{{(F => E),(E => F)},{(F => E)}} is set
the L_meet of B . [(F => E),(E => F)] is set
g <=> E is Element of the carrier of B
g => E is Element of the carrier of B
E => g is Element of the carrier of B
(g => E) "/\" (E => g) is Element of the carrier of B
the L_meet of B . ((g => E),(E => g)) is Element of the carrier of B
[(g => E),(E => g)] is set
{(g => E),(E => g)} is set
{(g => E)} is set
{{(g => E),(E => g)},{(g => E)}} is set
the L_meet of B . [(g => E),(E => g)] is set
E "/\" E is Element of the carrier of B
the L_meet of B . (E,E) is Element of the carrier of B
[E,E] is set
{E,E} is set
{E} is set
{{E,E},{E}} is set
the L_meet of B . [E,E] is set
(F "/\" g) <=> E is Element of the carrier of B
(F "/\" g) => E is Element of the carrier of B
E => (F "/\" g) is Element of the carrier of B
((F "/\" g) => E) "/\" (E => (F "/\" g)) is Element of the carrier of B
the L_meet of B . (((F "/\" g) => E),(E => (F "/\" g))) is Element of the carrier of B
[((F "/\" g) => E),(E => (F "/\" g))] is set
{((F "/\" g) => E),(E => (F "/\" g))} is set
{((F "/\" g) => E)} is set
{{((F "/\" g) => E),(E => (F "/\" g))},{((F "/\" g) => E)}} is set
the L_meet of B . [((F "/\" g) => E),(E => (F "/\" g))] is set
E "\/" E is Element of the carrier of B
the L_join of B . (E,E) is Element of the carrier of B
the L_join of B . [E,E] is set
(F "\/" g) <=> E is Element of the carrier of B
(F "\/" g) => E is Element of the carrier of B
E => (F "\/" g) is Element of the carrier of B
((F "\/" g) => E) "/\" (E => (F "\/" g)) is Element of the carrier of B
the L_meet of B . (((F "\/" g) => E),(E => (F "\/" g))) is Element of the carrier of B
[((F "\/" g) => E),(E => (F "\/" g))] is set
{((F "\/" g) => E),(E => (F "\/" g))} is set
{((F "\/" g) => E)} is set
{{((F "\/" g) => E),(E => (F "\/" g))},{((F "\/" g) => E)}} is set
the L_meet of B . [((F "\/" g) => E),(E => (F "\/" g))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
a is Element of the carrier of B
F is Element of the carrier of B
a <=> F is Element of the carrier of B
a => F is Element of the carrier of B
F => a is Element of the carrier of B
(a => F) "/\" (F => a) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((a => F),(F => a)) is Element of the carrier of B
[(a => F),(F => a)] is set
{(a => F),(F => a)} is set
{(a => F)} is set
{{(a => F),(F => a)},{(a => F)}} is set
the L_meet of B . [(a => F),(F => a)] is set
a "\/" (a <=> F) is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . (a,(a <=> F)) is Element of the carrier of B
[a,(a <=> F)] is set
{a,(a <=> F)} is set
{a} is set
{{a,(a <=> F)},{a}} is set
the L_join of B . [a,(a <=> F)] is set
<.F.) is non empty final meet-closed join-closed Element of bool the carrier of B
bool the carrier of B is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of the carrier of B : F [= b<sub>1</sub> } is set
equivalence_wrt <.F.) is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
bool [: the carrier of B, the carrier of B:] is non empty set
Class ((equivalence_wrt <.F.)),a) is Element of bool the carrier of B
(a <=> F) <=> a is Element of the carrier of B
(a <=> F) => a is Element of the carrier of B
a => (a <=> F) is Element of the carrier of B
((a <=> F) => a) "/\" (a => (a <=> F)) is Element of the carrier of B
the L_meet of B . (((a <=> F) => a),(a => (a <=> F))) is Element of the carrier of B
[((a <=> F) => a),(a => (a <=> F))] is set
{((a <=> F) => a),(a => (a <=> F))} is set
{((a <=> F) => a)} is set
{{((a <=> F) => a),(a => (a <=> F))},{((a <=> F) => a)}} is set
the L_meet of B . [((a <=> F) => a),(a => (a <=> F))] is set
a <=> (a <=> F) is Element of the carrier of B
(a => (a <=> F)) "/\" ((a <=> F) => a) is Element of the carrier of B
the L_meet of B . ((a => (a <=> F)),((a <=> F) => a)) is Element of the carrier of B
[(a => (a <=> F)),((a <=> F) => a)] is set
{(a => (a <=> F)),((a <=> F) => a)} is set
{(a => (a <=> F))} is set
{{(a => (a <=> F)),((a <=> F) => a)},{(a => (a <=> F))}} is set
the L_meet of B . [(a => (a <=> F)),((a <=> F) => a)] is set
g is Element of the carrier of B
g <=> a is Element of the carrier of B
g => a is Element of the carrier of B
a => g is Element of the carrier of B
(g => a) "/\" (a => g) is Element of the carrier of B
the L_meet of B . ((g => a),(a => g)) is Element of the carrier of B
[(g => a),(a => g)] is set
{(g => a),(a => g)} is set
{(g => a)} is set
{{(g => a),(a => g)},{(g => a)}} is set
the L_meet of B . [(g => a),(a => g)] is set
(g <=> a) ` is Element of the carrier of B
a ` is Element of the carrier of B
g "/\" (a `) is Element of the carrier of B
the L_meet of B . (g,(a `)) is Element of the carrier of B
[g,(a `)] is set
{g,(a `)} is set
{g} is set
{{g,(a `)},{g}} is set
the L_meet of B . [g,(a `)] is set
g ` is Element of the carrier of B
(g `) "/\" a is Element of the carrier of B
the L_meet of B . ((g `),a) is Element of the carrier of B
[(g `),a] is set
{(g `),a} is set
{(g `)} is set
{{(g `),a},{(g `)}} is set
the L_meet of B . [(g `),a] is set
(g "/\" (a `)) "\/" ((g `) "/\" a) is Element of the carrier of B
the L_join of B . ((g "/\" (a `)),((g `) "/\" a)) is Element of the carrier of B
[(g "/\" (a `)),((g `) "/\" a)] is set
{(g "/\" (a `)),((g `) "/\" a)} is set
{(g "/\" (a `))} is set
{{(g "/\" (a `)),((g `) "/\" a)},{(g "/\" (a `))}} is set
the L_join of B . [(g "/\" (a `)),((g `) "/\" a)] is set
F ` is Element of the carrier of B
((g "/\" (a `)) "\/" ((g `) "/\" a)) "/\" (a `) is Element of the carrier of B
the L_meet of B . (((g "/\" (a `)) "\/" ((g `) "/\" a)),(a `)) is Element of the carrier of B
[((g "/\" (a `)) "\/" ((g `) "/\" a)),(a `)] is set
{((g "/\" (a `)) "\/" ((g `) "/\" a)),(a `)} is set
{((g "/\" (a `)) "\/" ((g `) "/\" a))} is set
{{((g "/\" (a `)) "\/" ((g `) "/\" a)),(a `)},{((g "/\" (a `)) "\/" ((g `) "/\" a))}} is set
the L_meet of B . [((g "/\" (a `)) "\/" ((g `) "/\" a)),(a `)] is set
(F `) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((F `),(a `)) is Element of the carrier of B
[(F `),(a `)] is set
{(F `),(a `)} is set
{(F `)} is set
{{(F `),(a `)},{(F `)}} is set
the L_meet of B . [(F `),(a `)] is set
(g "/\" (a `)) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((g "/\" (a `)),(a `)) is Element of the carrier of B
[(g "/\" (a `)),(a `)] is set
{(g "/\" (a `)),(a `)} is set
{{(g "/\" (a `)),(a `)},{(g "/\" (a `))}} is set
the L_meet of B . [(g "/\" (a `)),(a `)] is set
((g `) "/\" a) "/\" (a `) is Element of the carrier of B
the L_meet of B . (((g `) "/\" a),(a `)) is Element of the carrier of B
[((g `) "/\" a),(a `)] is set
{((g `) "/\" a),(a `)} is set
{((g `) "/\" a)} is set
{{((g `) "/\" a),(a `)},{((g `) "/\" a)}} is set
the L_meet of B . [((g `) "/\" a),(a `)] is set
((g "/\" (a `)) "/\" (a `)) "\/" (((g `) "/\" a) "/\" (a `)) is Element of the carrier of B
the L_join of B . (((g "/\" (a `)) "/\" (a `)),(((g `) "/\" a) "/\" (a `))) is Element of the carrier of B
[((g "/\" (a `)) "/\" (a `)),(((g `) "/\" a) "/\" (a `))] is set
{((g "/\" (a `)) "/\" (a `)),(((g `) "/\" a) "/\" (a `))} is set
{((g "/\" (a `)) "/\" (a `))} is set
{{((g "/\" (a `)) "/\" (a `)),(((g `) "/\" a) "/\" (a `))},{((g "/\" (a `)) "/\" (a `))}} is set
the L_join of B . [((g "/\" (a `)) "/\" (a `)),(((g `) "/\" a) "/\" (a `))] is set
a "/\" (a `) is Element of the carrier of B
the L_meet of B . (a,(a `)) is Element of the carrier of B
[a,(a `)] is set
{a,(a `)} is set
{{a,(a `)},{a}} is set
the L_meet of B . [a,(a `)] is set
(g `) "/\" (a "/\" (a `)) is Element of the carrier of B
the L_meet of B . ((g `),(a "/\" (a `))) is Element of the carrier of B
[(g `),(a "/\" (a `))] is set
{(g `),(a "/\" (a `))} is set
{{(g `),(a "/\" (a `))},{(g `)}} is set
the L_meet of B . [(g `),(a "/\" (a `))] is set
Bottom B is Element of the carrier of B
(g "/\" (a `)) "\/" (Bottom B) is Element of the carrier of B
the L_join of B . ((g "/\" (a `)),(Bottom B)) is Element of the carrier of B
[(g "/\" (a `)),(Bottom B)] is set
{(g "/\" (a `)),(Bottom B)} is set
{{(g "/\" (a `)),(Bottom B)},{(g "/\" (a `))}} is set
the L_join of B . [(g "/\" (a `)),(Bottom B)] is set
(a `) "/\" (F `) is Element of the carrier of B
the L_meet of B . ((a `),(F `)) is Element of the carrier of B
[(a `),(F `)] is set
{(a `),(F `)} is set
{(a `)} is set
{{(a `),(F `)},{(a `)}} is set
the L_meet of B . [(a `),(F `)] is set
g "/\" a is Element of the carrier of B
the L_meet of B . (g,a) is Element of the carrier of B
[g,a] is set
{g,a} is set
{{g,a},{g}} is set
the L_meet of B . [g,a] is set
((a `) "/\" (F `)) "\/" (g "/\" a) is Element of the carrier of B
the L_join of B . (((a `) "/\" (F `)),(g "/\" a)) is Element of the carrier of B
[((a `) "/\" (F `)),(g "/\" a)] is set
{((a `) "/\" (F `)),(g "/\" a)} is set
{((a `) "/\" (F `))} is set
{{((a `) "/\" (F `)),(g "/\" a)},{((a `) "/\" (F `))}} is set
the L_join of B . [((a `) "/\" (F `)),(g "/\" a)] is set
((a `) "/\" (F `)) "\/" a is Element of the carrier of B
the L_join of B . (((a `) "/\" (F `)),a) is Element of the carrier of B
[((a `) "/\" (F `)),a] is set
{((a `) "/\" (F `)),a} is set
{{((a `) "/\" (F `)),a},{((a `) "/\" (F `))}} is set
the L_join of B . [((a `) "/\" (F `)),a] is set
Top B is Element of the carrier of B
g "/\" (Top B) is Element of the carrier of B
the L_meet of B . (g,(Top B)) is Element of the carrier of B
[g,(Top B)] is set
{g,(Top B)} is set
{{g,(Top B)},{g}} is set
the L_meet of B . [g,(Top B)] is set
(g "/\" (a `)) "\/" (g "/\" a) is Element of the carrier of B
the L_join of B . ((g "/\" (a `)),(g "/\" a)) is Element of the carrier of B
[(g "/\" (a `)),(g "/\" a)] is set
{(g "/\" (a `)),(g "/\" a)} is set
{{(g "/\" (a `)),(g "/\" a)},{(g "/\" (a `))}} is set
the L_join of B . [(g "/\" (a `)),(g "/\" a)] is set
(a `) "\/" a is Element of the carrier of B
the L_join of B . ((a `),a) is Element of the carrier of B
[(a `),a] is set
{(a `),a} is set
{{(a `),a},{(a `)}} is set
the L_join of B . [(a `),a] is set
g "/\" ((a `) "\/" a) is Element of the carrier of B
the L_meet of B . (g,((a `) "\/" a)) is Element of the carrier of B
[g,((a `) "\/" a)] is set
{g,((a `) "\/" a)} is set
{{g,((a `) "\/" a)},{g}} is set
the L_meet of B . [g,((a `) "\/" a)] is set
(g `) "/\" (Bottom B) is Element of the carrier of B
the L_meet of B . ((g `),(Bottom B)) is Element of the carrier of B
[(g `),(Bottom B)] is set
{(g `),(Bottom B)} is set
{{(g `),(Bottom B)},{(g `)}} is set
the L_meet of B . [(g `),(Bottom B)] is set
a "/\" F is Element of the carrier of B
the L_meet of B . (a,F) is Element of the carrier of B
[a,F] is set
{a,F} is set
{{a,F},{a}} is set
the L_meet of B . [a,F] is set
a "\/" (a "/\" F) is Element of the carrier of B
the L_join of B . (a,(a "/\" F)) is Element of the carrier of B
[a,(a "/\" F)] is set
{a,(a "/\" F)} is set
{{a,(a "/\" F)},{a}} is set
the L_join of B . [a,(a "/\" F)] is set
(a "\/" (a "/\" F)) "\/" ((a `) "/\" (F `)) is Element of the carrier of B
the L_join of B . ((a "\/" (a "/\" F)),((a `) "/\" (F `))) is Element of the carrier of B
[(a "\/" (a "/\" F)),((a `) "/\" (F `))] is set
{(a "\/" (a "/\" F)),((a `) "/\" (F `))} is set
{(a "\/" (a "/\" F))} is set
{{(a "\/" (a "/\" F)),((a `) "/\" (F `))},{(a "\/" (a "/\" F))}} is set
the L_join of B . [(a "\/" (a "/\" F)),((a `) "/\" (F `))] is set
(a "/\" F) "\/" ((a `) "/\" (F `)) is Element of the carrier of B
the L_join of B . ((a "/\" F),((a `) "/\" (F `))) is Element of the carrier of B
[(a "/\" F),((a `) "/\" (F `))] is set
{(a "/\" F),((a `) "/\" (F `))} is set
{(a "/\" F)} is set
{{(a "/\" F),((a `) "/\" (F `))},{(a "/\" F)}} is set
the L_join of B . [(a "/\" F),((a `) "/\" (F `))] is set
a "\/" ((a "/\" F) "\/" ((a `) "/\" (F `))) is Element of the carrier of B
the L_join of B . (a,((a "/\" F) "\/" ((a `) "/\" (F `)))) is Element of the carrier of B
[a,((a "/\" F) "\/" ((a `) "/\" (F `)))] is set
{a,((a "/\" F) "\/" ((a `) "/\" (F `)))} is set
{{a,((a "/\" F) "\/" ((a `) "/\" (F `)))},{a}} is set
the L_join of B . [a,((a "/\" F) "\/" ((a `) "/\" (F `)))] is set
(a `) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((a `),(a `)) is Element of the carrier of B
[(a `),(a `)] is set
{(a `),(a `)} is set
{{(a `),(a `)},{(a `)}} is set
the L_meet of B . [(a `),(a `)] is set
g "/\" ((a `) "/\" (a `)) is Element of the carrier of B
the L_meet of B . (g,((a `) "/\" (a `))) is Element of the carrier of B
[g,((a `) "/\" (a `))] is set
{g,((a `) "/\" (a `))} is set
{{g,((a `) "/\" (a `))},{g}} is set
the L_meet of B . [g,((a `) "/\" (a `))] is set
B is non empty join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular lower-bounded upper-bounded bounded complemented Boolean implicative Heyting LattStr
the carrier of B is non empty set
a is Element of the carrier of B
<.a.) is non empty final meet-closed join-closed Element of bool the carrier of B
bool the carrier of B is non empty set
{ b₁ where b₁ is Element of the carrier of B : a [= b₁ } is set
(B,<.a.)) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like distributive modular upper-bounded implicative LattStr
latt <.a.) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like lower-bounded LattStr
((B,<.a.)),(latt <.a.))) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
the carrier of (B,<.a.)) is non empty set
the carrier of (latt <.a.)) is non empty set
[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):] is Relation-like non empty set
the L_join of (B,<.a.)) is Relation-like [: the carrier of (B,<.a.)), the carrier of (B,<.a.)):] -defined the carrier of (B,<.a.)) -valued Function-like non empty total V20([: the carrier of (B,<.a.)), the carrier of (B,<.a.)):], the carrier of (B,<.a.))) commutative associative idempotent Element of bool [:[: the carrier of (B,<.a.)), the carrier of (B,<.a.)):], the carrier of (B,<.a.)):]
[: the carrier of (B,<.a.)), the carrier of (B,<.a.)):] is Relation-like non empty set
[:[: the carrier of (B,<.a.)), the carrier of (B,<.a.)):], the carrier of (B,<.a.)):] is Relation-like non empty set
bool [:[: the carrier of (B,<.a.)), the carrier of (B,<.a.)):], the carrier of (B,<.a.)):] is non empty set
the L_join of (latt <.a.)) is Relation-like [: the carrier of (latt <.a.)), the carrier of (latt <.a.)):] -defined the carrier of (latt <.a.)) -valued Function-like non empty total V20([: the carrier of (latt <.a.)), the carrier of (latt <.a.)):], the carrier of (latt <.a.))) commutative associative idempotent Element of bool [:[: the carrier of (latt <.a.)), the carrier of (latt <.a.)):], the carrier of (latt <.a.)):]
[: the carrier of (latt <.a.)), the carrier of (latt <.a.)):] is Relation-like non empty set
[:[: the carrier of (latt <.a.)), the carrier of (latt <.a.)):], the carrier of (latt <.a.)):] is Relation-like non empty set
bool [:[: the carrier of (latt <.a.)), the carrier of (latt <.a.)):], the carrier of (latt <.a.)):] is non empty set
( the carrier of (B,<.a.)), the carrier of (latt <.a.)), the L_join of (B,<.a.)), the L_join of (latt <.a.))) is Relation-like [:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:] -defined [: the carrier of (B,<.a.)), the carrier of (latt <.a.)):] -valued Function-like non empty total V20([:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]) Element of bool [:[:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:]
[:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:] is Relation-like non empty set
[:[:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:] is Relation-like non empty set
bool [:[:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:] is non empty set
the L_meet of (B,<.a.)) is Relation-like [: the carrier of (B,<.a.)), the carrier of (B,<.a.)):] -defined the carrier of (B,<.a.)) -valued Function-like non empty total V20([: the carrier of (B,<.a.)), the carrier of (B,<.a.)):], the carrier of (B,<.a.))) commutative associative idempotent Element of bool [:[: the carrier of (B,<.a.)), the carrier of (B,<.a.)):], the carrier of (B,<.a.)):]
the L_meet of (latt <.a.)) is Relation-like [: the carrier of (latt <.a.)), the carrier of (latt <.a.)):] -defined the carrier of (latt <.a.)) -valued Function-like non empty total V20([: the carrier of (latt <.a.)), the carrier of (latt <.a.)):], the carrier of (latt <.a.))) commutative associative idempotent Element of bool [:[: the carrier of (latt <.a.)), the carrier of (latt <.a.)):], the carrier of (latt <.a.)):]
( the carrier of (B,<.a.)), the carrier of (latt <.a.)), the L_meet of (B,<.a.)), the L_meet of (latt <.a.))) is Relation-like [:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:] -defined [: the carrier of (B,<.a.)), the carrier of (latt <.a.)):] -valued Function-like non empty total V20([:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]) Element of bool [:[:[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:],[: the carrier of (B,<.a.)), the carrier of (latt <.a.)):]:]
LattStr(# [: the carrier of (B,<.a.)), the carrier of (latt <.a.)):],( the carrier of (B,<.a.)), the carrier of (latt <.a.)), the L_join of (B,<.a.)), the L_join of (latt <.a.))),( the carrier of (B,<.a.)), the carrier of (latt <.a.)), the L_meet of (B,<.a.)), the L_meet of (latt <.a.))) #) is non empty strict LattStr
equivalence_wrt <.a.) is Relation-like the carrier of B -defined the carrier of B -valued total V20( the carrier of B, the carrier of B) V29() V31() V36() Element of bool [: the carrier of B, the carrier of B:]
[: the carrier of B, the carrier of B:] is Relation-like non empty set
bool [: the carrier of B, the carrier of B:] is non empty set
g is Relation-like Function-like set
dom g is set
S is Element of the carrier of B
S <=> a is Element of the carrier of B
S => a is Element of the carrier of B
a => S is Element of the carrier of B
(S => a) "/\" (a => S) is Element of the carrier of B
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B . ((S => a),(a => S)) is Element of the carrier of B
[(S => a),(a => S)] is set
{(S => a),(a => S)} is set
{(S => a)} is set
{{(S => a),(a => S)},{(S => a)}} is set
the L_meet of B . [(S => a),(a => S)] is set
S "\/" (S <=> a) is Element of the carrier of B
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
the L_join of B . (S,(S <=> a)) is Element of the carrier of B
[S,(S <=> a)] is set
{S,(S <=> a)} is set
{S} is set
{{S,(S <=> a)},{S}} is set
the L_join of B . [S,(S <=> a)] is set
(S "\/" (S <=> a)) <=> S is Element of the carrier of B
(S "\/" (S <=> a)) => S is Element of the carrier of B
S => (S "\/" (S <=> a)) is Element of the carrier of B
((S "\/" (S <=> a)) => S) "/\" (S => (S "\/" (S <=> a))) is Element of the carrier of B
the L_meet of B . (((S "\/" (S <=> a)) => S),(S => (S "\/" (S <=> a)))) is Element of the carrier of B
[((S "\/" (S <=> a)) => S),(S => (S "\/" (S <=> a)))] is set
{((S "\/" (S <=> a)) => S),(S => (S "\/" (S <=> a)))} is set
{((S "\/" (S <=> a)) => S)} is set
{{((S "\/" (S <=> a)) => S),(S => (S "\/" (S <=> a)))},{((S "\/" (S <=> a)) => S)}} is set
the L_meet of B . [((S "\/" (S <=> a)) => S),(S => (S "\/" (S <=> a)))] is set
S "\/" a is Element of the carrier of B
the L_join of B . (S,a) is Element of the carrier of B
[S,a] is set
{S,a} is set
{{S,a},{S}} is set
the L_join of B . [S,a] is set
(S "\/" (S <=> a)) ` is Element of the carrier of B
S ` is Element of the carrier of B
(S <=> a) ` is Element of the carrier of B
(S `) "/\" ((S <=> a) `) is Element of the carrier of B
the L_meet of B . ((S `),((S <=> a) `)) is Element of the carrier of B
[(S `),((S <=> a) `)] is set
{(S `),((S <=> a) `)} is set
{(S `)} is set
{{(S `),((S <=> a) `)},{(S `)}} is set
the L_meet of B . [(S `),((S <=> a) `)] is set
a ` is Element of the carrier of B
S "/\" (a `) is Element of the carrier of B
the L_meet of B . (S,(a `)) is Element of the carrier of B
[S,(a `)] is set
{S,(a `)} is set
{{S,(a `)},{S}} is set
the L_meet of B . [S,(a `)] is set
(S `) "/\" a is Element of the carrier of B
the L_meet of B . ((S `),a) is Element of the carrier of B
[(S `),a] is set
{(S `),a} is set
{{(S `),a},{(S `)}} is set
the L_meet of B . [(S `),a] is set
(S "/\" (a `)) "\/" ((S `) "/\" a) is Element of the carrier of B
the L_join of B . ((S "/\" (a `)),((S `) "/\" a)) is Element of the carrier of B
[(S "/\" (a `)),((S `) "/\" a)] is set
{(S "/\" (a `)),((S `) "/\" a)} is set
{(S "/\" (a `))} is set
{{(S "/\" (a `)),((S `) "/\" a)},{(S "/\" (a `))}} is set
the L_join of B . [(S "/\" (a `)),((S `) "/\" a)] is set
(S `) "/\" ((S "/\" (a `)) "\/" ((S `) "/\" a)) is Element of the carrier of B
the L_meet of B . ((S `),((S "/\" (a `)) "\/" ((S `) "/\" a))) is Element of the carrier of B
[(S `),((S "/\" (a `)) "\/" ((S `) "/\" a))] is set
{(S `),((S "/\" (a `)) "\/" ((S `) "/\" a))} is set
{{(S `),((S "/\" (a `)) "\/" ((S `) "/\" a))},{(S `)}} is set
the L_meet of B . [(S `),((S "/\" (a `)) "\/" ((S `) "/\" a))] is set
(S `) "/\" (S "/\" (a `)) is Element of the carrier of B
the L_meet of B . ((S `),(S "/\" (a `))) is Element of the carrier of B
[(S `),(S "/\" (a `))] is set
{(S `),(S "/\" (a `))} is set
{{(S `),(S "/\" (a `))},{(S `)}} is set
the L_meet of B . [(S `),(S "/\" (a `))] is set
(S `) "/\" ((S `) "/\" a) is Element of the carrier of B
the L_meet of B . ((S `),((S `) "/\" a)) is Element of the carrier of B
[(S `),((S `) "/\" a)] is set
{(S `),((S `) "/\" a)} is set
{{(S `),((S `) "/\" a)},{(S `)}} is set
the L_meet of B . [(S `),((S `) "/\" a)] is set
((S `) "/\" (S "/\" (a `))) "\/" ((S `) "/\" ((S `) "/\" a)) is Element of the carrier of B
the L_join of B . (((S `) "/\" (S "/\" (a `))),((S `) "/\" ((S `) "/\" a))) is Element of the carrier of B
[((S `) "/\" (S "/\" (a `))),((S `) "/\" ((S `) "/\" a))] is set
{((S `) "/\" (S "/\" (a `))),((S `) "/\" ((S `) "/\" a))} is set
{((S `) "/\" (S "/\" (a `)))} is set
{{((S `) "/\" (S "/\" (a `))),((S `) "/\" ((S `) "/\" a))},{((S `) "/\" (S "/\" (a `)))}} is set
the L_join of B . [((S `) "/\" (S "/\" (a `))),((S `) "/\" ((S `) "/\" a))] is set
Bottom B is Element of the carrier of B
(Bottom B) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((Bottom B),(a `)) is Element of the carrier of B
[(Bottom B),(a `)] is set
{(Bottom B),(a `)} is set
{(Bottom B)} is set
{{(Bottom B),(a `)},{(Bottom B)}} is set
the L_meet of B . [(Bottom B),(a `)] is set
S "/\" a is Element of the carrier of B
the L_meet of B . (S,a) is Element of the carrier of B
the L_meet of B . [S,a] is set
(S `) "/\" (a `) is Element of the carrier of B
the L_meet of B . ((S `),(a `)) is Element of the carrier of B
[(S `),(a `)] is set
{(S `),(a `)} is set
{{(S `),(a `)},{(S `)}} is set
the L_meet of B . [(S `),(a `)] is set
(S "/\" a) "\/" ((S `) "/\" (a `)) is Element of the carrier of B
the L_join of B . ((S "/\" a),((S `) "/\" (a `))) is Element of the carrier of B
[(S "/\" a),((S `) "/\" (a `))] is set
{(S "/\" a),((S `) "/\" (a `))} is set
{(S "/\" a)} is set
{{(S "/\" a),((S `) "/\" (a `))},{(S "/\" a)}} is set
the L_join of B . [(S "/\" a),((S `) "/\" (a `))] is set
S "\/" ((S "/\" a) "\/" ((S `) "/\" (a `))) is Element of the carrier of B
the L_join of B . (S,((S "/\" a) "\/" ((S `) "/\" (a `)))) is Element of the carrier of B
[S,((S "/\" a) "\/" ((S `) "/\" (a `)))] is set
{S,((S "/\" a) "\/" ((S `) "/\" (a `)))} is set
{{S,((S "/\" a) "\/" ((S `) "/\" (a `)))},{S}} is set
the L_join of B . [S,((S "/\" a) "\/" ((S `) "/\" (a `)))] is set
S "\/" (S "/\" a) is Element of the carrier of B
the L_join of B . (S,(S "/\" a)) is Element of the carrier of B
[S,(S "/\" a)] is set
{S,(S "/\" a)} is set
{{S,(S "/\" a)},{S}} is set
the L_join of B . [S,(S "/\" a)] is set
(S "\/" (S "/\" a)) "\/" ((S `) "/\" (a `)) is Element of the carrier of B
the L_join of B . ((S "\/" (S "/\" a)),((S `) "/\" (a `))) is Element of the carrier of B
[(S "\/" (S "/\" a)),((S `) "/\" (a `))] is set
{(S "\/" (S "/\" a)),((S `) "/\" (a `))} is set
{(S "\/" (S "/\" a))} is set
{{(S "\/" (S "/\" a)),((S `) "/\" (a `))},{(S "\/" (S "/\" a))}} is set
the L_join of B . [(S "\/" (S "/\" a)),((S `) "/\" (a `))] is set
(Bottom B) "\/" ((S `) "/\" a) is Element of the carrier of B
the L_join of B . ((Bottom B),((S `) "/\" a)) is Element of the carrier of B
[(Bottom B),((S `) "/\" a)] is set
{(Bottom B),((S `) "/\" a)} is set
{{(Bottom B),((S `) "/\" a)},{(Bottom B)}} is set
the L_join of B . [(Bottom B),((S `) "/\" a)] is set
(S `) "/\" S is Element of the carrier of B
the L_meet of B . ((S `),S) is Element of the carrier of B
[(S `),S] is set
{(S `),S} is set
{{(S `),S},{(S `)}} is set
the L_meet of B . [(S `),S] is set
(a `) "/\" S is Element of the carrier of B
the L_meet of B . ((a `),S) is Element of the carrier of B
[(a `),S] is set
{(a `),S} is set
{(a `)} is set
{{(a `),S},{(a `)}} is set
the L_meet of B . [(a `),S] is set
(S `) "/\" ((a `) "/\" S) is Element of the carrier of B
the L_meet of B . ((S `),((a `) "/\" S)) is Element of the carrier of B
[(S `),((a `) "/\" S)] is set
{(S `),((a `) "/\" S)} is set
{{(S `),((a `) "/\" S)},{(S `)}} is set
the L_meet of B . [(S `),((a `) "/\" S)] is set
((S `) "/\" (a `)) "/\" S is Element of the carrier of B
the L_meet of B . (((S `) "/\" (a `)),S) is Element of the carrier of B
[((S `) "/\" (a `)),S] is set
{((S `) "/\" (a `)),S} is set
{((S `) "/\" (a `))} is set
{{((S `) "/\" (a `)),S},{((S `) "/\" (a `))}} is set
the L_meet of B . [((S `) "/\" (a `)),S] is set
S "\/" (Bottom B) is Element of the carrier of B
the L_join of B . (S,(Bottom B)) is Element of the carrier of B
[S,(Bottom B)] is set
{S,(Bottom B)} is set
{{S,(Bottom B)},{S}} is set
the L_join of B . [S,(Bottom B)] is set
(S `) "/\" (S `) is Element of the carrier of B
the L_meet of B . ((S `),(S `)) is Element of the carrier of B
[(S `),(S `)] is set
{(S `),(S `)} is set
{{(S `),(S `)},{(S `)}} is set
the L_meet of B . [(S `),(S `)] is set
((S `) "/\" (S `)) "/\" a is Element of the carrier of B
the L_meet of B . (((S `) "/\" (S `)),a) is Element of the carrier of B
[((S `) "/\" (S `)),a] is set
{((S `) "/\" (S `)),a} is set
{((S `) "/\" (S `))} is set
{{((S `) "/\" (S `)),a},{((S `) "/\" (S `))}} is set
the L_meet of B . [((S `) "/\" (S `)),a] is set
((S `) "/\" S) "/\" (a `) is Element of the carrier of B
the L_meet of B . (((S `) "/\" S),(a `)) is Element of the carrier of B
[((S `) "/\" S),(a `)] is set
{((S `) "/\" S),(a `)} is set
{((S `) "/\" S)} is set
{{((S `) "/\" S),(a `)},{((S `) "/\" S)}} is set
the L_meet of B . [((S `) "/\" S),(a `)] is set
S "\/" ((S `) "/\" (a `)) is Element of the carrier of B
the L_join of B . (S,((S `) "/\" (a `))) is Element of the carrier of B
[S,((S `) "/\" (a `))] is set
{S,((S `) "/\" (a `))} is set
{{S,((S `) "/\" (a `))},{S}} is set
the L_join of B . [S,((S `) "/\" (a `))] is set
(S "\/" ((S `) "/\" (a `))) "/\" S is Element of the carrier of B
the L_meet of B . ((S "\/" ((S `) "/\" (a `))),S) is Element of the carrier of B
[(S "\/" ((S `) "/\" (a `))),S] is set
{(S "\/" ((S `) "/\" (a `))),S} is set
{(S "\/" ((S `) "/\" (a `)))} is set
{{(S "\/" ((S `) "/\" (a `))),S},{(S "\/" ((S `) "/\" (a `)))}} is set
the L_meet of B . [(S "\/" ((S `) "/\" (a `))),S] is set
S "/\" S is Element of the carrier of B
the L_meet of B . (S,S) is Element of the carrier of B
[S,S] is set
{S,S} is set
{{S,S},{S}} is set
the L_meet of B . [S,S] is set
(S "/\" S) "\/" (((S `) "/\" (a `)) "/\" S) is Element of the carrier of B
the L_join of B . ((S "/\" S),(((S `) "/\" (a `)) "/\" S)) is Element of the carrier of B
[(S "/\" S),(((S `) "/\" (a `)) "/\" S)] is set
{(S "/\" S),(((S `) "/\" (a `)) "/\" S)} is set
{(S "/\" S)} is set
{{(S "/\" S),(((S `) "/\" (a `)) "/\" S)},{(S "/\" S)}} is set
the L_join of B . [(S "/\" S),(((S `) "/\" (a `)) "/\" S)] is set
(S "/\" a) "\/" S is Element of the carrier of B
the L_join of B . ((S "/\" a),S) is Element of the carrier of B
[(S "/\" a),S] is set
{(S "/\" a),S} is set
{{(S "/\" a),S},{(S "/\" a)}} is set
the L_join of B . [(S "/\" a),S] is set
(S "\/" (S <=> a)) "/\" S is Element of the carrier of B
the L_meet of B . ((S "\/" (S <=> a)),S) is Element of the carrier of B
[(S "\/" (S <=> a)),S] is set
{(S "\/" (S <=> a)),S} is set
{(S "\/" (S <=> a))} is set
{{(S "\/" (S <=> a)),S},{(S "\/" (S <=> a))}} is set
the L_meet of B . [(S "\/" (S <=> a)),S] is set
((S "\/" (S <=> a)) `) "/\" (S `) is Element of the carrier of B
the L_meet of B . (((S "\/" (S <=> a)) `),(S `)) is Element of the carrier of B
[((S "\/" (S <=> a)) `),(S `)] is set
{((S "\/" (S <=> a)) `),(S `)} is set
{((S "\/" (S <=> a)) `)} is set
{{((S "\/" (S <=> a)) `),(S `)},{((S "\/" (S <=> a)) `)}} is set
the L_meet of B . [((S "\/" (S <=> a)) `),(S `)] is set
((S "\/" (S <=> a)) "/\" S) "\/" (((S "\/" (S <=> a)) `) "/\" (S `)) is Element of the carrier of B
the L_join of B . (((S "\/" (S <=> a)) "/\" S),(((S "\/" (S <=> a)) `) "/\" (S `))) is Element of the carrier of B
[((S "\/" (S <=> a)) "/\" S),(((S "\/" (S <=> a)) `) "/\" (S `))] is set
{((S "\/" (S <=> a)) "/\" S),(((S "\/" (S <=> a)) `) "/\" (S `))} is set
{((S "\/" (S <=> a)) "/\" S)} is set
{{((S "\/" (S <=> a)) "/\" S),(((S "\/" (S <=> a)) `) "/\" (S `))},{((S "\/" (S <=> a)) "/\" S)}} is set
the L_join of B . [((S "\/" (S <=> a)) "/\" S),(((S "\/" (S <=> a)) `) "/\" (S `))] is set
(S "/\" a) "\/" ((S `) "/\" a) is Element of the carrier of B
the L_join of B . ((S "/\" a),((S `) "/\" a)) is Element of the carrier of B
[(S "/\" a),((S `) "/\" a)] is set
{(S "/\" a),((S `) "/\" a)} is set
{{(S "/\" a),((S `) "/\" a)},{(S "/\" a)}} is set
the L_join of B . [(S "/\" a),((S `) "/\" a)] is set
S "\/" ((S "/\" a) "\/" ((S `) "/\" a)) is Element of the carrier of B
the L_join of B . (S,((S "/\" a) "\/" ((S `) "/\" a))) is Element of the carrier of B
[S,((S "/\" a) "\/" ((S `) "/\" a))] is set
{S,((S "/\" a) "\/" ((S `) "/\" a))} is set
{{S,((S "/\" a) "\/" ((S `) "/\" a))},{S}} is set
the L_join of B . [S,((S "/\" a) "\/" ((S `) "/\" a))] is set
S "\/" (S `) is Element of the carrier of B
the L_join of B . (S,(S `)) is Element of the carrier of B
[S,(S `)] is set
{S,(S `)} is set
{{S,(S `)},{S}} is set
the L_join of B . [S,(S `)] is set
(S "\/" (S `)) "/\" a is Element of the carrier of B
the L_meet of B . ((S "\/" (S `)),a) is Element of the carrier of B
[(S "\/" (S `)),a] is set
{(S "\/" (S `)),a} is set
{(S "\/" (S `))} is set
{{(S "\/" (S `)),a},{(S "\/" (S `))}} is set
the L_meet of B . [(S "\/" (S `)),a] is set
S "\/" ((S "\/" (S `)) "/\" a) is Element of the carrier of B
the L_join of B . (S,((S "\/" (S `)) "/\" a)) is Element of the carrier of B
[S,((S "\/" (S `)) "/\" a)] is set
{S,((S "\/" (S `)) "/\" a)} is set
{{S,((S "\/" (S `)) "/\" a)},{S}} is set
the L_join of B . [S,((S "\/" (S `)) "/\" a)] is set
Top B is Element of the carrier of B
(Top B) "/\" a is Element of the carrier of B
the L_meet of B . ((Top B),a) is Element of the carrier of B
[(Top B),a] is set
{(Top B),a} is set
{(Top B)} is set
{{(Top B),a},{(Top B)}} is set
the L_meet of B . [(Top B),a] is set
S "\/" ((Top B) "/\" a) is Element of the carrier of B
the L_join of B . (S,((Top B) "/\" a)) is Element of the carrier of B
[S,((Top B) "/\" a)] is set
{S,((Top B) "/\" a)} is set
{{S,((Top B) "/\" a)},{S}} is set
the L_join of B . [S,((Top B) "/\" a)] is set
(((B,<.a.)),(latt <.a.)))) is Relation-like set
the carrier of ((B,<.a.)),(latt <.a.))) is non empty set
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of ((B,<.a.)),(latt <.a.))) : b₁ [= b₂ } is set
field (((B,<.a.)),(latt <.a.)))) is set
the L_join of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
[:[: the carrier of B, the carrier of B:], the carrier of B:] is Relation-like non empty set
bool [:[: the carrier of B, the carrier of B:], the carrier of B:] is non empty set
the L_meet of B is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) commutative associative idempotent Element of bool [:[: the carrier of B, the carrier of B:], the carrier of B:]
Class (equivalence_wrt <.a.)) is non empty V26() a_partition of the carrier of B
o1 is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) ( the carrier of B, equivalence_wrt <.a.))
( the carrier of B,(equivalence_wrt <.a.)),o1) is Relation-like [:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):] -defined Class (equivalence_wrt <.a.)) -valued Function-like non empty total V20([:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):], Class (equivalence_wrt <.a.))) Element of bool [:[:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):],(Class (equivalence_wrt <.a.))):]
[:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):] is Relation-like non empty set
[:[:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):],(Class (equivalence_wrt <.a.))):] is Relation-like non empty set
bool [:[:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):],(Class (equivalence_wrt <.a.))):] is non empty set
o2 is Relation-like [: the carrier of B, the carrier of B:] -defined the carrier of B -valued Function-like non empty total V20([: the carrier of B, the carrier of B:], the carrier of B) ( the carrier of B, equivalence_wrt <.a.))
( the carrier of B,(equivalence_wrt <.a.)),o2) is Relation-like [:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):] -defined Class (equivalence_wrt <.a.)) -valued Function-like non empty total V20([:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):], Class (equivalence_wrt <.a.))) Element of bool [:[:(Class (equivalence_wrt <.a.))),(Class (equivalence_wrt <.a.))):],(Class (equivalence_wrt <.a.))):]
LattStr(# (Class (equivalence_wrt <.a.))),( the carrier of B,(equivalence_wrt <.a.)),o1),( the carrier of B,(equivalence_wrt <.a.)),o2) #) is non empty strict LattStr
(B) is Relation-like set
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of B : b₁ [= b₂ } is set
h is Relation-like the carrier of B -defined the carrier of B -valued Function-like non empty total V20( the carrier of B, the carrier of B) Element of bool [: the carrier of B, the carrier of B:]
<:g,h:> is Relation-like Function-like set
f is Relation-like Function-like set
field (B) is set
dom h is non empty set
dom f is set
rng f is set
x is Element of the carrier of B
h . x is Element of the carrier of B
x <=> a is Element of the carrier of B
x => a is Element of the carrier of B
a => x is Element of the carrier of B
(x => a) "/\" (a => x) is Element of the carrier of B
the L_meet of B . ((x => a),(a => x)) is Element of the carrier of B
[(x => a),(a => x)] is set
{(x => a),(a => x)} is set
{(x => a)} is set
{{(x => a),(a => x)},{(x => a)}} is set
the L_meet of B . [(x => a),(a => x)] is set
x "\/" (x <=> a) is Element of the carrier of B
the L_join of B . (x,(x <=> a)) is Element of the carrier of B
[x,(x <=> a)] is set
{x,(x <=> a)} is set
{x} is set
{{x,(x <=> a)},{x}} is set
the L_join of B . [x,(x <=> a)] is set
Class ((equivalence_wrt <.a.)),x) is Element of bool the carrier of B
(B,B,(x "\/" (x <=> a)),x) is Element of the carrier of (B,B)
(B,B) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
( the carrier of B, the carrier of B, the L_join of B, the L_join of B) is Relation-like [:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] -defined [: the carrier of B, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]) Element of bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:]
[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:] is non empty set
( the carrier of B, the carrier of B, the L_meet of B, the L_meet of B) is Relation-like [:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] -defined [: the carrier of B, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]) Element of bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:]
LattStr(# [: the carrier of B, the carrier of B:],( the carrier of B, the carrier of B, the L_join of B, the L_join of B),( the carrier of B, the carrier of B, the L_meet of B, the L_meet of B) #) is non empty strict LattStr
the carrier of (B,B) is non empty set
{(x "\/" (x <=> a)),x} is set
{(x "\/" (x <=> a))} is set
{{(x "\/" (x <=> a)),x},{(x "\/" (x <=> a))}} is set
(x "\/" (x <=> a)) <=> x is Element of the carrier of B
(x "\/" (x <=> a)) => x is Element of the carrier of B
x => (x "\/" (x <=> a)) is Element of the carrier of B
((x "\/" (x <=> a)) => x) "/\" (x => (x "\/" (x <=> a))) is Element of the carrier of B
the L_meet of B . (((x "\/" (x <=> a)) => x),(x => (x "\/" (x <=> a)))) is Element of the carrier of B
[((x "\/" (x <=> a)) => x),(x => (x "\/" (x <=> a)))] is set
{((x "\/" (x <=> a)) => x),(x => (x "\/" (x <=> a)))} is set
{((x "\/" (x <=> a)) => x)} is set
{{((x "\/" (x <=> a)) => x),(x => (x "\/" (x <=> a)))},{((x "\/" (x <=> a)) => x)}} is set
the L_meet of B . [((x "\/" (x <=> a)) => x),(x => (x "\/" (x <=> a)))] is set
x is set
y is set
f . y is set
x9 is Element of the carrier of B
h . x9 is Element of the carrier of B
g . x9 is set
EqClass ((equivalence_wrt <.a.)),x9) is Element of Class (equivalence_wrt <.a.))
hx is Element of the carrier of (B,<.a.))
y9 is Element of the carrier of (latt <.a.))
((B,<.a.)),(latt <.a.)),hx,y9) is Element of the carrier of ((B,<.a.)),(latt <.a.)))
{hx,y9} is set
{hx} is set
{{hx,y9},{hx}} is set
x is set
y is Element of Class (equivalence_wrt <.a.))
x9 is Element of <.a.)
[y,x9] is Element of [:(Class (equivalence_wrt <.a.))),<.a.):]
[:(Class (equivalence_wrt <.a.))),<.a.):] is Relation-like non empty set
{y,x9} is set
{y} is set
{{y,x9},{y}} is set
y9 is Element of the carrier of B
Class ((equivalence_wrt <.a.)),y9) is Element of bool the carrier of B
y9 <=> a is Element of the carrier of B
y9 => a is Element of the carrier of B
a => y9 is Element of the carrier of B
(y9 => a) "/\" (a => y9) is Element of the carrier of B
the L_meet of B . ((y9 => a),(a => y9)) is Element of the carrier of B
[(y9 => a),(a => y9)] is set
{(y9 => a),(a => y9)} is set
{(y9 => a)} is set
{{(y9 => a),(a => y9)},{(y9 => a)}} is set
the L_meet of B . [(y9 => a),(a => y9)] is set
y9 "\/" (y9 <=> a) is Element of the carrier of B
the L_join of B . (y9,(y9 <=> a)) is Element of the carrier of B
[y9,(y9 <=> a)] is set
{y9,(y9 <=> a)} is set
{y9} is set
{{y9,(y9 <=> a)},{y9}} is set
the L_join of B . [y9,(y9 <=> a)] is set
(y9 "\/" (y9 <=> a)) <=> x9 is Element of the carrier of B
(y9 "\/" (y9 <=> a)) => x9 is Element of the carrier of B
x9 => (y9 "\/" (y9 <=> a)) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) => x9) "/\" (x9 => (y9 "\/" (y9 <=> a))) is Element of the carrier of B
the L_meet of B . (((y9 "\/" (y9 <=> a)) => x9),(x9 => (y9 "\/" (y9 <=> a)))) is Element of the carrier of B
[((y9 "\/" (y9 <=> a)) => x9),(x9 => (y9 "\/" (y9 <=> a)))] is set
{((y9 "\/" (y9 <=> a)) => x9),(x9 => (y9 "\/" (y9 <=> a)))} is set
{((y9 "\/" (y9 <=> a)) => x9)} is set
{{((y9 "\/" (y9 <=> a)) => x9),(x9 => (y9 "\/" (y9 <=> a)))},{((y9 "\/" (y9 <=> a)) => x9)}} is set
the L_meet of B . [((y9 "\/" (y9 <=> a)) => x9),(x9 => (y9 "\/" (y9 <=> a)))] is set
(y9 "\/" (y9 <=> a)) <=> ((y9 "\/" (y9 <=> a)) <=> x9) is Element of the carrier of B
(y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)) "/\" (((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))) is Element of the carrier of B
the L_meet of B . (((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))) is Element of the carrier of B
[((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))] is set
{((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))} is set
{((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))} is set
{{((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))},{((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))}} is set
the L_meet of B . [((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))] is set
((y9 "\/" (y9 <=> a)) <=> x9) <=> (y9 "\/" (y9 <=> a)) is Element of the carrier of B
(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))) "/\" ((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)) is Element of the carrier of B
the L_meet of B . ((((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))),((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))) is Element of the carrier of B
[(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))),((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))] is set
{(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))),((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))} is set
{(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))} is set
{{(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))),((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))},{(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a)))}} is set
the L_meet of B . [(((y9 "\/" (y9 <=> a)) <=> x9) => (y9 "\/" (y9 <=> a))),((y9 "\/" (y9 <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))] is set
(B,B,((y9 "\/" (y9 <=> a)) <=> x9),(y9 "\/" (y9 <=> a))) is Element of the carrier of (B,B)
(B,B) is non empty strict join-commutative join-associative meet-commutative meet-associative meet-absorbing join-absorbing Lattice-like LattStr
( the carrier of B, the carrier of B, the L_join of B, the L_join of B) is Relation-like [:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] -defined [: the carrier of B, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]) Element of bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:]
[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] is Relation-like non empty set
[:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:] is Relation-like non empty set
bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:] is non empty set
( the carrier of B, the carrier of B, the L_meet of B, the L_meet of B) is Relation-like [:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:] -defined [: the carrier of B, the carrier of B:] -valued Function-like non empty total V20([:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]) Element of bool [:[:[: the carrier of B, the carrier of B:],[: the carrier of B, the carrier of B:]:],[: the carrier of B, the carrier of B:]:]
LattStr(# [: the carrier of B, the carrier of B:],( the carrier of B, the carrier of B, the L_join of B, the L_join of B),( the carrier of B, the carrier of B, the L_meet of B, the L_meet of B) #) is non empty strict LattStr
the carrier of (B,B) is non empty set
{((y9 "\/" (y9 <=> a)) <=> x9),(y9 "\/" (y9 <=> a))} is set
{((y9 "\/" (y9 <=> a)) <=> x9)} is set
{{((y9 "\/" (y9 <=> a)) <=> x9),(y9 "\/" (y9 <=> a))},{((y9 "\/" (y9 <=> a)) <=> x9)}} is set
Class ((equivalence_wrt <.a.)),(y9 "\/" (y9 <=> a))) is Element of bool the carrier of B
Class ((equivalence_wrt <.a.)),((y9 "\/" (y9 <=> a)) <=> x9)) is Element of bool the carrier of B
((y9 "\/" (y9 <=> a)) <=> x9) <=> a is Element of the carrier of B
((y9 "\/" (y9 <=> a)) <=> x9) => a is Element of the carrier of B
a => ((y9 "\/" (y9 <=> a)) <=> x9) is Element of the carrier of B
(((y9 "\/" (y9 <=> a)) <=> x9) => a) "/\" (a => ((y9 "\/" (y9 <=> a)) <=> x9)) is Element of the carrier of B
the L_meet of B . ((((y9 "\/" (y9 <=> a)) <=> x9) => a),(a => ((y9 "\/" (y9 <=> a)) <=> x9))) is Element of the carrier of B
[(((y9 "\/" (y9 <=> a)) <=> x9) => a),(a => ((y9 "\/" (y9 <=> a)) <=> x9))] is set
{(((y9 "\/" (y9 <=> a)) <=> x9) => a),(a => ((y9 "\/" (y9 <=> a)) <=> x9))} is set
{(((y9 "\/" (y9 <=> a)) <=> x9) => a)} is set
{{(((y9 "\/" (y9 <=> a)) <=> x9) => a),(a => ((y9 "\/" (y9 <=> a)) <=> x9))},{(((y9 "\/" (y9 <=> a)) <=> x9) => a)}} is set
the L_meet of B . [(((y9 "\/" (y9 <=> a)) <=> x9) => a),(a => ((y9 "\/" (y9 <=> a)) <=> x9))] is set
((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a) is Element of the carrier of B
the L_join of B . (((y9 "\/" (y9 <=> a)) <=> x9),(((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) is Element of the carrier of B
[((y9 "\/" (y9 <=> a)) <=> x9),(((y9 "\/" (y9 <=> a)) <=> x9) <=> a)] is set
{((y9 "\/" (y9 <=> a)) <=> x9),(((y9 "\/" (y9 <=> a)) <=> x9) <=> a)} is set
{{((y9 "\/" (y9 <=> a)) <=> x9),(((y9 "\/" (y9 <=> a)) <=> x9) <=> a)},{((y9 "\/" (y9 <=> a)) <=> x9)}} is set
the L_join of B . [((y9 "\/" (y9 <=> a)) <=> x9),(((y9 "\/" (y9 <=> a)) <=> x9) <=> a)] is set
g . ((y9 "\/" (y9 <=> a)) <=> x9) is set
h . ((y9 "\/" (y9 <=> a)) <=> x9) is Element of the carrier of B
(((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) <=> ((y9 "\/" (y9 <=> a)) <=> x9) is Element of the carrier of B
(((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) is Element of the carrier of B
((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)) "/\" (((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a))) is Element of the carrier of B
the L_meet of B . (((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)))) is Element of the carrier of B
[((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)))] is set
{((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)))} is set
{((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))} is set
{{((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)))},{((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9))}} is set
the L_meet of B . [((((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)) => ((y9 "\/" (y9 <=> a)) <=> x9)),(((y9 "\/" (y9 <=> a)) <=> x9) => (((y9 "\/" (y9 <=> a)) <=> x9) "\/" (((y9 "\/" (y9 <=> a)) <=> x9) <=> a)))] is set
f . ((y9 "\/" (y9 <=> a)) <=> x9) is set
x is set
f . x is set
y is set
f . y is set
y9 is Element of the carrier of B
g . y9 is set
Class ((equivalence_wrt <.a.)),y9) is Element of bool the carrier of B
h . y9 is Element of the carrier of B
y9 <=> a is Element of the carrier of B
y9 => a is Element of the carrier of B
a => y9 is Element of the carrier of B
(y9 => a) "/\" (a => y9) is Element of the carrier of B
the L_meet of B . ((y9 => a),(a => y9)) is Element of the carrier of B
[(y9 => a),(a => y9)] is set
{(y9 => a),(a => y9)} is set
{(y9 => a)} is set
{{(y9 => a),(a => y9)},{(y9 => a)}} is set
the L_meet of B . [(y9 => a),(a => y9)] is set
y9 "\/" (y9 <=> a) is Element of the carrier of B
the L_join of B . (y9,(y9 <=> a)) is Element of the carrier of B
[y9,(y9 <=> a)] is set
{y9,(y9 <=> a)} is set
{y9} is set
{{y9,(y9 <=> a)},{y9}} is set
the L_join of B . [y9,(y9 <=> a)] is set
(y9 "\/" (y9 <=> a)) <=> y9 is Element of the carrier of B
(y9 "\/" (y9 <=> a)) => y9 is Element of the carrier of B
y9 => (y9 "\/" (y9 <=> a)) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) => y9) "/\" (y9 => (y9 "\/" (y9 <=> a))) is Element of the carrier of B
the L_meet of B . (((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))) is Element of the carrier of B
[((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))] is set
{((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))} is set
{((y9 "\/" (y9 <=> a)) => y9)} is set
{{((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))},{((y9 "\/" (y9 <=> a)) => y9)}} is set
the L_meet of B . [((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))] is set
x9 is Element of the carrier of B
h . x9 is Element of the carrier of B
x9 <=> a is Element of the carrier of B
x9 => a is Element of the carrier of B
a => x9 is Element of the carrier of B
(x9 => a) "/\" (a => x9) is Element of the carrier of B
the L_meet of B . ((x9 => a),(a => x9)) is Element of the carrier of B
[(x9 => a),(a => x9)] is set
{(x9 => a),(a => x9)} is set
{(x9 => a)} is set
{{(x9 => a),(a => x9)},{(x9 => a)}} is set
the L_meet of B . [(x9 => a),(a => x9)] is set
x9 "\/" (x9 <=> a) is Element of the carrier of B
the L_join of B . (x9,(x9 <=> a)) is Element of the carrier of B
[x9,(x9 <=> a)] is set
{x9,(x9 <=> a)} is set
{x9} is set
{{x9,(x9 <=> a)},{x9}} is set
the L_join of B . [x9,(x9 <=> a)] is set
(x9 "\/" (x9 <=> a)) <=> x9 is Element of the carrier of B
(x9 "\/" (x9 <=> a)) => x9 is Element of the carrier of B
x9 => (x9 "\/" (x9 <=> a)) is Element of the carrier of B
((x9 "\/" (x9 <=> a)) => x9) "/\" (x9 => (x9 "\/" (x9 <=> a))) is Element of the carrier of B
the L_meet of B . (((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))) is Element of the carrier of B
[((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))] is set
{((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))} is set
{((x9 "\/" (x9 <=> a)) => x9)} is set
{{((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))},{((x9 "\/" (x9 <=> a)) => x9)}} is set
the L_meet of B . [((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))] is set
g . x9 is set
Class ((equivalence_wrt <.a.)),x9) is Element of bool the carrier of B
[(g . y9),(h . y9)] is set
{(g . y9),(h . y9)} is set
{(g . y9)} is set
{{(g . y9),(h . y9)},{(g . y9)}} is set
[(g . x9),(h . x9)] is set
{(g . x9),(h . x9)} is set
{(g . x9)} is set
{{(g . x9),(h . x9)},{(g . x9)}} is set
g . x is set
g . y is set
h . x is set
h . y is set
x is set
f . x is set
y is set
[x,y] is set
{x,y} is set
{x} is set
{{x,y},{x}} is set
f . y is set
[(f . x),(f . y)] is set
{(f . x),(f . y)} is set
{(f . x)} is set
{{(f . x),(f . y)},{(f . x)}} is set
x9 is Element of the carrier of B
y9 is Element of the carrier of B
Top B is Element of the carrier of B
x9 "/\" (Top B) is Element of the carrier of B
the L_meet of B . (x9,(Top B)) is Element of the carrier of B
[x9,(Top B)] is set
{x9,(Top B)} is set
{x9} is set
{{x9,(Top B)},{x9}} is set
the L_meet of B . [x9,(Top B)] is set
x9 => y9 is Element of the carrier of B
(B,<.a.),x9) is Element of the carrier of (B,<.a.))
(B,<.a.),y9) is Element of the carrier of (B,<.a.))
h . x9 is Element of the carrier of B
x9 <=> a is Element of the carrier of B
x9 => a is Element of the carrier of B
a => x9 is Element of the carrier of B
(x9 => a) "/\" (a => x9) is Element of the carrier of B
the L_meet of B . ((x9 => a),(a => x9)) is Element of the carrier of B
[(x9 => a),(a => x9)] is set
{(x9 => a),(a => x9)} is set
{(x9 => a)} is set
{{(x9 => a),(a => x9)},{(x9 => a)}} is set
the L_meet of B . [(x9 => a),(a => x9)] is set
x9 "\/" (x9 <=> a) is Element of the carrier of B
the L_join of B . (x9,(x9 <=> a)) is Element of the carrier of B
[x9,(x9 <=> a)] is set
{x9,(x9 <=> a)} is set
{{x9,(x9 <=> a)},{x9}} is set
the L_join of B . [x9,(x9 <=> a)] is set
(x9 "\/" (x9 <=> a)) <=> x9 is Element of the carrier of B
(x9 "\/" (x9 <=> a)) => x9 is Element of the carrier of B
x9 => (x9 "\/" (x9 <=> a)) is Element of the carrier of B
((x9 "\/" (x9 <=> a)) => x9) "/\" (x9 => (x9 "\/" (x9 <=> a))) is Element of the carrier of B
the L_meet of B . (((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))) is Element of the carrier of B
[((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))] is set
{((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))} is set
{((x9 "\/" (x9 <=> a)) => x9)} is set
{{((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))},{((x9 "\/" (x9 <=> a)) => x9)}} is set
the L_meet of B . [((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))] is set
y9 <=> a is Element of the carrier of B
y9 => a is Element of the carrier of B
a => y9 is Element of the carrier of B
(y9 => a) "/\" (a => y9) is Element of the carrier of B
the L_meet of B . ((y9 => a),(a => y9)) is Element of the carrier of B
[(y9 => a),(a => y9)] is set
{(y9 => a),(a => y9)} is set
{(y9 => a)} is set
{{(y9 => a),(a => y9)},{(y9 => a)}} is set
the L_meet of B . [(y9 => a),(a => y9)] is set
y9 "\/" (y9 <=> a) is Element of the carrier of B
the L_join of B . (y9,(y9 <=> a)) is Element of the carrier of B
[y9,(y9 <=> a)] is set
{y9,(y9 <=> a)} is set
{y9} is set
{{y9,(y9 <=> a)},{y9}} is set
the L_join of B . [y9,(y9 <=> a)] is set
Class ((equivalence_wrt <.a.)),y9) is Element of bool the carrier of B
(y9 "\/" (y9 <=> a)) <=> y9 is Element of the carrier of B
(y9 "\/" (y9 <=> a)) => y9 is Element of the carrier of B
y9 => (y9 "\/" (y9 <=> a)) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) => y9) "/\" (y9 => (y9 "\/" (y9 <=> a))) is Element of the carrier of B
the L_meet of B . (((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))) is Element of the carrier of B
[((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))] is set
{((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))} is set
{((y9 "\/" (y9 <=> a)) => y9)} is set
{{((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))},{((y9 "\/" (y9 <=> a)) => y9)}} is set
the L_meet of B . [((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))] is set
y9 "\/" a is Element of the carrier of B
the L_join of B . (y9,a) is Element of the carrier of B
[y9,a] is set
{y9,a} is set
{{y9,a},{y9}} is set
the L_join of B . [y9,a] is set
x9 "\/" a is Element of the carrier of B
the L_join of B . (x9,a) is Element of the carrier of B
[x9,a] is set
{x9,a} is set
{{x9,a},{x9}} is set
the L_join of B . [x9,a] is set
h . y9 is Element of the carrier of B
Class ((equivalence_wrt <.a.)),x9) is Element of bool the carrier of B
h . x is set
h . y is set
g . x9 is set
hx is Element of the carrier of (latt <.a.))
hy is Element of the carrier of (latt <.a.))
((B,<.a.)),(latt <.a.)),(B,<.a.),x9),hx) is Element of the carrier of ((B,<.a.)),(latt <.a.)))
{(B,<.a.),x9),hx} is set
{(B,<.a.),x9)} is set
{{(B,<.a.),x9),hx},{(B,<.a.),x9)}} is set
((B,<.a.)),(latt <.a.)),(B,<.a.),y9),hy) is Element of the carrier of ((B,<.a.)),(latt <.a.)))
{(B,<.a.),y9),hy} is set
{(B,<.a.),y9)} is set
{{(B,<.a.),y9),hy},{(B,<.a.),y9)}} is set
g . y9 is set
f . y9 is set
[(g . y9),(h . y9)] is set
{(g . y9),(h . y9)} is set
{(g . y9)} is set
{{(g . y9),(h . y9)},{(g . y9)}} is set
f . x9 is set
[(g . x9),(h . x9)] is set
{(g . x9),(h . x9)} is set
{(g . x9)} is set
{{(g . x9),(h . x9)},{(g . x9)}} is set
x9 is Element of the carrier of B
h . x9 is Element of the carrier of B
x9 <=> a is Element of the carrier of B
x9 => a is Element of the carrier of B
a => x9 is Element of the carrier of B
(x9 => a) "/\" (a => x9) is Element of the carrier of B
the L_meet of B . ((x9 => a),(a => x9)) is Element of the carrier of B
[(x9 => a),(a => x9)] is set
{(x9 => a),(a => x9)} is set
{(x9 => a)} is set
{{(x9 => a),(a => x9)},{(x9 => a)}} is set
the L_meet of B . [(x9 => a),(a => x9)] is set
x9 "\/" (x9 <=> a) is Element of the carrier of B
the L_join of B . (x9,(x9 <=> a)) is Element of the carrier of B
[x9,(x9 <=> a)] is set
{x9,(x9 <=> a)} is set
{x9} is set
{{x9,(x9 <=> a)},{x9}} is set
the L_join of B . [x9,(x9 <=> a)] is set
(x9 "\/" (x9 <=> a)) <=> x9 is Element of the carrier of B
(x9 "\/" (x9 <=> a)) => x9 is Element of the carrier of B
x9 => (x9 "\/" (x9 <=> a)) is Element of the carrier of B
((x9 "\/" (x9 <=> a)) => x9) "/\" (x9 => (x9 "\/" (x9 <=> a))) is Element of the carrier of B
the L_meet of B . (((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))) is Element of the carrier of B
[((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))] is set
{((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))} is set
{((x9 "\/" (x9 <=> a)) => x9)} is set
{{((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))},{((x9 "\/" (x9 <=> a)) => x9)}} is set
the L_meet of B . [((x9 "\/" (x9 <=> a)) => x9),(x9 => (x9 "\/" (x9 <=> a)))] is set
y9 is Element of the carrier of B
f . y9 is set
g . y9 is set
h . y9 is Element of the carrier of B
[(g . y9),(h . y9)] is set
{(g . y9),(h . y9)} is set
{(g . y9)} is set
{{(g . y9),(h . y9)},{(g . y9)}} is set
(B,<.a.),y9) is Element of the carrier of (B,<.a.))
Class ((equivalence_wrt <.a.)),y9) is Element of bool the carrier of B
Class ((equivalence_wrt <.a.)),x9) is Element of bool the carrier of B
g . x9 is set
y9 <=> a is Element of the carrier of B
y9 => a is Element of the carrier of B
a => y9 is Element of the carrier of B
(y9 => a) "/\" (a => y9) is Element of the carrier of B
the L_meet of B . ((y9 => a),(a => y9)) is Element of the carrier of B
[(y9 => a),(a => y9)] is set
{(y9 => a),(a => y9)} is set
{(y9 => a)} is set
{{(y9 => a),(a => y9)},{(y9 => a)}} is set
the L_meet of B . [(y9 => a),(a => y9)] is set
y9 "\/" (y9 <=> a) is Element of the carrier of B
the L_join of B . (y9,(y9 <=> a)) is Element of the carrier of B
[y9,(y9 <=> a)] is set
{y9,(y9 <=> a)} is set
{y9} is set
{{y9,(y9 <=> a)},{y9}} is set
the L_join of B . [y9,(y9 <=> a)] is set
(y9 "\/" (y9 <=> a)) <=> y9 is Element of the carrier of B
(y9 "\/" (y9 <=> a)) => y9 is Element of the carrier of B
y9 => (y9 "\/" (y9 <=> a)) is Element of the carrier of B
((y9 "\/" (y9 <=> a)) => y9) "/\" (y9 => (y9 "\/" (y9 <=> a))) is Element of the carrier of B
the L_meet of B . (((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))) is Element of the carrier of B
[((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))] is set
{((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))} is set
{((y9 "\/" (y9 <=> a)) => y9)} is set
{{((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))},{((y9 "\/" (y9 <=> a)) => y9)}} is set
the L_meet of B . [((y9 "\/" (y9 <=> a)) => y9),(y9 => (y9 "\/" (y9 <=> a)))] is set
y9 "\/" a is Element of the carrier of B
the L_join of B . (y9,a) is Element of the carrier of B
[y9,a] is set
{y9,a} is set
{{y9,a},{y9}} is set
the L_join of B . [y9,a] is set
x9 "\/" a is Element of the carrier of B
the L_join of B . (x9,a) is Element of the carrier of B
[x9,a] is set
{x9,a} is set
{{x9,a},{x9}} is set
the L_join of B . [x9,a] is set
y9 "/\" x9 is Element of the carrier of B
the L_meet of B . (y9,x9) is Element of the carrier of B
[y9,x9] is set
{y9,x9} is set
{{y9,x9},{y9}} is set
the L_meet of B . [y9,x9] is set
h . x is set
h . y is set
f . x9 is set
[(g . x9),(h . x9)] is set
{(g . x9),(h . x9)} is set
{(g . x9)} is set
{{(g . x9),(h . x9)},{(g . x9)}} is set
(B,<.a.),x9) is Element of the carrier of (B,<.a.))
hx is Element of the carrier of (latt <.a.))
((B,<.a.)),(latt <.a.)),(B,<.a.),x9),hx) is Element of the carrier of ((B,<.a.)),(latt <.a.)))
{(B,<.a.),x9),hx} is set
{(B,<.a.),x9)} is set
{{(B,<.a.),x9),hx},{(B,<.a.),x9)}} is set
hy is Element of the carrier of (latt <.a.))
((B,<.a.)),(latt <.a.)),(B,<.a.),y9),hy) is Element of the carrier of ((B,<.a.)),(latt <.a.)))
{(B,<.a.),y9),hy} is set
{(B,<.a.),y9)} is set
{{(B,<.a.),y9),hy},{(B,<.a.),y9)}} is set
x9 => y9 is Element of the carrier of B
x9 ` is Element of the carrier of B
(x9 `) "\/" y9 is Element of the carrier of B
the L_join of B . ((x9 `),y9) is Element of the carrier of B
[(x9 `),y9] is set
{(x9 `),y9} is set
{(x9 `)} is set
{{(x9 `),y9},{(x9 `)}} is set
the L_join of B . [(x9 `),y9] is set
x9 "/\" a is Element of the carrier of B
the L_meet of B . (x9,a) is Element of the carrier of B
the L_meet of B . [x9,a] is set
x9 "/\" ((x9 `) "\/" y9) is Element of the carrier of B
the L_meet of B . (x9,((x9 `) "\/" y9)) is Element of the carrier of B
[x9,((x9 `) "\/" y9)] is set
{x9,((x9 `) "\/" y9)} is set
{{x9,((x9 `) "\/" y9)},{x9}} is set
the L_meet of B . [x9,((x9 `) "\/" y9)] is set
Bottom B is Element of the carrier of B
x9 "/\" y9 is Element of the carrier of B
the L_meet of B . (x9,y9) is Element of the carrier of B
[x9,y9] is set
{x9,y9} is set
{{x9,y9},{x9}} is set
the L_meet of B . [x9,y9] is set
(Bottom B) "\/" (x9 "/\" y9) is Element of the carrier of B
the L_join of B . ((Bottom B),(x9 "/\" y9)) is Element of the carrier of B
[(Bottom B),(x9 "/\" y9)] is set
{(Bottom B),(x9 "/\" y9)} is set
{(Bottom B)} is set
{{(Bottom B),(x9 "/\" y9)},{(Bottom B)}} is set
the L_join of B . [(Bottom B),(x9 "/\" y9)] is set
x9 "/\" (x9 "\/" a) is Element of the carrier of B
the L_meet of B . (x9,(x9 "\/" a)) is Element of the carrier of B
[x9,(x9 "\/" a)] is set
{x9,(x9 "\/" a)} is set
{{x9,(x9 "\/" a)},{x9}} is set
the L_meet of B . [x9,(x9 "\/" a)] is set
x9 "/\" (y9 "\/" a) is Element of the carrier of B
the L_meet of B . (x9,(y9 "\/" a)) is Element of the carrier of B
[x9,(y9 "\/" a)] is set
{x9,(y9 "\/" a)} is set
{{x9,(y9 "\/" a)},{x9}} is set
the L_meet of B . [x9,(y9 "\/" a)] is set
x9 "/\" (x9 `) is Element of the carrier of B
the L_meet of B . (x9,(x9 `)) is Element of the carrier of B
[x9,(x9 `)] is set
{x9,(x9 `)} is set
{{x9,(x9 `)},{x9}} is set
the L_meet of B . [x9,(x9 `)] is set
(x9 "/\" (x9 `)) "\/" (x9 "/\" y9) is Element of the carrier of B
the L_join of B . ((x9 "/\" (x9 `)),(x9 "/\" y9)) is Element of the carrier of B
[(x9 "/\" (x9 `)),(x9 "/\" y9)] is set
{(x9 "/\" (x9 `)),(x9 "/\" y9)} is set
{(x9 "/\" (x9 `))} is set
{{(x9 "/\" (x9 `)),(x9 "/\" y9)},{(x9 "/\" (x9 `))}} is set
the L_join of B . [(x9 "/\" (x9 `)),(x9 "/\" y9)] is set
(x9 "/\" y9) "\/" (x9 "/\" a) is Element of the carrier of B
the L_join of B . ((x9 "/\" y9),(x9 "/\" a)) is Element of the carrier of B
[(x9 "/\" y9),(x9 "/\" a)] is set
{(x9 "/\" y9),(x9 "/\" a)} is set
{(x9 "/\" y9)} is set
{{(x9 "/\" y9),(x9 "/\" a)},{(x9 "/\" y9)}} is set
the L_join of B . [(x9 "/\" y9),(x9 "/\" a)] is set