REAL is set
NAT is non empty V8() V9() V10() Element of K20(REAL)
K20(REAL) is set
NAT is non empty V8() V9() V10() set
K20(NAT) is set
K20(NAT) is set
1 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
2 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
3 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
0 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
the ext-real V4() empty V8() V9() V10() V12() V13() V14() V15() functional FinSequence-membered set is ext-real V4() empty V8() V9() V10() V12() V13() V14() V15() functional FinSequence-membered set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
'not' H is Element of QC-WFF A
[1,0] is V27() set
{1,0} is set
{1} is set
{{1,0},{1}} is set
<*[1,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_argument_of ('not' H) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
H '&' G is Element of QC-WFF A
[2,0] is V27() set
{2,0} is set
{2} is set
{{2,0},{2}} is set
<*[2,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F is Element of QC-WFF A
F '&' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ F)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ H) ^ (@ G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ ((@ H) ^ (@ G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ F) ^ (@ F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ ((@ F) ^ (@ F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len (@ F) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ H) ^ F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ F) ^ k is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ H) ^ F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ F) ^ F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(@ H) ^ k is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_left_argument_of H is Element of QC-WFF A
the_right_argument_of H is Element of QC-WFF A
(the_left_argument_of H) '&' (the_right_argument_of H) is Element of QC-WFF A
[2,0] is V27() set
{2,0} is set
{2} is set
{{2,0},{2}} is set
<*[2,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
@ (the_left_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ (the_left_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (the_right_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (the_left_argument_of H))) ^ (@ (the_right_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
F is Element of QC-WFF A
G '&' F is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
H '&' G is Element of QC-WFF A
[2,0] is V27() set
{2,0} is set
{2} is set
{{2,0},{2}} is set
<*[2,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_left_argument_of (H '&' G) is Element of QC-WFF A
the_right_argument_of (H '&' G) is Element of QC-WFF A
A is QC-alphabet
QC-variables A is set
6 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{6} is set
K21({6},NAT) is set
4 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
5 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{4,5} is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
{4} is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
All (H,F) is Element of QC-WFF A
[3,0] is V27() set
{3,0} is set
{3} is set
{{3,0},{3}} is set
<*[3,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*H*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
All (G,F) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
<*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*H*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
<*H*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
<*[3,0]*> ^ (<*H*> ^ (@ F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
<*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
<*G*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
<*[3,0]*> ^ (<*G*> ^ (@ F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*H*> ^ (@ F)) . 1 is set
(<*G*> ^ (@ F)) . 1 is set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
bound_in H is Element of bound_QC-variables A
QC-variables A is set
6 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{6} is set
K21({6},NAT) is set
4 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
5 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{4,5} is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
{4} is set
K21({4},(QC-symbols A)) is set
the_scope_of H is Element of QC-WFF A
All ((bound_in H),(the_scope_of H)) is Element of QC-WFF A
[3,0] is V27() set
{3,0} is set
{3} is set
{{3,0},{3}} is set
<*[3,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
<*(bound_in H)*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ (the_scope_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*(bound_in H)*>) ^ (@ (the_scope_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of bound_QC-variables A
F is Element of QC-WFF A
All (G,F) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
6 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{6} is set
K21({6},NAT) is set
4 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
5 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{4,5} is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
{4} is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of QC-WFF A
All (H,G) is Element of QC-WFF A
[3,0] is V27() set
{3,0} is set
{3} is set
{{3,0},{3}} is set
<*[3,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*H*>) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
bound_in (All (H,G)) is Element of bound_QC-variables A
the_scope_of (All (H,G)) is Element of QC-WFF A
All ((bound_in (All (H,G))),(the_scope_of (All (H,G)))) is Element of QC-WFF A
<*(bound_in (All (H,G)))*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*(bound_in (All (H,G)))*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (the_scope_of (All (H,G))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*(bound_in (All (H,G)))*>) ^ (@ (the_scope_of (All (H,G)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
VERUM A is Element of QC-WFF A
QC-WFF A is non empty set
[0,0] is V27() set
{0,0} is set
{0} is set
{{0,0},{0}} is set
<*[0,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
'not' (VERUM A) is Element of QC-WFF A
[1,0] is V27() set
{1,0} is set
{1} is set
{{1,0},{1}} is set
<*[1,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
@ (VERUM A) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (VERUM A)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H is Element of QC-WFF A
G is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
[2,0] is V27() set
{2,0} is set
{2} is set
{{2,0},{2}} is set
<*[2,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' H is Element of QC-WFF A
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' H) '&' ('not' G) is Element of QC-WFF A
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ ('not' H))) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' H) '&' ('not' G)) is Element of QC-WFF A
@ (('not' H) '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' H) '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,H) is Element of QC-WFF A
'not' H is Element of QC-WFF A
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' H) is Element of QC-WFF A
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' H)) is Element of QC-WFF A
@ (G '&' ('not' H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,G) '&' (A,G,H) is Element of QC-WFF A
@ (A,H,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,H,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,G,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H,G))) ^ (@ (A,G,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
6 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{6} is set
K21({6},NAT) is set
4 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
5 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{4,5} is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
{4} is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' G)) is Element of QC-WFF A
[3,0] is V27() set
{3,0} is set
{3} is set
{{3,0},{3}} is set
<*[3,0]*> is non empty Relation-like NAT -defined Function-like V33() V40(1) FinSequence-like FinSubsequence-like set
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' G))) is Element of QC-WFF A
@ (All (H,('not' G))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' G)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
(A) is Element of QC-WFF A
QC-WFF A is non empty set
VERUM A is Element of QC-WFF A
'not' (VERUM A) is Element of QC-WFF A
@ (VERUM A) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (VERUM A)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H is QC-alphabet
(H) is Element of QC-WFF H
QC-WFF H is non empty set
VERUM H is Element of QC-WFF H
'not' (VERUM H) is Element of QC-WFF H
@ (VERUM H) is Relation-like NAT -defined K21(NAT,(QC-symbols H)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols H))
QC-symbols H is non empty set
rng H is set
K21(NAT,(QC-symbols H)) is set
<*[1,0]*> ^ (@ (VERUM H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_argument_of (H) is Element of QC-WFF H
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' H) '&' ('not' G) is Element of QC-WFF A
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' H))) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' H) '&' ('not' G)) is Element of QC-WFF A
@ (('not' H) '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' H) '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,('not' H),G) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' H) '&' ('not' G) is Element of QC-WFF A
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' H))) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' H) '&' ('not' G)) is Element of QC-WFF A
@ (('not' H) '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' H) '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' F) '&' ('not' F) is Element of QC-WFF A
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' F))) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' F) '&' ('not' F)) is Element of QC-WFF A
@ (('not' F) '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' F) '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' ('not' F) is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ F)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (F '&' ('not' F)) is Element of QC-WFF A
@ (F '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (F '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,H) is Element of QC-WFF A
'not' H is Element of QC-WFF A
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' H) is Element of QC-WFF A
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' H)) is Element of QC-WFF A
@ (G '&' ('not' H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,G) '&' (A,G,H) is Element of QC-WFF A
@ (A,H,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,H,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,G,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H,G))) ^ (@ (A,G,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' ('not' F) is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ F)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (F '&' ('not' F)) is Element of QC-WFF A
@ (F '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (F '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' ('not' F) is Element of QC-WFF A
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ F)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (F '&' ('not' F)) is Element of QC-WFF A
@ (F '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (F '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,F) '&' (A,F,F) is Element of QC-WFF A
@ (A,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,F,F))) ^ (@ (A,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' F)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' F))) is Element of QC-WFF A
@ (All (H,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' F)) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' F))) is Element of QC-WFF A
@ (All (G,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
All (G,F) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(All (G,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (All (G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' F)) is Element of QC-WFF A
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' F))) is Element of QC-WFF A
@ (All (G,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,(A,G,F)) is Element of QC-WFF A
'not' (A,G,F) is Element of QC-WFF A
@ (A,G,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,G,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' (A,G,F))) is Element of QC-WFF A
@ ('not' (A,G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' (A,G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' (A,G,F)))) is Element of QC-WFF A
@ (All (H,('not' (A,G,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' (A,G,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
F is QC-alphabet
QC-variables F is set
QC-symbols F is non empty set
rng F is set
K21({4,5},(QC-symbols F)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols F)) is set
bound_QC-variables F is Element of K20((QC-variables F))
K20((QC-variables F)) is set
K21({4},(QC-symbols F)) is set
QC-WFF F is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F) is Element of QC-WFF A
All (G,F) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(All (G,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (All (G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables F
k is Element of bound_QC-variables F
k is Element of QC-WFF F
(F,F,k,k) is Element of QC-WFF F
(F,k,k) is Element of QC-WFF F
'not' k is Element of QC-WFF F
@ k is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
K21(NAT,(QC-symbols F)) is set
<*[1,0]*> ^ (@ k) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' k)) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' k) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' k)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' k))) is Element of QC-WFF F
@ (All (k,('not' k))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (k,('not' k)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(F,F,(F,k,k)) is Element of QC-WFF F
'not' (F,k,k) is Element of QC-WFF F
@ (F,k,k) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (F,k,k)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (F,k,k))) is Element of QC-WFF F
<*F*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (F,k,k)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (F,k,k))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (F,k,k)))) is Element of QC-WFF F
@ (All (F,('not' (F,k,k)))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (F,('not' (F,k,k))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
F is Element of bound_QC-variables A
(A,F,F,H) is Element of QC-WFF A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,(All (F,H))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ (All (F,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
k is Element of bound_QC-variables A
(A,F,k,G) is Element of QC-WFF A
All (k,G) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,(All (k,G))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (k,G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ (All (k,G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F) is Element of QC-WFF A
All (G,F) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(All (G,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (All (G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
F is Element of QC-WFF A
All (F,F) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
F is Element of bound_QC-variables A
(A,F,F,H) is Element of QC-WFF A
(A,F,H) is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' H)) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' H))) is Element of QC-WFF A
@ (All (F,('not' H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,(A,F,H)) is Element of QC-WFF A
'not' (A,F,H) is Element of QC-WFF A
@ (A,F,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,F,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (A,F,H))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,F,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (A,F,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (A,F,H)))) is Element of QC-WFF A
@ (All (F,('not' (A,F,H)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' (A,F,H))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
k is Element of bound_QC-variables A
(A,F,k,G) is Element of QC-WFF A
(A,k,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' G)) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' G))) is Element of QC-WFF A
@ (All (k,('not' G))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (k,('not' G)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,(A,k,G)) is Element of QC-WFF A
'not' (A,k,G) is Element of QC-WFF A
@ (A,k,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,k,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (A,k,G))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,k,G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (A,k,G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (A,k,G)))) is Element of QC-WFF A
@ (All (F,('not' (A,k,G)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' (A,k,G))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F) is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' F)) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' F))) is Element of QC-WFF A
@ (All (G,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,(A,G,F)) is Element of QC-WFF A
'not' (A,G,F) is Element of QC-WFF A
@ (A,G,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,G,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' (A,G,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' (A,G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' (A,G,F)))) is Element of QC-WFF A
@ (All (H,('not' (A,G,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' (A,G,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' F)) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' F))) is Element of QC-WFF A
@ (All (F,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
F is QC-alphabet
QC-variables F is set
QC-symbols F is non empty set
rng F is set
K21({4,5},(QC-symbols F)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols F)) is set
bound_QC-variables F is Element of K20((QC-variables F))
K20((QC-variables F)) is set
K21({4},(QC-symbols F)) is set
QC-WFF F is non empty set
L1 is QC-alphabet
QC-variables L1 is set
QC-symbols L1 is non empty set
rng L1 is set
K21({4,5},(QC-symbols L1)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols L1)) is set
bound_QC-variables L1 is Element of K20((QC-variables L1))
K20((QC-variables L1)) is set
K21({4},(QC-symbols L1)) is set
QC-WFF L1 is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F) is Element of QC-WFF A
All (G,F) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*G*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(All (G,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (All (G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables F
k is Element of bound_QC-variables F
k is Element of QC-WFF F
(F,F,k,k) is Element of QC-WFF F
All (k,k) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ k is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
K21(NAT,(QC-symbols F)) is set
(<*[3,0]*> ^ <*k*>) ^ (@ k) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,(All (k,k))) is Element of QC-WFF F
<*F*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (k,k)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*F*>) ^ (@ (All (k,k))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
bound_in (F,F,k,k) is Element of bound_QC-variables F
m is Element of bound_QC-variables L1
F1 is Element of bound_QC-variables L1
G1 is Element of QC-WFF L1
(L1,m,F1,G1) is Element of QC-WFF L1
All (F1,G1) is Element of QC-WFF L1
<*F1*> is non empty Relation-like NAT -defined bound_QC-variables L1 -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables L1
<*[3,0]*> ^ <*F1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ G1 is Relation-like NAT -defined K21(NAT,(QC-symbols L1)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols L1))
K21(NAT,(QC-symbols L1)) is set
(<*[3,0]*> ^ <*F1*>) ^ (@ G1) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (m,(All (F1,G1))) is Element of QC-WFF L1
<*m*> is non empty Relation-like NAT -defined bound_QC-variables L1 -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables L1
<*[3,0]*> ^ <*m*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F1,G1)) is Relation-like NAT -defined K21(NAT,(QC-symbols L1)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols L1))
(<*[3,0]*> ^ <*m*>) ^ (@ (All (F1,G1))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_scope_of (L1,m,F1,G1) is Element of QC-WFF L1
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
All (F,F) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,(All (F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ (All (F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(A,G,F,F)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,F,F) is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' F)) is Element of QC-WFF A
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' F))) is Element of QC-WFF A
@ (All (F,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,(A,F,F)) is Element of QC-WFF A
'not' (A,F,F) is Element of QC-WFF A
@ (A,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' (A,F,F))) is Element of QC-WFF A
@ ('not' (A,F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' (A,F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' (A,F,F)))) is Element of QC-WFF A
@ (All (G,('not' (A,F,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' (A,F,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,(A,G,F,F)) is Element of QC-WFF A
'not' (A,G,F,F) is Element of QC-WFF A
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' (A,G,F,F))) is Element of QC-WFF A
@ ('not' (A,G,F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' (A,G,F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' (A,G,F,F)))) is Element of QC-WFF A
@ (All (H,('not' (A,G,F,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' (A,G,F,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
F is QC-alphabet
QC-variables F is set
QC-symbols F is non empty set
rng F is set
K21({4,5},(QC-symbols F)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols F)) is set
bound_QC-variables F is Element of K20((QC-variables F))
K20((QC-variables F)) is set
K21({4},(QC-symbols F)) is set
QC-WFF F is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F,F) is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
All (F,F) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,(All (F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ (All (F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(A,G,F,F)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Element of bound_QC-variables F
k is Element of bound_QC-variables F
L1 is Element of bound_QC-variables F
m is Element of QC-WFF F
(F,k,k,L1,m) is Element of QC-WFF F
(F,k,L1,m) is Element of QC-WFF F
(F,L1,m) is Element of QC-WFF F
'not' m is Element of QC-WFF F
@ m is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
K21(NAT,(QC-symbols F)) is set
<*[1,0]*> ^ (@ m) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (L1,('not' m)) is Element of QC-WFF F
<*L1*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*L1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' m) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*L1*>) ^ (@ ('not' m)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (L1,('not' m))) is Element of QC-WFF F
@ (All (L1,('not' m))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (L1,('not' m)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(F,k,(F,L1,m)) is Element of QC-WFF F
'not' (F,L1,m) is Element of QC-WFF F
@ (F,L1,m) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (F,L1,m)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' (F,L1,m))) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (F,L1,m)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' (F,L1,m))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' (F,L1,m)))) is Element of QC-WFF F
@ (All (k,('not' (F,L1,m)))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (k,('not' (F,L1,m))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(F,k,(F,k,L1,m)) is Element of QC-WFF F
'not' (F,k,L1,m) is Element of QC-WFF F
@ (F,k,L1,m) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (F,k,L1,m)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' (F,k,L1,m))) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (F,k,L1,m)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' (F,k,L1,m))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' (F,k,L1,m)))) is Element of QC-WFF F
@ (All (k,('not' (F,k,L1,m)))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (k,('not' (F,k,L1,m))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
F is Element of bound_QC-variables A
k is Element of bound_QC-variables A
(A,F,F,k,H) is Element of QC-WFF A
(A,F,k,H) is Element of QC-WFF A
All (k,H) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*k*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,(All (k,H))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (k,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ (All (k,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,(A,F,k,H)) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,F,k,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ (A,F,k,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
k is Element of bound_QC-variables A
L1 is Element of bound_QC-variables A
(A,F,k,L1,G) is Element of QC-WFF A
(A,k,L1,G) is Element of QC-WFF A
All (L1,G) is Element of QC-WFF A
<*L1*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*L1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*L1*>) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,(All (L1,G))) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (L1,G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ (All (L1,G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,(A,k,L1,G)) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,k,L1,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ (A,k,L1,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F,F) is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
All (F,F) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,(All (F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ (All (F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(A,G,F,F)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Element of bound_QC-variables A
F is Element of QC-WFF A
All (k,F) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F,F) is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
All (F,F) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,(All (F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ (All (F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(A,G,F,F)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
k is Element of bound_QC-variables A
k is Element of bound_QC-variables A
(A,k,k,F) is Element of QC-WFF A
All (k,F) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,(All (k,F))) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (k,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ (All (k,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
F is Element of bound_QC-variables A
k is Element of bound_QC-variables A
(A,F,F,k,H) is Element of QC-WFF A
(A,F,k,H) is Element of QC-WFF A
(A,k,H) is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' H)) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' H))) is Element of QC-WFF A
@ (All (k,('not' H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (k,('not' H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,(A,k,H)) is Element of QC-WFF A
'not' (A,k,H) is Element of QC-WFF A
@ (A,k,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,k,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (A,k,H))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,k,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (A,k,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (A,k,H)))) is Element of QC-WFF A
@ (All (F,('not' (A,k,H)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' (A,k,H))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,(A,F,k,H)) is Element of QC-WFF A
'not' (A,F,k,H) is Element of QC-WFF A
@ (A,F,k,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,F,k,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (A,F,k,H))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,F,k,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (A,F,k,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (A,F,k,H)))) is Element of QC-WFF A
@ (All (F,('not' (A,F,k,H)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' (A,F,k,H))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
k is Element of bound_QC-variables A
L1 is Element of bound_QC-variables A
(A,F,k,L1,G) is Element of QC-WFF A
(A,k,L1,G) is Element of QC-WFF A
(A,L1,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (L1,('not' G)) is Element of QC-WFF A
<*L1*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*L1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*L1*>) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (L1,('not' G))) is Element of QC-WFF A
@ (All (L1,('not' G))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (L1,('not' G)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,k,(A,L1,G)) is Element of QC-WFF A
'not' (A,L1,G) is Element of QC-WFF A
@ (A,L1,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,L1,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' (A,L1,G))) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,L1,G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' (A,L1,G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' (A,L1,G)))) is Element of QC-WFF A
@ (All (k,('not' (A,L1,G)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (k,('not' (A,L1,G))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,(A,k,L1,G)) is Element of QC-WFF A
'not' (A,k,L1,G) is Element of QC-WFF A
@ (A,k,L1,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,k,L1,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (A,k,L1,G))) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,k,L1,G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (A,k,L1,G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (A,k,L1,G)))) is Element of QC-WFF A
@ (All (F,('not' (A,k,L1,G)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' (A,k,L1,G))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F,F) is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' F)) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' F))) is Element of QC-WFF A
@ (All (F,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,(A,F,F)) is Element of QC-WFF A
'not' (A,F,F) is Element of QC-WFF A
@ (A,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' (A,F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' (A,F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' (A,F,F)))) is Element of QC-WFF A
@ (All (G,('not' (A,F,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' (A,F,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,(A,G,F,F)) is Element of QC-WFF A
'not' (A,G,F,F) is Element of QC-WFF A
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' (A,G,F,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,G,F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' (A,G,F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' (A,G,F,F)))) is Element of QC-WFF A
@ (All (H,('not' (A,G,F,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' (A,G,F,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,k,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' F)) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' F))) is Element of QC-WFF A
@ (All (k,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (k,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F,F) is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
(A,F,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' F)) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' F))) is Element of QC-WFF A
@ (All (F,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (F,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,(A,F,F)) is Element of QC-WFF A
'not' (A,F,F) is Element of QC-WFF A
@ (A,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' (A,F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' (A,F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' (A,F,F)))) is Element of QC-WFF A
@ (All (G,('not' (A,F,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' (A,F,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,(A,G,F,F)) is Element of QC-WFF A
'not' (A,G,F,F) is Element of QC-WFF A
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' (A,G,F,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,G,F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' (A,G,F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' (A,G,F,F)))) is Element of QC-WFF A
@ (All (H,('not' (A,G,F,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' (A,G,F,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
k is Element of bound_QC-variables A
k is Element of bound_QC-variables A
(A,k,k,F) is Element of QC-WFF A
(A,k,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' F)) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' F))) is Element of QC-WFF A
@ (All (k,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (k,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,k,(A,k,F)) is Element of QC-WFF A
'not' (A,k,F) is Element of QC-WFF A
@ (A,k,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,k,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' (A,k,F))) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,k,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' (A,k,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' (A,k,F)))) is Element of QC-WFF A
@ (All (k,('not' (A,k,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (k,('not' (A,k,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
F is QC-alphabet
QC-variables F is set
QC-symbols F is non empty set
rng F is set
K21({4,5},(QC-symbols F)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols F)) is set
bound_QC-variables F is Element of K20((QC-variables F))
K20((QC-variables F)) is set
K21({4},(QC-symbols F)) is set
QC-WFF F is non empty set
F1 is QC-alphabet
QC-variables F1 is set
QC-symbols F1 is non empty set
rng F1 is set
K21({4,5},(QC-symbols F1)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols F1)) is set
bound_QC-variables F1 is Element of K20((QC-variables F1))
K20((QC-variables F1)) is set
K21({4},(QC-symbols F1)) is set
QC-WFF F1 is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F,F) is Element of QC-WFF A
(A,G,F,F) is Element of QC-WFF A
All (F,F) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,(All (F,F))) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ (All (F,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,(A,G,F,F)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (A,G,F,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ (A,G,F,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Element of bound_QC-variables F
k is Element of bound_QC-variables F
L1 is Element of bound_QC-variables F
m is Element of QC-WFF F
(F,k,k,L1,m) is Element of QC-WFF F
(F,k,L1,m) is Element of QC-WFF F
All (L1,m) is Element of QC-WFF F
<*L1*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*L1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ m is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
K21(NAT,(QC-symbols F)) is set
(<*[3,0]*> ^ <*L1*>) ^ (@ m) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,(All (L1,m))) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (L1,m)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ (All (L1,m))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,(F,k,L1,m)) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (F,k,L1,m) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ (F,k,L1,m)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
bound_in (F,k,k,L1,m) is Element of bound_QC-variables F
G1 is Element of bound_QC-variables F1
j is Element of bound_QC-variables F1
F1 is Element of bound_QC-variables F1
G1 is Element of QC-WFF F1
(F1,G1,j,F1,G1) is Element of QC-WFF F1
(F1,j,F1,G1) is Element of QC-WFF F1
All (F1,G1) is Element of QC-WFF F1
<*F1*> is non empty Relation-like NAT -defined bound_QC-variables F1 -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F1
<*[3,0]*> ^ <*F1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ G1 is Relation-like NAT -defined K21(NAT,(QC-symbols F1)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F1))
K21(NAT,(QC-symbols F1)) is set
(<*[3,0]*> ^ <*F1*>) ^ (@ G1) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (j,(All (F1,G1))) is Element of QC-WFF F1
<*j*> is non empty Relation-like NAT -defined bound_QC-variables F1 -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F1
<*[3,0]*> ^ <*j*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (All (F1,G1)) is Relation-like NAT -defined K21(NAT,(QC-symbols F1)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F1))
(<*[3,0]*> ^ <*j*>) ^ (@ (All (F1,G1))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G1,(F1,j,F1,G1)) is Element of QC-WFF F1
<*G1*> is non empty Relation-like NAT -defined bound_QC-variables F1 -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F1
<*[3,0]*> ^ <*G1*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (F1,j,F1,G1) is Relation-like NAT -defined K21(NAT,(QC-symbols F1)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F1))
(<*[3,0]*> ^ <*G1*>) ^ (@ (F1,j,F1,G1)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_scope_of (F1,G1,j,F1,G1) is Element of QC-WFF F1
A is QC-alphabet
QC-WFF A is non empty set
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
F is QC-alphabet
QC-variables F is set
QC-symbols F is non empty set
rng F is set
K21({4,5},(QC-symbols F)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols F)) is set
bound_QC-variables F is Element of K20((QC-variables F))
K20((QC-variables F)) is set
K21({4},(QC-symbols F)) is set
QC-WFF F is non empty set
H is Element of bound_QC-variables A
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,H,G,F) is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' F)) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' F))) is Element of QC-WFF A
@ (All (G,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,(A,G,F)) is Element of QC-WFF A
'not' (A,G,F) is Element of QC-WFF A
@ (A,G,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,G,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' (A,G,F))) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (A,G,F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' (A,G,F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' (A,G,F)))) is Element of QC-WFF A
@ (All (H,('not' (A,G,F)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' (A,G,F))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables F
k is Element of bound_QC-variables F
k is Element of bound_QC-variables F
L1 is Element of QC-WFF F
(F,F,k,k,L1) is Element of QC-WFF F
(F,k,k,L1) is Element of QC-WFF F
(F,k,L1) is Element of QC-WFF F
'not' L1 is Element of QC-WFF F
@ L1 is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
K21(NAT,(QC-symbols F)) is set
<*[1,0]*> ^ (@ L1) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' L1)) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' L1) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' L1)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' L1))) is Element of QC-WFF F
@ (All (k,('not' L1))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (k,('not' L1)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(F,k,(F,k,L1)) is Element of QC-WFF F
'not' (F,k,L1) is Element of QC-WFF F
@ (F,k,L1) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (F,k,L1)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (k,('not' (F,k,L1))) is Element of QC-WFF F
<*k*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (F,k,L1)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*k*>) ^ (@ ('not' (F,k,L1))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (k,('not' (F,k,L1)))) is Element of QC-WFF F
@ (All (k,('not' (F,k,L1)))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (k,('not' (F,k,L1))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(F,F,(F,k,k,L1)) is Element of QC-WFF F
'not' (F,k,k,L1) is Element of QC-WFF F
@ (F,k,k,L1) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (F,k,k,L1)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (F,('not' (F,k,k,L1))) is Element of QC-WFF F
<*F*> is non empty Relation-like NAT -defined bound_QC-variables F -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables F
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (F,k,k,L1)) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
(<*[3,0]*> ^ <*F*>) ^ (@ ('not' (F,k,k,L1))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (F,('not' (F,k,k,L1)))) is Element of QC-WFF F
@ (All (F,('not' (F,k,k,L1)))) is Relation-like NAT -defined K21(NAT,(QC-symbols F)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols F))
<*[1,0]*> ^ (@ (All (F,('not' (F,k,k,L1))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
the_left_argument_of (the_argument_of H) is Element of QC-WFF A
the_argument_of (the_left_argument_of (the_argument_of H)) is Element of QC-WFF A
the_right_argument_of (the_argument_of H) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of H)) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_left_argument_of H is Element of QC-WFF A
(A,(the_left_argument_of H)) is Element of QC-WFF A
the_argument_of (the_left_argument_of H) is Element of QC-WFF A
the_left_argument_of (the_argument_of (the_left_argument_of H)) is Element of QC-WFF A
(A,(the_left_argument_of H)) is Element of QC-WFF A
the_right_argument_of (the_argument_of (the_left_argument_of H)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of (the_left_argument_of H))) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' H) '&' ('not' G) is Element of QC-WFF A
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' H))) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' H) '&' ('not' G)) is Element of QC-WFF A
@ (('not' H) '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' H) '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H,G)) is Element of QC-WFF A
the_argument_of (A,H,G) is Element of QC-WFF A
the_left_argument_of (the_argument_of (A,H,G)) is Element of QC-WFF A
the_argument_of (the_left_argument_of (the_argument_of (A,H,G))) is Element of QC-WFF A
(A,(A,H,G)) is Element of QC-WFF A
the_right_argument_of (the_argument_of (A,H,G)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of (A,H,G))) is Element of QC-WFF A
the_left_argument_of (('not' H) '&' ('not' G)) is Element of QC-WFF A
the_argument_of (the_left_argument_of (('not' H) '&' ('not' G))) is Element of QC-WFF A
the_argument_of ('not' H) is Element of QC-WFF A
the_right_argument_of (('not' H) '&' ('not' G)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (('not' H) '&' ('not' G))) is Element of QC-WFF A
the_argument_of ('not' G) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H,G)) is Element of QC-WFF A
the_argument_of (A,H,G) is Element of QC-WFF A
the_left_argument_of (the_argument_of (A,H,G)) is Element of QC-WFF A
(A,(A,H,G)) is Element of QC-WFF A
the_right_argument_of (the_argument_of (A,H,G)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of (A,H,G))) is Element of QC-WFF A
the_left_argument_of (H '&' ('not' G)) is Element of QC-WFF A
the_right_argument_of (H '&' ('not' G)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (H '&' ('not' G))) is Element of QC-WFF A
the_argument_of ('not' G) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,H) is Element of QC-WFF A
'not' H is Element of QC-WFF A
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' H) is Element of QC-WFF A
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' H)) is Element of QC-WFF A
@ (G '&' ('not' H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,G) '&' (A,G,H) is Element of QC-WFF A
@ (A,H,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,H,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,G,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H,G))) ^ (@ (A,G,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H,G)) is Element of QC-WFF A
the_left_argument_of (A,H,G) is Element of QC-WFF A
(A,(the_left_argument_of (A,H,G))) is Element of QC-WFF A
the_argument_of (the_left_argument_of (A,H,G)) is Element of QC-WFF A
the_left_argument_of (the_argument_of (the_left_argument_of (A,H,G))) is Element of QC-WFF A
(A,(A,H,G)) is Element of QC-WFF A
(A,(the_left_argument_of (A,H,G))) is Element of QC-WFF A
the_right_argument_of (the_argument_of (the_left_argument_of (A,H,G))) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of (the_left_argument_of (A,H,G)))) is Element of QC-WFF A
the_right_argument_of (A,H,G) is Element of QC-WFF A
(A,(A,H,G)) is Element of QC-WFF A
the_argument_of (A,H,G) is Element of QC-WFF A
the_left_argument_of (the_argument_of (A,H,G)) is Element of QC-WFF A
(A,(A,H,G)) is Element of QC-WFF A
the_right_argument_of (the_argument_of (A,H,G)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of (A,H,G))) is Element of QC-WFF A
A is QC-alphabet
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
QC-WFF A is non empty set
H is Element of bound_QC-variables A
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (H,('not' G)) is Element of QC-WFF A
<*H*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*H*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*H*>) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (H,('not' G))) is Element of QC-WFF A
@ (All (H,('not' G))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (H,('not' G)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_argument_of (A,H,G) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
the_left_argument_of (the_argument_of H) is Element of QC-WFF A
the_right_argument_of (the_argument_of H) is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' G) '&' ('not' F) is Element of QC-WFF A
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' G))) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' G) '&' ('not' F)) is Element of QC-WFF A
@ (('not' G) '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' G) '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,('not' G),F) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
the_right_argument_of (the_argument_of H) is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' F) is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' F)) is Element of QC-WFF A
@ (G '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_argument_of ('not' (G '&' ('not' F))) is Element of QC-WFF A
the_right_argument_of (G '&' ('not' F)) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_left_argument_of H is Element of QC-WFF A
the_right_argument_of H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' F) is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' F)) is Element of QC-WFF A
@ (G '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' ('not' G) is Element of QC-WFF A
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ F)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (F '&' ('not' G)) is Element of QC-WFF A
@ (F '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (F '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,F) '&' (A,F,G) is Element of QC-WFF A
@ (A,G,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,G,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,F,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,G,F))) ^ (@ (A,F,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_left_argument_of ((A,G,F) '&' (A,F,G)) is Element of QC-WFF A
the_right_argument_of ((A,G,F) '&' (A,F,G)) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
the_scope_of (the_argument_of H) is Element of QC-WFF A
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' F)) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' F))) is Element of QC-WFF A
@ (All (G,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_argument_of ('not' (All (G,('not' F)))) is Element of QC-WFF A
the_scope_of (All (G,('not' F))) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
the_left_argument_of (the_argument_of H) is Element of QC-WFF A
the_argument_of (the_left_argument_of (the_argument_of H)) is Element of QC-WFF A
(A,H) is Element of QC-WFF A
the_right_argument_of (the_argument_of H) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of H)) is Element of QC-WFF A
(A,(A,H),(A,H)) is Element of QC-WFF A
'not' (A,H) is Element of QC-WFF A
@ (A,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (A,H) is Element of QC-WFF A
@ (A,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' (A,H)) '&' ('not' (A,H)) is Element of QC-WFF A
@ ('not' (A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' (A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' (A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' (A,H)))) ^ (@ ('not' (A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' (A,H)) '&' ('not' (A,H))) is Element of QC-WFF A
@ (('not' (A,H)) '&' ('not' (A,H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' (A,H)) '&' ('not' (A,H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' G) '&' ('not' F) is Element of QC-WFF A
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' G))) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' G) '&' ('not' F)) is Element of QC-WFF A
@ (('not' G) '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' G) '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
the_left_argument_of (the_argument_of H) is Element of QC-WFF A
(A,H) is Element of QC-WFF A
the_right_argument_of (the_argument_of H) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of H)) is Element of QC-WFF A
(A,(A,H),(A,H)) is Element of QC-WFF A
'not' (A,H) is Element of QC-WFF A
@ (A,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H) '&' ('not' (A,H)) is Element of QC-WFF A
@ (A,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' (A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H))) ^ (@ ('not' (A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' ((A,H) '&' ('not' (A,H))) is Element of QC-WFF A
@ ((A,H) '&' ('not' (A,H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ ((A,H) '&' ('not' (A,H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' F) is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' F)) is Element of QC-WFF A
@ (G '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is Element of QC-WFF A
the_left_argument_of H is Element of QC-WFF A
(A,(the_left_argument_of H)) is Element of QC-WFF A
the_argument_of (the_left_argument_of H) is Element of QC-WFF A
the_left_argument_of (the_argument_of (the_left_argument_of H)) is Element of QC-WFF A
(A,H) is Element of QC-WFF A
(A,(the_left_argument_of H)) is Element of QC-WFF A
the_right_argument_of (the_argument_of (the_left_argument_of H)) is Element of QC-WFF A
the_argument_of (the_right_argument_of (the_argument_of (the_left_argument_of H))) is Element of QC-WFF A
(A,(A,H),(A,H)) is Element of QC-WFF A
(A,(A,H),(A,H)) is Element of QC-WFF A
'not' (A,H) is Element of QC-WFF A
@ (A,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H) '&' ('not' (A,H)) is Element of QC-WFF A
@ (A,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' (A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H))) ^ (@ ('not' (A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' ((A,H) '&' ('not' (A,H))) is Element of QC-WFF A
@ ((A,H) '&' ('not' (A,H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ ((A,H) '&' ('not' (A,H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H),(A,H)) is Element of QC-WFF A
'not' (A,H) is Element of QC-WFF A
<*[1,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H) '&' ('not' (A,H)) is Element of QC-WFF A
<*[2,0]*> ^ (@ (A,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' (A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H))) ^ (@ ('not' (A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' ((A,H) '&' ('not' (A,H))) is Element of QC-WFF A
@ ((A,H) '&' ('not' (A,H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ ((A,H) '&' ('not' (A,H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H),(A,H)) '&' (A,(A,H),(A,H)) is Element of QC-WFF A
@ (A,(A,H),(A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,(A,H),(A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,(A,H),(A,H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,(A,H),(A,H)))) ^ (@ (A,(A,H),(A,H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G '&' ('not' F) is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' F)) is Element of QC-WFF A
@ (G '&' ('not' F)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' F))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,F,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' ('not' G) is Element of QC-WFF A
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ F)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (F '&' ('not' G)) is Element of QC-WFF A
@ (F '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (F '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,F) '&' (A,F,G) is Element of QC-WFF A
@ (A,G,F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,G,F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,F,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,G,F))) ^ (@ (A,F,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
bound_in (the_argument_of H) is Element of bound_QC-variables A
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
the_scope_of (the_argument_of H) is Element of QC-WFF A
the_argument_of (the_scope_of (the_argument_of H)) is Element of QC-WFF A
(A,(bound_in (the_argument_of H)),(the_argument_of (the_scope_of (the_argument_of H)))) is Element of QC-WFF A
'not' (the_argument_of (the_scope_of (the_argument_of H))) is Element of QC-WFF A
@ (the_argument_of (the_scope_of (the_argument_of H))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (the_argument_of (the_scope_of (the_argument_of H)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All ((bound_in (the_argument_of H)),('not' (the_argument_of (the_scope_of (the_argument_of H))))) is Element of QC-WFF A
<*(bound_in (the_argument_of H))*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*(bound_in (the_argument_of H))*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' (the_argument_of (the_scope_of (the_argument_of H)))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*(bound_in (the_argument_of H))*>) ^ (@ ('not' (the_argument_of (the_scope_of (the_argument_of H))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All ((bound_in (the_argument_of H)),('not' (the_argument_of (the_scope_of (the_argument_of H)))))) is Element of QC-WFF A
@ (All ((bound_in (the_argument_of H)),('not' (the_argument_of (the_scope_of (the_argument_of H)))))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All ((bound_in (the_argument_of H)),('not' (the_argument_of (the_scope_of (the_argument_of H))))))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of bound_QC-variables A
F is Element of QC-WFF A
(A,G,F) is Element of QC-WFF A
'not' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
All (G,('not' F)) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ ('not' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*G*>) ^ (@ ('not' F)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (All (G,('not' F))) is Element of QC-WFF A
@ (All (G,('not' F))) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (All (G,('not' F)))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
the_argument_of ('not' F) is Element of QC-WFF A
the_argument_of ('not' (All (G,('not' F)))) is Element of QC-WFF A
the_scope_of (All (G,('not' F))) is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
A is QC-alphabet
QC-WFF A is non empty set
VERUM A is Element of QC-WFF A
H is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
G is Element of QC-WFF A
H '&' G is Element of QC-WFF A
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F '&' H is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
H is Element of QC-WFF A
G is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = G } is set
F is Element of G -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(G) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
F ! F is Element of QC-WFF A
@ (F ! F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(@ (F ! F)) . 1 is set
((@ (F ! F)) . 1) `1 is set
F is Element of QC-WFF A
H '&' F is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' H is Element of QC-WFF A
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' H is Element of QC-WFF A
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(@ ('not' H)) . 1 is set
((@ ('not' H)) . 1) `1 is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
F is Element of bound_QC-variables A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(@ ('not' G)) . 1 is set
((@ ('not' G)) . 1) `1 is set
F is Element of QC-WFF A
H '&' F is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' H is Element of QC-WFF A
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
F is Element of bound_QC-variables A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' H is Element of QC-WFF A
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
H '&' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F '&' H is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of bound_QC-variables A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
G is QC-alphabet
QC-WFF G is non empty set
H is Element of QC-WFF A
(A) is Element of QC-WFF A
VERUM A is Element of QC-WFF A
'not' (VERUM A) is Element of QC-WFF A
@ (VERUM A) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (VERUM A)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF G
VERUM G is Element of QC-WFF G
(G) is Element of QC-WFF G
'not' (VERUM G) is Element of QC-WFF G
@ (VERUM G) is Relation-like NAT -defined K21(NAT,(QC-symbols G)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols G))
QC-symbols G is non empty set
rng G is set
K21(NAT,(QC-symbols G)) is set
<*[1,0]*> ^ (@ (VERUM G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
G '&' F is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (G '&' F) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(@ (G '&' F)) . 1 is set
((@ (G '&' F)) . 1) `1 is set
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
F is Element of bound_QC-variables A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
H '&' F is Element of QC-WFF A
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F '&' H is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Element of bound_QC-variables A
All (k,H) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*k*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
All (F,G) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (All (F,G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(@ (All (F,G))) . 1 is set
((@ (All (F,G))) . 1) `1 is set
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
H '&' F is Element of QC-WFF A
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F '&' H is Element of QC-WFF A
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
H '&' F is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
F '&' H is Element of QC-WFF A
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(<*[2,0]*> ^ (@ F)) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
k is Element of bound_QC-variables A
All (k,H) is Element of QC-WFF A
<*k*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*k*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
(<*[3,0]*> ^ <*k*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = F } is set
F is Element of F -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(F) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
F ! F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
G is Element of QC-WFF A
'not' (the_argument_of H) is Element of QC-WFF A
@ (the_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (the_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_left_argument_of H is Element of QC-WFF A
the_right_argument_of H is Element of QC-WFF A
G is Element of QC-WFF A
(the_left_argument_of H) '&' (the_right_argument_of H) is Element of QC-WFF A
@ (the_left_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ (the_left_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (the_right_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (the_left_argument_of H))) ^ (@ (the_right_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_scope_of H is Element of QC-WFF A
G is Element of QC-WFF A
bound_in H is Element of bound_QC-variables A
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
All ((bound_in H),(the_scope_of H)) is Element of QC-WFF A
<*(bound_in H)*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (the_scope_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*(bound_in H)*>) ^ (@ (the_scope_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
F is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined QC-WFF A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of QC-WFF A
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . F is set
F + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . (F + 1) is set
A is QC-alphabet
QC-WFF A is non empty set
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ G) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
VERUM A is Element of QC-WFF A
the_argument_of G is Element of QC-WFF A
the_left_argument_of G is Element of QC-WFF A
the_right_argument_of G is Element of QC-WFF A
the_scope_of G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
<*H,G*> is non empty Relation-like NAT -defined Function-like V33() V40(2) FinSequence-like FinSubsequence-like set
F is non empty Relation-like NAT -defined Function-like V33() V40(2) FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . F is set
F + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . (F + 1) is set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ G) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ G) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . (F + 1) is set
(F + 1) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . ((F + 1) + 1) is set
k is Element of QC-WFF A
k is Element of QC-WFF A
L1 is Element of QC-WFF A
@ L1 is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ L1) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
m is ext-real V4() V8() V9() V10() V14() V15() set
m + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ k is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ k) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is ext-real V4() V8() V9() V10() V14() V15() set
2 + F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
0 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . (0 + 1) is set
k is Element of QC-WFF A
@ k is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ k) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + 1) + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + k) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is ext-real V4() V8() V9() V10() V14() V15() set
2 + F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + 1) + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + k) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . (1 + k) is set
F . ((1 + k) + 1) is set
k is Element of QC-WFF A
L1 is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() set
2 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len L1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . 1 is set
L1 . k is set
m is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + m is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
Seg (1 + m) is V33() V40(1 + m) Element of K20(NAT)
F | (Seg (1 + m)) is Relation-like FinSubsequence-like set
(1 + m) + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F1 ^ L1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
j is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len j is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
j . 1 is set
j . G1 is set
((1 + m) + k) - (1 + m) is ext-real V4() V15() set
k + (1 + m) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + 1) + m is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + m) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
len F1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
dom F1 is Element of K20(NAT)
j . F1 is set
F1 . F1 is set
F . F1 is set
(len F1) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(len F1) + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G1 - (len F1) is ext-real V4() V15() set
L1 . (G1 - (len F1)) is set
F1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
j . F1 is set
F1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
j . (F1 + 1) is set
F1 + 0 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . F1 is set
F . (F1 + 1) is set
G1 is Element of QC-WFF A
c16 is Element of QC-WFF A
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
G1 is ext-real V4() V8() V9() V10() V14() V15() set
((1 + m) + 1) + G1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G1 - (1 + m) is ext-real V4() V15() set
F1 - (1 + m) is ext-real V4() V15() set
c16 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + c16 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . (1 + c16) is set
(1 + c16) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . ((1 + c16) + 1) is set
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
(1 + c16) + (1 + m) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
((1 + c16) + (1 + m)) - (1 + m) is ext-real V4() V15() set
- (1 + m) is ext-real V4() V15() set
((1 + c16) + (1 + m)) + (- (1 + m)) is ext-real V4() V15() set
(F1 + 1) - (len F1) is ext-real V4() V15() set
- (len F1) is ext-real V4() V15() set
F1 + (- (len F1)) is ext-real V4() V15() set
1 + (F1 + (- (len F1))) is ext-real V4() V15() set
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
(F1 + 1) - F1 is ext-real V4() V15() set
- F1 is ext-real V4() V15() set
(F1 + 1) + (- F1) is ext-real V4() V15() set
G1 is Element of QC-WFF A
c16 is Element of QC-WFF A
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
G1 is Element of QC-WFF A
c16 is Element of QC-WFF A
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
len (@ G) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
len (@ G) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
VERUM A is Element of QC-WFF A
H is Element of QC-WFF A
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
H is Element of QC-WFF A
G is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = G } is set
F is Element of G -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(G) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
F ! F is Element of QC-WFF A
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is ext-real V4() V8() V9() V10() V14() V15() set
2 + F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
Seg (1 + k) is V33() V40(1 + k) Element of K20(NAT)
F | (Seg (1 + k)) is Relation-like FinSubsequence-like set
L1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k . 1 is set
k . L1 is set
(1 + k) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
m is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k . m is set
F . m is set
L1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . L1 is set
F . (L1 + 1) is set
m is Element of QC-WFF A
F1 is Element of QC-WFF A
G1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k . G1 is set
G1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k . (G1 + 1) is set
F . G1 is set
F . (G1 + 1) is set
j is Element of QC-WFF A
F1 is Element of QC-WFF A
1 + G1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
G is QC-alphabet
QC-WFF G is non empty set
H is Element of QC-WFF A
(A) is Element of QC-WFF A
VERUM A is Element of QC-WFF A
'not' (VERUM A) is Element of QC-WFF A
@ (VERUM A) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (VERUM A)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF G
VERUM G is Element of QC-WFF G
(G) is Element of QC-WFF G
'not' (VERUM G) is Element of QC-WFF G
@ (VERUM G) is Relation-like NAT -defined K21(NAT,(QC-symbols G)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols G))
QC-symbols G is non empty set
rng G is set
K21(NAT,(QC-symbols G)) is set
<*[1,0]*> ^ (@ (VERUM G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
G '&' F is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ F is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ F) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() set
2 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + 1) + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
(1 + k) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . (1 + k) is set
F . ((1 + k) + 1) is set
L1 is Element of QC-WFF A
m is Element of QC-WFF A
Seg (1 + k) is V33() V40(1 + k) Element of K20(NAT)
F | (Seg (1 + k)) is Relation-like FinSubsequence-like set
G1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 . 1 is set
F1 . G1 is set
j is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 . j is set
F . j is set
j is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 . j is set
j + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 . (j + 1) is set
G1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . j is set
F . (j + 1) is set
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
1 + j is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
H '&' G is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
All (F,G) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . 1 is set
F . F is set
1 + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() set
2 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
1 + k is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
Seg (1 + k) is V33() V40(1 + k) Element of K20(NAT)
F | (Seg (1 + k)) is Relation-like FinSubsequence-like set
m is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len L1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . 1 is set
L1 . m is set
(1 + k) + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . F1 is set
F . F1 is set
m + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F . m is set
F . (m + 1) is set
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
j is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . j is set
j + 1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
L1 . (j + 1) is set
F . j is set
F . (j + 1) is set
F1 is Element of QC-WFF A
G1 is Element of QC-WFF A
1 + j is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of bound_QC-variables A
All (F,H) is Element of QC-WFF A
<*F*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*F*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*F*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,G) is Element of QC-WFF A
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' H) '&' ('not' G) is Element of QC-WFF A
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' H))) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,G) is Element of QC-WFF A
'not' (('not' H) '&' ('not' G)) is Element of QC-WFF A
@ (('not' H) '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' H) '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
F is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
F -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = F } is set
F is Element of F -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(F) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
F ! F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_left_argument_of H is Element of QC-WFF A
the_right_argument_of H is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
the_scope_of H is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
VERUM A is Element of QC-WFF A
H is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
H is Element of QC-WFF A
G is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = G } is set
F is Element of G -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(G) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
F ! F is Element of QC-WFF A
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
(A) is Element of QC-WFF A
VERUM A is Element of QC-WFF A
'not' (VERUM A) is Element of QC-WFF A
@ (VERUM A) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (VERUM A)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is set
F is set
F is Element of QC-WFF A
G is set
F is set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,G) is set
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
G is Element of QC-WFF A
(A,G) is set
F is set
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
(A,G) is set
(A,H) is set
A is QC-alphabet
VERUM A is Element of QC-WFF A
QC-WFF A is non empty set
(A,(VERUM A)) is set
{(VERUM A)} is set
H is set
G is Element of QC-WFF A
H is set
A is QC-alphabet
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
H is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
H -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = H } is set
G is Element of H -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(H) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
G ! F is Element of QC-WFF A
QC-WFF A is non empty set
(A,(G ! F)) is set
{(G ! F)} is set
F is set
F is Element of QC-WFF A
F is set
A is QC-alphabet
(A) is Element of QC-WFF A
QC-WFF A is non empty set
VERUM A is Element of QC-WFF A
'not' (VERUM A) is Element of QC-WFF A
@ (VERUM A) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (VERUM A)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A)) is set
{(VERUM A),(A)} is set
H is set
G is Element of QC-WFF A
H is set
G is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,('not' H)) is set
(A,H) is set
{('not' H)} is set
(A,H) \/ {('not' H)} is set
G is set
F is Element of QC-WFF A
G is set
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
G is Element of QC-WFF A
H '&' G is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(H '&' G)) is set
(A,G) is set
(A,H) \/ (A,G) is set
{(H '&' G)} is set
((A,H) \/ (A,G)) \/ {(H '&' G)} is set
F is set
F is Element of QC-WFF A
F is set
F is Element of QC-WFF A
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
H is Element of QC-WFF A
(A,H) is set
G is Element of bound_QC-variables A
All (G,H) is Element of QC-WFF A
<*G*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*G*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*G*>) ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(All (G,H))) is set
{(All (G,H))} is set
(A,H) \/ {(All (G,H))} is set
F is set
F is Element of QC-WFF A
F is set
F is Element of QC-WFF A
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H,G)) is set
(A,G) is set
(A,H) \/ (A,G) is set
{('not' G),(H '&' ('not' G)),(A,H,G)} is set
((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)} is set
(A,(H '&' ('not' G))) is set
{(A,H,G)} is set
(A,(H '&' ('not' G))) \/ {(A,H,G)} is set
(A,('not' G)) is set
(A,H) \/ (A,('not' G)) is set
{(H '&' ('not' G))} is set
((A,H) \/ (A,('not' G))) \/ {(H '&' ('not' G))} is set
(((A,H) \/ (A,('not' G))) \/ {(H '&' ('not' G))}) \/ {(A,H,G)} is set
{('not' G)} is set
(A,G) \/ {('not' G)} is set
(A,H) \/ ((A,G) \/ {('not' G)}) is set
((A,H) \/ ((A,G) \/ {('not' G)})) \/ {(H '&' ('not' G))} is set
(((A,H) \/ ((A,G) \/ {('not' G)})) \/ {(H '&' ('not' G))}) \/ {(A,H,G)} is set
((A,H) \/ (A,G)) \/ {('not' G)} is set
(((A,H) \/ (A,G)) \/ {('not' G)}) \/ {(H '&' ('not' G))} is set
((((A,H) \/ (A,G)) \/ {('not' G)}) \/ {(H '&' ('not' G))}) \/ {(A,H,G)} is set
{(H '&' ('not' G))} \/ {(A,H,G)} is set
(((A,H) \/ (A,G)) \/ {('not' G)}) \/ ({(H '&' ('not' G))} \/ {(A,H,G)}) is set
{('not' G)} \/ ({(H '&' ('not' G))} \/ {(A,H,G)}) is set
((A,H) \/ (A,G)) \/ ({('not' G)} \/ ({(H '&' ('not' G))} \/ {(A,H,G)})) is set
{(H '&' ('not' G)),(A,H,G)} is set
{('not' G)} \/ {(H '&' ('not' G)),(A,H,G)} is set
((A,H) \/ (A,G)) \/ ({('not' G)} \/ {(H '&' ('not' G)),(A,H,G)}) is set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
('not' H) '&' ('not' G) is Element of QC-WFF A
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ ('not' H))) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (('not' H) '&' ('not' G)) is Element of QC-WFF A
@ (('not' H) '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (('not' H) '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H,G)) is set
(A,G) is set
(A,H) \/ (A,G) is set
{('not' G),('not' H),(('not' H) '&' ('not' G)),(A,H,G)} is set
((A,H) \/ (A,G)) \/ {('not' G),('not' H),(('not' H) '&' ('not' G)),(A,H,G)} is set
(A,(('not' H) '&' ('not' G))) is set
{(A,H,G)} is set
(A,(('not' H) '&' ('not' G))) \/ {(A,H,G)} is set
(A,('not' H)) is set
(A,('not' G)) is set
(A,('not' H)) \/ (A,('not' G)) is set
{(('not' H) '&' ('not' G))} is set
((A,('not' H)) \/ (A,('not' G))) \/ {(('not' H) '&' ('not' G))} is set
(((A,('not' H)) \/ (A,('not' G))) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
{('not' G)} is set
(A,G) \/ {('not' G)} is set
(A,('not' H)) \/ ((A,G) \/ {('not' G)}) is set
((A,('not' H)) \/ ((A,G) \/ {('not' G)})) \/ {(('not' H) '&' ('not' G))} is set
(((A,('not' H)) \/ ((A,G) \/ {('not' G)})) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
{('not' H)} is set
(A,H) \/ {('not' H)} is set
((A,H) \/ {('not' H)}) \/ ((A,G) \/ {('not' G)}) is set
(((A,H) \/ {('not' H)}) \/ ((A,G) \/ {('not' G)})) \/ {(('not' H) '&' ('not' G))} is set
((((A,H) \/ {('not' H)}) \/ ((A,G) \/ {('not' G)})) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
((A,G) \/ {('not' G)}) \/ {('not' H)} is set
(A,H) \/ (((A,G) \/ {('not' G)}) \/ {('not' H)}) is set
((A,H) \/ (((A,G) \/ {('not' G)}) \/ {('not' H)})) \/ {(('not' H) '&' ('not' G))} is set
(((A,H) \/ (((A,G) \/ {('not' G)}) \/ {('not' H)})) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
{('not' G)} \/ {('not' H)} is set
(A,G) \/ ({('not' G)} \/ {('not' H)}) is set
(A,H) \/ ((A,G) \/ ({('not' G)} \/ {('not' H)})) is set
((A,H) \/ ((A,G) \/ ({('not' G)} \/ {('not' H)}))) \/ {(('not' H) '&' ('not' G))} is set
(((A,H) \/ ((A,G) \/ ({('not' G)} \/ {('not' H)}))) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
{('not' G),('not' H)} is set
(A,G) \/ {('not' G),('not' H)} is set
(A,H) \/ ((A,G) \/ {('not' G),('not' H)}) is set
((A,H) \/ ((A,G) \/ {('not' G),('not' H)})) \/ {(('not' H) '&' ('not' G))} is set
(((A,H) \/ ((A,G) \/ {('not' G),('not' H)})) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
((A,H) \/ (A,G)) \/ {('not' G),('not' H)} is set
(((A,H) \/ (A,G)) \/ {('not' G),('not' H)}) \/ {(('not' H) '&' ('not' G))} is set
((((A,H) \/ (A,G)) \/ {('not' G),('not' H)}) \/ {(('not' H) '&' ('not' G))}) \/ {(A,H,G)} is set
{(('not' H) '&' ('not' G))} \/ {(A,H,G)} is set
(((A,H) \/ (A,G)) \/ {('not' G),('not' H)}) \/ ({(('not' H) '&' ('not' G))} \/ {(A,H,G)}) is set
{(('not' H) '&' ('not' G)),(A,H,G)} is set
(((A,H) \/ (A,G)) \/ {('not' G),('not' H)}) \/ {(('not' H) '&' ('not' G)),(A,H,G)} is set
{('not' G),('not' H)} \/ {(('not' H) '&' ('not' G)),(A,H,G)} is set
((A,H) \/ (A,G)) \/ ({('not' G),('not' H)} \/ {(('not' H) '&' ('not' G)),(A,H,G)}) is set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
'not' H is Element of QC-WFF A
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
G is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
(A,H,G) is Element of QC-WFF A
'not' G is Element of QC-WFF A
@ G is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
H '&' ('not' G) is Element of QC-WFF A
<*[2,0]*> ^ (@ H) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ H)) ^ (@ ('not' G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (H '&' ('not' G)) is Element of QC-WFF A
@ (H '&' ('not' G)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (H '&' ('not' G))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,G,H) is Element of QC-WFF A
G '&' ('not' H) is Element of QC-WFF A
<*[2,0]*> ^ (@ G) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ ('not' H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ G)) ^ (@ ('not' H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
'not' (G '&' ('not' H)) is Element of QC-WFF A
@ (G '&' ('not' H)) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[1,0]*> ^ (@ (G '&' ('not' H))) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,H,G) '&' (A,G,H) is Element of QC-WFF A
@ (A,H,G) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (A,H,G)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (A,G,H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (A,H,G))) ^ (@ (A,G,H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(A,(A,H,G)) is set
(A,G) is set
(A,H) \/ (A,G) is set
{('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H),(A,H,G)} is set
((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H),(A,H,G)} is set
(A,(A,H,G)) is set
(A,(A,G,H)) is set
(A,(A,H,G)) \/ (A,(A,G,H)) is set
{(A,H,G)} is set
((A,(A,H,G)) \/ (A,(A,G,H))) \/ {(A,H,G)} is set
{('not' G),(H '&' ('not' G)),(A,H,G)} is set
((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)} is set
(((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ (A,(A,G,H)) is set
((((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ (A,(A,G,H))) \/ {(A,H,G)} is set
{('not' H),(G '&' ('not' H)),(A,G,H)} is set
((A,H) \/ (A,G)) \/ {('not' H),(G '&' ('not' H)),(A,G,H)} is set
(((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ (((A,H) \/ (A,G)) \/ {('not' H),(G '&' ('not' H)),(A,G,H)}) is set
((((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ (((A,H) \/ (A,G)) \/ {('not' H),(G '&' ('not' H)),(A,G,H)})) \/ {(A,H,G)} is set
(((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ {('not' H),(G '&' ('not' H)),(A,G,H)} is set
((A,H) \/ (A,G)) \/ ((((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ {('not' H),(G '&' ('not' H)),(A,G,H)}) is set
(((A,H) \/ (A,G)) \/ ((((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G)}) \/ {('not' H),(G '&' ('not' H)),(A,G,H)})) \/ {(A,H,G)} is set
{('not' G),(H '&' ('not' G)),(A,H,G)} \/ {('not' H),(G '&' ('not' H)),(A,G,H)} is set
((A,H) \/ (A,G)) \/ ({('not' G),(H '&' ('not' G)),(A,H,G)} \/ {('not' H),(G '&' ('not' H)),(A,G,H)}) is set
((A,H) \/ (A,G)) \/ (((A,H) \/ (A,G)) \/ ({('not' G),(H '&' ('not' G)),(A,H,G)} \/ {('not' H),(G '&' ('not' H)),(A,G,H)})) is set
(((A,H) \/ (A,G)) \/ (((A,H) \/ (A,G)) \/ ({('not' G),(H '&' ('not' G)),(A,H,G)} \/ {('not' H),(G '&' ('not' H)),(A,G,H)}))) \/ {(A,H,G)} is set
((A,H) \/ (A,G)) \/ ((A,H) \/ (A,G)) is set
(((A,H) \/ (A,G)) \/ ((A,H) \/ (A,G))) \/ ({('not' G),(H '&' ('not' G)),(A,H,G)} \/ {('not' H),(G '&' ('not' H)),(A,G,H)}) is set
((((A,H) \/ (A,G)) \/ ((A,H) \/ (A,G))) \/ ({('not' G),(H '&' ('not' G)),(A,H,G)} \/ {('not' H),(G '&' ('not' H)),(A,G,H)})) \/ {(A,H,G)} is set
{('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H)} is set
((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H)} is set
(((A,H) \/ (A,G)) \/ {('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H)}) \/ {(A,H,G)} is set
{('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H)} \/ {(A,H,G)} is set
((A,H) \/ (A,G)) \/ ({('not' G),(H '&' ('not' G)),(A,H,G),('not' H),(G '&' ('not' H)),(A,G,H)} \/ {(A,H,G)}) is set
A is QC-alphabet
QC-WFF A is non empty set
VERUM A is Element of QC-WFF A
H is Element of QC-WFF A
(A,H) is set
{H} is set
QC-pred_symbols A is set
QC-symbols A is non empty set
rng A is set
7 is ext-real positive V4() non empty V8() V9() V10() V14() V15() Element of NAT
{ [b1,b2] where b1 is ext-real V4() V8() V9() V10() V14() V15() Element of NAT , b2 is Element of QC-symbols A : 7 <= b1 } is set
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
G is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
G -ary_QC-pred_symbols A is Element of K20((QC-pred_symbols A))
K20((QC-pred_symbols A)) is set
{ b1 where b1 is Element of QC-pred_symbols A : K157(A,b1) = G } is set
F is Element of G -ary_QC-pred_symbols A
F is Relation-like NAT -defined QC-variables A -valued Function-like V33() V40(G) FinSequence-like FinSubsequence-like FinSequence of QC-variables A
F ! F is Element of QC-WFF A
the_argument_of H is Element of QC-WFF A
'not' (the_argument_of H) is Element of QC-WFF A
@ (the_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (the_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len (@ (the_argument_of H)) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
@ H is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
len (@ H) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
the_left_argument_of H is Element of QC-WFF A
the_right_argument_of H is Element of QC-WFF A
(the_left_argument_of H) '&' (the_right_argument_of H) is Element of QC-WFF A
@ (the_left_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
<*[2,0]*> ^ (@ (the_left_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (the_right_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (the_left_argument_of H))) ^ (@ (the_right_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len (@ (the_left_argument_of H)) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
bound_in H is Element of bound_QC-variables A
QC-variables A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
the_scope_of H is Element of QC-WFF A
All ((bound_in H),(the_scope_of H)) is Element of QC-WFF A
<*(bound_in H)*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (the_scope_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[3,0]*> ^ <*(bound_in H)*>) ^ (@ (the_scope_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len (@ (the_scope_of H)) is ext-real V4() V8() V9() V10() V14() V15() Element of NAT
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
the_argument_of H is Element of QC-WFF A
(A,(the_argument_of H)) is set
{H} is set
(A,(the_argument_of H)) \/ {H} is set
'not' (the_argument_of H) is Element of QC-WFF A
@ (the_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[1,0]*> ^ (@ (the_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
the_left_argument_of H is Element of QC-WFF A
(A,(the_left_argument_of H)) is set
the_right_argument_of H is Element of QC-WFF A
(A,(the_right_argument_of H)) is set
(A,(the_left_argument_of H)) \/ (A,(the_right_argument_of H)) is set
{H} is set
((A,(the_left_argument_of H)) \/ (A,(the_right_argument_of H))) \/ {H} is set
(the_left_argument_of H) '&' (the_right_argument_of H) is Element of QC-WFF A
@ (the_left_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
QC-symbols A is non empty set
rng A is set
K21(NAT,(QC-symbols A)) is set
<*[2,0]*> ^ (@ (the_left_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
@ (the_right_argument_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
(<*[2,0]*> ^ (@ (the_left_argument_of H))) ^ (@ (the_right_argument_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
(A,H) is set
the_scope_of H is Element of QC-WFF A
(A,(the_scope_of H)) is set
{H} is set
(A,(the_scope_of H)) \/ {H} is set
bound_in H is Element of bound_QC-variables A
QC-variables A is set
QC-symbols A is non empty set
rng A is set
K21({4,5},(QC-symbols A)) is set
K21({6},NAT) \/ K21({4,5},(QC-symbols A)) is set
bound_QC-variables A is Element of K20((QC-variables A))
K20((QC-variables A)) is set
K21({4},(QC-symbols A)) is set
All ((bound_in H),(the_scope_of H)) is Element of QC-WFF A
<*(bound_in H)*> is non empty Relation-like NAT -defined bound_QC-variables A -valued Function-like V33() V40(1) FinSequence-like FinSubsequence-like FinSequence of bound_QC-variables A
<*[3,0]*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined Function-like V33() V40(1 + 1) FinSequence-like FinSubsequence-like set
@ (the_scope_of H) is Relation-like NAT -defined K21(NAT,(QC-symbols A)) -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of K21(NAT,(QC-symbols A))
K21(NAT,(QC-symbols A)) is set
(<*[3,0]*> ^ <*(bound_in H)*>) ^ (@ (the_scope_of H)) is non empty Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
A is QC-alphabet
QC-WFF A is non empty set
H is Element of QC-WFF A
G is Element of QC-WFF A
F is Element of QC-WFF A
(A,F) is set