REAL is set
NAT is non empty V8() V9() V10() Element of bool REAL
bool REAL is non empty set
NAT is non empty V8() V9() V10() set
bool NAT is non empty set
bool NAT is non empty set
VAR is non empty Element of bool NAT
5 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
{ b1 where b1 is ext-real non negative V8() V9() V10() V14() Element of NAT : 5 <= b1 } is set
bool VAR is non empty set
1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
2 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
3 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Seg 1 is non empty finite V40(1) Element of bool NAT
{1} is non empty finite set
Seg 2 is non empty finite V40(2) Element of bool NAT
{1,2} is non empty finite set
Seg 3 is non empty finite V40(3) Element of bool NAT
{1,2,3} is non empty finite set
{} is ext-real non positive non negative empty V8() V9() V10() V12() V13() V14() functional finite V37() FinSequence-membered set
the ext-real non positive non negative empty V8() V9() V10() V12() V13() V14() functional finite V37() FinSequence-membered set is ext-real non positive non negative empty V8() V9() V10() V12() V13() V14() functional finite V37() FinSequence-membered set
WFF is non empty set
0 is ext-real non positive non negative empty V8() V9() V10() V12() V13() V14() functional finite V37() FinSequence-membered Element of NAT
4 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Element of VAR
x is Element of VAR
H '=' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Var1 (H '=' x) is Element of VAR
Var2 (H '=' x) is Element of VAR
(Var1 (H '=' x)) '=' (Var2 (H '=' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(Var1 (H '=' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*(Var1 (H '=' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(Var2 (H '=' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*(Var1 (H '=' x))*>) ^ <*(Var2 (H '=' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
H is Element of VAR
x is Element of VAR
H 'in' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Var1 (H 'in' x) is Element of VAR
Var2 (H 'in' x) is Element of VAR
(Var1 (H 'in' x)) 'in' (Var2 (H 'in' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(Var1 (H 'in' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*(Var1 (H 'in' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(Var2 (H 'in' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*(Var1 (H 'in' x))*>) ^ <*(Var2 (H 'in' x))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_argument_of ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_left_argument_of (H '&' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (H '&' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of (H '&' x)) '&' (the_right_argument_of (H '&' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_left_argument_of (H '&' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_argument_of (H '&' x))) ^ (the_right_argument_of (H '&' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_left_argument_of (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of (H 'or' x)) 'or' (the_right_argument_of (H 'or' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of (H 'or' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_argument_of (H 'or' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of (H 'or' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of (H 'or' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of (H 'or' x))) '&' ('not' (the_right_argument_of (H 'or' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of (H 'or' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of (H 'or' x)))) ^ ('not' (the_right_argument_of (H 'or' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of (H 'or' x))) '&' ('not' (the_right_argument_of (H 'or' x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of (H 'or' x))) '&' ('not' (the_right_argument_of (H 'or' x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_antecedent_of (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_antecedent_of (H => x)) => (the_consequent_of (H => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of (H => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_consequent_of (H => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of (H => x)) '&' ('not' (the_consequent_of (H => x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_antecedent_of (H => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of (H => x))) ^ ('not' (the_consequent_of (H => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of (H => x)) '&' ('not' (the_consequent_of (H => x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of (H => x)) '&' ('not' (the_consequent_of (H => x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_left_side_of (H <=> x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of (H <=> x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of (H <=> x)) <=> (the_right_side_of (H <=> x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of (H <=> x)) => (the_right_side_of (H <=> x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of (H <=> x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_side_of (H <=> x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of (H <=> x)) '&' ('not' (the_right_side_of (H <=> x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_left_side_of (H <=> x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of (H <=> x))) ^ ('not' (the_right_side_of (H <=> x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of (H <=> x)) '&' ('not' (the_right_side_of (H <=> x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of (H <=> x)) '&' ('not' (the_right_side_of (H <=> x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of (H <=> x)) => (the_left_side_of (H <=> x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of (H <=> x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of (H <=> x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of (H <=> x)) '&' ('not' (the_left_side_of (H <=> x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of (H <=> x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of (H <=> x))) ^ ('not' (the_left_side_of (H <=> x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of (H <=> x)) '&' ('not' (the_left_side_of (H <=> x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of (H <=> x)) '&' ('not' (the_left_side_of (H <=> x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of (H <=> x)) => (the_right_side_of (H <=> x))) '&' ((the_right_side_of (H <=> x)) => (the_left_side_of (H <=> x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of (H <=> x)) => (the_right_side_of (H <=> x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of (H <=> x)) => (the_right_side_of (H <=> x)))) ^ ((the_right_side_of (H <=> x)) => (the_left_side_of (H <=> x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
All (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in (All (x,H)) is Element of VAR
the_scope_of (All (x,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All ((bound_in (All (x,H))),(the_scope_of (All (x,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(bound_in (All (x,H)))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in (All (x,H)))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*(bound_in (All (x,H)))*>) ^ (the_scope_of (All (x,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in (Ex (x,H)) is Element of VAR
the_scope_of (Ex (x,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex ((bound_in (Ex (x,H))),(the_scope_of (Ex (x,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_scope_of (Ex (x,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_scope_of (Ex (x,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in (Ex (x,H))),('not' (the_scope_of (Ex (x,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(bound_in (Ex (x,H)))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in (Ex (x,H)))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*(bound_in (Ex (x,H)))*>) ^ ('not' (the_scope_of (Ex (x,H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in (Ex (x,H))),('not' (the_scope_of (Ex (x,H)))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in (Ex (x,H))),('not' (the_scope_of (Ex (x,H)))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (z,b,a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (b,a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (z,(All (b,a))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*z*>) ^ (All (b,a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in (All (z,b,a)) is Element of VAR
H1 is Element of VAR
H2 is Element of VAR
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (H1,H2,s) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (H2,s) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H2*>) ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (H1,(All (H2,s))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ (All (H2,s)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_scope_of (All (H1,H2,s)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (z,b,a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (b,a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' a))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' a))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (z,(Ex (b,a))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (b,a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (b,a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (z,('not' (Ex (b,a)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*z*>) ^ ('not' (Ex (b,a))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (z,('not' (Ex (b,a))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (z,('not' (Ex (b,a))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in (Ex (z,b,a)) is Element of VAR
H1 is Element of VAR
H2 is Element of VAR
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (H1,H2,s) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (H2,s) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (H2,('not' s)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H2*>) ^ ('not' s) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (H2,('not' s))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (H2,('not' s))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (H1,(Ex (H2,s))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (H2,s)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (H2,s)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (H1,('not' (Ex (H2,s)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ ('not' (Ex (H2,s))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (H1,('not' (Ex (H2,s))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (H1,('not' (Ex (H2,s))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_scope_of (Ex (H1,H2,s)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
a is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,(All (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,(All (a,H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
H1 is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (b,s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,(All (H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ (All (H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,(All (s,H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ (All (s,H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,s,(All (H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (b,(All (s,(All (H1,z))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ (All (s,(All (H1,z)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
All (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
All (z,b,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (b,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (z,(All (b,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*z*>) ^ (All (b,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
z is Element of VAR
All (y,a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*z*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,(All (z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*a*>) ^ (All (z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
H1 is Element of VAR
All (b,s,H1,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (s,H1,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (H1,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,(All (H1,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ (All (H1,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,(All (s,H1,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ (All (s,H1,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
z is Element of VAR
All (y,a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*z*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,(All (z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*a*>) ^ (All (z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
All (b,s,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (s,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,(All (s,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ (All (s,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,a,(All (z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,(All (a,(All (z,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,(All (z,H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
Ex (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
Ex (z,b,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (b,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (z,(Ex (b,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (b,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (b,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (z,('not' (Ex (b,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*z*>) ^ ('not' (Ex (b,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (z,('not' (Ex (b,x))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (z,('not' (Ex (b,x))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
a is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,(Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,(Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,(Ex (a,H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,(Ex (a,H)))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,(Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,(Ex (a,H))))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,(Ex (a,H))))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
H1 is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (b,s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (H1,('not' z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (H1,('not' z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (H1,('not' z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (s,(Ex (H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (H1,z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,('not' (Ex (H1,z)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ ('not' (Ex (H1,z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (s,('not' (Ex (H1,z))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (s,('not' (Ex (H1,z))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (b,(Ex (s,H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (s,H1,z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (s,H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' (Ex (s,H1,z)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' (Ex (s,H1,z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' (Ex (s,H1,z))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' (Ex (s,H1,z))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (b,s,(Ex (H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (b,(Ex (s,(Ex (H1,z))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (s,(Ex (H1,z)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (s,(Ex (H1,z)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' (Ex (s,(Ex (H1,z)))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' (Ex (s,(Ex (H1,z))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' (Ex (s,(Ex (H1,z))))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' (Ex (s,(Ex (H1,z))))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
z is Element of VAR
Ex (y,a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (z,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*z*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (z,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (z,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (a,(Ex (z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (z,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' (Ex (z,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*a*>) ^ ('not' (Ex (z,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' (Ex (z,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' (Ex (z,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,z,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,z,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,z,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,z,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,z,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
H1 is Element of VAR
Ex (b,s,H1,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (s,H1,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (H1,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (H1,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (H1,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (H1,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (s,(Ex (H1,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (H1,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (H1,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,('not' (Ex (H1,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ ('not' (Ex (H1,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (s,('not' (Ex (H1,x))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (s,('not' (Ex (H1,x))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (b,(Ex (s,H1,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (s,H1,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (s,H1,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' (Ex (s,H1,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' (Ex (s,H1,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' (Ex (s,H1,x))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' (Ex (s,H1,x))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
z is Element of VAR
Ex (y,a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (z,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*z*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (z,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (z,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (a,(Ex (z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (z,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' (Ex (z,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*a*>) ^ ('not' (Ex (z,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' (Ex (z,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' (Ex (z,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,z,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,z,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,z,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,z,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,z,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,z,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
Ex (b,s,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (s,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (s,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (s,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (b,(Ex (s,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (s,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (s,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' (Ex (s,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' (Ex (s,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' (Ex (s,x))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' (Ex (s,x))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,a,(Ex (z,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,(Ex (a,(Ex (z,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,(Ex (z,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,(Ex (z,H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,(Ex (z,H)))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,(Ex (z,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,(Ex (z,H))))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,(Ex (z,H))))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
a is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
H1 is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (b,s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,(All (H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ (All (H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,(All (s,H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ (All (s,H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in (All (b,s,H1,z)) is Element of VAR
p2 is Element of VAR
p1 is Element of VAR
c12 is Element of VAR
H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (p2,p1,c12,H2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (p1,c12,H2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (c12,H2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*c12*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*c12*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*c12*>) ^ H2 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (p1,(All (c12,H2))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*p1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*p1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*p1*>) ^ (All (c12,H2)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (p2,(All (p1,c12,H2))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*p2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*p2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*p2*>) ^ (All (p1,c12,H2)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_scope_of (All (p2,p1,c12,H2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
a is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
s is Element of VAR
H1 is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (b,s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (s,H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (H1,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (H1,('not' z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*H1*>) ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (H1,('not' z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (H1,('not' z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (s,(Ex (H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (H1,z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (s,('not' (Ex (H1,z)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ ('not' (Ex (H1,z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (s,('not' (Ex (H1,z))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (s,('not' (Ex (H1,z))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (b,(Ex (s,H1,z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (s,H1,z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (s,H1,z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' (Ex (s,H1,z)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' (Ex (s,H1,z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' (Ex (s,H1,z))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' (Ex (s,H1,z))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in (Ex (b,s,H1,z)) is Element of VAR
p2 is Element of VAR
p1 is Element of VAR
c12 is Element of VAR
H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (p2,p1,c12,H2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (p1,c12,H2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (c12,H2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H2 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (c12,('not' H2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*c12*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*c12*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*c12*>) ^ ('not' H2) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (c12,('not' H2))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (c12,('not' H2))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (p1,(Ex (c12,H2))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (c12,H2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (c12,H2)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (p1,('not' (Ex (c12,H2)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*p1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*p1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*p1*>) ^ ('not' (Ex (c12,H2))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (p1,('not' (Ex (c12,H2))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (p1,('not' (Ex (c12,H2))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (p2,(Ex (p1,c12,H2))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (p1,c12,H2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (p1,c12,H2)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (p2,('not' (Ex (p1,c12,H2)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*p2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*p2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*p2*>) ^ ('not' (Ex (p1,c12,H2))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (p2,('not' (Ex (p1,c12,H2))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (p2,('not' (Ex (p1,c12,H2))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_scope_of (Ex (p2,p1,c12,H2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of (the_left_argument_of (the_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of H) 'or' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of H))) ^ ('not' (the_right_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of (the_right_argument_of (the_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of H) 'or' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of H))) ^ ('not' (the_right_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_antecedent_of H) => (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_consequent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of H) '&' ('not' (the_consequent_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_antecedent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of H)) ^ ('not' (the_consequent_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of (the_right_argument_of (the_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_antecedent_of H) => (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_consequent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of H) '&' ('not' (the_consequent_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_antecedent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of H)) ^ ('not' (the_consequent_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) <=> (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) => (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of H) '&' ('not' (the_right_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of H)) ^ ('not' (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) => (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) '&' ('not' (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of H)) ^ ('not' (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of H) => (the_right_side_of H)) '&' ((the_right_side_of H) => (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of H) => (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of H) => (the_right_side_of H))) ^ ((the_right_side_of H) => (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) <=> (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) => (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of H) '&' ('not' (the_right_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of H)) ^ ('not' (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) => (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) '&' ('not' (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of H)) ^ ('not' (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of H) => (the_right_side_of H)) '&' ((the_right_side_of H) => (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of H) => (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of H) => (the_right_side_of H))) ^ ((the_right_side_of H) => (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in (the_argument_of H) is Element of VAR
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of (the_scope_of (the_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_scope_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),('not' (the_scope_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in H)*>) ^ ('not' (the_scope_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in H),('not' (the_scope_of H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in H),('not' (the_scope_of H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_argument_of (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
('not' H) => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_argument_of (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_left_argument_of (H <=> x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y <=> a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y => a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y '&' ('not' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (y '&' ('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (y '&' ('not' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ a) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (a '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(y => a) '&' (a => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (y => a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (y => a)) ^ (a => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_right_argument_of (y <=> a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_argument_of (Ex (x,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of H) 'or' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of H))) ^ ('not' (the_right_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of H)) => (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_antecedent_of H) => (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_consequent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of H) '&' ('not' (the_consequent_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_antecedent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of H)) ^ ('not' (the_consequent_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) <=> (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) => (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of H) '&' ('not' (the_right_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of H)) ^ ('not' (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) => (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) '&' ('not' (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of H)) ^ ('not' (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of H) => (the_right_side_of H)) '&' ((the_right_side_of H) => (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of H) => (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of H) => (the_right_side_of H))) ^ ((the_right_side_of H) => (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_scope_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),('not' (the_scope_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in H)*>) ^ ('not' (the_scope_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in H),('not' (the_scope_of H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in H),('not' (the_scope_of H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H . 1 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
len x is ext-real non negative V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
len x is ext-real non negative V8() V9() V10() V14() Element of NAT
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
len y is ext-real non negative V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Element of VAR
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae x is set
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae a is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae x is set
Subformulae H is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae H is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae H is set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Subformulae (H => x) is set
Subformulae x is set
(Subformulae H) \/ (Subformulae x) is set
{('not' x),(H '&' ('not' x)),(H => x)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)} is non empty set
Subformulae (H '&' ('not' x)) is set
{(H => x)} is non empty finite V37() set
(Subformulae (H '&' ('not' x))) \/ {(H => x)} is non empty set
Subformulae ('not' x) is set
(Subformulae H) \/ (Subformulae ('not' x)) is set
{(H '&' ('not' x))} is non empty finite V37() set
((Subformulae H) \/ (Subformulae ('not' x))) \/ {(H '&' ('not' x))} is non empty set
(((Subformulae H) \/ (Subformulae ('not' x))) \/ {(H '&' ('not' x))}) \/ {(H => x)} is non empty set
{('not' x)} is non empty finite V37() set
(Subformulae x) \/ {('not' x)} is non empty set
(Subformulae H) \/ ((Subformulae x) \/ {('not' x)}) is non empty set
((Subformulae H) \/ ((Subformulae x) \/ {('not' x)})) \/ {(H '&' ('not' x))} is non empty set
(((Subformulae H) \/ ((Subformulae x) \/ {('not' x)})) \/ {(H '&' ('not' x))}) \/ {(H => x)} is non empty set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x)} is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x)}) \/ {(H '&' ('not' x))} is non empty set
((((Subformulae H) \/ (Subformulae x)) \/ {('not' x)}) \/ {(H '&' ('not' x))}) \/ {(H => x)} is non empty set
{(H '&' ('not' x))} \/ {(H => x)} is non empty finite V37() set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x)}) \/ ({(H '&' ('not' x))} \/ {(H => x)}) is non empty set
{('not' x)} \/ ({(H '&' ('not' x))} \/ {(H => x)}) is non empty finite V37() set
((Subformulae H) \/ (Subformulae x)) \/ ({('not' x)} \/ ({(H '&' ('not' x))} \/ {(H => x)})) is non empty set
{(H '&' ('not' x)),(H => x)} is non empty finite V37() set
{('not' x)} \/ {(H '&' ('not' x)),(H => x)} is non empty finite V37() set
((Subformulae H) \/ (Subformulae x)) \/ ({('not' x)} \/ {(H '&' ('not' x)),(H => x)}) is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae H is set
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Subformulae (H 'or' x) is set
Subformulae x is set
(Subformulae H) \/ (Subformulae x) is set
{('not' x),('not' H),(('not' H) '&' ('not' x)),(H 'or' x)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x),('not' H),(('not' H) '&' ('not' x)),(H 'or' x)} is non empty set
Subformulae (('not' H) '&' ('not' x)) is set
{(H 'or' x)} is non empty finite V37() set
(Subformulae (('not' H) '&' ('not' x))) \/ {(H 'or' x)} is non empty set
Subformulae ('not' H) is set
Subformulae ('not' x) is set
(Subformulae ('not' H)) \/ (Subformulae ('not' x)) is set
{(('not' H) '&' ('not' x))} is non empty finite V37() set
((Subformulae ('not' H)) \/ (Subformulae ('not' x))) \/ {(('not' H) '&' ('not' x))} is non empty set
(((Subformulae ('not' H)) \/ (Subformulae ('not' x))) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
{('not' x)} is non empty finite V37() set
(Subformulae x) \/ {('not' x)} is non empty set
(Subformulae ('not' H)) \/ ((Subformulae x) \/ {('not' x)}) is non empty set
((Subformulae ('not' H)) \/ ((Subformulae x) \/ {('not' x)})) \/ {(('not' H) '&' ('not' x))} is non empty set
(((Subformulae ('not' H)) \/ ((Subformulae x) \/ {('not' x)})) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
{('not' H)} is non empty finite V37() set
(Subformulae H) \/ {('not' H)} is non empty set
((Subformulae H) \/ {('not' H)}) \/ ((Subformulae x) \/ {('not' x)}) is non empty set
(((Subformulae H) \/ {('not' H)}) \/ ((Subformulae x) \/ {('not' x)})) \/ {(('not' H) '&' ('not' x))} is non empty set
((((Subformulae H) \/ {('not' H)}) \/ ((Subformulae x) \/ {('not' x)})) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
((Subformulae x) \/ {('not' x)}) \/ {('not' H)} is non empty set
(Subformulae H) \/ (((Subformulae x) \/ {('not' x)}) \/ {('not' H)}) is non empty set
((Subformulae H) \/ (((Subformulae x) \/ {('not' x)}) \/ {('not' H)})) \/ {(('not' H) '&' ('not' x))} is non empty set
(((Subformulae H) \/ (((Subformulae x) \/ {('not' x)}) \/ {('not' H)})) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
{('not' x)} \/ {('not' H)} is non empty finite V37() set
(Subformulae x) \/ ({('not' x)} \/ {('not' H)}) is non empty set
(Subformulae H) \/ ((Subformulae x) \/ ({('not' x)} \/ {('not' H)})) is non empty set
((Subformulae H) \/ ((Subformulae x) \/ ({('not' x)} \/ {('not' H)}))) \/ {(('not' H) '&' ('not' x))} is non empty set
(((Subformulae H) \/ ((Subformulae x) \/ ({('not' x)} \/ {('not' H)}))) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
{('not' x),('not' H)} is non empty finite V37() set
(Subformulae x) \/ {('not' x),('not' H)} is non empty set
(Subformulae H) \/ ((Subformulae x) \/ {('not' x),('not' H)}) is non empty set
((Subformulae H) \/ ((Subformulae x) \/ {('not' x),('not' H)})) \/ {(('not' H) '&' ('not' x))} is non empty set
(((Subformulae H) \/ ((Subformulae x) \/ {('not' x),('not' H)})) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x),('not' H)} is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),('not' H)}) \/ {(('not' H) '&' ('not' x))} is non empty set
((((Subformulae H) \/ (Subformulae x)) \/ {('not' x),('not' H)}) \/ {(('not' H) '&' ('not' x))}) \/ {(H 'or' x)} is non empty set
{(('not' H) '&' ('not' x))} \/ {(H 'or' x)} is non empty finite V37() set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),('not' H)}) \/ ({(('not' H) '&' ('not' x))} \/ {(H 'or' x)}) is non empty set
{(('not' H) '&' ('not' x)),(H 'or' x)} is non empty finite V37() set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),('not' H)}) \/ {(('not' H) '&' ('not' x)),(H 'or' x)} is non empty set
{('not' x),('not' H)} \/ {(('not' H) '&' ('not' x)),(H 'or' x)} is non empty finite V37() set
((Subformulae H) \/ (Subformulae x)) \/ ({('not' x),('not' H)} \/ {(('not' H) '&' ('not' x)),(H 'or' x)}) is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Subformulae H is set
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Subformulae (H <=> x) is set
Subformulae x is set
(Subformulae H) \/ (Subformulae x) is set
{('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H),(H <=> x)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H),(H <=> x)} is non empty set
Subformulae (H => x) is set
Subformulae (x => H) is set
(Subformulae (H => x)) \/ (Subformulae (x => H)) is set
{(H <=> x)} is non empty finite V37() set
((Subformulae (H => x)) \/ (Subformulae (x => H))) \/ {(H <=> x)} is non empty set
{('not' x),(H '&' ('not' x)),(H => x)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)} is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ (Subformulae (x => H)) is non empty set
((((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ (Subformulae (x => H))) \/ {(H <=> x)} is non empty set
{('not' H),(x '&' ('not' H)),(x => H)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ {('not' H),(x '&' ('not' H)),(x => H)} is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ (((Subformulae H) \/ (Subformulae x)) \/ {('not' H),(x '&' ('not' H)),(x => H)}) is non empty set
((((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ (((Subformulae H) \/ (Subformulae x)) \/ {('not' H),(x '&' ('not' H)),(x => H)})) \/ {(H <=> x)} is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ {('not' H),(x '&' ('not' H)),(x => H)} is non empty set
((Subformulae H) \/ (Subformulae x)) \/ ((((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ {('not' H),(x '&' ('not' H)),(x => H)}) is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ ((((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x)}) \/ {('not' H),(x '&' ('not' H)),(x => H)})) \/ {(H <=> x)} is non empty set
{('not' x),(H '&' ('not' x)),(H => x)} \/ {('not' H),(x '&' ('not' H)),(x => H)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ ({('not' x),(H '&' ('not' x)),(H => x)} \/ {('not' H),(x '&' ('not' H)),(x => H)}) is non empty set
((Subformulae H) \/ (Subformulae x)) \/ (((Subformulae H) \/ (Subformulae x)) \/ ({('not' x),(H '&' ('not' x)),(H => x)} \/ {('not' H),(x '&' ('not' H)),(x => H)})) is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ (((Subformulae H) \/ (Subformulae x)) \/ ({('not' x),(H '&' ('not' x)),(H => x)} \/ {('not' H),(x '&' ('not' H)),(x => H)}))) \/ {(H <=> x)} is non empty set
((Subformulae H) \/ (Subformulae x)) \/ ((Subformulae H) \/ (Subformulae x)) is set
(((Subformulae H) \/ (Subformulae x)) \/ ((Subformulae H) \/ (Subformulae x))) \/ ({('not' x),(H '&' ('not' x)),(H => x)} \/ {('not' H),(x '&' ('not' H)),(x => H)}) is non empty set
((((Subformulae H) \/ (Subformulae x)) \/ ((Subformulae H) \/ (Subformulae x))) \/ ({('not' x),(H '&' ('not' x)),(H => x)} \/ {('not' H),(x '&' ('not' H)),(x => H)})) \/ {(H <=> x)} is non empty set
{('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H)} is non empty set
(((Subformulae H) \/ (Subformulae x)) \/ {('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H)}) \/ {(H <=> x)} is non empty set
{('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H)} \/ {(H <=> x)} is non empty finite set
((Subformulae H) \/ (Subformulae x)) \/ ({('not' x),(H '&' ('not' x)),(H => x),('not' H),(x '&' ('not' H)),(x => H)} \/ {(H <=> x)}) is non empty set
H is Element of VAR
x is Element of VAR
H '=' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Free (H '=' x) is Element of bool VAR
{H,x} is non empty finite set
Var2 (H '=' x) is Element of VAR
Var1 (H '=' x) is Element of VAR
H is Element of VAR
x is Element of VAR
H 'in' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Free (H 'in' x) is Element of bool VAR
{H,x} is non empty finite set
Var2 (H 'in' x) is Element of VAR
Var1 (H 'in' x) is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free ('not' H) is Element of bool VAR
Free H is Element of bool VAR
the_argument_of ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (H '&' x) is Element of bool VAR
Free x is Element of bool VAR
(Free H) \/ (Free x) is Element of bool VAR
the_right_argument_of (H '&' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of (H '&' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Element of VAR
All (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (All (x,H)) is Element of bool VAR
{x} is non empty finite set
(Free H) \ {x} is Element of bool VAR
the_scope_of (All (x,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in (All (x,H)) is Element of VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (H 'or' x) is Element of bool VAR
Free x is Element of bool VAR
(Free H) \/ (Free x) is Element of bool VAR
Free (('not' H) '&' ('not' x)) is Element of bool VAR
Free ('not' H) is Element of bool VAR
Free ('not' x) is Element of bool VAR
(Free ('not' H)) \/ (Free ('not' x)) is Element of bool VAR
(Free H) \/ (Free ('not' x)) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (H => x) is Element of bool VAR
Free x is Element of bool VAR
(Free H) \/ (Free x) is Element of bool VAR
Free (H '&' ('not' x)) is Element of bool VAR
Free ('not' x) is Element of bool VAR
(Free H) \/ (Free ('not' x)) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (H <=> x) is Element of bool VAR
Free x is Element of bool VAR
(Free H) \/ (Free x) is Element of bool VAR
Free (H => x) is Element of bool VAR
Free (x => H) is Element of bool VAR
(Free (H => x)) \/ (Free (x => H)) is Element of bool VAR
((Free H) \/ (Free x)) \/ (Free (x => H)) is Element of bool VAR
(Free x) \/ (Free H) is Element of bool VAR
((Free H) \/ (Free x)) \/ ((Free x) \/ (Free H)) is Element of bool VAR
((Free H) \/ (Free x)) \/ (Free x) is Element of bool VAR
(((Free H) \/ (Free x)) \/ (Free x)) \/ (Free H) is Element of bool VAR
(Free x) \/ (Free x) is Element of bool VAR
(Free H) \/ ((Free x) \/ (Free x)) is Element of bool VAR
((Free H) \/ ((Free x) \/ (Free x))) \/ (Free H) is Element of bool VAR
(Free H) \/ (Free H) is Element of bool VAR
((Free H) \/ (Free H)) \/ (Free x) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (Ex (x,H)) is Element of bool VAR
{x} is non empty finite set
(Free H) \ {x} is Element of bool VAR
Free (All (x,('not' H))) is Element of bool VAR
Free ('not' H) is Element of bool VAR
(Free ('not' H)) \ {x} is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Element of VAR
y is Element of VAR
All (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (All (x,y,H)) is Element of bool VAR
{x,y} is non empty finite set
(Free H) \ {x,y} is Element of bool VAR
Free (All (y,H)) is Element of bool VAR
{x} is non empty finite set
(Free (All (y,H))) \ {x} is Element of bool VAR
{y} is non empty finite set
(Free H) \ {y} is Element of bool VAR
((Free H) \ {y}) \ {x} is Element of bool VAR
{x} \/ {y} is non empty finite set
(Free H) \ ({x} \/ {y}) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Element of VAR
y is Element of VAR
a is Element of VAR
All (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (All (x,y,a,H)) is Element of bool VAR
{x,y,a} is non empty finite set
(Free H) \ {x,y,a} is Element of bool VAR
Free (All (y,a,H)) is Element of bool VAR
{x} is non empty finite set
(Free (All (y,a,H))) \ {x} is Element of bool VAR
{y,a} is non empty finite set
(Free H) \ {y,a} is Element of bool VAR
((Free H) \ {y,a}) \ {x} is Element of bool VAR
{x} \/ {y,a} is non empty finite set
(Free H) \ ({x} \/ {y,a}) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Element of VAR
y is Element of VAR
Ex (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (Ex (x,y,H)) is Element of bool VAR
{x,y} is non empty finite set
(Free H) \ {x,y} is Element of bool VAR
Free (Ex (y,H)) is Element of bool VAR
{x} is non empty finite set
(Free (Ex (y,H))) \ {x} is Element of bool VAR
{y} is non empty finite set
(Free H) \ {y} is Element of bool VAR
((Free H) \ {y}) \ {x} is Element of bool VAR
{x} \/ {y} is non empty finite set
(Free H) \ ({x} \/ {y}) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Element of VAR
y is Element of VAR
a is Element of VAR
Ex (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (Ex (x,y,a,H)) is Element of bool VAR
{x,y,a} is non empty finite set
(Free H) \ {x,y,a} is Element of bool VAR
Free (Ex (y,a,H)) is Element of bool VAR
{x} is non empty finite set
(Free (Ex (y,a,H))) \ {x} is Element of bool VAR
{y,a} is non empty finite set
(Free H) \ {y,a} is Element of bool VAR
((Free H) \ {y,a}) \ {x} is Element of bool VAR
{x} \/ {y,a} is non empty finite set
(Free H) \ ({x} \/ {y,a}) is Element of bool VAR
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of H) '&' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_argument_of H)) ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
x 'in' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
x is Element of VAR
y is Element of VAR
x '=' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
All ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in H)*>) ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is non empty set
x is non empty set
[:H,x:] is non empty set
bool [:H,x:] is non empty set
y is non empty set
a is Relation-like H -defined x -valued Function-like V30(H,x) Element of bool [:H,x:]
[:H,y:] is non empty set
bool [:H,y:] is non empty set
rng a is set
dom a is set
H is non empty set
[:VAR,H:] is non empty set
bool [:VAR,H:] is non empty set
H is non empty set
[:VAR,H:] is non empty set
bool [:VAR,H:] is non empty set
x is Relation-like VAR -defined H -valued Function-like V30( VAR ,H) Element of bool [:VAR,H:]
y is Element of VAR
a is Element of H
x +* (y,a) is Relation-like Function-like set
x +* (y,a) is Relation-like VAR -defined H -valued Function-like V30( VAR ,H) Element of bool [:VAR,H:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
All (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Element of y
(y,a,x,z) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
b is Element of VAR
(y,a,x,z) . b is Element of y
a . b is Element of y
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z . x is Element of y
(y,a,x,(z . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
All (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Element of y
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,z,x,a) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
b is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
s is Element of y
(y,b,x,s) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H1 is Element of y
(y,(y,b,x,s),x,H1) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,b,x,H1) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z . x is Element of y
(y,(y,z,x,a),x,(z . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,z,x,(z . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z . x is Element of y
(y,a,x,(z . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Element of y
(y,a,x,z) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
b is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
s is Element of VAR
b . s is Element of y
a . s is Element of y
b is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Element of y
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,z,x,a) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
b is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
s is Element of y
(y,b,x,s) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H1 is Element of y
(y,b,x,H1) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,(y,b,x,s),x,H1) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z . x is Element of y
(y,(y,z,x,a),x,(z . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,z,x,(z . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free y is Element of bool VAR
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free a is Element of bool VAR
y '&' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (y '&' a) is Element of bool VAR
z is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(Free y) \/ (Free a) is Element of bool VAR
s is Element of VAR
b . s is Element of x
z . s is Element of x
s is Element of VAR
b . s is Element of x
z . s is Element of x
y is Element of VAR
a is Element of VAR
y '=' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*y*>) ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Free (y '=' a) is Element of bool VAR
y 'in' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*y*>) ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
Free (y 'in' a) is Element of bool VAR
{y,a} is non empty finite set
z is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b . a is Element of x
z . a is Element of x
z . y is Element of x
b . y is Element of x
z is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b . a is Element of x
z . a is Element of x
z . y is Element of x
b . y is Element of x
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free y is Element of bool VAR
a is Element of VAR
All (a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (All (a,y)) is Element of bool VAR
z is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
{a} is non empty finite set
(Free y) \ {a} is Element of bool VAR
H1 is Element of VAR
b . H1 is Element of x
z . H1 is Element of x
s is Element of x
(x,b,a,s) is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(x,b,a,s) . H1 is Element of x
(x,z,a,s) is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(x,z,a,s) . H1 is Element of x
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free y is Element of bool VAR
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free ('not' y) is Element of bool VAR
a is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
z is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
b is Element of VAR
a . b is Element of x
z . b is Element of x
a is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free x is Element of bool VAR
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free y is Element of bool VAR
x '&' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (x '&' y) is Element of bool VAR
(Free x) \/ (Free y) is Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free x is Element of bool VAR
y is Element of VAR
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (All (y,x)) is Element of bool VAR
{y} is non empty finite set
(Free x) \ {y} is Element of bool VAR
x is Element of VAR
y is Element of VAR
x '=' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Free (x '=' y) is Element of bool VAR
x 'in' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
Free (x 'in' y) is Element of bool VAR
{x,y} is non empty finite set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free x is Element of bool VAR
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free ('not' x) is Element of bool VAR
H is ext-real non negative V8() V9() V10() V14() Element of NAT
x. H is Element of VAR
5 + H is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
x is ext-real non negative V8() V9() V10() V14() Element of NAT
x. x is Element of VAR
5 + x is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Element of VAR
x is ext-real non negative V8() V9() V10() V14() Element of NAT
y is ext-real non negative V8() V9() V10() V14() set
5 + y is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
a is ext-real non negative V8() V9() V10() V14() Element of NAT
x. a is Element of VAR
5 + a is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Element of VAR
H '=' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*0*> ^ <*H*>) ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
y . H is Element of x
H is Element of VAR
H '=' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*0*> ^ <*H*>) ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Element of VAR
H 'in' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*1*> ^ <*H*>) ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
y . H is Element of x
H is Element of VAR
H 'in' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*1*> ^ <*H*>) ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
'not' (H 'in' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (H 'in' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
the Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:] is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
a is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Element of VAR
x is Element of VAR
H '=' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:] is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
the Element of y is Element of y
b is set
{b} is non empty finite set
s is set
(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H, the Element of y) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H1 is Element of y
(y,(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H, the Element of y),x,H1) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H, the Element of y),x,H1) . H is Element of y
(y,(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H, the Element of y),x,H1) . x is Element of y
(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H, the Element of y) . H is Element of y
a is set
{a} is non empty finite set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z . H is Element of y
z . x is Element of y
a is set
{a} is non empty finite set
H is Element of VAR
x is Element of VAR
H 'in' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
'not' (H 'in' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (H 'in' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:] is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is set
z /\ y is set
the Element of z /\ y is Element of z /\ y
H1 is Element of y
(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H,H1) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
s is Element of y
(y,(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H,H1),x,s) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
(y,(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H,H1),x,s) . H is Element of y
(y,(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H,H1),x,s) . x is Element of y
(y, the Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:],H,H1) . H is Element of y
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
a . x is Element of y
a . H is Element of y
a is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Var1 H is Element of VAR
Var2 H is Element of VAR
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
y . (Var1 H) is Element of x
y . (Var2 H) is Element of x
(Var1 H) '=' (Var2 H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(Var1 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*(Var1 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*(Var2 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*(Var1 H)*>) ^ <*(Var2 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Var1 H is Element of VAR
Var2 H is Element of VAR
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
y . (Var1 H) is Element of x
y . (Var2 H) is Element of x
(Var1 H) 'in' (Var2 H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(Var1 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*(Var1 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*(Var2 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*(Var1 H)*>) ^ <*(Var2 H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
'not' (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(the_left_argument_of H) '&' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_argument_of H)) ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
All ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in H)*>) ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of x
(x,y,(bound_in H),a) is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(the_left_argument_of H) 'or' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of H))) ^ ('not' (the_right_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(the_antecedent_of H) => (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_consequent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of H) '&' ('not' (the_consequent_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_antecedent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of H)) ^ ('not' (the_consequent_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
(the_left_side_of H) <=> (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) => (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of H) '&' ('not' (the_right_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of H)) ^ ('not' (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) => (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) '&' ('not' (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of H)) ^ ('not' (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of H) => (the_right_side_of H)) '&' ((the_right_side_of H) => (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of H) => (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of H) => (the_right_side_of H))) ^ ((the_right_side_of H) => (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
Ex ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_scope_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),('not' (the_scope_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in H)*>) ^ ('not' (the_scope_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in H),('not' (the_scope_of H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in H),('not' (the_scope_of H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of x
(x,y,(bound_in H),a) is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Element of y
(y,a,x,z) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
a . x is Element of y
(y,a,x,(a . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
All (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
Ex (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
a is Element of VAR
All (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
a is Element of VAR
Ex (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H <=> x) => (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H <=> x) '&' ('not' (H => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H <=> x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H <=> x)) ^ ('not' (H => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H <=> x) '&' ('not' (H => x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H <=> x) '&' ('not' (H => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H <=> x) => (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H <=> x) '&' ('not' (x => H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H <=> x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H <=> x)) ^ ('not' (x => H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H <=> x) '&' ('not' (x => H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H <=> x) '&' ('not' (x => H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(x => y) => (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(x => y) '&' ('not' (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (x => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (x => y)) ^ ('not' (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((x => y) '&' ('not' (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((x => y) '&' ('not' (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) => ((x => y) => (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((x => y) => (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((x => y) => (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' ('not' ((x => y) => (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ ('not' ((x => y) => (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => x) '&' ('not' ((x => y) => (H => y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => x) '&' ('not' ((x => y) => (H => y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
(x => y) => (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(x => y) '&' ('not' (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (x => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (x => y)) ^ ('not' (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((x => y) '&' ('not' (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((x => y) '&' ('not' (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) => ((x => y) => (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((x => y) => (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((x => y) => (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' ('not' ((x => y) => (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ ('not' ((x => y) => (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => x) '&' ('not' ((x => y) => (H => y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => x) '&' ('not' ((x => y) => (H => y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x) '&' (x => y)) => (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x) '&' (x => y)) '&' ('not' (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((H => x) '&' (x => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((H => x) '&' (x => y))) ^ ('not' (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (((H => x) '&' (x => y)) '&' ('not' (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (((H => x) '&' (x => y)) '&' ('not' (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
b is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (x => H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (x => H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (x => H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (x => H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (x => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (x => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (x => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (x => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (x => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) => (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' ('not' (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ ('not' (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => x) '&' ('not' (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => x) '&' ('not' (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => (x => y)) => ((H => x) => (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((H => x) => (H => y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => x) => (H => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => (x => y)) '&' ('not' ((H => x) => (H => y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => (x => y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => (x => y))) ^ ('not' ((H => x) => (H => y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => (x => y)) '&' ('not' ((H => x) => (H => y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => (x => y)) '&' ('not' ((H => x) => (H => y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
b is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H '&' x) => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H '&' x) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H '&' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H '&' x)) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H '&' x) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H '&' x) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H '&' x) => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H '&' x) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H '&' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H '&' x)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H '&' x) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H '&' x) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H '&' x) => (x '&' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x '&' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (x '&' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H '&' x) '&' ('not' (x '&' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H '&' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H '&' x)) ^ ('not' (x '&' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H '&' x) '&' ('not' (x '&' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H '&' x) '&' ('not' (x '&' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (H '&' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H '&' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (H '&' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (H '&' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (H '&' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (H '&' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (H '&' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
a is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (x '&' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x '&' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (x '&' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (x '&' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (x '&' y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (x '&' y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => y) => (H => (x '&' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => (x '&' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => (x '&' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => y) '&' ('not' (H => (x '&' y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => y)) ^ ('not' (H => (x '&' y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => y) '&' ('not' (H => (x '&' y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => y) '&' ('not' (H => (x '&' y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) => ((H => y) => (H => (x '&' y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((H => y) => (H => (x '&' y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => y) => (H => (x '&' y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' ('not' ((H => y) => (H => (x '&' y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ ('not' ((H => y) => (H => (x '&' y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => x) '&' ('not' ((H => y) => (H => (x '&' y))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => x) '&' ('not' ((H => y) => (H => (x '&' y))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
b is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H 'or' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (H 'or' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (H 'or' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (H 'or' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (H 'or' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x 'or' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' x) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' x)) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' x) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' x) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (x 'or' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x 'or' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x 'or' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (x 'or' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (x 'or' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (x 'or' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (x 'or' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x 'or' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
('not' x) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' x)) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' x) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' x) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H 'or' x) => (x 'or' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x 'or' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x 'or' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H 'or' x) '&' ('not' (x 'or' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H 'or' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H 'or' x)) ^ ('not' (x 'or' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H 'or' x) '&' ('not' (x 'or' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H 'or' x) '&' ('not' (x 'or' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
x is non empty set
[:VAR,x:] is non empty set
bool [:VAR,x:] is non empty set
y is Relation-like VAR -defined x -valued Function-like V30( VAR ,x) Element of bool [:VAR,x:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (H 'or' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H 'or' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H 'or' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (H 'or' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (H 'or' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (H 'or' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (H 'or' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is non empty set
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a 'or' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' a) '&' ('not' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' a)) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' a) '&' ('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' a) '&' ('not' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a => (a 'or' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (a 'or' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a 'or' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a '&' ('not' (a 'or' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ a) ^ ('not' (a 'or' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (a '&' ('not' (a 'or' a))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a '&' ('not' (a 'or' a))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (y '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (y '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H 'or' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H 'or' y) => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H 'or' y) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H 'or' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H 'or' y)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H 'or' y) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H 'or' y) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(y => x) => ((H 'or' y) => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((H 'or' y) => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H 'or' y) => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(y => x) '&' ('not' ((H 'or' y) => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (y => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (y => x)) ^ ('not' ((H 'or' y) => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((y => x) '&' ('not' ((H 'or' y) => x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((y => x) '&' ('not' ((H 'or' y) => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) => ((y => x) => ((H 'or' y) => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((y => x) => ((H 'or' y) => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((y => x) => ((H 'or' y) => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' ('not' ((y => x) => ((H 'or' y) => x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ ('not' ((y => x) => ((H 'or' y) => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => x) '&' ('not' ((y => x) => ((H 'or' y) => x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => x) '&' ('not' ((y => x) => ((H 'or' y) => x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
b is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (y '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (y '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (y => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (y => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H 'or' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H 'or' y) => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H 'or' y) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H 'or' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H 'or' y)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H 'or' y) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H 'or' y) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x) '&' (y => x)) => ((H 'or' y) => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((H 'or' y) => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H 'or' y) => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x) '&' (y => x)) '&' ('not' ((H 'or' y) => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((H => x) '&' (y => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((H => x) '&' (y => x))) ^ ('not' ((H 'or' y) => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (((H => x) '&' (y => x)) '&' ('not' ((H 'or' y) => x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (((H => x) '&' (y => x)) '&' ('not' ((H 'or' y) => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
b is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' ('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' ('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' ('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => ('not' x)) => (x => ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (x => ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x => ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => ('not' x)) '&' ('not' (x => ('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => ('not' x))) ^ ('not' (x => ('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((H => ('not' x)) '&' ('not' (x => ('not' H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((H => ('not' x)) '&' ('not' (x => ('not' H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) => (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' (H => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' (H => x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' (H => x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' (H => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' ('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (H => ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (H => ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x) '&' (H => ('not' x))) => ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x) '&' (H => ('not' x))) '&' ('not' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((H => x) '&' (H => ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((H => x) '&' (H => ('not' x)))) ^ ('not' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (((H => x) '&' (H => ('not' x))) '&' ('not' ('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (((H => x) '&' (H => ('not' x))) '&' ('not' ('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) 'or' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' ('not' H)) '&' ('not' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' ('not' H))) ^ ('not' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' ('not' H)) '&' ('not' ('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' ('not' H)) '&' ('not' ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (H '&' x)) => (('not' H) 'or' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (('not' H) 'or' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) 'or' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (H '&' x)) '&' ('not' (('not' H) 'or' ('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' (H '&' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (H '&' x))) ^ ('not' (('not' H) 'or' ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (H '&' x)) '&' ('not' (('not' H) 'or' ('not' x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (H '&' x)) '&' ('not' (('not' H) 'or' ('not' x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) 'or' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' ('not' H)) '&' ('not' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' ('not' H))) ^ ('not' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' ('not' H)) '&' ('not' ('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' ('not' H)) '&' ('not' ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' H) 'or' ('not' x)) => ('not' (H '&' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' (H '&' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' (H '&' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' H) 'or' ('not' x)) '&' ('not' ('not' (H '&' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (('not' H) 'or' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (('not' H) 'or' ('not' x))) ^ ('not' ('not' (H '&' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((('not' H) 'or' ('not' x)) '&' ('not' ('not' (H '&' x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((('not' H) 'or' ('not' x)) '&' ('not' ('not' (H '&' x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H 'or' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (H 'or' x)) => (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
('not' (H 'or' x)) '&' ('not' (('not' H) '&' ('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' (H 'or' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (H 'or' x))) ^ ('not' (('not' H) '&' ('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (H 'or' x)) '&' ('not' (('not' H) '&' ('not' x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (H 'or' x)) '&' ('not' (('not' H) '&' ('not' x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H 'or' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H 'or' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' H) '&' ('not' x)) => ('not' (H 'or' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ('not' (H 'or' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ('not' (H 'or' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' H) '&' ('not' x)) '&' ('not' ('not' (H 'or' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (('not' H) '&' ('not' x))) ^ ('not' ('not' (H 'or' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((('not' H) '&' ('not' x)) '&' ('not' ('not' (H 'or' x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((('not' H) '&' ('not' x)) '&' ('not' ('not' (H 'or' x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
z is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
All (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (x,H)) => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (x,H)) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (All (x,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (All (x,H))) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((All (x,H)) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((All (x,H)) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
a . x is Element of y
(y,a,x,(a . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (Ex (x,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (x,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (x,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (Ex (x,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (Ex (x,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (Ex (x,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (Ex (x,H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is non empty set
[:VAR,y:] is non empty set
bool [:VAR,y:] is non empty set
a is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
a . x is Element of y
(y,a,x,(a . x)) is Relation-like VAR -defined y -valued Function-like V30( VAR ,y) Element of bool [:VAR,y:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is finite Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
All (y,(H => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (All (y,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (All (y,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (All (y,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (All (y,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (All (y,x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(H => x))) => (H => (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => (All (y,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(H => x))) '&' ('not' (H => (All (y,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (All (y,(H => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (All (y,(H => x)))) ^ ('not' (H => (All (y,x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((All (y,(H => x))) '&' ('not' (H => (All (y,x))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((All (y,(H => x))) '&' ('not' (H => (All (y,x))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of a
(a,z,y,b) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is finite Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (All (y,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (All (y,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (All (y,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (All (y,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (All (y,x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
All (y,(H => x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(H => x))) => (H => (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (H => (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H => (All (y,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(H => x))) '&' ('not' (H => (All (y,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (All (y,(H => x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (All (y,(H => x)))) ^ ('not' (H => (All (y,x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((All (y,(H => x))) '&' ('not' (H => (All (y,x))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((All (y,(H => x))) '&' ('not' (H => (All (y,x))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of a
(a,z,y,b) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is finite Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
All (y,(x => H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(Ex (y,x)) => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(Ex (y,x)) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (Ex (y,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (Ex (y,x))) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((Ex (y,x)) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((Ex (y,x)) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(x => H))) => ((Ex (y,x)) => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((Ex (y,x)) => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((Ex (y,x)) => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(x => H))) '&' ('not' ((Ex (y,x)) => H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (All (y,(x => H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (All (y,(x => H)))) ^ ('not' ((Ex (y,x)) => H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((All (y,(x => H))) '&' ('not' ((Ex (y,x)) => H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((All (y,(x => H))) '&' ('not' ((Ex (y,x)) => H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
b is Element of a
(a,z,y,b) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z . y is Element of a
(a,z,y,(z . y)) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is finite Element of bool VAR
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
Ex (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(Ex (y,x)) => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(Ex (y,x)) '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (Ex (y,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (Ex (y,x))) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((Ex (y,x)) '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((Ex (y,x)) '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
All (y,(x => H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(x => H))) => ((Ex (y,x)) => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((Ex (y,x)) => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((Ex (y,x)) => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(All (y,(x => H))) '&' ('not' ((Ex (y,x)) => H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (All (y,(x => H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (All (y,(x => H)))) ^ ('not' ((Ex (y,x)) => H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((All (y,(x => H))) '&' ('not' ((Ex (y,x)) => H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((All (y,(x => H))) '&' ('not' ((Ex (y,x)) => H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of a
(a,z,y,b) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H => (All (y,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (All (y,x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' (All (y,x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' (All (y,x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' (All (y,x)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' (All (y,x)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
z . y is Element of a
(a,z,y,(z . y)) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(Ex (y,H)) => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(Ex (y,H)) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (Ex (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (Ex (y,H))) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((Ex (y,H)) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((Ex (y,H)) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is non empty set
[:VAR,a:] is non empty set
bool [:VAR,a:] is non empty set
z is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
z . y is Element of a
(a,z,y,(z . y)) is Relation-like VAR -defined a -valued Function-like V30( VAR ,a) Element of bool [:VAR,a:]
[:NAT,NAT:] is non empty set
bool [:NAT,NAT:] is non empty set
H is set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
rng H is finite set
{0,1,2,3,4} is non empty finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
H is Element of VAR
x is ext-real non negative V8() V9() V10() V14() Element of NAT
H is Element of VAR
{0,1} is non empty finite set
{2,3,4} is non empty finite set
{0,1} \/ {2,3,4} is non empty finite set
x is ext-real non negative V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is set
{0,1} is non empty finite set
{2,3,4} is non empty finite set
{0,1} \/ {2,3,4} is non empty finite set
H is Element of VAR
x is Element of VAR
H '=' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
((H '=' x)) is set
rng (H '=' x) is finite set
(rng (H '=' x)) \ {0,1,2,3,4} is finite Element of bool (rng (H '=' x))
bool (rng (H '=' x)) is non empty finite V37() set
{H,x} is non empty finite set
rng (<*0*> ^ <*H*>) is finite set
rng <*x*> is finite set
(rng (<*0*> ^ <*H*>)) \/ (rng <*x*>) is finite set
rng <*0*> is finite set
rng <*H*> is finite set
(rng <*0*>) \/ (rng <*H*>) is finite set
((rng <*0*>) \/ (rng <*H*>)) \/ (rng <*x*>) is finite set
{0} is non empty finite V37() set
{0} \/ (rng <*H*>) is non empty finite set
({0} \/ (rng <*H*>)) \/ (rng <*x*>) is non empty finite set
{H} is non empty finite set
{0} \/ {H} is non empty finite set
({0} \/ {H}) \/ (rng <*x*>) is non empty finite set
{x} is non empty finite set
({0} \/ {H}) \/ {x} is non empty finite set
{H} \/ {x} is non empty finite set
{0} \/ ({H} \/ {x}) is non empty finite set
{0} \/ {H,x} is non empty finite set
y is set
y is set
H is Element of VAR
x is Element of VAR
H 'in' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
((H 'in' x)) is set
rng (H 'in' x) is finite set
(rng (H 'in' x)) \ {0,1,2,3,4} is finite Element of bool (rng (H 'in' x))
bool (rng (H 'in' x)) is non empty finite V37() set
{H,x} is non empty finite set
rng (<*1*> ^ <*H*>) is finite set
rng <*x*> is finite set
(rng (<*1*> ^ <*H*>)) \/ (rng <*x*>) is finite set
rng <*1*> is finite set
rng <*H*> is finite set
(rng <*1*>) \/ (rng <*H*>) is finite set
((rng <*1*>) \/ (rng <*H*>)) \/ (rng <*x*>) is finite set
{1} \/ (rng <*H*>) is non empty finite set
({1} \/ (rng <*H*>)) \/ (rng <*x*>) is non empty finite set
{H} is non empty finite set
{1} \/ {H} is non empty finite set
({1} \/ {H}) \/ (rng <*x*>) is non empty finite set
{x} is non empty finite set
({1} \/ {H}) \/ {x} is non empty finite set
{H} \/ {x} is non empty finite set
{1} \/ ({H} \/ {x}) is non empty finite set
{1} \/ {H,x} is non empty finite set
y is set
y is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' H)) is set
rng ('not' H) is finite set
(rng ('not' H)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' H))
bool (rng ('not' H)) is non empty finite V37() set
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
rng <*2*> is finite set
(rng <*2*>) \/ (rng H) is finite set
{2} is non empty finite set
{2} \/ (rng H) is non empty finite set
x is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H '&' x)) is set
rng (H '&' x) is finite set
(rng (H '&' x)) \ {0,1,2,3,4} is finite Element of bool (rng (H '&' x))
bool (rng (H '&' x)) is non empty finite V37() set
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
(H) \/ (x) is set
(rng H) \/ (rng x) is finite set
((rng H) \/ (rng x)) \ {0,1,2,3,4} is finite Element of bool ((rng H) \/ (rng x))
bool ((rng H) \/ (rng x)) is non empty finite V37() set
rng (<*3*> ^ H) is finite set
(rng (<*3*> ^ H)) \/ (rng x) is finite set
rng <*3*> is finite set
(rng <*3*>) \/ (rng H) is finite set
((rng <*3*>) \/ (rng H)) \/ (rng x) is finite set
{3} is non empty finite set
{3} \/ (rng H) is non empty finite set
({3} \/ (rng H)) \/ (rng x) is non empty finite set
{3} \/ ((rng H) \/ (rng x)) is non empty finite set
y is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
All (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (x,H))) is set
rng (All (x,H)) is finite set
(rng (All (x,H))) \ {0,1,2,3,4} is finite Element of bool (rng (All (x,H)))
bool (rng (All (x,H))) is non empty finite V37() set
{x} is non empty finite set
(H) \/ {x} is non empty set
rng (<*4*> ^ <*x*>) is finite set
(rng (<*4*> ^ <*x*>)) \/ (rng H) is finite set
rng <*4*> is finite set
rng <*x*> is finite set
(rng <*4*>) \/ (rng <*x*>) is finite set
((rng <*4*>) \/ (rng <*x*>)) \/ (rng H) is finite set
{4} is non empty finite set
{4} \/ (rng <*x*>) is non empty finite set
({4} \/ (rng <*x*>)) \/ (rng H) is non empty finite set
{4} \/ {x} is non empty finite set
({4} \/ {x}) \/ (rng H) is non empty finite set
{x} \/ (rng H) is non empty finite set
{4} \/ ({x} \/ (rng H)) is non empty finite set
y is set
y is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H 'or' x)) is set
rng (H 'or' x) is finite set
(rng (H 'or' x)) \ {0,1,2,3,4} is finite Element of bool (rng (H 'or' x))
bool (rng (H 'or' x)) is non empty finite V37() set
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
(H) \/ (x) is set
((('not' H) '&' ('not' x))) is set
rng (('not' H) '&' ('not' x)) is finite set
(rng (('not' H) '&' ('not' x))) \ {0,1,2,3,4} is finite Element of bool (rng (('not' H) '&' ('not' x)))
bool (rng (('not' H) '&' ('not' x))) is non empty finite V37() set
(('not' H)) is set
rng ('not' H) is finite set
(rng ('not' H)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' H))
bool (rng ('not' H)) is non empty finite V37() set
(('not' x)) is set
rng ('not' x) is finite set
(rng ('not' x)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' x))
bool (rng ('not' x)) is non empty finite V37() set
(('not' H)) \/ (('not' x)) is set
(H) \/ (('not' x)) is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H => x)) is set
rng (H => x) is finite set
(rng (H => x)) \ {0,1,2,3,4} is finite Element of bool (rng (H => x))
bool (rng (H => x)) is non empty finite V37() set
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
(H) \/ (x) is set
((H '&' ('not' x))) is set
rng (H '&' ('not' x)) is finite set
(rng (H '&' ('not' x))) \ {0,1,2,3,4} is finite Element of bool (rng (H '&' ('not' x)))
bool (rng (H '&' ('not' x))) is non empty finite V37() set
(('not' x)) is set
rng ('not' x) is finite set
(rng ('not' x)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' x))
bool (rng ('not' x)) is non empty finite V37() set
(H) \/ (('not' x)) is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((H <=> x)) is set
rng (H <=> x) is finite set
(rng (H <=> x)) \ {0,1,2,3,4} is finite Element of bool (rng (H <=> x))
bool (rng (H <=> x)) is non empty finite V37() set
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
(H) \/ (x) is set
((H => x)) is set
rng (H => x) is finite set
(rng (H => x)) \ {0,1,2,3,4} is finite Element of bool (rng (H => x))
bool (rng (H => x)) is non empty finite V37() set
((x => H)) is set
rng (x => H) is finite set
(rng (x => H)) \ {0,1,2,3,4} is finite Element of bool (rng (x => H))
bool (rng (x => H)) is non empty finite V37() set
((H => x)) \/ ((x => H)) is set
((H) \/ (x)) \/ ((x => H)) is set
((H) \/ (x)) \/ ((H) \/ (x)) is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
Ex (x,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*x*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((Ex (x,H))) is set
rng (Ex (x,H)) is finite set
(rng (Ex (x,H))) \ {0,1,2,3,4} is finite Element of bool (rng (Ex (x,H)))
bool (rng (Ex (x,H))) is non empty finite V37() set
{x} is non empty finite set
(H) \/ {x} is non empty set
((All (x,('not' H)))) is set
rng (All (x,('not' H))) is finite set
(rng (All (x,('not' H)))) \ {0,1,2,3,4} is finite Element of bool (rng (All (x,('not' H))))
bool (rng (All (x,('not' H)))) is non empty finite V37() set
(('not' H)) is set
rng ('not' H) is finite set
(rng ('not' H)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' H))
bool (rng ('not' H)) is non empty finite V37() set
(('not' H)) \/ {x} is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
y is Element of VAR
All (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (x,y,H))) is set
rng (All (x,y,H)) is finite set
(rng (All (x,y,H))) \ {0,1,2,3,4} is finite Element of bool (rng (All (x,y,H)))
bool (rng (All (x,y,H))) is non empty finite V37() set
{x,y} is non empty finite set
(H) \/ {x,y} is non empty set
((All (y,H))) is set
rng (All (y,H)) is finite set
(rng (All (y,H))) \ {0,1,2,3,4} is finite Element of bool (rng (All (y,H)))
bool (rng (All (y,H))) is non empty finite V37() set
{x} is non empty finite set
((All (y,H))) \/ {x} is non empty set
{y} is non empty finite set
(H) \/ {y} is non empty set
((H) \/ {y}) \/ {x} is non empty set
{y} \/ {x} is non empty finite set
(H) \/ ({y} \/ {x}) is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
y is Element of VAR
Ex (x,y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((Ex (x,y,H))) is set
rng (Ex (x,y,H)) is finite set
(rng (Ex (x,y,H))) \ {0,1,2,3,4} is finite Element of bool (rng (Ex (x,y,H)))
bool (rng (Ex (x,y,H))) is non empty finite V37() set
{x,y} is non empty finite set
(H) \/ {x,y} is non empty set
((Ex (y,H))) is set
rng (Ex (y,H)) is finite set
(rng (Ex (y,H))) \ {0,1,2,3,4} is finite Element of bool (rng (Ex (y,H)))
bool (rng (Ex (y,H))) is non empty finite V37() set
{x} is non empty finite set
((Ex (y,H))) \/ {x} is non empty set
{y} is non empty finite set
(H) \/ {y} is non empty set
((H) \/ {y}) \/ {x} is non empty set
{y} \/ {x} is non empty finite set
(H) \/ ({y} \/ {x}) is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
y is Element of VAR
a is Element of VAR
All (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,(All (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (All (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,(All (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ (All (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (x,y,a,H))) is set
rng (All (x,y,a,H)) is finite set
(rng (All (x,y,a,H))) \ {0,1,2,3,4} is finite Element of bool (rng (All (x,y,a,H)))
bool (rng (All (x,y,a,H))) is non empty finite V37() set
{x,y,a} is non empty finite set
(H) \/ {x,y,a} is non empty set
((All (y,a,H))) is set
rng (All (y,a,H)) is finite set
(rng (All (y,a,H))) \ {0,1,2,3,4} is finite Element of bool (rng (All (y,a,H)))
bool (rng (All (y,a,H))) is non empty finite V37() set
{x} is non empty finite set
((All (y,a,H))) \/ {x} is non empty set
{y,a} is non empty finite set
(H) \/ {y,a} is non empty set
((H) \/ {y,a}) \/ {x} is non empty set
{y,a} \/ {x} is non empty finite set
(H) \/ ({y,a} \/ {x}) is non empty set
{y,a,x} is non empty finite set
(H) \/ {y,a,x} is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
y is Element of VAR
a is Element of VAR
Ex (x,y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (y,a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,(Ex (a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' (Ex (a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' (Ex (a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' (Ex (a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' (Ex (a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (x,(Ex (y,a,H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (Ex (y,a,H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (Ex (y,a,H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (x,('not' (Ex (y,a,H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*x*>) ^ ('not' (Ex (y,a,H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (x,('not' (Ex (y,a,H))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (x,('not' (Ex (y,a,H))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((Ex (x,y,a,H))) is set
rng (Ex (x,y,a,H)) is finite set
(rng (Ex (x,y,a,H))) \ {0,1,2,3,4} is finite Element of bool (rng (Ex (x,y,a,H)))
bool (rng (Ex (x,y,a,H))) is non empty finite V37() set
{x,y,a} is non empty finite set
(H) \/ {x,y,a} is non empty set
((Ex (y,a,H))) is set
rng (Ex (y,a,H)) is finite set
(rng (Ex (y,a,H))) \ {0,1,2,3,4} is finite Element of bool (rng (Ex (y,a,H)))
bool (rng (Ex (y,a,H))) is non empty finite V37() set
{x} is non empty finite set
((Ex (y,a,H))) \/ {x} is non empty set
{y,a} is non empty finite set
(H) \/ {y,a} is non empty set
((H) \/ {y,a}) \/ {x} is non empty set
{y,a} \/ {x} is non empty finite set
(H) \/ ({y,a} \/ {x}) is non empty set
{y,a,x} is non empty finite set
(H) \/ {y,a,x} is non empty set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free H is finite Element of bool VAR
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free x is finite Element of bool VAR
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free ('not' x) is finite Element of bool VAR
(('not' x)) is set
rng ('not' x) is finite set
(rng ('not' x)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' x))
bool (rng ('not' x)) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free x is finite Element of bool VAR
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free y is finite Element of bool VAR
(y) is set
rng y is finite set
(rng y) \ {0,1,2,3,4} is finite Element of bool (rng y)
bool (rng y) is non empty finite V37() set
x '&' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (x '&' y) is finite Element of bool VAR
((x '&' y)) is set
rng (x '&' y) is finite set
(rng (x '&' y)) \ {0,1,2,3,4} is finite Element of bool (rng (x '&' y))
bool (rng (x '&' y)) is non empty finite V37() set
(Free x) \/ (Free y) is finite Element of bool VAR
(x) \/ (y) is set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Free x is finite Element of bool VAR
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
y is Element of VAR
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Free (All (y,x)) is finite Element of bool VAR
((All (y,x))) is set
rng (All (y,x)) is finite set
(rng (All (y,x))) \ {0,1,2,3,4} is finite Element of bool (rng (All (y,x)))
bool (rng (All (y,x))) is non empty finite V37() set
{y} is non empty finite set
(Free x) \ {y} is finite Element of bool VAR
(x) \/ {y} is non empty set
x is Element of VAR
y is Element of VAR
x '=' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
Free (x '=' y) is finite Element of bool VAR
((x '=' y)) is set
rng (x '=' y) is finite set
(rng (x '=' y)) \ {0,1,2,3,4} is finite Element of bool (rng (x '=' y))
bool (rng (x '=' y)) is non empty finite V37() set
x 'in' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
Free (x 'in' y) is finite Element of bool VAR
((x 'in' y)) is set
rng (x 'in' y) is finite set
(rng (x 'in' y)) \ {0,1,2,3,4} is finite Element of bool (rng (x 'in' y))
bool (rng (x 'in' y)) is non empty finite V37() set
{x,y} is non empty finite set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is set
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(y) is set
rng y is finite set
(rng y) \ {0,1,2,3,4} is finite Element of bool (rng y)
bool (rng y) is non empty finite V37() set
x '&' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((x '&' y)) is set
rng (x '&' y) is finite set
(rng (x '&' y)) \ {0,1,2,3,4} is finite Element of bool (rng (x '&' y))
bool (rng (x '&' y)) is non empty finite V37() set
(x) \/ (y) is set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
y is Element of VAR
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (y,x))) is set
rng (All (y,x)) is finite set
(rng (All (y,x))) \ {0,1,2,3,4} is finite Element of bool (rng (All (y,x)))
bool (rng (All (y,x))) is non empty finite V37() set
{y} is non empty finite set
(x) \/ {y} is non empty set
x is Element of VAR
y is Element of VAR
x '=' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
((x '=' y)) is set
rng (x '=' y) is finite set
(rng (x '=' y)) \ {0,1,2,3,4} is finite Element of bool (rng (x '=' y))
bool (rng (x '=' y)) is non empty finite V37() set
x 'in' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*x*>) ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
((x 'in' y)) is set
rng (x 'in' y) is finite set
(rng (x 'in' y)) \ {0,1,2,3,4} is finite Element of bool (rng (x 'in' y))
bool (rng (x 'in' y)) is non empty finite V37() set
{x,y} is non empty finite set
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x) is set
rng x is finite set
(rng x) \ {0,1,2,3,4} is finite Element of bool (rng x)
bool (rng x) is non empty finite V37() set
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' x)) is set
rng ('not' x) is finite set
(rng ('not' x)) \ {0,1,2,3,4} is finite Element of bool (rng ('not' x))
bool (rng ('not' x)) is non empty finite V37() set
x is non empty set
y is set
0 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
a is ext-real non negative V8() V9() V10() V14() Element of NAT
3 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
2 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
4 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
dom H is finite Element of bool NAT
x is Element of VAR
y is Element of VAR
a is Relation-like Function-like set
dom a is set
z is Relation-like Function-like set
dom z is set
b is set
H . b is set
a . b is set
z . b is set
H is Element of VAR
x is Element of VAR
H '=' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
y is Element of VAR
a is Element of VAR
((H '=' x),y,a) is Relation-like Function-like set
z is Element of VAR
b is Element of VAR
z '=' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*z*>) ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(H '=' x) . 1 is set
len (H '=' x) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom (H '=' x) is finite Element of bool NAT
len (z '=' b) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom (z '=' b) is finite Element of bool NAT
Var1 (z '=' b) is Element of VAR
(z '=' b) . 2 is set
Var2 (z '=' b) is Element of VAR
(z '=' b) . 3 is set
Var2 (H '=' x) is Element of VAR
(H '=' x) . 3 is set
Var1 (H '=' x) is Element of VAR
(H '=' x) . 2 is set
dom ((H '=' x),y,a) is set
p2 is set
(z '=' b) . p2 is set
((H '=' x),y,a) . p2 is set
(z '=' b) . 1 is set
p2 is set
(z '=' b) . p2 is set
((H '=' x),y,a) . p2 is set
p2 is set
(z '=' b) . p2 is set
((H '=' x),y,a) . p2 is set
p2 is set
(z '=' b) . p2 is set
((H '=' x),y,a) . p2 is set
H is Element of VAR
x is Element of VAR
H '=' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
y is Element of VAR
a is Element of VAR
((H '=' x),y,a) is Relation-like Function-like set
z is Element of VAR
b is Element of VAR
z '=' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*z*>) ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
H is Element of VAR
x is Element of VAR
H 'in' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
y is Element of VAR
a is Element of VAR
((H 'in' x),y,a) is Relation-like Function-like set
z is Element of VAR
b is Element of VAR
z 'in' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*z*>) ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(H 'in' x) . 1 is set
len (H 'in' x) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom (H 'in' x) is finite Element of bool NAT
len (z 'in' b) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom (z 'in' b) is finite Element of bool NAT
Var1 (z 'in' b) is Element of VAR
(z 'in' b) . 2 is set
Var2 (z 'in' b) is Element of VAR
(z 'in' b) . 3 is set
Var2 (H 'in' x) is Element of VAR
(H 'in' x) . 3 is set
Var1 (H 'in' x) is Element of VAR
(H 'in' x) . 2 is set
dom ((H 'in' x),y,a) is set
p2 is set
(z 'in' b) . p2 is set
((H 'in' x),y,a) . p2 is set
(z 'in' b) . 1 is set
p2 is set
(z 'in' b) . p2 is set
((H 'in' x),y,a) . p2 is set
p2 is set
(z 'in' b) . p2 is set
((H 'in' x),y,a) . p2 is set
p2 is set
(z 'in' b) . p2 is set
((H 'in' x),y,a) . p2 is set
H is Element of VAR
x is Element of VAR
H 'in' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H*>) ^ <*x*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
y is Element of VAR
a is Element of VAR
((H 'in' x),y,a) is Relation-like Function-like set
z is Element of VAR
b is Element of VAR
z 'in' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*z*>) ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
(('not' x),y,a) is Relation-like Function-like set
(x,y,a) is Relation-like Function-like set
len <*2*> is ext-real non negative V8() V9() V10() V14() Element of NAT
dom ('not' H) is finite Element of bool NAT
len ('not' H) is ext-real non negative V8() V9() V10() V14() Element of NAT
Seg (len ('not' H)) is finite V40( len ('not' H)) Element of bool NAT
dom ('not' x) is finite Element of bool NAT
len ('not' x) is ext-real non negative V8() V9() V10() V14() Element of NAT
Seg (len ('not' x)) is finite V40( len ('not' x)) Element of bool NAT
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
(len <*2*>) + (len H) is ext-real non negative V8() V9() V10() V14() Element of NAT
len x is ext-real non negative V8() V9() V10() V14() Element of NAT
(len <*2*>) + (len x) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom H is finite Element of bool NAT
Seg (len H) is finite V40( len H) Element of bool NAT
dom x is finite Element of bool NAT
Seg (len x) is finite V40( len x) Element of bool NAT
b is set
H . b is set
s is ext-real non negative V8() V9() V10() V14() Element of NAT
1 + s is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(('not' x),y,a) . (1 + s) is set
dom (('not' x),y,a) is set
('not' x) . (1 + s) is set
x . b is set
(x,y,a) . b is set
dom (x,y,a) is set
dom <*2*> is finite Element of bool NAT
b is set
('not' x) . b is set
(('not' x),y,a) . b is set
s is ext-real non negative V8() V9() V10() V14() Element of NAT
H1 is ext-real non negative V8() V9() V10() V14() set
1 + H1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
x . H1 is set
('not' x) . s is set
H . H1 is set
('not' H) . s is set
('not' H) . b is set
('not' x) . 1 is set
dom (('not' x),y,a) is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x '&' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
(x,z,b) is Relation-like Function-like set
(a,z,b) is Relation-like Function-like set
((x '&' a),z,b) is Relation-like Function-like set
dom <*3*> is finite Element of bool NAT
dom (H '&' y) is finite Element of bool NAT
len (H '&' y) is ext-real non negative V8() V9() V10() V14() Element of NAT
Seg (len (H '&' y)) is finite V40( len (H '&' y)) Element of bool NAT
dom (x '&' a) is finite Element of bool NAT
len (x '&' a) is ext-real non negative V8() V9() V10() V14() Element of NAT
Seg (len (x '&' a)) is finite V40( len (x '&' a)) Element of bool NAT
len <*3*> is ext-real non negative V8() V9() V10() V14() Element of NAT
len (<*3*> ^ H) is ext-real non negative V8() V9() V10() V14() Element of NAT
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
1 + (len H) is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
len y is ext-real non negative V8() V9() V10() V14() Element of NAT
(1 + (len H)) + (len y) is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
len (<*3*> ^ x) is ext-real non negative V8() V9() V10() V14() Element of NAT
len x is ext-real non negative V8() V9() V10() V14() Element of NAT
1 + (len x) is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
len a is ext-real non negative V8() V9() V10() V14() Element of NAT
(1 + (len x)) + (len a) is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
dom (<*3*> ^ x) is finite Element of bool NAT
Seg (1 + (len x)) is non empty finite V40(1 + (len x)) Element of bool NAT
dom ((x '&' a),z,b) is set
dom H is finite Element of bool NAT
dom x is finite Element of bool NAT
dom y is finite Element of bool NAT
dom a is finite Element of bool NAT
dom (<*3*> ^ H) is finite Element of bool NAT
Seg (1 + (len H)) is non empty finite V40(1 + (len H)) Element of bool NAT
H1 is set
H2 is ext-real non negative V8() V9() V10() V14() Element of NAT
(x '&' a) . 1 is set
((x '&' a),z,b) . H2 is set
((x '&' a),z,b) . H1 is set
(H '&' y) . H1 is set
(H '&' y) . H2 is set
(<*3*> ^ H) . H2 is set
(x '&' a) . H2 is set
(<*3*> ^ x) . H2 is set
(x '&' a) . H1 is set
p2 is ext-real non negative V8() V9() V10() V14() set
1 + p2 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H . p2 is set
x . p2 is set
p2 is ext-real non negative V8() V9() V10() V14() set
(1 + (len H)) + p2 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
y . p2 is set
a . p2 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
a is Element of VAR
(x,y,a) is Relation-like Function-like set
z is Element of VAR
All (z,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*z*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
All (b,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (b,x)),y,a) is Relation-like Function-like set
len <*4*> is ext-real non negative V8() V9() V10() V14() Element of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
len <*b*> is ext-real non negative V8() V9() V10() V14() Element of NAT
len (<*4*> ^ <*b*>) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom (<*4*> ^ <*b*>) is finite Element of bool NAT
len (All (b,x)) is ext-real non negative V8() V9() V10() V14() Element of NAT
len x is ext-real non negative V8() V9() V10() V14() Element of NAT
2 + (len x) is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
dom (All (b,x)) is finite Element of bool NAT
Seg (2 + (len x)) is non empty finite V40(2 + (len x)) Element of bool NAT
<*4,z*> is non empty Relation-like NAT -defined Function-like finite V40(2) FinSequence-like FinSubsequence-like set
<*4,b*> is non empty Relation-like NAT -defined Function-like finite V40(2) FinSequence-like FinSubsequence-like set
dom ((All (b,x)),y,a) is set
dom H is finite Element of bool NAT
dom x is finite Element of bool NAT
len <*z*> is ext-real non negative V8() V9() V10() V14() Element of NAT
len (<*4*> ^ <*z*>) is ext-real non negative V8() V9() V10() V14() Element of NAT
dom (<*4*> ^ <*z*>) is finite Element of bool NAT
H1 is set
<*4,z*> . 1 is set
<*4,b*> . 1 is set
<*4,z*> . 2 is set
<*4,b*> . 2 is set
H2 is ext-real non negative V8() V9() V10() V14() Element of NAT
(All (z,H)) . H2 is set
<*4,z*> . H2 is set
(All (b,x)) . H2 is set
<*4,b*> . H2 is set
(All (z,H)) . H1 is set
((All (b,x)),y,a) . H1 is set
(All (b,x)) . H1 is set
p2 is ext-real non negative V8() V9() V10() V14() set
2 + p2 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
H . p2 is set
x . p2 is set
len (All (z,H)) is ext-real non negative V8() V9() V10() V14() Element of NAT
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
2 + (len H) is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
dom (All (z,H)) is finite Element of bool NAT
Seg (2 + (len H)) is non empty finite V40(2 + (len H)) Element of bool NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like Function-like set
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,x,y) is Relation-like Function-like set
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(('not' a),x,y) is Relation-like Function-like set
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,x,y) is Relation-like Function-like set
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(z,x,y) is Relation-like Function-like set
a '&' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ a) ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((a '&' z),x,y) is Relation-like Function-like set
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
b '&' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ b) ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,x,y) is Relation-like Function-like set
z is Element of VAR
All (z,a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*z*>) ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (z,a)),x,y) is Relation-like Function-like set
s is Element of VAR
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (s,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of VAR
z is Element of VAR
a '=' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*a*>) ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
((a '=' z),x,y) is Relation-like Function-like set
a 'in' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*a*>) ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
((a 'in' z),x,y) is Relation-like Function-like set
b is Element of VAR
s is Element of VAR
b '=' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*b*>) ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
H1 is Element of VAR
H2 is Element of VAR
H1 'in' H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*H1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*H2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*H1*>) ^ <*H2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like Function-like set
dom (H,x,y) is set
dom H is finite Element of bool NAT
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
Seg (len H) is finite V40( len H) Element of bool NAT
z is set
H . z is set
(H,x,y) . z is set
a is Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like set
rng a is finite set
z is set
dom a is finite Element of bool NAT
b is set
a . b is set
rng H is finite set
H . b is set
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H '&' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y '&' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
((y '&' a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(y,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(y,z,b) '&' (a,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (y,z,b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (y,z,b)) ^ (a,z,b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of VAR
z is Element of VAR
((All (y,x)),a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x,a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,(x,a,z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (x,a,z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
All (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of VAR
All (a,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*a*>) ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((All (a,x)),a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x,a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,(x,a,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ (x,a,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H 'or' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' H) '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' H)) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' H) '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' H) '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y 'or' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' y) '&' ('not' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' y)) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' y) '&' ('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' y) '&' ('not' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
((y 'or' a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(y,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(('not' y),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(('not' a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((('not' y) '&' ('not' a)),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y => a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y '&' ('not' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (y '&' ('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (y '&' ('not' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
((y => a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(y,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(('not' a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((y '&' ('not' a)),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H <=> x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H => x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H '&' ('not' x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H '&' ('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H '&' ('not' x)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x => H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
x '&' ('not' H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ x) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (x '&' ('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (x '&' ('not' H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H => x) '&' (x => H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (H => x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (H => x)) ^ (x => H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y <=> a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y => a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
y '&' ('not' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ y) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (y '&' ('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (y '&' ('not' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a => y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' y is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ y is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a '&' ('not' y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ a) ^ ('not' y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (a '&' ('not' y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a '&' ('not' y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(y => a) '&' (a => y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (y => a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (y => a)) ^ (a => y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Element of VAR
b is Element of VAR
((y <=> a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(y,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((y => a),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((a => y),z,b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of VAR
z is Element of VAR
((Ex (y,x)),a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x,a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(('not' x),a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((All (y,('not' x))),a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is Element of VAR
Ex (y,H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ H is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,('not' H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*y*>) ^ ('not' H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of VAR
Ex (a,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' x is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ x is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' x)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*a*>) ^ ('not' x) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' x))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' x))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((Ex (a,x)),a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(x,a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(('not' x),a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((All (a,('not' x))),a,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Element of VAR
z is Element of VAR
a '=' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*a*>) ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
b is Element of VAR
s is Element of VAR
b '=' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*0*> ^ <*b*>) ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(H,x,y) . 1 is set
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
dom H is finite Element of bool NAT
H . 1 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Element of VAR
z is Element of VAR
a 'in' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
<*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*a*>) ^ <*z*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(1 + 1) + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
b is Element of VAR
s is Element of VAR
b 'in' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*1*> ^ <*b*>) ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40((1 + 1) + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(H,x,y) . 1 is set
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
dom H is finite Element of bool NAT
H . 1 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(a,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (a,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H,x,y) . 1 is set
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
dom H is finite Element of bool NAT
H . 1 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a '&' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ a) ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(a,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,x,y) '&' (z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (a,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (a,x,y)) ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H,x,y) . 1 is set
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
dom H is finite Element of bool NAT
H . 1 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
(z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (b,(z,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H,x,y) . 1 is set
len H is ext-real non negative V8() V9() V10() V14() Element of NAT
dom H is finite Element of bool NAT
H . 1 is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_argument_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_argument_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_argument_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_argument_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_left_argument_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_right_argument_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of (H,x,y)) '&' (the_right_argument_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_argument_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_argument_of (H,x,y))) ^ (the_right_argument_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_argument_of H) '&' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_argument_of H)) ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_scope_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in (H,x,y) is Element of VAR
All ((bound_in (H,x,y)),(the_scope_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in (H,x,y))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in (H,x,y))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in (H,x,y))*>) ^ (the_scope_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*(bound_in H)*>) ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),((the_scope_of H),x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*(bound_in H)*>) ^ ((the_scope_of H),x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (y,((the_scope_of H),x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ((the_scope_of H),x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z 'or' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' z) '&' ('not' b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' z)) ^ ('not' b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' z) '&' ('not' b)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' z) '&' ('not' b)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(z,x,y) 'or' (b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (b,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (z,x,y)) '&' ('not' (b,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' (z,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (z,x,y))) ^ ('not' (b,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (z,x,y)) '&' ('not' (b,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (z,x,y)) '&' ('not' (b,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z 'or' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' z) '&' ('not' b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' z)) ^ ('not' b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' z) '&' ('not' b)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' z) '&' ('not' b)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(s,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H1 '&' H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H1) ^ H2 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H2,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
p2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' p2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ p2 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H1,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
p1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' p1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ p1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
p1 'or' p2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
('not' p1) '&' ('not' p2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' p1) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' p1)) ^ ('not' p2) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' p1) '&' ('not' p2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' p1) '&' ('not' p2)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z => b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z '&' ('not' b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ z) ^ ('not' b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (z '&' ('not' b)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (z '&' ('not' b)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(z,x,y) => (b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (b,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(z,x,y) '&' ('not' (b,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (z,x,y)) ^ ('not' (b,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((z,x,y) '&' ('not' (b,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((z,x,y) '&' ('not' (b,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z => b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z '&' ('not' b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ z) ^ ('not' b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (z '&' ('not' b)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (z '&' ('not' b)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(s,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H1 '&' H2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ H1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ H1) ^ H2 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(H2,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
p2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' p2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ p2 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H1 => p2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
H1 '&' ('not' p2) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*3*> ^ H1) ^ ('not' p2) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (H1 '&' ('not' p2)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (H1 '&' ('not' p2)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a <=> z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a => z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a '&' ('not' z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ a) ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (a '&' ('not' z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a '&' ('not' z)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z => a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' a is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ a is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
z '&' ('not' a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ z) ^ ('not' a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (z '&' ('not' a)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (z '&' ('not' a)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(a => z) '&' (z => a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (a => z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (a => z)) ^ (z => a) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(a,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,x,y) <=> (z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(a,x,y) => (z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(a,x,y) '&' ('not' (z,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (a,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (a,x,y)) ^ ('not' (z,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((a,x,y) '&' ('not' (z,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((a,x,y) '&' ('not' (z,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(z,x,y) => (a,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (a,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (a,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(z,x,y) '&' ('not' (a,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (z,x,y)) ^ ('not' (a,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((z,x,y) '&' ('not' (a,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((z,x,y) '&' ('not' (a,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((a,x,y) => (z,x,y)) '&' ((z,x,y) => (a,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((a,x,y) => (z,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((a,x,y) => (z,x,y))) ^ ((z,x,y) => (a,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Element of VAR
(z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (b,(z,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (z,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (z,x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (b,('not' (z,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*b*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*b*>) ^ ('not' (z,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (b,('not' (z,x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (b,('not' (z,x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
a is Element of VAR
z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex (a,z) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' z is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ z is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All (a,('not' z)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*a*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*a*>) ^ ('not' z) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (a,('not' z))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (a,('not' z))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ b is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
bound_in b is Element of VAR
s is Element of VAR
(b,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of b is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All ((bound_in b),(the_scope_of b)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(bound_in b)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in b)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*(bound_in b)*>) ^ (the_scope_of b) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_scope_of b),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (s,((the_scope_of b),x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*s*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*s*>) ^ ((the_scope_of b),x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
the_argument_of (the_scope_of b) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
Ex ((bound_in b),(the_argument_of (the_scope_of b))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_argument_of (the_scope_of b)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_argument_of (the_scope_of b)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in b),('not' (the_argument_of (the_scope_of b)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*(bound_in b)*>) ^ ('not' (the_argument_of (the_scope_of b))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in b),('not' (the_argument_of (the_scope_of b))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in b),('not' (the_argument_of (the_scope_of b))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_argument_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_left_argument_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_argument_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_right_argument_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_argument_of (H,x,y)) 'or' (the_right_argument_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_left_argument_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of (H,x,y))) '&' ('not' (the_right_argument_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of (H,x,y)))) ^ ('not' (the_right_argument_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of (H,x,y))) '&' ('not' (the_right_argument_of (H,x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of (H,x,y))) '&' ('not' (the_right_argument_of (H,x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_argument_of H) 'or' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (the_right_argument_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_argument_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ('not' (the_left_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ('not' (the_left_argument_of H))) ^ ('not' (the_right_argument_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (('not' (the_left_argument_of H)) '&' ('not' (the_right_argument_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_antecedent_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_antecedent_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_consequent_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_consequent_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_antecedent_of (H,x,y)) => (the_consequent_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_consequent_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of (H,x,y)) '&' ('not' (the_consequent_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_antecedent_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of (H,x,y))) ^ ('not' (the_consequent_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of (H,x,y)) '&' ('not' (the_consequent_of (H,x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of (H,x,y)) '&' ('not' (the_consequent_of (H,x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of H) => (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_consequent_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_consequent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_antecedent_of H) '&' ('not' (the_consequent_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_antecedent_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_antecedent_of H)) ^ ('not' (the_consequent_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_antecedent_of H) '&' ('not' (the_consequent_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_left_side_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_left_side_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_right_side_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_right_side_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) <=> (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of H) => (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of H) '&' ('not' (the_right_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*3*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of H)) ^ ('not' (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of H) '&' ('not' (the_right_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) => (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of H) '&' ('not' (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of H)) ^ ('not' (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of H) '&' ('not' (the_left_side_of H))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of H) => (the_right_side_of H)) '&' ((the_right_side_of H) => (the_left_side_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of H) => (the_right_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of H) => (the_right_side_of H))) ^ ((the_right_side_of H) => (the_left_side_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of (H,x,y)) <=> (the_right_side_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(the_left_side_of (H,x,y)) => (the_right_side_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_right_side_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_right_side_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_left_side_of (H,x,y)) '&' ('not' (the_right_side_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_left_side_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_left_side_of (H,x,y))) ^ ('not' (the_right_side_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_left_side_of (H,x,y)) '&' ('not' (the_right_side_of (H,x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_left_side_of (H,x,y)) '&' ('not' (the_right_side_of (H,x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of (H,x,y)) => (the_left_side_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_left_side_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_left_side_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(the_right_side_of (H,x,y)) '&' ('not' (the_left_side_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ (the_right_side_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ (the_right_side_of (H,x,y))) ^ ('not' (the_left_side_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' ((the_right_side_of (H,x,y)) '&' ('not' (the_left_side_of (H,x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_right_side_of (H,x,y)) '&' ('not' (the_left_side_of (H,x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
((the_left_side_of (H,x,y)) => (the_right_side_of (H,x,y))) '&' ((the_right_side_of (H,x,y)) => (the_left_side_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*3*> ^ ((the_left_side_of (H,x,y)) => (the_right_side_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(<*3*> ^ ((the_left_side_of (H,x,y)) => (the_right_side_of (H,x,y)))) ^ ((the_right_side_of (H,x,y)) => (the_left_side_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in H is Element of VAR
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
the_scope_of (H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((the_scope_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
bound_in (H,x,y) is Element of VAR
Ex ((bound_in (H,x,y)),(the_scope_of (H,x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_scope_of (H,x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*2*> ^ (the_scope_of (H,x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in (H,x,y)),('not' (the_scope_of (H,x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*4*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(bound_in (H,x,y))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in (H,x,y))*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
1 + 1 is ext-real positive non negative non empty V8() V9() V10() V14() Element of NAT
(<*4*> ^ <*(bound_in (H,x,y))*>) ^ ('not' (the_scope_of (H,x,y))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in (H,x,y)),('not' (the_scope_of (H,x,y))))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in (H,x,y)),('not' (the_scope_of (H,x,y))))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex ((bound_in H),(the_scope_of H)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' (the_scope_of H) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (the_scope_of H) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),('not' (the_scope_of H))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*(bound_in H)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*(bound_in H)*>) ^ ('not' (the_scope_of H)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in H),('not' (the_scope_of H)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in H),('not' (the_scope_of H)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex ((bound_in H),((the_scope_of H),x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
'not' ((the_scope_of H),x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ ((the_scope_of H),x,y) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
All ((bound_in H),('not' ((the_scope_of H),x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(<*4*> ^ <*(bound_in H)*>) ^ ('not' ((the_scope_of H),x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All ((bound_in H),('not' ((the_scope_of H),x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All ((bound_in H),('not' ((the_scope_of H),x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
Ex (y,((the_scope_of H),x,y)) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
All (y,('not' ((the_scope_of H),x,y))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*4*> ^ <*y*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V40(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(<*4*> ^ <*y*>) ^ ('not' ((the_scope_of H),x,y)) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
'not' (All (y,('not' ((the_scope_of H),x,y)))) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
<*2*> ^ (All (y,('not' ((the_scope_of H),x,y)))) is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is non empty Element of bool VAR
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is set
dom H is finite Element of bool NAT
H . a is set
(H,x,y) . a is set
dom (H,x,y) is finite Element of bool NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
(H,x,x) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
y is set
dom H is finite Element of bool NAT
H . y is set
(H,x,x) . y is set
dom (H,x,x) is finite Element of bool NAT
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((H,x,y)) is non empty Element of bool VAR
rng (H,x,y) is finite set
(rng (H,x,y)) \ {0,1,2,3,4} is finite Element of bool (rng (H,x,y))
bool (rng (H,x,y)) is non empty finite V37() set
dom (H,x,y) is finite Element of bool NAT
a is set
(H,x,y) . a is set
dom H is finite Element of bool NAT
H . a is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is non empty Element of bool VAR
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((H,x,y)) is non empty Element of bool VAR
rng (H,x,y) is finite set
(rng (H,x,y)) \ {0,1,2,3,4} is finite Element of bool (rng (H,x,y))
bool (rng (H,x,y)) is non empty finite V37() set
dom H is finite Element of bool NAT
a is set
H . a is set
dom (H,x,y) is finite Element of bool NAT
(H,x,y) . a is set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
x is Element of VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
a is Element of VAR
((H,x,y),x,a) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((H,x,y)) is non empty Element of bool VAR
rng (H,x,y) is finite set
(rng (H,x,y)) \ {0,1,2,3,4} is finite Element of bool (rng (H,x,y))
bool (rng (H,x,y)) is non empty finite V37() set
H is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
(H) is non empty Element of bool VAR
rng H is finite set
(rng H) \ {0,1,2,3,4} is finite Element of bool (rng H)
bool (rng H) is non empty finite V37() set
x is Element of VAR
{x} is non empty finite set
(H) \ {x} is Element of bool VAR
y is Element of VAR
(H,x,y) is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like ZF-formula-like FinSequence of NAT
((H,x,y)) is non empty Element of bool VAR
rng (H,x,y) is finite set
(rng (H,x,y)) \ {0,1,2,3,4} is finite Element of bool (rng (H,x,y))
bool (rng (H,x,y)) is non empty finite V37() set
{y} is non empty finite set
((H) \ {x}) \/ {y} is non empty set
a is set
dom (H,x,y) is finite Element of bool NAT
z is Element of VAR
b is set
(H,x,y) . b is set
dom H is finite Element of bool NAT
H . b is set