:: TURING_1 semantic presentation

REAL is non empty non trivial non finite set
NAT is non empty epsilon-transitive epsilon-connected ordinal Element of bool REAL
bool REAL is non empty set
COMPLEX is non empty non trivial non finite set
RAT is non empty non trivial non finite set
INT is non empty non trivial non finite set
[:COMPLEX,COMPLEX:] is non empty set
bool [:COMPLEX,COMPLEX:] is non empty set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty set
[:REAL,REAL:] is non empty set
bool [:REAL,REAL:] is non empty set
[:[:REAL,REAL:],REAL:] is non empty set
bool [:[:REAL,REAL:],REAL:] is non empty set
[:RAT,RAT:] is non empty set
bool [:RAT,RAT:] is non empty set
[:[:RAT,RAT:],RAT:] is non empty set
bool [:[:RAT,RAT:],RAT:] is non empty set
[:INT,INT:] is non empty set
bool [:INT,INT:] is non empty set
[:[:INT,INT:],INT:] is non empty set
bool [:[:INT,INT:],INT:] is non empty set
[:NAT,NAT:] is non empty set
[:[:NAT,NAT:],NAT:] is non empty set
bool [:[:NAT,NAT:],NAT:] is non empty set
omega is non empty epsilon-transitive epsilon-connected ordinal set
bool omega is non empty set
bool NAT is non empty set
K240(NAT) is V46() set
K384() is V72() V100() L8()
K189() is Relation-like [:INT,INT:] -defined INT -valued Function-like quasi_total Element of bool [:[:INT,INT:],INT:]
G8(INT,K189()) is V100() L8()
the U1 of K384() is set
{} is empty functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V24() V25() integer finite V36() FinSequence-membered ext-real set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real positive Element of NAT
{{},1} is non empty finite set
K503() is set
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
K518(NAT) is non empty functional M13(NAT * , NAT )
K453((NAT *),NAT) is M13(NAT * , NAT )
{ b₁ where b₁ is Relation-like NAT * -defined NAT -valued Function-like M14(NAT * , NAT ,K453((NAT *),NAT)) : b₁ is homogeneous } is set
bool K518(NAT) is non empty set
K396(K518(NAT)) is non empty Element of bool (bool K518(NAT))
bool (bool K518(NAT)) is non empty set
[:NAT,K396(K518(NAT)):] is non empty set
bool [:NAT,K396(K518(NAT)):] is non empty set
2 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real positive Element of NAT
0 is empty functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V24() V25() integer finite V36() FinSequence-membered ext-real Element of NAT
3 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real positive Element of NAT
Seg 1 is non empty finite V39(1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 1 ) } is set
Seg 2 is non empty finite V39(2) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 2 ) } is set
[+] is non empty Relation-like NAT * -defined Function-like V53() homogeneous V147() V152() V153(2) set
1 proj 1 is non empty Relation-like NAT * -defined Function-like V53() homogeneous V147() V152() V153(1) set
1 |-> NAT is Relation-like NAT -defined bool REAL -valued Function-like finite FinSequence-like FinSubsequence-like Element of 1 -tuples_on (bool REAL)
1 -tuples_on (bool REAL) is FinSequenceSet of bool REAL
K408((1 |-> NAT),1) is Relation-like Function-like set
3 succ 3 is non empty Relation-like NAT * -defined Function-like V53() homogeneous V147() V152() V153(3) set
K523((1 proj 1),(3 succ 3),2) is non empty Relation-like NAT * -defined NAT -valued Function-like V53() homogeneous quasi_total V147() V152() V153(2) M14(NAT * , NAT ,K518(NAT))
4 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real positive Element of NAT
s is non empty set
t is non empty set
[:s,t:] is non empty set
bool [:s,t:] is non empty set
h is Relation-like s -defined t -valued Function-like quasi_total Element of bool [:s,t:]
n is Relation-like s -defined t -valued Function-like Element of bool [:s,t:]
h +* n is Relation-like Function-like set
h1 is set
proj1 n is set
h +* n is Relation-like s -defined t -valued Function-like Element of bool [:s,t:]
(h +* n) . h1 is set
n . h1 is set
proj1 n is set
h +* n is Relation-like s -defined t -valued Function-like Element of bool [:s,t:]
(h +* n) . h1 is set
h . h1 is set
proj1 n is set
h +* n is Relation-like s -defined t -valued Function-like Element of bool [:s,t:]
h +* n is Relation-like s -defined t -valued Function-like Element of bool [:s,t:]
proj1 h is set
proj1 n is set
proj1 (h +* n) is set
(proj1 h) \/ (proj1 n) is set
s is non empty set
t is non empty set
h is Element of s
n is Element of t
h .--> n is Relation-like s -defined {h} -defined t -valued Function-like one-to-one finite set
{h} is non empty finite set
{h} --> n is non empty Relation-like {h} -defined t -valued {n} -valued Function-like constant total quasi_total finite Element of bool [:{h},{n}:]
{n} is non empty finite set
[:{h},{n}:] is non empty finite set
bool [:{h},{n}:] is non empty finite V36() set
[:s,t:] is non empty set
bool [:s,t:] is non empty set
proj1 (h .--> n) is finite set
{h} is non empty finite Element of bool s
bool s is non empty set
proj2 (h .--> n) is finite set
{n} is non empty finite Element of bool t
bool t is non empty set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
succ s is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : b₁ <= s } is set
t is Element of bool NAT
h is Element of bool NAT
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
(s) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : b₁ <= s } is set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(t) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer finite ext-real Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : b₁ <= t } is set
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s is Relation-like Function-like set
h1 is set
t is set
h is set
[t,h] is V1() set
n is set
[t,h] .--> n is Relation-like {[t,h]} -defined Function-like one-to-one finite set
{[t,h]} is non empty finite set
{[t,h]} --> n is non empty Relation-like {[t,h]} -defined {n} -valued Function-like constant total quasi_total finite Element of bool [:{[t,h]},{n}:]
{n} is non empty finite set
[:{[t,h]},{n}:] is non empty finite set
bool [:{[t,h]},{n}:] is non empty finite V36() set
s +* ([t,h] .--> n) is Relation-like Function-like set
s1 is set
[h1,s1] is V1() set
(s +* ([t,h] .--> n)) . [h1,s1] is set
s . [h1,s1] is set
proj1 ([t,h] .--> n) is finite set
s is Relation-like Function-like set
s1 is set
h is set
t is set
[t,h] is V1() set
n is set
[t,h] .--> n is Relation-like {[t,h]} -defined Function-like one-to-one finite set
{[t,h]} is non empty finite set
{[t,h]} --> n is non empty Relation-like {[t,h]} -defined {n} -valued Function-like constant total quasi_total finite Element of bool [:{[t,h]},{n}:]
{n} is non empty finite set
[:{[t,h]},{n}:] is non empty finite set
bool [:{[t,h]},{n}:] is non empty finite V36() set
s +* ([t,h] .--> n) is Relation-like Function-like set
h1 is set
[h1,s1] is V1() set
(s +* ([t,h] .--> n)) . [h1,s1] is set
s . [h1,s1] is set
proj1 ([t,h] .--> n) is finite set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
t | s is Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like set
Seg s is finite V39(s) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= s ) } is set
t | (Seg s) is Relation-like finite FinSubsequence-like set
t | (Seg s) is Relation-like NAT -defined NAT -valued Function-like finite FinSubsequence-like Element of bool [:NAT,NAT:]
bool [:NAT,NAT:] is non empty set
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
proj1 (t | (Seg s)) is finite set
dom t is finite Element of bool NAT
t . n is set
(t | (Seg s)) . n is set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*s,t*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s] is V1() set
{[1,s]} is non empty finite set
<*t*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,t] is V1() set
{[1,t]} is non empty finite set
<*s*> ^ <*t*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1,<*s,t*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*s,t*> | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,<*s,t*>) is V24() V25() integer ext-real Element of INT
K241(INT,(1,<*s,t*>),K189()) is V24() V25() integer ext-real Element of INT
(2,<*s,t*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*s,t*> | (Seg 2) is Relation-like finite FinSubsequence-like set
Sum (2,<*s,t*>) is V24() V25() integer ext-real Element of INT
K241(INT,(2,<*s,t*>),K189()) is V24() V25() integer ext-real Element of INT
s + t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h is V24() V25() integer ext-real Element of INT
<*h*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of INT
[1,h] is V1() set
{[1,h]} is non empty finite set
Sum <*h*> is V24() V25() integer ext-real Element of INT
K241(INT,<*h*>,K189()) is V24() V25() integer ext-real Element of INT
len <*s,t*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is V24() V25() integer ext-real Element of INT
<*h,n*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of INT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
Sum <*h,n*> is V24() V25() integer ext-real Element of INT
K241(INT,<*h,n*>,K189()) is V24() V25() integer ext-real Element of INT
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*s,t,h*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s] is V1() set
{[1,s]} is non empty finite set
<*t*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,t] is V1() set
{[1,t]} is non empty finite set
<*s*> ^ <*t*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
(<*s*> ^ <*t*>) ^ <*h*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1,<*s,t,h*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*s,t,h*> | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,<*s,t,h*>) is V24() V25() integer ext-real Element of INT
K241(INT,(1,<*s,t,h*>),K189()) is V24() V25() integer ext-real Element of INT
(2,<*s,t,h*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*s,t,h*> | (Seg 2) is Relation-like finite FinSubsequence-like set
Sum (2,<*s,t,h*>) is V24() V25() integer ext-real Element of INT
K241(INT,(2,<*s,t,h*>),K189()) is V24() V25() integer ext-real Element of INT
s + t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(3,<*s,t,h*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg 3 is non empty finite V39(3) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 3 ) } is set
<*s,t,h*> | (Seg 3) is Relation-like finite FinSubsequence-like set
Sum (3,<*s,t,h*>) is V24() V25() integer ext-real Element of INT
K241(INT,(3,<*s,t,h*>),K189()) is V24() V25() integer ext-real Element of INT
(s + t) + h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is V24() V25() integer ext-real Element of INT
<*n*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of INT
[1,n] is V1() set
{[1,n]} is non empty finite set
Sum <*n*> is V24() V25() integer ext-real Element of INT
K241(INT,<*n*>,K189()) is V24() V25() integer ext-real Element of INT
h1 is V24() V25() integer ext-real Element of INT
<*n,h1*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of INT
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h1] is V1() set
{[1,h1]} is non empty finite set
<*n*> ^ <*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
Sum <*n,h1*> is V24() V25() integer ext-real Element of INT
K241(INT,<*n,h1*>,K189()) is V24() V25() integer ext-real Element of INT
len <*s,t,h*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 is V24() V25() integer ext-real Element of INT
<*n,h1,s1*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of INT
<*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s1] is V1() set
{[1,s1]} is non empty finite set
(<*n*> ^ <*h1*>) ^ <*s1*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
Sum <*n,h1,s1*> is V24() V25() integer ext-real Element of INT
K241(INT,<*n,h1,s1*>,K189()) is V24() V25() integer ext-real Element of INT
- 1 is V24() V25() integer ext-real Element of REAL
{(- 1),0,1} is non empty finite Element of bool REAL
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is V24() V25() integer ext-real set
n is Element of the of s
h .--> n is Relation-like {h} -defined the of s -valued Function-like one-to-one finite set
{h} is non empty finite set
{h} --> n is non empty Relation-like {h} -defined the of s -valued {n} -valued Function-like constant total quasi_total finite Element of bool [:{h},{n}:]
{n} is non empty finite set
[:{h},{n}:] is non empty finite set
bool [:{h},{n}:] is non empty finite V36() set
t +* (h .--> n) is Relation-like Function-like set
proj2 (h .--> n) is finite set
{n} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
proj2 (t +* (h .--> n)) is set
proj2 t is set
(proj2 t) \/ (proj2 (h .--> n)) is set
t2 is Relation-like Function-like set
proj1 t2 is set
proj2 t2 is set
proj1 (t +* (h .--> n)) is set
proj1 t is set
proj1 (h .--> n) is finite set
(proj1 t) \/ (proj1 (h .--> n)) is set
(proj1 t) \/ {h} is non empty set
t2 is Relation-like Function-like set
proj1 t2 is set
proj2 t2 is set
s is ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
t is Element of [: the of s, the of s,{(- 1),0,1}:]
t `3_3 is Element of {(- 1),0,1}
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t `2_3 is V24() V25() integer ext-real Element of INT
t `1 is set
(t `1) `2 is set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t `1_3 is Element of the of s
t `1 is set
(t `1) `1 is set
t `3_3 is Element of Funcs (INT, the of s)
(s,t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . (s,t) is set
[(t `1_3),((t `3_3) . (s,t))] is V1() set
the of s . [(t `1_3),((t `3_3) . (s,t))] is set
h is V24() V25() integer ext-real Element of INT
(t `3_3) . h is Element of the of s
[(t `1_3),((t `3_3) . h)] is V1() Element of [: the of s, the of s:]
the of s . [(t `1_3),((t `3_3) . h)] is Element of [: the of s, the of s,{(- 1),0,1}:]
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t `1_3 is Element of the of s
t `1 is set
(t `1) `1 is set
the of s is Element of the of s
(s,t) is Element of [: the of s, the of s,{(- 1),0,1}:]
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[: the of s, the of s:] is non empty finite set
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
t `3_3 is Element of Funcs (INT, the of s)
(s,t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . (s,t) is set
[(t `1_3),((t `3_3) . (s,t))] is V1() set
the of s . [(t `1_3),((t `3_3) . (s,t))] is set
(s,t) `1_3 is Element of the of s
(s,t) `1 is set
((s,t) `1) `1 is set
(s,(s,t)) is V24() V25() integer ext-real set
(s,t) `3_3 is Element of {(- 1),0,1}
(s,t) + (s,(s,t)) is V24() V25() integer ext-real set
(s,t) `2_3 is Element of the of s
((s,t) `1) `2 is set
(s,(t `3_3),(s,t),((s,t) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(s,t) .--> ((s,t) `2_3) is Relation-like {(s,t)} -defined the of s -valued Function-like one-to-one finite set
{(s,t)} is non empty finite set
{(s,t)} --> ((s,t) `2_3) is non empty Relation-like {(s,t)} -defined the of s -valued {((s,t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(s,t)},{((s,t) `2_3)}:]
{((s,t) `2_3)} is non empty finite set
[:{(s,t)},{((s,t) `2_3)}:] is non empty finite set
bool [:{(s,t)},{((s,t) `2_3)}:] is non empty finite V36() set
(t `3_3) +* ((s,t) .--> ((s,t) `2_3)) is Relation-like Function-like set
[((s,t) `1_3),((s,t) + (s,(s,t))),(s,(t `3_3),(s,t),((s,t) `2_3))] is V1() V2() set
[((s,t) `1_3),((s,t) + (s,(s,t)))] is V1() set
[[((s,t) `1_3),((s,t) + (s,(s,t)))],(s,(t `3_3),(s,t),((s,t) `2_3))] is V1() set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
h . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
n + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h . (n + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h . n is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,(h . n)) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
h . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
n is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
n . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
h1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h . (h1 + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h . h1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,(h . h1)) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
h1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n . (h1 + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
n . h1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,(n . h1)) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t `1_3 is Element of the of s
t `1 is set
(t `1) `1 is set
the of s is Element of the of s
(s,t) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
(s,t) . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t is ()
the of t is non empty finite set
the of t is non empty finite set
Funcs (INT, the of t) is non empty FUNCTION_DOMAIN of INT , the of t
[: the of t,INT,(Funcs (INT, the of t)):] is non empty set
h is Element of [: the of t,INT,(Funcs (INT, the of t)):]
(t,h) is Relation-like NAT -defined [: the of t,INT,(Funcs (INT, the of t)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of t,INT,(Funcs (INT, the of t)):]:]
[:NAT,[: the of t,INT,(Funcs (INT, the of t)):]:] is non empty set
bool [:NAT,[: the of t,INT,(Funcs (INT, the of t)):]:] is non empty set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(t,h) . (s + 1) is Element of [: the of t,INT,(Funcs (INT, the of t)):]
(t,h) . s is Element of [: the of t,INT,(Funcs (INT, the of t)):]
(t,((t,h) . s)) is Element of [: the of t,INT,(Funcs (INT, the of t)):]
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
(s,t) . 1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
0 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . (0 + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,((s,t) . 0)) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s + t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h is ()
the of h is non empty finite set
the of h is non empty finite set
Funcs (INT, the of h) is non empty FUNCTION_DOMAIN of INT , the of h
[: the of h,INT,(Funcs (INT, the of h)):] is non empty set
n is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,n) is Relation-like NAT -defined [: the of h,INT,(Funcs (INT, the of h)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:]
[:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:] is non empty set
bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:] is non empty set
(h,n) . (s + t) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,n) . s is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . s)) is Relation-like NAT -defined [: the of h,INT,(Funcs (INT, the of h)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:]
(h,((h,n) . s)) . t is Element of [: the of h,INT,(Funcs (INT, the of h)):]
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . (s + h1) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . s)) . h1 is Element of [: the of h,INT,(Funcs (INT, the of h)):]
h1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s + (h1 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . (s + (h1 + 1)) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . s)) . (h1 + 1) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(s + h1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . ((s + h1) + 1) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . (s + h1))) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
s + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . (s + 0) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . s)) . 0 is Element of [: the of h,INT,(Funcs (INT, the of h)):]
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h is ()
the of h is non empty finite set
the of h is non empty finite set
Funcs (INT, the of h) is non empty FUNCTION_DOMAIN of INT , the of h
[: the of h,INT,(Funcs (INT, the of h)):] is non empty set
n is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,n) is Relation-like NAT -defined [: the of h,INT,(Funcs (INT, the of h)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:]
[:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:] is non empty set
bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:] is non empty set
(h,n) . s is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . s)) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,n) . t is Element of [: the of h,INT,(Funcs (INT, the of h)):]
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
s + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s + s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . (s + s1) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s + (s1 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . (s + (s1 + 1)) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(s + s1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . ((s + s1) + 1) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
s + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h,n) . (s + 0) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h is ()
the of h is non empty finite set
the of h is non empty finite set
Funcs (INT, the of h) is non empty FUNCTION_DOMAIN of INT , the of h
[: the of h,INT,(Funcs (INT, the of h)):] is non empty set
the of h is Element of the of h
n is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,n) is Relation-like NAT -defined [: the of h,INT,(Funcs (INT, the of h)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:]
[:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:] is non empty set
bool [:NAT,[: the of h,INT,(Funcs (INT, the of h)):]:] is non empty set
(h,n) . s is Element of [: the of h,INT,(Funcs (INT, the of h)):]
((h,n) . s) `1_3 is Element of the of h
((h,n) . s) `1 is set
(((h,n) . s) `1) `1 is set
(h,n) . t is Element of [: the of h,INT,(Funcs (INT, the of h)):]
(h,((h,n) . s)) is Element of [: the of h,INT,(Funcs (INT, the of h)):]
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
the of s is Element of the of s
h is Element of [: the of s,INT,(Funcs (INT, the of s)):]
n is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . h1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . h1) `1_3 is Element of the of s
((s,t) . h1) `1 is set
(((s,t) . h1) `1) `1 is set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . s1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . s1) `1_3 is Element of the of s
((s,t) . s1) `1 is set
(((s,t) . s1) `1) `1 is set
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . h is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . h) `1_3 is Element of the of s
((s,t) . h) `1 is set
(((s,t) . h) `1) `1 is set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
the of s is Element of the of s
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
(s,t) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . h is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . h) `1_3 is Element of the of s
((s,t) . h) `1 is set
(((s,t) . h) `1) `1 is set
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
(s,t) . h is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . h) `1_3 is Element of the of s
((s,t) . h) `1 is set
(((s,t) . h) `1) `1 is set
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . n is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . n) `1_3 is Element of the of s
((s,t) . n) `1 is set
(((s,t) . n) `1) `1 is set
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . h1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,t) . h1) `1_3 is Element of the of s
((s,t) . h1) `1 is set
(((s,t) . h1) `1) `1 is set
h is set
t is non empty set
s is non empty set
[:s,t:] is non empty set
[:s,[:s,t:]:] is non empty set
bool [:s,[:s,t:]:] is non empty set
n is Element of t
h1 is Relation-like s -defined [:s,t:] -valued Function-like quasi_total Element of bool [:s,[:s,t:]:]
s1 is Element of s
h1 . s1 is Element of [:s,t:]
[s1,h] is V1() set
5 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real positive Element of NAT
(5) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer finite ext-real Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : b₁ <= 5 } is set
{0,1} is non empty finite Element of bool NAT
[:(5),{0,1}:] is non empty Relation-like NAT -defined NAT -valued finite Element of bool [:NAT,NAT:]
bool [:NAT,NAT:] is non empty set
([:(5),{0,1}:],{(- 1),0,1},0) is Relation-like [:(5),{0,1}:] -defined [:[:(5),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:[:(5),{0,1}:],{(- 1),0,1}:]:]
[:[:(5),{0,1}:],{(- 1),0,1}:] is non empty finite set
[:[:(5),{0,1}:],[:[:(5),{0,1}:],{(- 1),0,1}:]:] is non empty finite set
bool [:[:(5),{0,1}:],[:[:(5),{0,1}:],{(- 1),0,1}:]:] is non empty finite V36() set
[:NAT,NAT,NAT:] is non empty set
[0,0] is V1() Element of [:NAT,NAT:]
[0,0,1] is V1() V2() Element of [:NAT,NAT,NAT:]
[0,0] is V1() set
[[0,0],1] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1]) is Relation-like [:NAT,NAT:] -defined {[0,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[0,0]} is non empty finite set
[:[:NAT,NAT:],[:NAT,NAT,NAT:]:] is non empty set
bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:] is non empty set
{[0,0]} --> [0,0,1] is non empty Relation-like {[0,0]} -defined [:NAT,NAT,NAT:] -valued {[0,0,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[0,0]},{[0,0,1]}:]
{[0,0,1]} is non empty finite set
[:{[0,0]},{[0,0,1]}:] is non empty finite set
bool [:{[0,0]},{[0,0,1]}:] is non empty finite V36() set
([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1]) is Relation-like Function-like finite set
[0,1] is V1() Element of [:NAT,NAT:]
[1,0,1] is V1() V2() Element of [:NAT,NAT,NAT:]
[1,0] is V1() set
[[1,0],1] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1]) is Relation-like [:NAT,NAT:] -defined {[0,1]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[0,1]} is non empty finite set
{[0,1]} --> [1,0,1] is non empty Relation-like {[0,1]} -defined [:NAT,NAT,NAT:] -valued {[1,0,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[0,1]},{[1,0,1]}:]
{[1,0,1]} is non empty finite set
[:{[0,1]},{[1,0,1]}:] is non empty finite set
bool [:{[0,1]},{[1,0,1]}:] is non empty finite V36() set
(([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1]) is Relation-like Function-like finite set
[1,1] is V1() Element of [:NAT,NAT:]
[1,1,1] is V1() V2() Element of [:NAT,NAT,NAT:]
[1,1] is V1() set
[[1,1],1] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1]) is Relation-like [:NAT,NAT:] -defined {[1,1]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[1,1]} is non empty finite set
{[1,1]} --> [1,1,1] is non empty Relation-like {[1,1]} -defined [:NAT,NAT,NAT:] -valued {[1,1,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[1,1]},{[1,1,1]}:]
{[1,1,1]} is non empty finite set
[:{[1,1]},{[1,1,1]}:] is non empty finite set
bool [:{[1,1]},{[1,1,1]}:] is non empty finite V36() set
((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1]) is Relation-like Function-like finite set
[1,0] is V1() Element of [:NAT,NAT:]
[2,1,1] is V1() V2() Element of [:NAT,NAT,NAT:]
[2,1] is V1() set
[[2,1],1] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1]) is Relation-like [:NAT,NAT:] -defined {[1,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[1,0]} is non empty finite set
{[1,0]} --> [2,1,1] is non empty Relation-like {[1,0]} -defined [:NAT,NAT,NAT:] -valued {[2,1,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[1,0]},{[2,1,1]}:]
{[2,1,1]} is non empty finite set
[:{[1,0]},{[2,1,1]}:] is non empty finite set
bool [:{[1,0]},{[2,1,1]}:] is non empty finite V36() set
(((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1]) is Relation-like Function-like finite set
[2,1] is V1() Element of [:NAT,NAT:]
([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1]) is Relation-like [:NAT,NAT:] -defined {[2,1]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[2,1]} is non empty finite set
{[2,1]} --> [2,1,1] is non empty Relation-like {[2,1]} -defined [:NAT,NAT,NAT:] -valued {[2,1,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[2,1]},{[2,1,1]}:]
[:{[2,1]},{[2,1,1]}:] is non empty finite set
bool [:{[2,1]},{[2,1,1]}:] is non empty finite V36() set
((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1]) is Relation-like Function-like finite set
[:NAT,NAT,REAL:] is non empty set
[2,0] is V1() Element of [:NAT,NAT:]
[3,0,(- 1)] is V1() V2() Element of [:NAT,NAT,REAL:]
[3,0] is V1() set
[[3,0],(- 1)] is V1() set
([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)]) is Relation-like [:NAT,NAT:] -defined {[2,0]} -defined [:NAT,NAT,REAL:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:]
{[2,0]} is non empty finite set
[:[:NAT,NAT:],[:NAT,NAT,REAL:]:] is non empty set
bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:] is non empty set
{[2,0]} --> [3,0,(- 1)] is non empty Relation-like {[2,0]} -defined [:NAT,NAT,REAL:] -valued {[3,0,(- 1)]} -valued Function-like constant total quasi_total finite Element of bool [:{[2,0]},{[3,0,(- 1)]}:]
{[3,0,(- 1)]} is non empty finite set
[:{[2,0]},{[3,0,(- 1)]}:] is non empty finite set
bool [:{[2,0]},{[3,0,(- 1)]}:] is non empty finite V36() set
(((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)]) is Relation-like Function-like finite set
[3,1] is V1() Element of [:NAT,NAT:]
[4,0,(- 1)] is V1() V2() Element of [:NAT,NAT,REAL:]
[4,0] is V1() set
[[4,0],(- 1)] is V1() set
([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)]) is Relation-like [:NAT,NAT:] -defined {[3,1]} -defined [:NAT,NAT,REAL:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:]
{[3,1]} is non empty finite set
{[3,1]} --> [4,0,(- 1)] is non empty Relation-like {[3,1]} -defined [:NAT,NAT,REAL:] -valued {[4,0,(- 1)]} -valued Function-like constant total quasi_total finite Element of bool [:{[3,1]},{[4,0,(- 1)]}:]
{[4,0,(- 1)]} is non empty finite set
[:{[3,1]},{[4,0,(- 1)]}:] is non empty finite set
bool [:{[3,1]},{[4,0,(- 1)]}:] is non empty finite V36() set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)]) is Relation-like Function-like finite set
[4,1] is V1() Element of [:NAT,NAT:]
[4,1,(- 1)] is V1() V2() Element of [:NAT,NAT,REAL:]
[4,1] is V1() set
[[4,1],(- 1)] is V1() set
([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)]) is Relation-like [:NAT,NAT:] -defined {[4,1]} -defined [:NAT,NAT,REAL:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:]
{[4,1]} is non empty finite set
{[4,1]} --> [4,1,(- 1)] is non empty Relation-like {[4,1]} -defined [:NAT,NAT,REAL:] -valued {[4,1,(- 1)]} -valued Function-like constant total quasi_total finite Element of bool [:{[4,1]},{[4,1,(- 1)]}:]
{[4,1,(- 1)]} is non empty finite set
[:{[4,1]},{[4,1,(- 1)]}:] is non empty finite set
bool [:{[4,1]},{[4,1,(- 1)]}:] is non empty finite V36() set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)]) is Relation-like Function-like finite set
[4,0] is V1() Element of [:NAT,NAT:]
[5,0,0] is V1() V2() Element of [:NAT,NAT,NAT:]
[5,0] is V1() set
[[5,0],0] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[4,0],[5,0,0]) is Relation-like [:NAT,NAT:] -defined {[4,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[4,0]} is non empty finite set
{[4,0]} --> [5,0,0] is non empty Relation-like {[4,0]} -defined [:NAT,NAT,NAT:] -valued {[5,0,0]} -valued Function-like constant total quasi_total finite Element of bool [:{[4,0]},{[5,0,0]}:]
{[5,0,0]} is non empty finite set
[:{[4,0]},{[5,0,0]}:] is non empty finite set
bool [:{[4,0]},{[5,0,0]}:] is non empty finite V36() set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[4,0],[5,0,0]) is Relation-like Function-like finite set
[:(5),{0,1},{(- 1),0,1}:] is non empty finite Element of bool [:NAT,NAT,REAL:]
bool [:NAT,NAT,REAL:] is non empty set
[:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
[:[:(5),{0,1}:],{(- 1),0,1}:] is non empty Relation-like [:NAT,NAT:] -defined REAL -valued finite Element of bool [:[:NAT,NAT:],REAL:]
[:[:NAT,NAT:],REAL:] is non empty set
bool [:[:NAT,NAT:],REAL:] is non empty set
s1k is Element of {(- 1),0,1}
([:(5),{0,1}:],{(- 1),0,1},s1k) is Relation-like [:(5),{0,1}:] -defined [:[:(5),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:[:(5),{0,1}:],{(- 1),0,1}:]:]
[:(5),{0,1}:] is non empty finite set
[:(5),{0,1},{(- 1),0,1}:] is non empty finite set
m is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
s is epsilon-transitive epsilon-connected ordinal Element of (5)
pF is Element of {0,1}
[s,pF] is V1() Element of [:(5),{0,1}:]
s3k is Element of {(- 1),0,1}
[s,pF,s3k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[s,pF] is V1() set
[[s,pF],s3k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k]) is Relation-like [:(5),{0,1}:] -defined {[s,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[s,pF]} is non empty finite set
[:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
{[s,pF]} --> [s,pF,s3k] is non empty Relation-like {[s,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[s,pF,s3k]} -valued Function-like constant total quasi_total finite Element of bool [:{[s,pF]},{[s,pF,s3k]}:]
{[s,pF,s3k]} is non empty finite set
[:{[s,pF]},{[s,pF,s3k]}:] is non empty finite set
bool [:{[s,pF]},{[s,pF,s3k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
qF is Element of {0,1}
[s,qF] is V1() Element of [:(5),{0,1}:]
t is epsilon-transitive epsilon-connected ordinal Element of (5)
[t,pF,s3k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[t,pF] is V1() set
[[t,pF],s3k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k]) is Relation-like [:(5),{0,1}:] -defined {[s,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[s,qF]} is non empty finite set
{[s,qF]} --> [t,pF,s3k] is non empty Relation-like {[s,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[t,pF,s3k]} -valued Function-like constant total quasi_total finite Element of bool [:{[s,qF]},{[t,pF,s3k]}:]
{[t,pF,s3k]} is non empty finite set
[:{[s,qF]},{[t,pF,s3k]}:] is non empty finite set
bool [:{[s,qF]},{[t,pF,s3k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[t,qF] is V1() Element of [:(5),{0,1}:]
[t,qF,s3k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[t,qF] is V1() set
[[t,qF],s3k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k]) is Relation-like [:(5),{0,1}:] -defined {[t,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[t,qF]} is non empty finite set
{[t,qF]} --> [t,qF,s3k] is non empty Relation-like {[t,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[t,qF,s3k]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,qF]},{[t,qF,s3k]}:]
{[t,qF,s3k]} is non empty finite set
[:{[t,qF]},{[t,qF,s3k]}:] is non empty finite set
bool [:{[t,qF]},{[t,qF,s3k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[t,pF] is V1() Element of [:(5),{0,1}:]
h is epsilon-transitive epsilon-connected ordinal Element of (5)
[h,qF,s3k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[h,qF] is V1() set
[[h,qF],s3k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k]) is Relation-like [:(5),{0,1}:] -defined {[t,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[t,pF]} is non empty finite set
{[t,pF]} --> [h,qF,s3k] is non empty Relation-like {[t,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[h,qF,s3k]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,pF]},{[h,qF,s3k]}:]
{[h,qF,s3k]} is non empty finite set
[:{[t,pF]},{[h,qF,s3k]}:] is non empty finite set
bool [:{[t,pF]},{[h,qF,s3k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[h,qF] is V1() Element of [:(5),{0,1}:]
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,qF],[h,qF,s3k]) is Relation-like [:(5),{0,1}:] -defined {[h,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[h,qF]} is non empty finite set
{[h,qF]} --> [h,qF,s3k] is non empty Relation-like {[h,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[h,qF,s3k]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,qF]},{[h,qF,s3k]}:]
[:{[h,qF]},{[h,qF,s3k]}:] is non empty finite set
bool [:{[h,qF]},{[h,qF,s3k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,qF],[h,qF,s3k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[h,pF] is V1() Element of [:(5),{0,1}:]
n is epsilon-transitive epsilon-connected ordinal Element of (5)
k is Element of {(- 1),0,1}
[n,pF,k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[n,pF] is V1() set
[[n,pF],k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,pF],[n,pF,k]) is Relation-like [:(5),{0,1}:] -defined {[h,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[h,pF]} is non empty finite set
{[h,pF]} --> [n,pF,k] is non empty Relation-like {[h,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[n,pF,k]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,pF]},{[n,pF,k]}:]
{[n,pF,k]} is non empty finite set
[:{[h,pF]},{[n,pF,k]}:] is non empty finite set
bool [:{[h,pF]},{[n,pF,k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,qF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,pF],[n,pF,k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[n,qF] is V1() Element of [:(5),{0,1}:]
h1 is epsilon-transitive epsilon-connected ordinal Element of (5)
[h1,pF,k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[h1,pF] is V1() set
[[h1,pF],k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[n,qF],[h1,pF,k]) is Relation-like [:(5),{0,1}:] -defined {[n,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[n,qF]} is non empty finite set
{[n,qF]} --> [h1,pF,k] is non empty Relation-like {[n,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[h1,pF,k]} -valued Function-like constant total quasi_total finite Element of bool [:{[n,qF]},{[h1,pF,k]}:]
{[h1,pF,k]} is non empty finite set
[:{[n,qF]},{[h1,pF,k]}:] is non empty finite set
bool [:{[n,qF]},{[h1,pF,k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,qF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,pF],[n,pF,k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[n,qF],[h1,pF,k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[h1,qF] is V1() Element of [:(5),{0,1}:]
[h1,qF,k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[h1,qF] is V1() set
[[h1,qF],k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h1,qF],[h1,qF,k]) is Relation-like [:(5),{0,1}:] -defined {[h1,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[h1,qF]} is non empty finite set
{[h1,qF]} --> [h1,qF,k] is non empty Relation-like {[h1,qF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[h1,qF,k]} -valued Function-like constant total quasi_total finite Element of bool [:{[h1,qF]},{[h1,qF,k]}:]
{[h1,qF,k]} is non empty finite set
[:{[h1,qF]},{[h1,qF,k]}:] is non empty finite set
bool [:{[h1,qF]},{[h1,qF,k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,qF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,pF],[n,pF,k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[n,qF],[h1,pF,k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h1,qF],[h1,qF,k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
[h1,pF] is V1() Element of [:(5),{0,1}:]
s1 is epsilon-transitive epsilon-connected ordinal Element of (5)
[s1,pF,s1k] is V1() V2() Element of [:(5),{0,1},{(- 1),0,1}:]
[s1,pF] is V1() set
[[s1,pF],s1k] is V1() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h1,pF],[s1,pF,s1k]) is Relation-like [:(5),{0,1}:] -defined {[h1,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
{[h1,pF]} is non empty finite set
{[h1,pF]} --> [s1,pF,s1k] is non empty Relation-like {[h1,pF]} -defined [:(5),{0,1},{(- 1),0,1}:] -valued {[s1,pF,s1k]} -valued Function-like constant total quasi_total finite Element of bool [:{[h1,pF]},{[s1,pF,s1k]}:]
{[s1,pF,s1k]} is non empty finite set
[:{[h1,pF]},{[s1,pF,s1k]}:] is non empty finite set
bool [:{[h1,pF]},{[s1,pF,s1k]}:] is non empty finite V36() set
([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],m,([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,pF],[s,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[s,qF],[t,pF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,qF],[t,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[t,pF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,qF],[h,qF,s3k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h,pF],[n,pF,k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[n,qF],[h1,pF,k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h1,qF],[h1,qF,k])),([:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:],[h1,pF],[s1,pF,s1k])) is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
() is Relation-like [:(5),{0,1}:] -defined [:(5),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(5),{0,1}:],[:(5),{0,1},{(- 1),0,1}:]:]
() . [0,0] is set
() . [0,1] is set
() . [1,1] is set
() . [1,0] is set
() . [2,1] is set
() . [2,0] is set
() . [3,1] is set
() . [4,1] is set
() . [4,0] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [0,0] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [0,0] is set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [0,0] is set
(((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) . [0,0] is set
((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [0,0] is set
(((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) . [0,0] is set
((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) . [0,0] is set
(([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) . [0,0] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [0,1] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [0,1] is set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [0,1] is set
(((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) . [0,1] is set
((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [0,1] is set
(((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) . [0,1] is set
((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) . [0,1] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [1,1] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [1,1] is set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [1,1] is set
(((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) . [1,1] is set
((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [1,1] is set
(((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) . [1,1] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [1,0] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [1,0] is set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [1,0] is set
(((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) . [1,0] is set
((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [1,0] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [2,1] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [2,1] is set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [2,1] is set
(((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) . [2,1] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [2,0] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [2,0] is set
((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [2,0] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [3,1] is set
(((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) . [3,1] is set
((((((((([:(5),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[0,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[4,1],[4,1,(- 1)])) . [4,1] is set
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is ()
the of t is non empty finite set
Funcs (INT, the of t) is non empty FUNCTION_DOMAIN of INT , the of t
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h + n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + n) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*h,n*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1,<*h,n*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*h,n*> | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,<*h,n*>) is V24() V25() integer ext-real Element of INT
K241(INT,(1,<*h,n*>),K189()) is V24() V25() integer ext-real Element of INT
1 - 1 is V24() V25() integer ext-real Element of REAL
2 * (1 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (1,<*h,n*>)) + (2 * (1 - 1)) is V24() V25() integer ext-real Element of REAL
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((1 + 1),<*h,n*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (1 + 1) is finite V39(1 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 1 + 1 ) } is set
<*h,n*> | (Seg (1 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((1 + 1),<*h,n*>) is V24() V25() integer ext-real Element of INT
K241(INT,((1 + 1),<*h,n*>),K189()) is V24() V25() integer ext-real Element of INT
2 * 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((1 + 1),<*h,n*>)) + (2 * 1) is V24() V25() integer ext-real Element of REAL
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h + n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + n) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((1 + 1),<*h,n*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (1 + 1) is finite V39(1 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 1 + 1 ) } is set
<*h,n*> | (Seg (1 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((1 + 1),<*h,n*>) is V24() V25() integer ext-real Element of INT
K241(INT,((1 + 1),<*h,n*>),K189()) is V24() V25() integer ext-real Element of INT
2 * 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((1 + 1),<*h,n*>)) + (2 * 1) is V24() V25() integer ext-real Element of REAL
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*h,n*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s1,<*h,n*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg s1 is finite V39(s1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= s1 ) } is set
<*h,n*> | (Seg s1) is Relation-like finite FinSubsequence-like set
Sum (s1,<*h,n*>) is V24() V25() integer ext-real Element of INT
K241(INT,(s1,<*h,n*>),K189()) is V24() V25() integer ext-real Element of INT
s1 - 1 is V24() V25() integer ext-real Element of REAL
2 * (s1 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (s1,<*h,n*>)) + (2 * (s1 - 1)) is V24() V25() integer ext-real Element of REAL
((s1 + 1),<*h,n*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (s1 + 1) is finite V39(s1 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= s1 + 1 ) } is set
<*h,n*> | (Seg (s1 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((s1 + 1),<*h,n*>) is V24() V25() integer ext-real Element of INT
K241(INT,((s1 + 1),<*h,n*>),K189()) is V24() V25() integer ext-real Element of INT
2 * s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((s1 + 1),<*h,n*>)) + (2 * s1) is V24() V25() integer ext-real Element of REAL
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t . h is set
h + n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + n) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t . ((h + n) + 2) is set
h1 is V24() V25() integer ext-real set
t . h1 is set
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n,h1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h1] is V1() set
{[1,h1]} is non empty finite set
(<*h*> ^ <*n*>) ^ <*h1*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h + n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + n) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + n) + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h + n) + h1) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*h,n,h1*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1,<*h,n,h1*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*h,n,h1*> | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,<*h,n,h1*>) is V24() V25() integer ext-real Element of INT
K241(INT,(1,<*h,n,h1*>),K189()) is V24() V25() integer ext-real Element of INT
1 - 1 is V24() V25() integer ext-real Element of REAL
2 * (1 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (1,<*h,n,h1*>)) + (2 * (1 - 1)) is V24() V25() integer ext-real Element of REAL
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((1 + 1),<*h,n,h1*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (1 + 1) is finite V39(1 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 1 + 1 ) } is set
<*h,n,h1*> | (Seg (1 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((1 + 1),<*h,n,h1*>) is V24() V25() integer ext-real Element of INT
K241(INT,((1 + 1),<*h,n,h1*>),K189()) is V24() V25() integer ext-real Element of INT
2 * 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((1 + 1),<*h,n,h1*>)) + (2 * 1) is V24() V25() integer ext-real Element of REAL
(2,<*h,n,h1*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
<*h,n,h1*> | (Seg 2) is Relation-like finite FinSubsequence-like set
Sum (2,<*h,n,h1*>) is V24() V25() integer ext-real Element of INT
K241(INT,(2,<*h,n,h1*>),K189()) is V24() V25() integer ext-real Element of INT
2 - 1 is V24() V25() integer ext-real Element of REAL
2 * (2 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (2,<*h,n,h1*>)) + (2 * (2 - 1)) is V24() V25() integer ext-real Element of REAL
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((2 + 1),<*h,n,h1*>) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (2 + 1) is finite V39(2 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 2 + 1 ) } is set
<*h,n,h1*> | (Seg (2 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((2 + 1),<*h,n,h1*>) is V24() V25() integer ext-real Element of INT
K241(INT,((2 + 1),<*h,n,h1*>),K189()) is V24() V25() integer ext-real Element of INT
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((2 + 1),<*h,n,h1*>)) + (2 * 2) is V24() V25() integer ext-real Element of REAL
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n,h1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h1] is V1() set
{[1,h1]} is non empty finite set
(<*h*> ^ <*n*>) ^ <*h1*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t . h is set
h + n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + n) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t . ((h + n) + 2) is set
(h + n) + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h + n) + h1) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t . (((h + n) + h1) + 4) is set
s1 is V24() V25() integer ext-real set
t . s1 is set
t2 is V24() V25() integer ext-real set
t . t2 is set
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*t*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,t] is V1() set
{[1,t]} is non empty finite set
<*t*> ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(1,(<*t*> ^ s)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
(<*t*> ^ s) | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,(<*t*> ^ s)) is V24() V25() integer ext-real Element of INT
K241(INT,(1,(<*t*> ^ s)),K189()) is V24() V25() integer ext-real Element of INT
(2,(<*t*> ^ s)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
(<*t*> ^ s) | (Seg 2) is Relation-like finite FinSubsequence-like set
Sum (2,(<*t*> ^ s)) is V24() V25() integer ext-real Element of INT
K241(INT,(2,(<*t*> ^ s)),K189()) is V24() V25() integer ext-real Element of INT
t + (s /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
1 + t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*t*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
dom <*t*> is finite Element of bool NAT
h1 is V24() V25() integer ext-real Element of INT
<*h1*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of INT
[1,h1] is V1() set
{[1,h1]} is non empty finite set
Sum <*h1*> is V24() V25() integer ext-real Element of INT
K241(INT,<*h1*>,K189()) is V24() V25() integer ext-real Element of INT
len (<*t*> ^ s) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + (len s) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
2 + t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 ^ q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
s . 1 is set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(<*t*> ^ s) . (1 + 1) is set
s2 . 2 is set
dom s2 is finite Element of bool NAT
(<*t*> ^ s) . 1 is set
s2 . 1 is set
s1 is V24() V25() integer ext-real Element of INT
<*h1,s1*> is non empty Relation-like NAT -defined INT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of INT
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s1] is V1() set
{[1,s1]} is non empty finite set
<*h1*> ^ <*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
Sum <*h1,s1*> is V24() V25() integer ext-real Element of INT
K241(INT,<*h1,s1*>,K189()) is V24() V25() integer ext-real Element of INT
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s /. 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s /. 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*t*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,t] is V1() set
{[1,t]} is non empty finite set
<*t*> ^ s is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
(1,(<*t*> ^ s)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
(<*t*> ^ s) | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,(<*t*> ^ s)) is V24() V25() integer ext-real Element of INT
K241(INT,(1,(<*t*> ^ s)),K189()) is V24() V25() integer ext-real Element of INT
(2,(<*t*> ^ s)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
(<*t*> ^ s) | (Seg 2) is Relation-like finite FinSubsequence-like set
Sum (2,(<*t*> ^ s)) is V24() V25() integer ext-real Element of INT
K241(INT,(2,(<*t*> ^ s)),K189()) is V24() V25() integer ext-real Element of INT
t + (s /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(3,(<*t*> ^ s)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg 3 is non empty finite V39(3) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 3 ) } is set
(<*t*> ^ s) | (Seg 3) is Relation-like finite FinSubsequence-like set
Sum (3,(<*t*> ^ s)) is V24() V25() integer ext-real Element of INT
K241(INT,(3,(<*t*> ^ s)),K189()) is V24() V25() integer ext-real Element of INT
(t + (s /. 1)) + (s /. 2) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(4,(<*t*> ^ s)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg 4 is non empty finite V39(4) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 4 ) } is set
(<*t*> ^ s) | (Seg 4) is Relation-like finite FinSubsequence-like set
Sum (4,(<*t*> ^ s)) is V24() V25() integer ext-real Element of INT
K241(INT,(4,(<*t*> ^ s)),K189()) is V24() V25() integer ext-real Element of INT
((t + (s /. 1)) + (s /. 2)) + (s /. 3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
3 + q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*t*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len (<*t*> ^ s) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + (len s) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
pF is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
4 + pF is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
qF is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len qF is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len k is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
qF ^ k is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
s . 3 is set
1 + 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(<*t*> ^ s) . (1 + 3) is set
qF . 4 is set
dom qF is finite Element of bool NAT
1 + pF is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
3 + (1 + pF) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1k is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len s1k is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s3k is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len s3k is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1k ^ s3k is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
s . 1 is set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(<*t*> ^ s) . (1 + 1) is set
qF . 2 is set
s . 2 is set
1 + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(<*t*> ^ s) . (1 + 2) is set
qF . 3 is set
s1k . 2 is set
dom s1k is finite Element of bool NAT
s1k . 3 is set
(<*t*> ^ s) . 1 is set
s1k . 1 is set
<*t,(s /. 1),(s /. 2)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of NAT
<*t*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*(s /. 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(s /. 1)] is V1() set
{[1,(s /. 1)]} is non empty finite set
<*t*> ^ <*(s /. 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*(s /. 2)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(s /. 2)] is V1() set
{[1,(s /. 2)]} is non empty finite set
(<*t*> ^ <*(s /. 1)*>) ^ <*(s /. 2)*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
qF . 1 is set
<*t,(s /. 1),(s /. 2),(s /. 3)*> is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
h1 is V24() V25() integer ext-real Element of INT
s1 is V24() V25() integer ext-real Element of INT
h1 + s1 is V24() V25() integer ext-real set
t2 is V24() V25() integer ext-real Element of INT
(h1 + s1) + t2 is V24() V25() integer ext-real set
s2 is V24() V25() integer ext-real Element of INT
((h1 + s1) + t2) + s2 is V24() V25() integer ext-real set
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,h] is V1() set
{[1,h]} is non empty finite set
n is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h*> ^ n is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
n /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h + (n /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + (n /. 1)) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*h*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len (<*h*> ^ n) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + (len n) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1,(<*h*> ^ n)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
(<*h*> ^ n) | (Seg 1) is Relation-like finite FinSubsequence-like set
Sum (1,(<*h*> ^ n)) is V24() V25() integer ext-real Element of INT
K241(INT,(1,(<*h*> ^ n)),K189()) is V24() V25() integer ext-real Element of INT
1 - 1 is V24() V25() integer ext-real Element of REAL
2 * (1 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (1,(<*h*> ^ n))) + (2 * (1 - 1)) is V24() V25() integer ext-real Element of REAL
((1 + 1),(<*h*> ^ n)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (1 + 1) is finite V39(1 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 1 + 1 ) } is set
(<*h*> ^ n) | (Seg (1 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((1 + 1),(<*h*> ^ n)) is V24() V25() integer ext-real Element of INT
K241(INT,((1 + 1),(<*h*> ^ n)),K189()) is V24() V25() integer ext-real Element of INT
2 * 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((1 + 1),(<*h*> ^ n))) + (2 * 1) is V24() V25() integer ext-real Element of REAL
6 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real positive Element of NAT
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,h] is V1() set
{[1,h]} is non empty finite set
n is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h*> ^ n is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
n /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h + (n /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + (n /. 1)) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n /. 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h + (n /. 1)) + (n /. 2) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h + (n /. 1)) + (n /. 2)) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n /. 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h + (n /. 1)) + (n /. 2)) + (n /. 3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((h + (n /. 1)) + (n /. 2)) + (n /. 3)) + 6 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len <*h*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
len (<*h*> ^ n) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + (len n) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
3 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(2,(<*h*> ^ n)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
(<*h*> ^ n) | (Seg 2) is Relation-like finite FinSubsequence-like set
Sum (2,(<*h*> ^ n)) is V24() V25() integer ext-real Element of INT
K241(INT,(2,(<*h*> ^ n)),K189()) is V24() V25() integer ext-real Element of INT
2 - 1 is V24() V25() integer ext-real Element of REAL
2 * (2 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (2,(<*h*> ^ n))) + (2 * (2 - 1)) is V24() V25() integer ext-real Element of REAL
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((2 + 1),(<*h*> ^ n)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (2 + 1) is finite V39(2 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 2 + 1 ) } is set
(<*h*> ^ n) | (Seg (2 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((2 + 1),(<*h*> ^ n)) is V24() V25() integer ext-real Element of INT
K241(INT,((2 + 1),(<*h*> ^ n)),K189()) is V24() V25() integer ext-real Element of INT
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((2 + 1),(<*h*> ^ n))) + (2 * 2) is V24() V25() integer ext-real Element of REAL
(3,(<*h*> ^ n)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg 3 is non empty finite V39(3) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 3 ) } is set
(<*h*> ^ n) | (Seg 3) is Relation-like finite FinSubsequence-like set
Sum (3,(<*h*> ^ n)) is V24() V25() integer ext-real Element of INT
K241(INT,(3,(<*h*> ^ n)),K189()) is V24() V25() integer ext-real Element of INT
3 - 1 is V24() V25() integer ext-real Element of REAL
2 * (3 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (3,(<*h*> ^ n))) + (2 * (3 - 1)) is V24() V25() integer ext-real Element of REAL
((3 + 1),(<*h*> ^ n)) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (3 + 1) is finite V39(3 + 1) Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b₁ & b₁ <= 3 + 1 ) } is set
(<*h*> ^ n) | (Seg (3 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((3 + 1),(<*h*> ^ n)) is V24() V25() integer ext-real Element of INT
K241(INT,((3 + 1),(<*h*> ^ n)),K189()) is V24() V25() integer ext-real Element of INT
2 * 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((3 + 1),(<*h*> ^ n))) + (2 * 3) is V24() V25() integer ext-real Element of REAL
t is epsilon-transitive epsilon-connected ordinal Element of (5)
h is epsilon-transitive epsilon-connected ordinal Element of (5)
({0,1},(5),(),t,h) is () ()
the of ({0,1},(5),(),t,h) is non empty finite set
the of ({0,1},(5),(),t,h) is non empty finite set
[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h):] is non empty finite set
[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h),{(- 1),0,1}:] is non empty finite set
the of ({0,1},(5),(),t,h) is Relation-like [: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h):] -defined [: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h):],[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h),{(- 1),0,1}:]:]
[:[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h):],[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h):],[: the of ({0,1},(5),(),t,h), the of ({0,1},(5),(),t,h),{(- 1),0,1}:]:] is non empty finite V36() set
the of ({0,1},(5),(),t,h) is Element of the of ({0,1},(5),(),t,h)
the of ({0,1},(5),(),t,h) is Element of the of ({0,1},(5),(),t,h)
s is () ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
the of s is Element of the of s
t is () ()
the of t is non empty finite set
the of t is non empty finite set
[: the of t, the of t:] is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
the of t is Element of the of t
the of t is Element of the of t
() is () ()
the of () is non empty finite set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is V24() V25() integer ext-real set
t . h is set
n is Element of the of s
(s,t,h,n) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h .--> n is Relation-like {h} -defined the of s -valued Function-like one-to-one finite set
{h} is non empty finite set
{h} --> n is non empty Relation-like {h} -defined the of s -valued {n} -valued Function-like constant total quasi_total finite Element of bool [:{h},{n}:]
{n} is non empty finite set
[:{h},{n}:] is non empty finite set
bool [:{h},{n}:] is non empty finite V36() set
t +* (h .--> n) is Relation-like Function-like set
proj1 t is set
h1 is Relation-like Function-like set
proj1 h1 is set
proj2 h1 is set
the of () is non empty finite set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
the of s is Element of the of s
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Element of [: the of s, the of s,{(- 1),0,1}:]
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[: the of s, the of s:] is non empty finite set
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
t `1_3 is Element of the of s
t `1 is set
(t `1) `1 is set
t `3_3 is Element of Funcs (INT, the of s)
(s,t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . (s,t) is set
[(t `1_3),((t `3_3) . (s,t))] is V1() set
the of s . [(t `1_3),((t `3_3) . (s,t))] is set
(s,t) `1_3 is Element of the of s
(s,t) `1 is set
((s,t) `1) `1 is set
(s,(s,t)) is V24() V25() integer ext-real set
(s,t) `3_3 is Element of {(- 1),0,1}
(s,t) + (s,(s,t)) is V24() V25() integer ext-real set
(s,t) `2_3 is Element of the of s
((s,t) `1) `2 is set
(s,(t `3_3),(s,t),((s,t) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(s,t) .--> ((s,t) `2_3) is Relation-like {(s,t)} -defined the of s -valued Function-like one-to-one finite set
{(s,t)} is non empty finite set
{(s,t)} --> ((s,t) `2_3) is non empty Relation-like {(s,t)} -defined the of s -valued {((s,t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(s,t)},{((s,t) `2_3)}:]
{((s,t) `2_3)} is non empty finite set
[:{(s,t)},{((s,t) `2_3)}:] is non empty finite set
bool [:{(s,t)},{((s,t) `2_3)}:] is non empty finite V36() set
(t `3_3) +* ((s,t) .--> ((s,t) `2_3)) is Relation-like Function-like set
[((s,t) `1_3),((s,t) + (s,(s,t))),(s,(t `3_3),(s,t),((s,t) `2_3))] is V1() V2() set
[((s,t) `1_3),((s,t) + (s,(s,t)))] is V1() set
[[((s,t) `1_3),((s,t) + (s,(s,t)))],(s,(t `3_3),(s,t),((s,t) `2_3))] is V1() set
h is set
n is set
h1 is set
[h,n,h1] is V1() V2() set
[h,n] is V1() set
[[h,n],h1] is V1() set
Funcs (INT, the of ()) is non empty FUNCTION_DOMAIN of INT , the of ()
[: the of (),INT,(Funcs (INT, the of ())):] is non empty set
s is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
s `1_3 is Element of the of ()
s `1 is set
(s `1) `1 is set
s `3_3 is Element of Funcs (INT, the of ())
((),s) is V24() V25() integer ext-real set
s `2_3 is V24() V25() integer ext-real Element of INT
(s `1) `2 is set
(s `3_3) . ((),s) is set
[(s `1_3),((s `3_3) . ((),s))] is V1() set
the of () . [(s `1_3),((s `3_3) . ((),s))] is set
((),s) `1_3 is Element of the of ()
((),s) `1 is set
(((),s) `1) `1 is set
((),((),s)) is V24() V25() integer ext-real set
((),s) `3_3 is Element of {(- 1),0,1}
((),s) + ((),((),s)) is V24() V25() integer ext-real set
((),s) `2_3 is Element of the of ()
(((),s) `1) `2 is set
((),(s `3_3),((),s),(((),s) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),s) .--> (((),s) `2_3) is Relation-like {((),s)} -defined the of () -valued Function-like one-to-one finite set
{((),s)} is non empty finite set
{((),s)} --> (((),s) `2_3) is non empty Relation-like {((),s)} -defined the of () -valued {(((),s) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),s)},{(((),s) `2_3)}:]
{(((),s) `2_3)} is non empty finite set
[:{((),s)},{(((),s) `2_3)}:] is non empty finite set
bool [:{((),s)},{(((),s) `2_3)}:] is non empty finite V36() set
(s `3_3) +* (((),s) .--> (((),s) `2_3)) is Relation-like Function-like set
[(((),s) `1_3),(((),s) + ((),((),s))),((),(s `3_3),((),s),(((),s) `2_3))] is V1() V2() set
[(((),s) `1_3),(((),s) + ((),((),s)))] is V1() set
[[(((),s) `1_3),(((),s) + ((),((),s)))],((),(s `3_3),((),s),(((),s) `2_3))] is V1() set
t is set
h is set
n is set
[t,h,n] is V1() V2() set
[t,h] is V1() set
[[t,h],n] is V1() set
the of () is Element of the of ()
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h is V24() V25() integer ext-real set
n is Element of the of s
(s,t,h,n) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h .--> n is Relation-like {h} -defined the of s -valued Function-like one-to-one finite set
{h} is non empty finite set
{h} --> n is non empty Relation-like {h} -defined the of s -valued {n} -valued Function-like constant total quasi_total finite Element of bool [:{h},{n}:]
{n} is non empty finite set
[:{h},{n}:] is non empty finite set
bool [:{h},{n}:] is non empty finite V36() set
t +* (h .--> n) is Relation-like Function-like set
(s,t,h,n) . h is set
h1 is set
(s,t,h,n) . h1 is set
t . h1 is set
proj1 (h .--> n) is finite set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
h is Element of the of s
[h,1] is V1() Element of [: the of s,NAT:]
[: the of s,NAT:] is non empty set
the of s . [h,1] is set
[h,1,1] is V1() V2() Element of [: the of s,NAT,NAT:]
[: the of s,NAT,NAT:] is non empty set
[h,1] is V1() set
[[h,1],1] is V1() set
n is V24() V25() integer ext-real Element of INT
h1 is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[h,n,h1] is V1() V2() Element of [: the of s,INT,(Funcs (INT, the of s)):]
[h,n] is V1() set
[[h,n],h1] is V1() set
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t2 + s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . s1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
[h,(t2 + s1),h1] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[: the of s,NAT,(Funcs (INT, the of s)):] is non empty set
[h,(t2 + s1)] is V1() set
[[h,(t2 + s1)],h1] is V1() set
s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . s2 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t2 + s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[h,(t2 + s2),h1] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[h,(t2 + s2)] is V1() set
[[h,(t2 + s2)],h1] is V1() set
s2 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . (s2 + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t2 + (s2 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[h,(t2 + (s2 + 1)),h1] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[h,(t2 + (s2 + 1))] is V1() set
[[h,(t2 + (s2 + 1))],h1] is V1() set
qF is V24() V25() integer ext-real Element of INT
[h,qF,h1] is V1() V2() Element of [: the of s,INT,(Funcs (INT, the of s)):]
[h,qF] is V1() set
[[h,qF],h1] is V1() set
[h,qF,h1] `3_3 is Element of Funcs (INT, the of s)
h1 . qF is Element of the of s
(s,[h,qF,h1]) is Element of [: the of s, the of s,{(- 1),0,1}:]
[h,qF,h1] `1_3 is Element of the of s
[h,qF,h1] `1 is set
([h,qF,h1] `1) `1 is set
(s,[h,qF,h1]) is V24() V25() integer ext-real set
[h,qF,h1] `2_3 is V24() V25() integer ext-real Element of INT
([h,qF,h1] `1) `2 is set
([h,qF,h1] `3_3) . (s,[h,qF,h1]) is set
[([h,qF,h1] `1_3),(([h,qF,h1] `3_3) . (s,[h,qF,h1]))] is V1() set
the of s . [([h,qF,h1] `1_3),(([h,qF,h1] `3_3) . (s,[h,qF,h1]))] is set
s1k is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
s1k . (s,[h,qF,h1]) is set
[h,(s1k . (s,[h,qF,h1]))] is V1() set
the of s . [h,(s1k . (s,[h,qF,h1]))] is set
h1 . (s,[h,qF,h1]) is set
[h,(h1 . (s,[h,qF,h1]))] is V1() set
the of s . [h,(h1 . (s,[h,qF,h1]))] is set
(s,(s,[h,qF,h1])) is V24() V25() integer ext-real set
(s,[h,qF,h1]) `3_3 is Element of {(- 1),0,1}
(s,[h,qF,h1]) `2_3 is Element of the of s
(s,[h,qF,h1]) `1 is set
((s,[h,qF,h1]) `1) `2 is set
(s,([h,qF,h1] `3_3),(s,[h,qF,h1]),((s,[h,qF,h1]) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(s,[h,qF,h1]) .--> ((s,[h,qF,h1]) `2_3) is Relation-like {(s,[h,qF,h1])} -defined the of s -valued Function-like one-to-one finite set
{(s,[h,qF,h1])} is non empty finite set
{(s,[h,qF,h1])} --> ((s,[h,qF,h1]) `2_3) is non empty Relation-like {(s,[h,qF,h1])} -defined the of s -valued {((s,[h,qF,h1]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(s,[h,qF,h1])},{((s,[h,qF,h1]) `2_3)}:]
{((s,[h,qF,h1]) `2_3)} is non empty finite set
[:{(s,[h,qF,h1])},{((s,[h,qF,h1]) `2_3)}:] is non empty finite set
bool [:{(s,[h,qF,h1])},{((s,[h,qF,h1]) `2_3)}:] is non empty finite V36() set
([h,qF,h1] `3_3) +* ((s,[h,qF,h1]) .--> ((s,[h,qF,h1]) `2_3)) is Relation-like Function-like set
(s,h1,(s,[h,qF,h1]),((s,[h,qF,h1]) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
h1 +* ((s,[h,qF,h1]) .--> ((s,[h,qF,h1]) `2_3)) is Relation-like Function-like set
(s,h1,(t2 + s2),((s,[h,qF,h1]) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(t2 + s2) .--> ((s,[h,qF,h1]) `2_3) is Relation-like NAT -defined {(t2 + s2)} -defined the of s -valued Function-like one-to-one finite set
{(t2 + s2)} is non empty finite set
{(t2 + s2)} --> ((s,[h,qF,h1]) `2_3) is non empty Relation-like {(t2 + s2)} -defined the of s -valued {((s,[h,qF,h1]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(t2 + s2)},{((s,[h,qF,h1]) `2_3)}:]
[:{(t2 + s2)},{((s,[h,qF,h1]) `2_3)}:] is non empty finite set
bool [:{(t2 + s2)},{((s,[h,qF,h1]) `2_3)}:] is non empty finite V36() set
h1 +* ((t2 + s2) .--> ((s,[h,qF,h1]) `2_3)) is Relation-like Function-like set
q0 is Element of the of s
(s,h1,(t2 + s2),q0) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(t2 + s2) .--> q0 is Relation-like NAT -defined {(t2 + s2)} -defined the of s -valued Function-like one-to-one finite set
{(t2 + s2)} --> q0 is non empty Relation-like {(t2 + s2)} -defined the of s -valued {q0} -valued Function-like constant total quasi_total finite Element of bool [:{(t2 + s2)},{q0}:]
{q0} is non empty finite set
[:{(t2 + s2)},{q0}:] is non empty finite set
bool [:{(t2 + s2)},{q0}:] is non empty finite V36() set
h1 +* ((t2 + s2) .--> q0) is Relation-like Function-like set
(s,[h,qF,h1]) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,[h,qF,h1]) `1_3 is Element of the of s
((s,[h,qF,h1]) `1) `1 is set
(s,[h,qF,h1]) + (s,(s,[h,qF,h1])) is V24() V25() integer ext-real set
[((s,[h,qF,h1]) `1_3),((s,[h,qF,h1]) + (s,(s,[h,qF,h1]))),h1] is V1() V2() set
[((s,[h,qF,h1]) `1_3),((s,[h,qF,h1]) + (s,(s,[h,qF,h1])))] is V1() set
[[((s,[h,qF,h1]) `1_3),((s,[h,qF,h1]) + (s,(s,[h,qF,h1])))],h1] is V1() set
[h,((s,[h,qF,h1]) + (s,(s,[h,qF,h1]))),h1] is V1() V2() set
[h,((s,[h,qF,h1]) + (s,(s,[h,qF,h1])))] is V1() set
[[h,((s,[h,qF,h1]) + (s,(s,[h,qF,h1])))],h1] is V1() set
(t2 + s2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[h,((t2 + s2) + 1),h1] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[h,((t2 + s2) + 1)] is V1() set
[[h,((t2 + s2) + 1)],h1] is V1() set
(s,t) . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t2 + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[h,(t2 + 0),h1] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[h,(t2 + 0)] is V1() set
[[h,(t2 + 0)],h1] is V1() set
t is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `2_3 is V24() V25() integer ext-real Element of INT
((),t) `1 is set
(((),t) `1) `2 is set
((),t) `3_3 is Element of Funcs (INT, the of ())
h is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[0,n,h] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,n] is V1() set
[[0,n],h] is V1() set
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*n,h1,s1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of NAT
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h1] is V1() set
{[1,h1]} is non empty finite set
<*n*> ^ <*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s1] is V1() set
{[1,s1]} is non empty finite set
(<*n*> ^ <*h1*>) ^ <*s1*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 + s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*(1 + n),(h1 + s1)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(1 + n)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(1 + n)] is V1() set
{[1,(1 + n)]} is non empty finite set
<*(h1 + s1)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(h1 + s1)] is V1() set
{[1,(h1 + s1)]} is non empty finite set
<*(1 + n)*> ^ <*(h1 + s1)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
n + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + h1) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h . ((n + h1) + 2) is set
(n + h1) + s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((n + h1) + s1) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((n + h1) + s1) + 4) - 1 is V24() V25() integer ext-real Element of REAL
n + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is V24() V25() integer ext-real Element of INT
s is Element of the of ()
((),h,s2,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2 .--> s is Relation-like INT -defined {s2} -defined the of () -valued Function-like one-to-one finite set
{s2} is non empty finite set
{s2} --> s is non empty Relation-like {s2} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{s2},{s}:]
{s} is non empty finite set
[:{s2},{s}:] is non empty finite set
bool [:{s2},{s}:] is non empty finite V36() set
h +* (s2 .--> s) is Relation-like Function-like set
(n + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((n + 1) + 1) + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((((n + h1) + s1) + 4) - 1) - 1 is V24() V25() integer ext-real Element of REAL
(h1 + s1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
[:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
h1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h1 + 1) + (s1 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h1 + 1) + (s1 + 1)) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((h1 + 1) + (s1 + 1)) + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h1 + s1) + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1)) + (((h1 + s1) + 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) . ((((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1)) + (((h1 + s1) + 1) + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
s2 + 1 is V24() V25() integer ext-real Element of REAL
(s2 + 1) + h1 is V24() V25() integer ext-real Element of REAL
(((n + 1) + 1) + h1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((((n + h1) + s1) + 4) - 1) - 1) - 1 is V24() V25() integer ext-real Element of REAL
n + ((h1 + s1) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2i is V24() V25() integer ext-real Element of INT
ssk is Element of the of ()
((),((),h,s2,s),s2i,ssk) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2i .--> ssk is Relation-like INT -defined {s2i} -defined the of () -valued Function-like one-to-one finite set
{s2i} is non empty finite set
{s2i} --> ssk is non empty Relation-like {s2i} -defined the of () -valued {ssk} -valued Function-like constant total quasi_total finite Element of bool [:{s2i},{ssk}:]
{ssk} is non empty finite set
[:{s2i},{ssk}:] is non empty finite set
bool [:{s2i},{ssk}:] is non empty finite V36() set
((),h,s2,s) +* (s2i .--> ssk) is Relation-like Function-like set
g is Element of the of ()
[g,s2,h] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[g,s2] is V1() set
[[g,s2],h] is V1() set
h . n is set
n + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h . (((n + h1) + s1) + 4) is set
n + (h1 + s1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + 4) - 1 is V24() V25() integer ext-real Element of REAL
((),h,s2,s) . n is set
((),h,s2,s) . ((n + h1) + 2) is set
((),h,s2,s) . (((n + h1) + s1) + 4) is set
ss2 is V24() V25() integer ext-real set
((),h,s2,s) . ss2 is set
h . ss2 is set
ss2 is V24() V25() integer ext-real set
((),h,s2,s) . ss2 is set
h . ss2 is set
ss2 is V24() V25() integer ext-real set
((),h,s2,s) . ss2 is set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((((n + h1) + s1) + 4) - 1) .--> s is Relation-like REAL -defined {((((n + h1) + s1) + 4) - 1)} -defined the of () -valued Function-like one-to-one finite set
{((((n + h1) + s1) + 4) - 1)} is non empty finite set
{((((n + h1) + s1) + 4) - 1)} --> s is non empty Relation-like {((((n + h1) + s1) + 4) - 1)} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{((((n + h1) + s1) + 4) - 1)},{s}:]
[:{((((n + h1) + s1) + 4) - 1)},{s}:] is non empty finite set
bool [:{((((n + h1) + s1) + 4) - 1)},{s}:] is non empty finite V36() set
((),((),h,s2,s),s2i,ssk) +* (((((n + h1) + s1) + 4) - 1) .--> s) is Relation-like Function-like set
((),h,s2,s) . s2 is Element of the of ()
((),((),h,s2,s),s2i,ssk) . s2 is Element of the of ()
((),((),h,s2,s),s2i,ssk) . (((n + h1) + s1) + 4) is set
((n + h1) + s1) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
y is V24() V25() integer ext-real set
((),((),h,s2,s),s2i,ssk) . y is set
((),h,s2,s) . y is set
((),((),h,s2,s),s2i,ssk) . y is set
((),((),h,s2,s),s2i,ssk) . y is set
((),h,s2,s) . y is set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . s2 is Element of the of ()
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((((n + h1) + s1) + 4) - 1) is set
y is V24() V25() integer ext-real set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . y is set
((),((),h,s2,s),s2i,ssk) . y is set
s2 + (h1 + s1) is V24() V25() integer ext-real Element of REAL
(s2 + (h1 + s1)) + 2 is V24() V25() integer ext-real Element of REAL
s2m is Element of the of ()
ski is V24() V25() integer ext-real Element of INT
[s2m,ski,((),((),h,s2,s),s2i,ssk)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[s2m,ski] is V1() set
[[s2m,ski],((),((),h,s2,s),s2i,ssk)] is V1() set
sp5 is V24() V25() integer ext-real Element of INT
[s2m,sp5,((),((),h,s2,s),s2i,ssk)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[s2m,sp5] is V1() set
[[s2m,sp5],((),((),h,s2,s),s2i,ssk)] is V1() set
y is Element of the of ()
qF is V24() V25() integer ext-real Element of INT
[y,qF,((),((),h,s2,s),s2i,ssk)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[y,qF] is V1() set
[[y,qF],((),((),h,s2,s),s2i,ssk)] is V1() set
tt is Element of the of ()
skm is V24() V25() integer ext-real Element of INT
[tt,skm,((),h,s2,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[tt,skm] is V1() set
[[tt,skm],((),h,s2,s)] is V1() set
[tt,s2i,((),h,s2,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[tt,s2i] is V1() set
[[tt,s2i],((),h,s2,s)] is V1() set
[tt,s2i,((),h,s2,s)] `3_3 is Element of Funcs (INT, the of ())
((),[tt,s2i,((),h,s2,s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
[tt,s2i,((),h,s2,s)] `1_3 is Element of the of ()
[tt,s2i,((),h,s2,s)] `1 is set
([tt,s2i,((),h,s2,s)] `1) `1 is set
((),[tt,s2i,((),h,s2,s)]) is V24() V25() integer ext-real set
[tt,s2i,((),h,s2,s)] `2_3 is V24() V25() integer ext-real Element of INT
([tt,s2i,((),h,s2,s)] `1) `2 is set
([tt,s2i,((),h,s2,s)] `3_3) . ((),[tt,s2i,((),h,s2,s)]) is set
[([tt,s2i,((),h,s2,s)] `1_3),(([tt,s2i,((),h,s2,s)] `3_3) . ((),[tt,s2i,((),h,s2,s)]))] is V1() set
the of () . [([tt,s2i,((),h,s2,s)] `1_3),(([tt,s2i,((),h,s2,s)] `3_3) . ((),[tt,s2i,((),h,s2,s)]))] is set
sk is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
sk . ((),[tt,s2i,((),h,s2,s)]) is set
[([tt,s2i,((),h,s2,s)] `1_3),(sk . ((),[tt,s2i,((),h,s2,s)]))] is V1() set
() . [([tt,s2i,((),h,s2,s)] `1_3),(sk . ((),[tt,s2i,((),h,s2,s)]))] is set
[tt,(sk . ((),[tt,s2i,((),h,s2,s)]))] is V1() set
() . [tt,(sk . ((),[tt,s2i,((),h,s2,s)]))] is set
((),h,s2,s) . ((),[tt,s2i,((),h,s2,s)]) is set
[tt,(((),h,s2,s) . ((),[tt,s2i,((),h,s2,s)]))] is V1() set
() . [tt,(((),h,s2,s) . ((),[tt,s2i,((),h,s2,s)]))] is set
((),((),[tt,s2i,((),h,s2,s)])) is V24() V25() integer ext-real set
((),[tt,s2i,((),h,s2,s)]) `3_3 is Element of {(- 1),0,1}
[s2m,sp5,((),((),h,s2,s),s2i,ssk)] `3_3 is Element of Funcs (INT, the of ())
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1_3 is Element of the of ()
[s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1 is set
([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1) `1 is set
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) is V24() V25() integer ext-real set
[s2m,sp5,((),((),h,s2,s),s2i,ssk)] `2_3 is V24() V25() integer ext-real Element of INT
([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1) `2 is set
([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `3_3) . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) is set
[([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1_3),(([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `3_3) . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is V1() set
the of () . [([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1_3),(([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `3_3) . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is set
tt is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
tt . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) is set
[([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1_3),(tt . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is V1() set
() . [([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `1_3),(tt . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is set
[s2m,(tt . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is V1() set
() . [s2m,(tt . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is set
((),((),h,s2,s),s2i,ssk) . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) is set
[s2m,(((),((),h,s2,s),s2i,ssk) . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is V1() set
() . [s2m,(((),((),h,s2,s),s2i,ssk) . ((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))] is set
((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])) is V24() V25() integer ext-real set
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `3_3 is Element of {(- 1),0,1}
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3 is Element of the of ()
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1 is set
(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1) `2 is set
((),([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `3_3),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]),(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) .--> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3) is Relation-like {((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])} -defined the of () -valued Function-like one-to-one finite set
{((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])} is non empty finite set
{((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])} --> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3) is non empty Relation-like {((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])} -defined the of () -valued {(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])},{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)}:]
{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)} is non empty finite set
[:{((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])},{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite set
bool [:{((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])},{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite V36() set
([s2m,sp5,((),((),h,s2,s),s2i,ssk)] `3_3) +* (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) .--> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like Function-like set
((),((),((),h,s2,s),s2i,ssk),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]),(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),h,s2,s),s2i,ssk) +* (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) .--> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like Function-like set
((),((),((),h,s2,s),s2i,ssk),(((n + h1) + s1) + 4),(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
(((n + h1) + s1) + 4) .--> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3) is Relation-like NAT -defined {(((n + h1) + s1) + 4)} -defined the of () -valued Function-like one-to-one finite set
{(((n + h1) + s1) + 4)} is non empty finite set
{(((n + h1) + s1) + 4)} --> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3) is non empty Relation-like {(((n + h1) + s1) + 4)} -defined the of () -valued {(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(((n + h1) + s1) + 4)},{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)}:]
[:{(((n + h1) + s1) + 4)},{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite set
bool [:{(((n + h1) + s1) + 4)},{(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite V36() set
((),((),h,s2,s),s2i,ssk) +* ((((n + h1) + s1) + 4) .--> (((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like Function-like set
((),((),((),h,s2,s),s2i,ssk),(((n + h1) + s1) + 4),s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
(((n + h1) + s1) + 4) .--> s is Relation-like NAT -defined {(((n + h1) + s1) + 4)} -defined the of () -valued Function-like one-to-one finite set
{(((n + h1) + s1) + 4)} --> s is non empty Relation-like {(((n + h1) + s1) + 4)} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{(((n + h1) + s1) + 4)},{s}:]
[:{(((n + h1) + s1) + 4)},{s}:] is non empty finite set
bool [:{(((n + h1) + s1) + 4)},{s}:] is non empty finite V36() set
((),((),h,s2,s),s2i,ssk) +* ((((n + h1) + s1) + 4) .--> s) is Relation-like Function-like set
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1_3 is Element of the of ()
(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1) `1 is set
((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])) is V24() V25() integer ext-real set
[(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1_3),(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))),((),((),h,s2,s),s2i,ssk)] is V1() V2() set
[(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1_3),(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])))] is V1() set
[[(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) `1_3),(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])))],((),((),h,s2,s),s2i,ssk)] is V1() set
[3,(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]))),((),((),h,s2,s),s2i,ssk)] is V1() V2() set
[3,(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])))] is V1() set
[[3,(((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)]) + ((),((),[s2m,sp5,((),((),h,s2,s),s2i,ssk)])))],((),((),h,s2,s),s2i,ssk)] is V1() set
[3,((((n + h1) + s1) + 4) - 1),((),((),h,s2,s),s2i,ssk)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[:NAT,REAL,(Funcs (INT, the of ())):] is non empty set
[3,((((n + h1) + s1) + 4) - 1)] is V1() set
[[3,((((n + h1) + s1) + 4) - 1)],((),((),h,s2,s),s2i,ssk)] is V1() set
((),[tt,s2i,((),h,s2,s)]) `2_3 is Element of the of ()
((),[tt,s2i,((),h,s2,s)]) `1 is set
(((),[tt,s2i,((),h,s2,s)]) `1) `2 is set
((),([tt,s2i,((),h,s2,s)] `3_3),((),[tt,s2i,((),h,s2,s)]),(((),[tt,s2i,((),h,s2,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[tt,s2i,((),h,s2,s)]) .--> (((),[tt,s2i,((),h,s2,s)]) `2_3) is Relation-like {((),[tt,s2i,((),h,s2,s)])} -defined the of () -valued Function-like one-to-one finite set
{((),[tt,s2i,((),h,s2,s)])} is non empty finite set
{((),[tt,s2i,((),h,s2,s)])} --> (((),[tt,s2i,((),h,s2,s)]) `2_3) is non empty Relation-like {((),[tt,s2i,((),h,s2,s)])} -defined the of () -valued {(((),[tt,s2i,((),h,s2,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[tt,s2i,((),h,s2,s)])},{(((),[tt,s2i,((),h,s2,s)]) `2_3)}:]
{(((),[tt,s2i,((),h,s2,s)]) `2_3)} is non empty finite set
[:{((),[tt,s2i,((),h,s2,s)])},{(((),[tt,s2i,((),h,s2,s)]) `2_3)}:] is non empty finite set
bool [:{((),[tt,s2i,((),h,s2,s)])},{(((),[tt,s2i,((),h,s2,s)]) `2_3)}:] is non empty finite V36() set
([tt,s2i,((),h,s2,s)] `3_3) +* (((),[tt,s2i,((),h,s2,s)]) .--> (((),[tt,s2i,((),h,s2,s)]) `2_3)) is Relation-like Function-like set
((),((),h,s2,s),((),[tt,s2i,((),h,s2,s)]),(((),[tt,s2i,((),h,s2,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),h,s2,s) +* (((),[tt,s2i,((),h,s2,s)]) .--> (((),[tt,s2i,((),h,s2,s)]) `2_3)) is Relation-like Function-like set
((),((),h,s2,s),s2i,(((),[tt,s2i,((),h,s2,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2i .--> (((),[tt,s2i,((),h,s2,s)]) `2_3) is Relation-like INT -defined {s2i} -defined the of () -valued Function-like one-to-one finite set
{s2i} --> (((),[tt,s2i,((),h,s2,s)]) `2_3) is non empty Relation-like {s2i} -defined the of () -valued {(((),[tt,s2i,((),h,s2,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{s2i},{(((),[tt,s2i,((),h,s2,s)]) `2_3)}:]
[:{s2i},{(((),[tt,s2i,((),h,s2,s)]) `2_3)}:] is non empty finite set
bool [:{s2i},{(((),[tt,s2i,((),h,s2,s)]) `2_3)}:] is non empty finite V36() set
((),h,s2,s) +* (s2i .--> (((),[tt,s2i,((),h,s2,s)]) `2_3)) is Relation-like Function-like set
((),[tt,s2i,((),h,s2,s)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[tt,s2i,((),h,s2,s)]) `1_3 is Element of the of ()
(((),[tt,s2i,((),h,s2,s)]) `1) `1 is set
((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)])) is V24() V25() integer ext-real set
[(((),[tt,s2i,((),h,s2,s)]) `1_3),(((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)]))),((),((),h,s2,s),s2i,ssk)] is V1() V2() set
[(((),[tt,s2i,((),h,s2,s)]) `1_3),(((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)])))] is V1() set
[[(((),[tt,s2i,((),h,s2,s)]) `1_3),(((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)])))],((),((),h,s2,s),s2i,ssk)] is V1() set
[2,(((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)]))),((),((),h,s2,s),s2i,ssk)] is V1() V2() set
[2,(((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)])))] is V1() set
[[2,(((),[tt,s2i,((),h,s2,s)]) + ((),((),[tt,s2i,((),h,s2,s)])))],((),((),h,s2,s),s2i,ssk)] is V1() set
t `3_3 is Element of Funcs (INT, the of ())
((),t) is Element of [: the of (), the of (),{(- 1),0,1}:]
t `1_3 is Element of the of ()
t `1 is set
(t `1) `1 is set
((),t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . ((),t) is set
[(t `1_3),((t `3_3) . ((),t))] is V1() set
the of () . [(t `1_3),((t `3_3) . ((),t))] is set
ii is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
ii . ((),t) is set
[(t `1_3),(ii . ((),t))] is V1() set
() . [(t `1_3),(ii . ((),t))] is set
[0,(ii . ((),t))] is V1() set
() . [0,(ii . ((),t))] is set
h . ((),t) is set
[0,(h . ((),t))] is V1() set
() . [0,(h . ((),t))] is set
[0,(h . n)] is V1() set
() . [0,(h . n)] is set
((),((),t)) is V24() V25() integer ext-real set
((),t) `3_3 is Element of {(- 1),0,1}
((((n + 1) + 1) + h1) + 1) + (s1 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
sp5 is V24() V25() integer ext-real set
((),((),h,s2,s),s2i,ssk) . sp5 is set
pF is Element of the of ()
[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[pF,s2] is V1() set
[[pF,s2],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
s1k is V24() V25() integer ext-real Element of INT
[pF,s1k,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[pF,s1k] is V1() set
[[pF,s1k],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
((),[pF,s1k,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
[s2m,1] is V1() Element of [: the of (),NAT:]
[: the of (),NAT:] is non empty set
the of () . [s2m,1] is set
[s2m,1,1] is V1() V2() Element of [: the of (),NAT,NAT:]
[: the of (),NAT,NAT:] is non empty set
[s2m,1] is V1() set
[[s2m,1],1] is V1() set
the of () is Element of the of ()
((),[s2m,ski,((),((),h,s2,s),s2i,ssk)]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),[s2m,ski,((),((),h,s2,s),s2i,ssk)]) . (s1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
[2,(((n + h1) + s1) + 4),((),((),h,s2,s),s2i,ssk)] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[2,(((n + h1) + s1) + 4)] is V1() set
[[2,(((n + h1) + s1) + 4)],((),((),h,s2,s),s2i,ssk)] is V1() set
((),((),h,s2,s),s2i,ssk) . ((((n + h1) + s1) + 4) - 1) is set
[y,qF,((),((),h,s2,s),s2i,ssk)] `3_3 is Element of Funcs (INT, the of ())
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[y,qF,((),((),h,s2,s),s2i,ssk)] `1_3 is Element of the of ()
[y,qF,((),((),h,s2,s),s2i,ssk)] `1 is set
([y,qF,((),((),h,s2,s),s2i,ssk)] `1) `1 is set
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) is V24() V25() integer ext-real set
[y,qF,((),((),h,s2,s),s2i,ssk)] `2_3 is V24() V25() integer ext-real Element of INT
([y,qF,((),((),h,s2,s),s2i,ssk)] `1) `2 is set
([y,qF,((),((),h,s2,s),s2i,ssk)] `3_3) . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]) is set
[([y,qF,((),((),h,s2,s),s2i,ssk)] `1_3),(([y,qF,((),((),h,s2,s),s2i,ssk)] `3_3) . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is V1() set
the of () . [([y,qF,((),((),h,s2,s),s2i,ssk)] `1_3),(([y,qF,((),((),h,s2,s),s2i,ssk)] `3_3) . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is set
sn3 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
sn3 . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]) is set
[([y,qF,((),((),h,s2,s),s2i,ssk)] `1_3),(sn3 . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is V1() set
() . [([y,qF,((),((),h,s2,s),s2i,ssk)] `1_3),(sn3 . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is set
[y,(sn3 . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is V1() set
() . [y,(sn3 . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is set
((),((),h,s2,s),s2i,ssk) . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]) is set
[y,(((),((),h,s2,s),s2i,ssk) . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is V1() set
() . [y,(((),((),h,s2,s),s2i,ssk) . ((),[y,qF,((),((),h,s2,s),s2i,ssk)]))] is set
((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])) is V24() V25() integer ext-real set
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `3_3 is Element of {(- 1),0,1}
s3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + s3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[pF,s1k,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) . s3 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((((n + h1) + s1) + 4) - 1) - 1) - s3 is V24() V25() integer ext-real Element of REAL
[4,((((((n + h1) + s1) + 4) - 1) - 1) - s3),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[4,((((((n + h1) + s1) + 4) - 1) - 1) - s3)] is V1() set
[[4,((((((n + h1) + s1) + 4) - 1) - 1) - s3)],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
s3 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + (s3 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[pF,s1k,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) . (s3 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((((n + h1) + s1) + 4) - 1) - 1) - (s3 + 1) is V24() V25() integer ext-real Element of REAL
[4,((((((n + h1) + s1) + 4) - 1) - 1) - (s3 + 1)),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[4,((((((n + h1) + s1) + 4) - 1) - 1) - (s3 + 1))] is V1() set
[[4,((((((n + h1) + s1) + 4) - 1) - 1) - (s3 + 1))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
tt is V24() V25() integer ext-real Element of INT
[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[pF,tt] is V1() set
[[pF,tt],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3 is Element of Funcs (INT, the of ())
(((((n + h1) + s1) + 4) - 1) - 1) + 0 is V24() V25() integer ext-real Element of REAL
s2 + s3 is V24() V25() integer ext-real Element of REAL
s2 - 0 is V24() V25() integer ext-real Element of REAL
(((((n + h1) + s1) + 4) - 1) - 1) + s3 is V24() V25() integer ext-real Element of REAL
ii is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ii is set
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3 is Element of the of ()
[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1 is set
([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1) `1 is set
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is V24() V25() integer ext-real set
[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `2_3 is V24() V25() integer ext-real Element of INT
([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1) `2 is set
([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is set
[([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
the of () . [([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
tt is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
tt . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is set
[([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(tt . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
() . [([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(tt . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
[pF,(tt . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
() . [pF,(tt . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is set
[pF,(((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
() . [pF,(((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])) is V24() V25() integer ext-real set
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `3_3 is Element of {(- 1),0,1}
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3 is Element of the of ()
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1 is set
(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1) `2 is set
((),([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]),(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) .--> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is Relation-like {((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} -defined the of () -valued Function-like one-to-one finite set
{((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} is non empty finite set
{((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} --> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is non empty Relation-like {((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} -defined the of () -valued {(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])},{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:]
{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)} is non empty finite set
[:{((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])},{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite set
bool [:{((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])},{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite V36() set
([pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) +* (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) .--> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]),(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) +* (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) .--> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s),((((((n + h1) + s1) + 4) - 1) - 1) - s3),(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((((((n + h1) + s1) + 4) - 1) - 1) - s3) .--> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is Relation-like REAL -defined {((((((n + h1) + s1) + 4) - 1) - 1) - s3)} -defined the of () -valued Function-like one-to-one finite set
{((((((n + h1) + s1) + 4) - 1) - 1) - s3)} is non empty finite set
{((((((n + h1) + s1) + 4) - 1) - 1) - s3)} --> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is non empty Relation-like {((((((n + h1) + s1) + 4) - 1) - 1) - s3)} -defined the of () -valued {(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((((((n + h1) + s1) + 4) - 1) - 1) - s3)},{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:]
[:{((((((n + h1) + s1) + 4) - 1) - 1) - s3)},{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite set
bool [:{((((((n + h1) + s1) + 4) - 1) - 1) - s3)},{(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite V36() set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) +* (((((((n + h1) + s1) + 4) - 1) - 1) - s3) .--> (((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s),((((((n + h1) + s1) + 4) - 1) - 1) - s3),ssk) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((((((n + h1) + s1) + 4) - 1) - 1) - s3) .--> ssk is Relation-like REAL -defined {((((((n + h1) + s1) + 4) - 1) - 1) - s3)} -defined the of () -valued Function-like one-to-one finite set
{((((((n + h1) + s1) + 4) - 1) - 1) - s3)} --> ssk is non empty Relation-like {((((((n + h1) + s1) + 4) - 1) - 1) - s3)} -defined the of () -valued {ssk} -valued Function-like constant total quasi_total finite Element of bool [:{((((((n + h1) + s1) + 4) - 1) - 1) - s3)},{ssk}:]
[:{((((((n + h1) + s1) + 4) - 1) - 1) - s3)},{ssk}:] is non empty finite set
bool [:{((((((n + h1) + s1) + 4) - 1) - 1) - s3)},{ssk}:] is non empty finite V36() set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) +* (((((((n + h1) + s1) + 4) - 1) - 1) - s3) .--> ssk) is Relation-like Function-like set
(n + s3) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3 is Element of the of ()
(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1) `1 is set
((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])) is V24() V25() integer ext-real set
[(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3),(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() set
[(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3),(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))] is V1() set
[[(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3),(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
[4,(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() set
[4,(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))] is V1() set
[[4,(((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,tt,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
((((((n + h1) + s1) + 4) - 1) - 1) - s3) + (- 1) is V24() V25() integer ext-real Element of REAL
[4,(((((((n + h1) + s1) + 4) - 1) - 1) - s3) + (- 1)),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[4,(((((((n + h1) + s1) + 4) - 1) - 1) - s3) + (- 1))] is V1() set
[[4,(((((((n + h1) + s1) + 4) - 1) - 1) - s3) + (- 1))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
n + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[pF,s1k,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) . 0 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((((n + h1) + s1) + 4) - 1) - 1) - 0 is V24() V25() integer ext-real Element of REAL
[4,((((((n + h1) + s1) + 4) - 1) - 1) - 0),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[4,((((((n + h1) + s1) + 4) - 1) - 1) - 0)] is V1() set
[[4,((((((n + h1) + s1) + 4) - 1) - 1) - 0)],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
((),[pF,s1k,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) . ((h1 + s1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((((n + h1) + s1) + 4) - 1) - 1) - ((h1 + s1) + 1) is V24() V25() integer ext-real Element of REAL
[4,((((((n + h1) + s1) + 4) - 1) - 1) - ((h1 + s1) + 1)),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[4,((((((n + h1) + s1) + 4) - 1) - 1) - ((h1 + s1) + 1))] is V1() set
[[4,((((((n + h1) + s1) + 4) - 1) - 1) - ((h1 + s1) + 1))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
[g,s2,h] `3_3 is Element of Funcs (INT, the of ())
((),[g,s2,h]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[g,s2,h] `1_3 is Element of the of ()
[g,s2,h] `1 is set
([g,s2,h] `1) `1 is set
((),[g,s2,h]) is V24() V25() integer ext-real set
[g,s2,h] `2_3 is V24() V25() integer ext-real Element of INT
([g,s2,h] `1) `2 is set
([g,s2,h] `3_3) . ((),[g,s2,h]) is set
[([g,s2,h] `1_3),(([g,s2,h] `3_3) . ((),[g,s2,h]))] is V1() set
the of () . [([g,s2,h] `1_3),(([g,s2,h] `3_3) . ((),[g,s2,h]))] is set
s3 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s3 . ((),[g,s2,h]) is set
[([g,s2,h] `1_3),(s3 . ((),[g,s2,h]))] is V1() set
() . [([g,s2,h] `1_3),(s3 . ((),[g,s2,h]))] is set
[g,(s3 . ((),[g,s2,h]))] is V1() set
() . [g,(s3 . ((),[g,s2,h]))] is set
h . ((),[g,s2,h]) is set
[g,(h . ((),[g,s2,h]))] is V1() set
() . [g,(h . ((),[g,s2,h]))] is set
h . s2 is Element of the of ()
[0,(h . s2)] is V1() Element of [:NAT, the of ():]
[:NAT, the of ():] is non empty set
() . [0,(h . s2)] is set
((),((),[g,s2,h])) is V24() V25() integer ext-real set
((),[g,s2,h]) `3_3 is Element of {(- 1),0,1}
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3 is Element of the of ()
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1 is set
(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1) `2 is set
((),([y,qF,((),((),h,s2,s),s2i,ssk)] `3_3),((),[y,qF,((),((),h,s2,s),s2i,ssk)]),(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) .--> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3) is Relation-like {((),[y,qF,((),((),h,s2,s),s2i,ssk)])} -defined the of () -valued Function-like one-to-one finite set
{((),[y,qF,((),((),h,s2,s),s2i,ssk)])} is non empty finite set
{((),[y,qF,((),((),h,s2,s),s2i,ssk)])} --> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3) is non empty Relation-like {((),[y,qF,((),((),h,s2,s),s2i,ssk)])} -defined the of () -valued {(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[y,qF,((),((),h,s2,s),s2i,ssk)])},{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)}:]
{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)} is non empty finite set
[:{((),[y,qF,((),((),h,s2,s),s2i,ssk)])},{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite set
bool [:{((),[y,qF,((),((),h,s2,s),s2i,ssk)])},{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite V36() set
([y,qF,((),((),h,s2,s),s2i,ssk)] `3_3) +* (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) .--> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like Function-like set
((),((),((),h,s2,s),s2i,ssk),((),[y,qF,((),((),h,s2,s),s2i,ssk)]),(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),h,s2,s),s2i,ssk) +* (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) .--> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like Function-like set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((((n + h1) + s1) + 4) - 1) .--> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3) is Relation-like REAL -defined {((((n + h1) + s1) + 4) - 1)} -defined the of () -valued Function-like one-to-one finite set
{((((n + h1) + s1) + 4) - 1)} --> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3) is non empty Relation-like {((((n + h1) + s1) + 4) - 1)} -defined the of () -valued {(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((((n + h1) + s1) + 4) - 1)},{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)}:]
[:{((((n + h1) + s1) + 4) - 1)},{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite set
bool [:{((((n + h1) + s1) + 4) - 1)},{(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)}:] is non empty finite V36() set
((),((),h,s2,s),s2i,ssk) +* (((((n + h1) + s1) + 4) - 1) .--> (((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `2_3)) is Relation-like Function-like set
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1_3 is Element of the of ()
(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1) `1 is set
((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])) is V24() V25() integer ext-real set
[(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1_3),(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)]))),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() set
[(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1_3),(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])))] is V1() set
[[(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) `1_3),(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
[4,(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)]))),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() set
[4,(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])))] is V1() set
[[4,(((),[y,qF,((),((),h,s2,s),s2i,ssk)]) + ((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3 is Element of Funcs (INT, the of ())
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3 is Element of the of ()
[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1 is set
([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1) `1 is set
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is V24() V25() integer ext-real set
[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `2_3 is V24() V25() integer ext-real Element of INT
([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1) `2 is set
([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is set
[([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
the of () . [([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
tt is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
tt . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is set
[([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(tt . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
() . [([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `1_3),(tt . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
[4,(tt . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
() . [4,(tt . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is set
[4,(((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is V1() set
() . [4,(((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) . ((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))] is set
((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])) is V24() V25() integer ext-real set
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `3_3 is Element of {(- 1),0,1}
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3 is Element of the of ()
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1 is set
(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1) `2 is set
((),([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]),(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) .--> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is Relation-like {((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} -defined the of () -valued Function-like one-to-one finite set
{((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} is non empty finite set
{((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} --> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is non empty Relation-like {((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])} -defined the of () -valued {(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])},{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:]
{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)} is non empty finite set
[:{((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])},{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite set
bool [:{((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])},{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite V36() set
([pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] `3_3) +* (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) .--> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]),(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) +* (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) .--> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s),s2,(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2 .--> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is Relation-like INT -defined {s2} -defined the of () -valued Function-like one-to-one finite set
{s2} --> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3) is non empty Relation-like {s2} -defined the of () -valued {(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{s2},{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:]
[:{s2},{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite set
bool [:{s2},{(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)}:] is non empty finite V36() set
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) +* (s2 .--> (((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s),s2,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s) +* (s2 .--> s) is Relation-like Function-like set
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3 is Element of the of ()
(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1) `1 is set
((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])) is V24() V25() integer ext-real set
[(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3),(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() set
[(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3),(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))] is V1() set
[[(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) `1_3),(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
[5,(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]))),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() set
[5,(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))] is V1() set
[[5,(((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)]) + ((),((),[pF,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)])))],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
s2 + 0 is V24() V25() integer ext-real Element of REAL
[5,(s2 + 0),((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[5,(s2 + 0)] is V1() set
[[5,(s2 + 0)],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
((),[g,s2,h]) `2_3 is Element of the of ()
((),[g,s2,h]) `1 is set
(((),[g,s2,h]) `1) `2 is set
((),([g,s2,h] `3_3),((),[g,s2,h]),(((),[g,s2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[g,s2,h]) .--> (((),[g,s2,h]) `2_3) is Relation-like {((),[g,s2,h])} -defined the of () -valued Function-like one-to-one finite set
{((),[g,s2,h])} is non empty finite set
{((),[g,s2,h])} --> (((),[g,s2,h]) `2_3) is non empty Relation-like {((),[g,s2,h])} -defined the of () -valued {(((),[g,s2,h]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[g,s2,h])},{(((),[g,s2,h]) `2_3)}:]
{(((),[g,s2,h]) `2_3)} is non empty finite set
[:{((),[g,s2,h])},{(((),[g,s2,h]) `2_3)}:] is non empty finite set
bool [:{((),[g,s2,h])},{(((),[g,s2,h]) `2_3)}:] is non empty finite V36() set
([g,s2,h] `3_3) +* (((),[g,s2,h]) .--> (((),[g,s2,h]) `2_3)) is Relation-like Function-like set
((),h,((),[g,s2,h]),(((),[g,s2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),[g,s2,h]) .--> (((),[g,s2,h]) `2_3)) is Relation-like Function-like set
((),h,s2,(((),[g,s2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2 .--> (((),[g,s2,h]) `2_3) is Relation-like INT -defined {s2} -defined the of () -valued Function-like one-to-one finite set
{s2} --> (((),[g,s2,h]) `2_3) is non empty Relation-like {s2} -defined the of () -valued {(((),[g,s2,h]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{s2},{(((),[g,s2,h]) `2_3)}:]
[:{s2},{(((),[g,s2,h]) `2_3)}:] is non empty finite set
bool [:{s2},{(((),[g,s2,h]) `2_3)}:] is non empty finite V36() set
h +* (s2 .--> (((),[g,s2,h]) `2_3)) is Relation-like Function-like set
((),[g,s2,h]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[g,s2,h]) `1_3 is Element of the of ()
(((),[g,s2,h]) `1) `1 is set
((),[g,s2,h]) + ((),((),[g,s2,h])) is V24() V25() integer ext-real set
[(((),[g,s2,h]) `1_3),(((),[g,s2,h]) + ((),((),[g,s2,h]))),((),h,s2,s)] is V1() V2() set
[(((),[g,s2,h]) `1_3),(((),[g,s2,h]) + ((),((),[g,s2,h])))] is V1() set
[[(((),[g,s2,h]) `1_3),(((),[g,s2,h]) + ((),((),[g,s2,h])))],((),h,s2,s)] is V1() set
[1,(((),[g,s2,h]) + ((),((),[g,s2,h]))),((),h,s2,s)] is V1() V2() set
[1,(((),[g,s2,h]) + ((),((),[g,s2,h])))] is V1() set
[[1,(((),[g,s2,h]) + ((),((),[g,s2,h])))],((),h,s2,s)] is V1() set
((),t) `2_3 is Element of the of ()
((),t) `1 is set
(((),t) `1) `2 is set
((),(t `3_3),((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),t) .--> (((),t) `2_3) is Relation-like {((),t)} -defined the of () -valued Function-like one-to-one finite set
{((),t)} is non empty finite set
{((),t)} --> (((),t) `2_3) is non empty Relation-like {((),t)} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),t)},{(((),t) `2_3)}:]
{(((),t) `2_3)} is non empty finite set
[:{((),t)},{(((),t) `2_3)}:] is non empty finite set
bool [:{((),t)},{(((),t) `2_3)}:] is non empty finite V36() set
(t `3_3) +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,n,(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> (((),t) `2_3) is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} is non empty finite set
{n} --> (((),t) `2_3) is non empty Relation-like {n} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{n},{(((),t) `2_3)}:]
[:{n},{(((),t) `2_3)}:] is non empty finite set
bool [:{n},{(((),t) `2_3)}:] is non empty finite V36() set
h +* (n .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,n,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> s is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} --> s is non empty Relation-like {n} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{n},{s}:]
[:{n},{s}:] is non empty finite set
bool [:{n},{s}:] is non empty finite V36() set
h +* (n .--> s) is Relation-like Function-like set
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `1_3 is Element of the of ()
(((),t) `1) `1 is set
((),t) + ((),((),t)) is V24() V25() integer ext-real set
[(((),t) `1_3),(((),t) + ((),((),t))),h] is V1() V2() set
[(((),t) `1_3),(((),t) + ((),((),t)))] is V1() set
[[(((),t) `1_3),(((),t) + ((),((),t)))],h] is V1() set
[0,(((),t) + ((),((),t))),h] is V1() V2() set
[0,(((),t) + ((),((),t)))] is V1() set
[[0,(((),t) + ((),((),t)))],h] is V1() set
((),t) . (1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) . 1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) . (((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[tt,skm,((),h,s2,s)]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),[tt,skm,((),h,s2,s)]) . ((((h1 + 1) + (s1 + 1)) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[tt,skm,((),h,s2,s)]) . (((h1 + 1) + (s1 + 1)) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[tt,skm,((),h,s2,s)]) . (((h1 + 1) + (s1 + 1)) + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[tt,skm,((),h,s2,s)]) . ((h1 + 1) + (s1 + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[tt,skm,((),h,s2,s)]) . ((h1 + 1) + (s1 + 1)))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),[tt,skm,((),h,s2,s)]) . ((h1 + 1) + (s1 + 1))))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[tt,skm,((),h,s2,s)]) . (h1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[tt,skm,((),h,s2,s)]) . (h1 + 1))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),(((),[tt,skm,((),h,s2,s)]) . (h1 + 1))) . (s1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),(((),[tt,skm,((),h,s2,s)]) . (h1 + 1))) . (s1 + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),(((),[tt,skm,((),h,s2,s)]) . (h1 + 1))) . (s1 + 1)))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),((),(((),(((),[tt,skm,((),h,s2,s)]) . (h1 + 1))) . (s1 + 1))))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),((),(((),(((),[tt,skm,((),h,s2,s)]) . (h1 + 1))) . (s1 + 1))))) . (((h1 + s1) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[tt,skm,((),h,s2,s)]) . h1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[tt,skm,((),h,s2,s)]) . h1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),[tt,skm,((),h,s2,s)]) . h1))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),(((),[tt,skm,((),h,s2,s)]) . h1))) . (s1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),((),(((),[tt,skm,((),h,s2,s)]) . h1))) . (s1 + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),((),(((),[tt,skm,((),h,s2,s)]) . h1))) . (s1 + 1)))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),((),(((),((),(((),[tt,skm,((),h,s2,s)]) . h1))) . (s1 + 1))))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),((),(((),((),(((),[tt,skm,((),h,s2,s)]) . h1))) . (s1 + 1))))) . (((h1 + s1) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
[tt,1] is V1() Element of [: the of (),NAT:]
the of () . [tt,1] is set
[tt,1,1] is V1() V2() Element of [: the of (),NAT,NAT:]
[tt,1] is V1() set
[[tt,1],1] is V1() set
((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),[y,qF,((),((),h,s2,s),s2i,ssk)])) . (((h1 + s1) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
[5,s2,((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() V2() Element of [:NAT,INT,(Funcs (INT, the of ())):]
[:NAT,INT,(Funcs (INT, the of ())):] is non empty set
[5,s2] is V1() set
[[5,s2],((),((),((),h,s2,s),s2i,ssk),((((n + h1) + s1) + 4) - 1),s)] is V1() set
(((),t) . ((((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1)) + (((h1 + s1) + 1) + 1))) `1_3 is Element of the of ()
(((),t) . ((((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1)) + (((h1 + s1) + 1) + 1))) `1 is set
((((),t) . ((((((h1 + 1) + (s1 + 1)) + 1) + 1) + (1 + 1)) + (((h1 + s1) + 1) + 1))) `1) `1 is set
proj1 [+] is set
2 -tuples_on NAT is FinSequenceSet of NAT
arity (1 proj 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1 + 1) -tuples_on NAT is FinSequenceSet of NAT
n is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
s is Element of [: the of (),INT,(Funcs (INT, the of ())):]
the of () is Element of the of ()
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[ the of (),h,t] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[: the of (),NAT,(Funcs (INT, the of ())):] is non empty set
[ the of (),h] is V1() set
[[ the of (),h],t] is V1() set
<*h*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,h] is V1() set
{[1,h]} is non empty finite set
<*h*> ^ n is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h1,s1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h1] is V1() set
{[1,h1]} is non empty finite set
<*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s1] is V1() set
{[1,s1]} is non empty finite set
<*h1*> ^ <*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[0,h,t] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,h] is V1() set
[[0,h],t] is V1() set
<*h,h1,s1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(3) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*h*> ^ <*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
(<*h*> ^ <*h1*>) ^ <*s1*> is non empty Relation-like NAT -defined Function-like finite V39((1 + 1) + 1) FinSequence-like FinSubsequence-like set
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
1 + h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 + s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),s) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) `2_3 is V24() V25() integer ext-real Element of INT
((),s) `1 is set
(((),s) `1) `2 is set
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[+] . n is set
<*(1 + h),(h1 + s1)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(1 + h)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(1 + h)] is V1() set
{[1,(1 + h)]} is non empty finite set
<*(h1 + s1)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(h1 + s1)] is V1() set
{[1,(h1 + s1)]} is non empty finite set
<*(1 + h)*> ^ <*(h1 + s1)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
((),s) `3_3 is Element of Funcs (INT, the of ())
<*t2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,t2] is V1() set
{[1,t2]} is non empty finite set
<*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,s2] is V1() set
{[1,s2]} is non empty finite set
<*t2*> ^ <*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(4) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer finite ext-real Element of bool NAT
{ b₁ where b₁ is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : b₁ <= 4 } is set
[:(4),{0,1}:] is non empty Relation-like NAT -defined NAT -valued finite Element of bool [:NAT,NAT:]
([:(4),{0,1}:],{(- 1),0,1},0) is Relation-like [:(4),{0,1}:] -defined [:[:(4),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:[:(4),{0,1}:],{(- 1),0,1}:]:]
[:[:(4),{0,1}:],{(- 1),0,1}:] is non empty finite set
[:[:(4),{0,1}:],[:[:(4),{0,1}:],{(- 1),0,1}:]:] is non empty finite set
bool [:[:(4),{0,1}:],[:[:(4),{0,1}:],{(- 1),0,1}:]:] is non empty finite V36() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1]) is Relation-like [:NAT,NAT:] -defined {[0,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[0,0]} --> [1,0,1] is non empty Relation-like {[0,0]} -defined [:NAT,NAT,NAT:] -valued {[1,0,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[0,0]},{[1,0,1]}:]
[:{[0,0]},{[1,0,1]}:] is non empty finite set
bool [:{[0,0]},{[1,0,1]}:] is non empty finite V36() set
([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1]) is Relation-like Function-like finite set
(([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1]) is Relation-like Function-like finite set
((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1]) is Relation-like Function-like finite set
(((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)]) is Relation-like Function-like finite set
([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)]) is Relation-like [:NAT,NAT:] -defined {[2,1]} -defined [:NAT,NAT,REAL:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:]
{[2,1]} --> [3,0,(- 1)] is non empty Relation-like {[2,1]} -defined [:NAT,NAT,REAL:] -valued {[3,0,(- 1)]} -valued Function-like constant total quasi_total finite Element of bool [:{[2,1]},{[3,0,(- 1)]}:]
[:{[2,1]},{[3,0,(- 1)]}:] is non empty finite set
bool [:{[2,1]},{[3,0,(- 1)]}:] is non empty finite V36() set
((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)]) is Relation-like Function-like finite set
[3,1,(- 1)] is V1() V2() Element of [:NAT,NAT,REAL:]
[3,1] is V1() set
[[3,1],(- 1)] is V1() set
([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)]) is Relation-like [:NAT,NAT:] -defined {[3,1]} -defined [:NAT,NAT,REAL:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:]
{[3,1]} --> [3,1,(- 1)] is non empty Relation-like {[3,1]} -defined [:NAT,NAT,REAL:] -valued {[3,1,(- 1)]} -valued Function-like constant total quasi_total finite Element of bool [:{[3,1]},{[3,1,(- 1)]}:]
{[3,1,(- 1)]} is non empty finite set
[:{[3,1]},{[3,1,(- 1)]}:] is non empty finite set
bool [:{[3,1]},{[3,1,(- 1)]}:] is non empty finite V36() set
(((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)]) is Relation-like Function-like finite set
[3,0] is V1() Element of [:NAT,NAT:]
[4,0,0] is V1() V2() Element of [:NAT,NAT,NAT:]
[[4,0],0] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[3,0],[4,0,0]) is Relation-like [:NAT,NAT:] -defined {[3,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[3,0]} is non empty finite set
{[3,0]} --> [4,0,0] is non empty Relation-like {[3,0]} -defined [:NAT,NAT,NAT:] -valued {[4,0,0]} -valued Function-like constant total quasi_total finite Element of bool [:{[3,0]},{[4,0,0]}:]
{[4,0,0]} is non empty finite set
[:{[3,0]},{[4,0,0]}:] is non empty finite set
bool [:{[3,0]},{[4,0,0]}:] is non empty finite V36() set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[3,0],[4,0,0]) is Relation-like Function-like finite set
[:(4),{0,1},{(- 1),0,1}:] is non empty finite Element of bool [:NAT,NAT,REAL:]
[:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
[:[:(4),{0,1}:],{(- 1),0,1}:] is non empty Relation-like [:NAT,NAT:] -defined REAL -valued finite Element of bool [:[:NAT,NAT:],REAL:]
[:[:NAT,NAT:],REAL:] is non empty set
bool [:[:NAT,NAT:],REAL:] is non empty set
k is Element of {(- 1),0,1}
([:(4),{0,1}:],{(- 1),0,1},k) is Relation-like [:(4),{0,1}:] -defined [:[:(4),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:[:(4),{0,1}:],{(- 1),0,1}:]:]
[:(4),{0,1}:] is non empty finite set
[:(4),{0,1},{(- 1),0,1}:] is non empty finite set
s3k is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
s is epsilon-transitive epsilon-connected ordinal Element of (4)
q0 is Element of {0,1}
[s,q0] is V1() Element of [:(4),{0,1}:]
t is epsilon-transitive epsilon-connected ordinal Element of (4)
s1k is Element of {(- 1),0,1}
[t,q0,s1k] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[t,q0] is V1() set
[[t,q0],s1k] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k]) is Relation-like [:(4),{0,1}:] -defined {[s,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[s,q0]} is non empty finite set
[:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
{[s,q0]} --> [t,q0,s1k] is non empty Relation-like {[s,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[t,q0,s1k]} -valued Function-like constant total quasi_total finite Element of bool [:{[s,q0]},{[t,q0,s1k]}:]
{[t,q0,s1k]} is non empty finite set
[:{[s,q0]},{[t,q0,s1k]}:] is non empty finite set
bool [:{[s,q0]},{[t,q0,s1k]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
pF is Element of {0,1}
[t,pF] is V1() Element of [:(4),{0,1}:]
[t,pF,s1k] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[t,pF] is V1() set
[[t,pF],s1k] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k]) is Relation-like [:(4),{0,1}:] -defined {[t,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[t,pF]} is non empty finite set
{[t,pF]} --> [t,pF,s1k] is non empty Relation-like {[t,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[t,pF,s1k]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,pF]},{[t,pF,s1k]}:]
{[t,pF,s1k]} is non empty finite set
[:{[t,pF]},{[t,pF,s1k]}:] is non empty finite set
bool [:{[t,pF]},{[t,pF,s1k]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[t,q0] is V1() Element of [:(4),{0,1}:]
h is epsilon-transitive epsilon-connected ordinal Element of (4)
[h,pF,s1k] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[h,pF] is V1() set
[[h,pF],s1k] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,q0],[h,pF,s1k]) is Relation-like [:(4),{0,1}:] -defined {[t,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[t,q0]} is non empty finite set
{[t,q0]} --> [h,pF,s1k] is non empty Relation-like {[t,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[h,pF,s1k]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,q0]},{[h,pF,s1k]}:]
{[h,pF,s1k]} is non empty finite set
[:{[t,q0]},{[h,pF,s1k]}:] is non empty finite set
bool [:{[t,q0]},{[h,pF,s1k]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,q0],[h,pF,s1k])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[h,q0] is V1() Element of [:(4),{0,1}:]
n is epsilon-transitive epsilon-connected ordinal Element of (4)
qF is Element of {(- 1),0,1}
[n,q0,qF] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[n,q0] is V1() set
[[n,q0],qF] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF]) is Relation-like [:(4),{0,1}:] -defined {[h,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[h,q0]} is non empty finite set
{[h,q0]} --> [n,q0,qF] is non empty Relation-like {[h,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[n,q0,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,q0]},{[n,q0,qF]}:]
{[n,q0,qF]} is non empty finite set
[:{[h,q0]},{[n,q0,qF]}:] is non empty finite set
bool [:{[h,q0]},{[n,q0,qF]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,q0],[h,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[h,pF] is V1() Element of [:(4),{0,1}:]
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF]) is Relation-like [:(4),{0,1}:] -defined {[h,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[h,pF]} is non empty finite set
{[h,pF]} --> [n,q0,qF] is non empty Relation-like {[h,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[n,q0,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,pF]},{[n,q0,qF]}:]
[:{[h,pF]},{[n,q0,qF]}:] is non empty finite set
bool [:{[h,pF]},{[n,q0,qF]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,q0],[h,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[n,pF] is V1() Element of [:(4),{0,1}:]
[n,pF,qF] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[n,pF] is V1() set
[[n,pF],qF] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,pF],[n,pF,qF]) is Relation-like [:(4),{0,1}:] -defined {[n,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[n,pF]} is non empty finite set
{[n,pF]} --> [n,pF,qF] is non empty Relation-like {[n,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[n,pF,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[n,pF]},{[n,pF,qF]}:]
{[n,pF,qF]} is non empty finite set
[:{[n,pF]},{[n,pF,qF]}:] is non empty finite set
bool [:{[n,pF]},{[n,pF,qF]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,q0],[h,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,pF],[n,pF,qF])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[n,q0] is V1() Element of [:(4),{0,1}:]
h1 is epsilon-transitive epsilon-connected ordinal Element of (4)
[h1,q0,k] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[h1,q0] is V1() set
[[h1,q0],k] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,q0],[h1,q0,k]) is Relation-like [:(4),{0,1}:] -defined {[n,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[n,q0]} is non empty finite set
{[n,q0]} --> [h1,q0,k] is non empty Relation-like {[n,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[h1,q0,k]} -valued Function-like constant total quasi_total finite Element of bool [:{[n,q0]},{[h1,q0,k]}:]
{[h1,q0,k]} is non empty finite set
[:{[n,q0]},{[h1,q0,k]}:] is non empty finite set
bool [:{[n,q0]},{[h1,q0,k]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s3k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[t,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,q0],[h,pF,s1k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,pF],[n,pF,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,q0],[h1,q0,k])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
() is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
() . [0,0] is set
() . [1,1] is set
() . [1,0] is set
() . [2,0] is set
() . [2,1] is set
() . [3,1] is set
() . [3,0] is set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) . [0,0] is set
(((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [0,0] is set
((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [0,0] is set
(((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [0,0] is set
((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) . [0,0] is set
(([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) . [0,0] is set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) . [1,1] is set
(((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [1,1] is set
((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [1,1] is set
(((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [1,1] is set
((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) . [1,1] is set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) . [1,0] is set
(((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [1,0] is set
((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [1,0] is set
(((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) . [1,0] is set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) . [2,0] is set
(((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [2,0] is set
((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [2,0] is set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) . [2,1] is set
(((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [2,1] is set
((((((([:(4),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[3,1,(- 1)])) . [3,1] is set
t is epsilon-transitive epsilon-connected ordinal Element of (4)
h is epsilon-transitive epsilon-connected ordinal Element of (4)
({0,1},(4),(),t,h) is () ()
the of ({0,1},(4),(),t,h) is non empty finite set
the of ({0,1},(4),(),t,h) is non empty finite set
[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h):] is non empty finite set
[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h),{(- 1),0,1}:] is non empty finite set
the of ({0,1},(4),(),t,h) is Relation-like [: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h):] -defined [: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h):],[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h),{(- 1),0,1}:]:]
[:[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h):],[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h):],[: the of ({0,1},(4),(),t,h), the of ({0,1},(4),(),t,h),{(- 1),0,1}:]:] is non empty finite V36() set
the of ({0,1},(4),(),t,h) is Element of the of ({0,1},(4),(),t,h)
the of ({0,1},(4),(),t,h) is Element of the of ({0,1},(4),(),t,h)
s is () ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
the of s is Element of the of s
t is () ()
the of t is non empty finite set
the of t is non empty finite set
[: the of t, the of t:] is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
the of t is Element of the of t
the of t is Element of the of t
() is () ()
the of () is non empty finite set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the of () is non empty finite set
Funcs (INT, the of ()) is non empty FUNCTION_DOMAIN of INT , the of ()
[: the of (),INT,(Funcs (INT, the of ())):] is non empty set
s is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
s `1_3 is Element of the of ()
s `1 is set
(s `1) `1 is set
s `3_3 is Element of Funcs (INT, the of ())
((),s) is V24() V25() integer ext-real set
s `2_3 is V24() V25() integer ext-real Element of INT
(s `1) `2 is set
(s `3_3) . ((),s) is set
[(s `1_3),((s `3_3) . ((),s))] is V1() set
the of () . [(s `1_3),((s `3_3) . ((),s))] is set
((),s) `1_3 is Element of the of ()
((),s) `1 is set
(((),s) `1) `1 is set
((),((),s)) is V24() V25() integer ext-real set
((),s) `3_3 is Element of {(- 1),0,1}
((),s) + ((),((),s)) is V24() V25() integer ext-real set
((),s) `2_3 is Element of the of ()
(((),s) `1) `2 is set
((),(s `3_3),((),s),(((),s) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),s) .--> (((),s) `2_3) is Relation-like {((),s)} -defined the of () -valued Function-like one-to-one finite set
{((),s)} is non empty finite set
{((),s)} --> (((),s) `2_3) is non empty Relation-like {((),s)} -defined the of () -valued {(((),s) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),s)},{(((),s) `2_3)}:]
{(((),s) `2_3)} is non empty finite set
[:{((),s)},{(((),s) `2_3)}:] is non empty finite set
bool [:{((),s)},{(((),s) `2_3)}:] is non empty finite V36() set
(s `3_3) +* (((),s) .--> (((),s) `2_3)) is Relation-like Function-like set
[(((),s) `1_3),(((),s) + ((),((),s))),((),(s `3_3),((),s),(((),s) `2_3))] is V1() V2() set
[(((),s) `1_3),(((),s) + ((),((),s)))] is V1() set
[[(((),s) `1_3),(((),s) + ((),((),s)))],((),(s `3_3),((),s),(((),s) `2_3))] is V1() set
t is set
h is set
n is set
[t,h,n] is V1() V2() set
[t,h] is V1() set
[[t,h],n] is V1() set
the of () is Element of the of ()
t is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `2_3 is V24() V25() integer ext-real Element of INT
((),t) `1 is set
(((),t) `1) `2 is set
((),t) `3_3 is Element of Funcs (INT, the of ())
h is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[0,n,h] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,n] is V1() set
[[0,n],h] is V1() set
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*n,h1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h1] is V1() set
{[1,h1]} is non empty finite set
<*n*> ^ <*h1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*n,(h1 + 1)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(h1 + 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(h1 + 1)] is V1() set
{[1,(h1 + 1)]} is non empty finite set
<*n*> ^ <*(h1 + 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
h . n is set
n + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((n + 1) + 1) + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((n + 1) + 1) + h1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t2 is V24() V25() integer ext-real Element of INT
t2 + 1 is V24() V25() integer ext-real Element of REAL
(t2 + 1) + h1 is V24() V25() integer ext-real Element of REAL
n + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + h1) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s3k is Element of the of ()
((),h,t2,s3k) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
t2 .--> s3k is Relation-like INT -defined {t2} -defined the of () -valued Function-like one-to-one finite set
{t2} is non empty finite set
{t2} --> s3k is non empty Relation-like {t2} -defined the of () -valued {s3k} -valued Function-like constant total quasi_total finite Element of bool [:{t2},{s3k}:]
{s3k} is non empty finite set
[:{t2},{s3k}:] is non empty finite set
bool [:{t2},{s3k}:] is non empty finite V36() set
h +* (t2 .--> s3k) is Relation-like Function-like set
h . ((n + h1) + 2) is set
((),h,t2,s3k) . n is set
((),h,t2,s3k) . ((n + h1) + 2) is set
s2m is V24() V25() integer ext-real set
((),h,t2,s3k) . s2m is set
((),h,t2,s3k) . s2m is set
h . s2m is set
s2m is V24() V25() integer ext-real set
((),h,t2,s3k) . s2m is set
t `3_3 is Element of Funcs (INT, the of ())
((),t) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
t `1_3 is Element of the of ()
t `1 is set
(t `1) `1 is set
((),t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . ((),t) is set
[(t `1_3),((t `3_3) . ((),t))] is V1() set
the of () . [(t `1_3),((t `3_3) . ((),t))] is set
s2m is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2m . ((),t) is set
[(t `1_3),(s2m . ((),t))] is V1() set
() . [(t `1_3),(s2m . ((),t))] is set
[0,(s2m . ((),t))] is V1() set
() . [0,(s2m . ((),t))] is set
h . ((),t) is set
[0,(h . ((),t))] is V1() set
() . [0,(h . ((),t))] is set
((),((),t)) is V24() V25() integer ext-real set
((),t) `3_3 is Element of {(- 1),0,1}
s2 is Element of the of ()
[s2,t2,h] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[s2,t2] is V1() set
[[s2,t2],h] is V1() set
[s2,t2,h] `3_3 is Element of Funcs (INT, the of ())
((),t) `2_3 is Element of the of ()
((),t) `1 is set
(((),t) `1) `2 is set
((),(t `3_3),((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),t) .--> (((),t) `2_3) is Relation-like {((),t)} -defined the of () -valued Function-like one-to-one finite set
{((),t)} is non empty finite set
{((),t)} --> (((),t) `2_3) is non empty Relation-like {((),t)} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),t)},{(((),t) `2_3)}:]
{(((),t) `2_3)} is non empty finite set
[:{((),t)},{(((),t) `2_3)}:] is non empty finite set
bool [:{((),t)},{(((),t) `2_3)}:] is non empty finite V36() set
(t `3_3) +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,n,(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> (((),t) `2_3) is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} is non empty finite set
{n} --> (((),t) `2_3) is non empty Relation-like {n} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{n},{(((),t) `2_3)}:]
[:{n},{(((),t) `2_3)}:] is non empty finite set
bool [:{n},{(((),t) `2_3)}:] is non empty finite V36() set
h +* (n .--> (((),t) `2_3)) is Relation-like Function-like set
s is Element of the of ()
((),h,n,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> s is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} --> s is non empty Relation-like {n} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{n},{s}:]
{s} is non empty finite set
[:{n},{s}:] is non empty finite set
bool [:{n},{s}:] is non empty finite V36() set
h +* (n .--> s) is Relation-like Function-like set
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `1_3 is Element of the of ()
(((),t) `1) `1 is set
((),t) + ((),((),t)) is V24() V25() integer ext-real set
[(((),t) `1_3),(((),t) + ((),((),t))),h] is V1() V2() set
[(((),t) `1_3),(((),t) + ((),((),t)))] is V1() set
[[(((),t) `1_3),(((),t) + ((),((),t)))],h] is V1() set
[1,(((),t) + ((),((),t))),h] is V1() V2() set
[1,(((),t) + ((),((),t)))] is V1() set
[[1,(((),t) + ((),((),t)))],h] is V1() set
((),[s2,t2,h]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[s2,t2,h] `1_3 is Element of the of ()
[s2,t2,h] `1 is set
([s2,t2,h] `1) `1 is set
((),[s2,t2,h]) is V24() V25() integer ext-real set
[s2,t2,h] `2_3 is V24() V25() integer ext-real Element of INT
([s2,t2,h] `1) `2 is set
([s2,t2,h] `3_3) . ((),[s2,t2,h]) is set
[([s2,t2,h] `1_3),(([s2,t2,h] `3_3) . ((),[s2,t2,h]))] is V1() set
the of () . [([s2,t2,h] `1_3),(([s2,t2,h] `3_3) . ((),[s2,t2,h]))] is set
s2i is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2i . ((),[s2,t2,h]) is set
[([s2,t2,h] `1_3),(s2i . ((),[s2,t2,h]))] is V1() set
() . [([s2,t2,h] `1_3),(s2i . ((),[s2,t2,h]))] is set
[s2,(s2i . ((),[s2,t2,h]))] is V1() set
() . [s2,(s2i . ((),[s2,t2,h]))] is set
h . ((),[s2,t2,h]) is set
[s2,(h . ((),[s2,t2,h]))] is V1() set
() . [s2,(h . ((),[s2,t2,h]))] is set
h . t2 is Element of the of ()
[1,(h . t2)] is V1() Element of [:NAT, the of ():]
[:NAT, the of ():] is non empty set
() . [1,(h . t2)] is set
((),((),[s2,t2,h])) is V24() V25() integer ext-real set
((),[s2,t2,h]) `3_3 is Element of {(- 1),0,1}
ski1 is Element of the of ()
pF is V24() V25() integer ext-real Element of INT
[ski1,pF,((),h,t2,s3k)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ski1,pF] is V1() set
[[ski1,pF],((),h,t2,s3k)] is V1() set
((),[s2,t2,h]) `2_3 is Element of the of ()
((),[s2,t2,h]) `1 is set
(((),[s2,t2,h]) `1) `2 is set
((),([s2,t2,h] `3_3),((),[s2,t2,h]),(((),[s2,t2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[s2,t2,h]) .--> (((),[s2,t2,h]) `2_3) is Relation-like {((),[s2,t2,h])} -defined the of () -valued Function-like one-to-one finite set
{((),[s2,t2,h])} is non empty finite set
{((),[s2,t2,h])} --> (((),[s2,t2,h]) `2_3) is non empty Relation-like {((),[s2,t2,h])} -defined the of () -valued {(((),[s2,t2,h]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[s2,t2,h])},{(((),[s2,t2,h]) `2_3)}:]
{(((),[s2,t2,h]) `2_3)} is non empty finite set
[:{((),[s2,t2,h])},{(((),[s2,t2,h]) `2_3)}:] is non empty finite set
bool [:{((),[s2,t2,h])},{(((),[s2,t2,h]) `2_3)}:] is non empty finite V36() set
([s2,t2,h] `3_3) +* (((),[s2,t2,h]) .--> (((),[s2,t2,h]) `2_3)) is Relation-like Function-like set
((),h,((),[s2,t2,h]),(((),[s2,t2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),[s2,t2,h]) .--> (((),[s2,t2,h]) `2_3)) is Relation-like Function-like set
((),h,t2,(((),[s2,t2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
t2 .--> (((),[s2,t2,h]) `2_3) is Relation-like INT -defined {t2} -defined the of () -valued Function-like one-to-one finite set
{t2} --> (((),[s2,t2,h]) `2_3) is non empty Relation-like {t2} -defined the of () -valued {(((),[s2,t2,h]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{t2},{(((),[s2,t2,h]) `2_3)}:]
[:{t2},{(((),[s2,t2,h]) `2_3)}:] is non empty finite set
bool [:{t2},{(((),[s2,t2,h]) `2_3)}:] is non empty finite V36() set
h +* (t2 .--> (((),[s2,t2,h]) `2_3)) is Relation-like Function-like set
((),[s2,t2,h]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[s2,t2,h]) `1_3 is Element of the of ()
(((),[s2,t2,h]) `1) `1 is set
((),[s2,t2,h]) + ((),((),[s2,t2,h])) is V24() V25() integer ext-real set
[(((),[s2,t2,h]) `1_3),(((),[s2,t2,h]) + ((),((),[s2,t2,h]))),((),h,t2,s3k)] is V1() V2() set
[(((),[s2,t2,h]) `1_3),(((),[s2,t2,h]) + ((),((),[s2,t2,h])))] is V1() set
[[(((),[s2,t2,h]) `1_3),(((),[s2,t2,h]) + ((),((),[s2,t2,h])))],((),h,t2,s3k)] is V1() set
[1,(((),[s2,t2,h]) + ((),((),[s2,t2,h]))),((),h,t2,s3k)] is V1() V2() set
[1,(((),[s2,t2,h]) + ((),((),[s2,t2,h])))] is V1() set
[[1,(((),[s2,t2,h]) + ((),((),[s2,t2,h])))],((),h,t2,s3k)] is V1() set
qF is V24() V25() integer ext-real Element of INT
[ski1,qF,((),h,t2,s3k)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ski1,qF] is V1() set
[[ski1,qF],((),h,t2,s3k)] is V1() set
((),((),h,t2,s3k),qF,s3k) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
qF .--> s3k is Relation-like INT -defined {qF} -defined the of () -valued Function-like one-to-one finite set
{qF} is non empty finite set
{qF} --> s3k is non empty Relation-like {qF} -defined the of () -valued {s3k} -valued Function-like constant total quasi_total finite Element of bool [:{qF},{s3k}:]
[:{qF},{s3k}:] is non empty finite set
bool [:{qF},{s3k}:] is non empty finite V36() set
((),h,t2,s3k) +* (qF .--> s3k) is Relation-like Function-like set
s1k is V24() V25() integer ext-real Element of INT
((),((),((),h,t2,s3k),qF,s3k),s1k,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s1k .--> s is Relation-like INT -defined {s1k} -defined the of () -valued Function-like one-to-one finite set
{s1k} is non empty finite set
{s1k} --> s is non empty Relation-like {s1k} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{s1k},{s}:]
[:{s1k},{s}:] is non empty finite set
bool [:{s1k},{s}:] is non empty finite V36() set
((),((),h,t2,s3k),qF,s3k) +* (s1k .--> s) is Relation-like Function-like set
[ski1,1] is V1() Element of [: the of (),NAT:]
[: the of (),NAT:] is non empty set
the of () . [ski1,1] is set
[ski1,1,1] is V1() V2() Element of [: the of (),NAT,NAT:]
[: the of (),NAT,NAT:] is non empty set
[ski1,1] is V1() set
[[ski1,1],1] is V1() set
the of () is Element of the of ()
((),[ski1,pF,((),h,t2,s3k)]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
[:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
((),[ski1,pF,((),h,t2,s3k)]) . h1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ski1,(((n + 1) + 1) + h1),((),h,t2,s3k)] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[: the of (),NAT,(Funcs (INT, the of ())):] is non empty set
[ski1,(((n + 1) + 1) + h1)] is V1() set
[[ski1,(((n + 1) + 1) + h1)],((),h,t2,s3k)] is V1() set
((),((),h,t2,s3k),qF,s3k) . n is set
h is V24() V25() integer ext-real set
((),((),h,t2,s3k),qF,s3k) . h is set
((),h,t2,s3k) . h is set
((),((),h,t2,s3k),qF,s3k) . h is set
ssk is Element of the of ()
[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ssk,qF] is V1() set
[[ssk,qF],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
q0 is Element of the of ()
[q0,s1k,((),((),h,t2,s3k),qF,s3k)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[q0,s1k] is V1() set
[[q0,s1k],((),((),h,t2,s3k),qF,s3k)] is V1() set
[q0,s1k,((),((),h,t2,s3k),qF,s3k)] `3_3 is Element of Funcs (INT, the of ())
((),((),h,t2,s3k),qF,s3k) . s1k is Element of the of ()
[2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is set
[ssk,0,(- 1)] is V1() V2() Element of [: the of (),NAT,REAL:]
[: the of (),NAT,REAL:] is non empty set
[ssk,0] is V1() set
[[ssk,0],(- 1)] is V1() set
((),((),h,t2,s3k),qF,s3k) . s1k is Element of the of ()
[2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is set
[ssk,0,(- 1)] is V1() V2() Element of [: the of (),NAT,REAL:]
[: the of (),NAT,REAL:] is non empty set
[ssk,0] is V1() set
[[ssk,0],(- 1)] is V1() set
((),((),h,t2,s3k),qF,s3k) . s1k is Element of the of ()
[2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is set
[ssk,0,(- 1)] is V1() V2() Element of [: the of (),NAT,REAL:]
[: the of (),NAT,REAL:] is non empty set
[ssk,0] is V1() set
[[ssk,0],(- 1)] is V1() set
((),((),h,t2,s3k),qF,s3k) . s1k is Element of the of ()
[2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),((),h,t2,s3k),qF,s3k) . s1k)] is set
[ssk,0,(- 1)] is V1() V2() Element of [: the of (),NAT,REAL:]
[: the of (),NAT,REAL:] is non empty set
[ssk,0] is V1() set
[[ssk,0],(- 1)] is V1() set
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1_3 is Element of the of ()
[q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1 is set
([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1) `1 is set
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) is V24() V25() integer ext-real set
[q0,s1k,((),((),h,t2,s3k),qF,s3k)] `2_3 is V24() V25() integer ext-real Element of INT
([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1) `2 is set
([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `3_3) . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) is set
[([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1_3),(([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `3_3) . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is V1() set
the of () . [([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1_3),(([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `3_3) . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is set
y is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
y . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) is set
[([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1_3),(y . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is V1() set
() . [([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `1_3),(y . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is set
[2,(y . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is V1() set
() . [2,(y . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is set
((),((),h,t2,s3k),qF,s3k) . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) is set
[2,(((),((),h,t2,s3k),qF,s3k) . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is V1() set
() . [2,(((),((),h,t2,s3k),qF,s3k) . ((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))] is set
((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])) is V24() V25() integer ext-real set
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `3_3 is Element of {(- 1),0,1}
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1 + 1) + h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k is V24() V25() integer ext-real Element of INT
[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ssk,k] is V1() set
[[ssk,k],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
((),[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
[ski1,qF,((),h,t2,s3k)] `3_3 is Element of Funcs (INT, the of ())
n + ((1 + 1) + h1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
(h1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((1 + 1) + h1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h1 + 1) + 1) + (((1 + 1) + h1) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1 + 1) + (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) . ((1 + 1) + (((h1 + 1) + 1) + (((1 + 1) + h1) + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ski1,qF,((),h,t2,s3k)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[ski1,qF,((),h,t2,s3k)] `1_3 is Element of the of ()
[ski1,qF,((),h,t2,s3k)] `1 is set
([ski1,qF,((),h,t2,s3k)] `1) `1 is set
((),[ski1,qF,((),h,t2,s3k)]) is V24() V25() integer ext-real set
[ski1,qF,((),h,t2,s3k)] `2_3 is V24() V25() integer ext-real Element of INT
([ski1,qF,((),h,t2,s3k)] `1) `2 is set
([ski1,qF,((),h,t2,s3k)] `3_3) . ((),[ski1,qF,((),h,t2,s3k)]) is set
[([ski1,qF,((),h,t2,s3k)] `1_3),(([ski1,qF,((),h,t2,s3k)] `3_3) . ((),[ski1,qF,((),h,t2,s3k)]))] is V1() set
the of () . [([ski1,qF,((),h,t2,s3k)] `1_3),(([ski1,qF,((),h,t2,s3k)] `3_3) . ((),[ski1,qF,((),h,t2,s3k)]))] is set
sn3 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
sn3 . ((),[ski1,qF,((),h,t2,s3k)]) is set
[([ski1,qF,((),h,t2,s3k)] `1_3),(sn3 . ((),[ski1,qF,((),h,t2,s3k)]))] is V1() set
() . [([ski1,qF,((),h,t2,s3k)] `1_3),(sn3 . ((),[ski1,qF,((),h,t2,s3k)]))] is set
[ski1,(sn3 . ((),[ski1,qF,((),h,t2,s3k)]))] is V1() set
() . [ski1,(sn3 . ((),[ski1,qF,((),h,t2,s3k)]))] is set
((),h,t2,s3k) . ((),[ski1,qF,((),h,t2,s3k)]) is set
[ski1,(((),h,t2,s3k) . ((),[ski1,qF,((),h,t2,s3k)]))] is V1() set
() . [ski1,(((),h,t2,s3k) . ((),[ski1,qF,((),h,t2,s3k)]))] is set
((),((),[ski1,qF,((),h,t2,s3k)])) is V24() V25() integer ext-real set
((),[ski1,qF,((),h,t2,s3k)]) `3_3 is Element of {(- 1),0,1}
((),((),((),h,t2,s3k),qF,s3k),s1k,s) . n is set
n + (h1 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + (h1 + 1)) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((n + (h1 + 1)) + 2) is set
tt is V24() V25() integer ext-real set
tt + 1 is V24() V25() integer ext-real Element of REAL
((n + (h1 + 1)) + 2) - 1 is V24() V25() integer ext-real Element of REAL
((),((),((),h,t2,s3k),qF,s3k),s1k,s) . tt is set
((),((),h,t2,s3k),qF,s3k) . tt is set
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3 is Element of the of ()
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1 is set
(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1) `2 is set
((),([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `3_3),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]),(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) .--> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3) is Relation-like {((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])} -defined the of () -valued Function-like one-to-one finite set
{((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])} is non empty finite set
{((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])} --> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3) is non empty Relation-like {((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])} -defined the of () -valued {(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])},{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)}:]
{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)} is non empty finite set
[:{((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])},{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)}:] is non empty finite set
bool [:{((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])},{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)}:] is non empty finite V36() set
([q0,s1k,((),((),h,t2,s3k),qF,s3k)] `3_3) +* (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) .--> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)) is Relation-like Function-like set
((),((),((),h,t2,s3k),qF,s3k),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]),(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),h,t2,s3k),qF,s3k) +* (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) .--> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)) is Relation-like Function-like set
((),((),((),h,t2,s3k),qF,s3k),s1k,(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s1k .--> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3) is Relation-like INT -defined {s1k} -defined the of () -valued Function-like one-to-one finite set
{s1k} --> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3) is non empty Relation-like {s1k} -defined the of () -valued {(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{s1k},{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)}:]
[:{s1k},{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)}:] is non empty finite set
bool [:{s1k},{(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)}:] is non empty finite V36() set
((),((),h,t2,s3k),qF,s3k) +* (s1k .--> (((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `2_3)) is Relation-like Function-like set
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1_3 is Element of the of ()
(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1) `1 is set
((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])) is V24() V25() integer ext-real set
[(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1_3),(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() set
[(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1_3),(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])))] is V1() set
[[(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) `1_3),(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
[ssk,(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]))),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() set
[ssk,(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])))] is V1() set
[[ssk,(((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)]) + ((),((),[q0,s1k,((),((),h,t2,s3k),qF,s3k)])))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
((),[ski1,qF,((),h,t2,s3k)]) `2_3 is Element of the of ()
((),[ski1,qF,((),h,t2,s3k)]) `1 is set
(((),[ski1,qF,((),h,t2,s3k)]) `1) `2 is set
((),([ski1,qF,((),h,t2,s3k)] `3_3),((),[ski1,qF,((),h,t2,s3k)]),(((),[ski1,qF,((),h,t2,s3k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[ski1,qF,((),h,t2,s3k)]) .--> (((),[ski1,qF,((),h,t2,s3k)]) `2_3) is Relation-like {((),[ski1,qF,((),h,t2,s3k)])} -defined the of () -valued Function-like one-to-one finite set
{((),[ski1,qF,((),h,t2,s3k)])} is non empty finite set
{((),[ski1,qF,((),h,t2,s3k)])} --> (((),[ski1,qF,((),h,t2,s3k)]) `2_3) is non empty Relation-like {((),[ski1,qF,((),h,t2,s3k)])} -defined the of () -valued {(((),[ski1,qF,((),h,t2,s3k)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[ski1,qF,((),h,t2,s3k)])},{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)}:]
{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)} is non empty finite set
[:{((),[ski1,qF,((),h,t2,s3k)])},{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)}:] is non empty finite set
bool [:{((),[ski1,qF,((),h,t2,s3k)])},{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)}:] is non empty finite V36() set
([ski1,qF,((),h,t2,s3k)] `3_3) +* (((),[ski1,qF,((),h,t2,s3k)]) .--> (((),[ski1,qF,((),h,t2,s3k)]) `2_3)) is Relation-like Function-like set
((),((),h,t2,s3k),((),[ski1,qF,((),h,t2,s3k)]),(((),[ski1,qF,((),h,t2,s3k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),h,t2,s3k) +* (((),[ski1,qF,((),h,t2,s3k)]) .--> (((),[ski1,qF,((),h,t2,s3k)]) `2_3)) is Relation-like Function-like set
((),((),h,t2,s3k),qF,(((),[ski1,qF,((),h,t2,s3k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
qF .--> (((),[ski1,qF,((),h,t2,s3k)]) `2_3) is Relation-like INT -defined {qF} -defined the of () -valued Function-like one-to-one finite set
{qF} --> (((),[ski1,qF,((),h,t2,s3k)]) `2_3) is non empty Relation-like {qF} -defined the of () -valued {(((),[ski1,qF,((),h,t2,s3k)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{qF},{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)}:]
[:{qF},{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)}:] is non empty finite set
bool [:{qF},{(((),[ski1,qF,((),h,t2,s3k)]) `2_3)}:] is non empty finite V36() set
((),h,t2,s3k) +* (qF .--> (((),[ski1,qF,((),h,t2,s3k)]) `2_3)) is Relation-like Function-like set
((),[ski1,qF,((),h,t2,s3k)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ski1,qF,((),h,t2,s3k)]) `1_3 is Element of the of ()
(((),[ski1,qF,((),h,t2,s3k)]) `1) `1 is set
((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)])) is V24() V25() integer ext-real set
[(((),[ski1,qF,((),h,t2,s3k)]) `1_3),(((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)]))),((),((),h,t2,s3k),qF,s3k)] is V1() V2() set
[(((),[ski1,qF,((),h,t2,s3k)]) `1_3),(((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)])))] is V1() set
[[(((),[ski1,qF,((),h,t2,s3k)]) `1_3),(((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)])))],((),((),h,t2,s3k),qF,s3k)] is V1() set
[2,(((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)]))),((),((),h,t2,s3k),qF,s3k)] is V1() V2() set
[2,(((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)])))] is V1() set
[[2,(((),[ski1,qF,((),h,t2,s3k)]) + ((),((),[ski1,qF,((),h,t2,s3k)])))],((),((),h,t2,s3k),qF,s3k)] is V1() set
tt is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + tt is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) . tt is Element of [: the of (),INT,(Funcs (INT, the of ())):]
qF - tt is V24() V25() integer ext-real Element of REAL
[3,(qF - tt),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[:NAT,REAL,(Funcs (INT, the of ())):] is non empty set
[3,(qF - tt)] is V1() set
[[3,(qF - tt)],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
tt + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + (tt + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) . (tt + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
qF - (tt + 1) is V24() V25() integer ext-real Element of REAL
[3,(qF - (tt + 1)),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[3,(qF - (tt + 1))] is V1() set
[[3,(qF - (tt + 1))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
(n + tt) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
ik is V24() V25() integer ext-real Element of INT
[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ssk,ik] is V1() set
[[ssk,ik],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3 is Element of Funcs (INT, the of ())
qF + tt is V24() V25() integer ext-real Element of REAL
qF + 0 is V24() V25() integer ext-real Element of REAL
n - 0 is V24() V25() integer ext-real Element of REAL
((n + h1) + 2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
ii is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ii is set
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3 is Element of the of ()
[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1 is set
([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1) `1 is set
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is V24() V25() integer ext-real set
[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `2_3 is V24() V25() integer ext-real Element of INT
([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1) `2 is set
([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is set
[([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
the of () . [([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
tt is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
tt . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is set
[([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(tt . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
() . [([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(tt . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
[ssk,(tt . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
() . [ssk,(tt . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is set
[ssk,(((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
() . [ssk,(((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])) is V24() V25() integer ext-real set
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `3_3 is Element of {(- 1),0,1}
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3 is Element of the of ()
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1 is set
(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1) `2 is set
((),([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]),(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) .--> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is Relation-like {((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} -defined the of () -valued Function-like one-to-one finite set
{((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} is non empty finite set
{((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} --> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is non empty Relation-like {((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} -defined the of () -valued {(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])},{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:]
{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)} is non empty finite set
[:{((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])},{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite set
bool [:{((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])},{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite V36() set
([ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) +* (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) .--> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,t2,s3k),qF,s3k),s1k,s),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]),(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),((),h,t2,s3k),qF,s3k),s1k,s) +* (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) .--> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,t2,s3k),qF,s3k),s1k,s),(qF - tt),(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
(qF - tt) .--> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is Relation-like REAL -defined {(qF - tt)} -defined the of () -valued Function-like one-to-one finite set
{(qF - tt)} is non empty finite set
{(qF - tt)} --> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is non empty Relation-like {(qF - tt)} -defined the of () -valued {(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(qF - tt)},{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:]
[:{(qF - tt)},{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite set
bool [:{(qF - tt)},{(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite V36() set
((),((),((),h,t2,s3k),qF,s3k),s1k,s) +* ((qF - tt) .--> (((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,t2,s3k),qF,s3k),s1k,s),(qF - tt),s3k) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
(qF - tt) .--> s3k is Relation-like REAL -defined {(qF - tt)} -defined the of () -valued Function-like one-to-one finite set
{(qF - tt)} --> s3k is non empty Relation-like {(qF - tt)} -defined the of () -valued {s3k} -valued Function-like constant total quasi_total finite Element of bool [:{(qF - tt)},{s3k}:]
[:{(qF - tt)},{s3k}:] is non empty finite set
bool [:{(qF - tt)},{s3k}:] is non empty finite V36() set
((),((),((),h,t2,s3k),qF,s3k),s1k,s) +* ((qF - tt) .--> s3k) is Relation-like Function-like set
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3 is Element of the of ()
(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1) `1 is set
((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])) is V24() V25() integer ext-real set
[(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3),(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() set
[(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3),(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))] is V1() set
[[(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3),(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
[3,(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() set
[3,(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))] is V1() set
[[3,(((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,ik,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
(qF - tt) + (- 1) is V24() V25() integer ext-real Element of REAL
[3,((qF - tt) + (- 1)),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[3,((qF - tt) + (- 1))] is V1() set
[[3,((qF - tt) + (- 1))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
n + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) . 0 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
qF - 0 is V24() V25() integer ext-real Element of REAL
[3,(qF - 0),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[:NAT,REAL,(Funcs (INT, the of ())):] is non empty set
[3,(qF - 0)] is V1() set
[[3,(qF - 0)],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
((),[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) . ((1 + 1) + h1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
qF - ((1 + 1) + h1) is V24() V25() integer ext-real Element of REAL
[3,(qF - ((1 + 1) + h1)),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,REAL,(Funcs (INT, the of ())):]
[3,(qF - ((1 + 1) + h1))] is V1() set
[[3,(qF - ((1 + 1) + h1))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3 is Element of Funcs (INT, the of ())
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3 is Element of the of ()
[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1 is set
([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1) `1 is set
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is V24() V25() integer ext-real set
[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `2_3 is V24() V25() integer ext-real Element of INT
([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1) `2 is set
([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is set
[([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
the of () . [([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
tt is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
tt . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is set
[([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(tt . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
() . [([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `1_3),(tt . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
[3,(tt . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
() . [3,(tt . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is set
[3,(((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is V1() set
() . [3,(((),((),((),h,t2,s3k),qF,s3k),s1k,s) . ((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))] is set
((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])) is V24() V25() integer ext-real set
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `3_3 is Element of {(- 1),0,1}
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3 is Element of the of ()
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1 is set
(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1) `2 is set
((),([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]),(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) .--> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is Relation-like {((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} -defined the of () -valued Function-like one-to-one finite set
{((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} is non empty finite set
{((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} --> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is non empty Relation-like {((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])} -defined the of () -valued {(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])},{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:]
{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)} is non empty finite set
[:{((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])},{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite set
bool [:{((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])},{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite V36() set
([ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] `3_3) +* (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) .--> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,t2,s3k),qF,s3k),s1k,s),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]),(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),((),h,t2,s3k),qF,s3k),s1k,s) +* (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) .--> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,t2,s3k),qF,s3k),s1k,s),n,(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} --> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3) is non empty Relation-like {n} -defined the of () -valued {(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{n},{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:]
[:{n},{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite set
bool [:{n},{(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)}:] is non empty finite V36() set
((),((),((),h,t2,s3k),qF,s3k),s1k,s) +* (n .--> (((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),((),h,t2,s3k),qF,s3k),s1k,s),n,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),((),h,t2,s3k),qF,s3k),s1k,s) +* (n .--> s) is Relation-like Function-like set
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3 is Element of the of ()
(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1) `1 is set
((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])) is V24() V25() integer ext-real set
[(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3),(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() set
[(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3),(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))] is V1() set
[[(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) `1_3),(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
[4,(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]))),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() set
[4,(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))] is V1() set
[[4,(((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) + ((),((),[ssk,k,((),((),((),h,t2,s3k),qF,s3k),s1k,s)])))],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
[4,(n + 0),((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[4,(n + 0)] is V1() set
[[4,(n + 0)],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
((),t) . (1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . (1 + 1))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),(((),t) . (1 + 1))) . (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) . 1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),t) . 1))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),(((),t) . 1))) . (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),[s2,t2,h])) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),[s2,t2,h])) . (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ski1,pF,((),h,t2,s3k)]) . ((h1 + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[ski1,pF,((),h,t2,s3k)]) . ((h1 + 1) + 1))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),(((),[ski1,pF,((),h,t2,s3k)]) . ((h1 + 1) + 1))) . (((1 + 1) + h1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ski1,pF,((),h,t2,s3k)]) . (h1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[ski1,pF,((),h,t2,s3k)]) . (h1 + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),[ski1,pF,((),h,t2,s3k)]) . (h1 + 1)))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),((),(((),[ski1,pF,((),h,t2,s3k)]) . (h1 + 1)))) . (((1 + 1) + h1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ssk,qF,((),((),((),h,t2,s3k),qF,s3k),s1k,s)]) . (((1 + 1) + h1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
[4,n,((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[4,n] is V1() set
[[4,n],((),((),((),h,t2,s3k),qF,s3k),s1k,s)] is V1() set
(((),t) . ((1 + 1) + (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)))) `1_3 is Element of the of ()
(((),t) . ((1 + 1) + (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)))) `1 is set
((((),t) . ((1 + 1) + (((h1 + 1) + 1) + (((1 + 1) + h1) + 1)))) `1) `1 is set
1 succ 1 is non empty Relation-like NAT * -defined Function-like V53() homogeneous V147() V152() V153(1) set
h1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
proj1 (1 succ 1) is set
t is Element of [: the of (),INT,(Funcs (INT, the of ())):]
the of () is Element of the of ()
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[ the of (),n,h] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[: the of (),NAT,(Funcs (INT, the of ())):] is non empty set
[ the of (),n] is V1() set
[[ the of (),n],h] is V1() set
<*n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,n] is V1() set
{[1,n]} is non empty finite set
<*n*> ^ h1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
[0,n,h] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,n] is V1() set
[[0,n],h] is V1() set
1 -tuples_on NAT is FinSequenceSet of NAT
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*s1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,s1] is V1() set
{[1,s1]} is non empty finite set
<*n,s1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*n*> ^ <*s1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `2_3 is V24() V25() integer ext-real Element of INT
((),t) `1 is set
(((),t) `1) `2 is set
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h1 /. 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1 succ 1) . h1 is set
<*t2,(s1 + 1)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*t2*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,t2] is V1() set
{[1,t2]} is non empty finite set
<*(s1 + 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(s1 + 1)] is V1() set
{[1,(s1 + 1)]} is non empty finite set
<*t2*> ^ <*(s1 + 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
((),t) `3_3 is Element of Funcs (INT, the of ())
<*t2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,s2] is V1() set
{[1,s2]} is non empty finite set
<*t2*> ^ <*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
([:(4),{0,1}:],{(- 1),0,1},1) is Relation-like [:(4),{0,1}:] -defined [:[:(4),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:[:(4),{0,1}:],{(- 1),0,1}:]:]
([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1]) is Relation-like Function-like finite set
([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1]) is Relation-like [:NAT,NAT:] -defined {[1,1]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[1,1]} --> [2,1,1] is non empty Relation-like {[1,1]} -defined [:NAT,NAT,NAT:] -valued {[2,1,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[1,1]},{[2,1,1]}:]
[:{[1,1]},{[2,1,1]}:] is non empty finite set
bool [:{[1,1]},{[2,1,1]}:] is non empty finite V36() set
(([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1]) is Relation-like Function-like finite set
((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)]) is Relation-like Function-like finite set
(((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)]) is Relation-like Function-like finite set
([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,1,(- 1)]) is Relation-like [:NAT,NAT:] -defined {[3,1]} -defined [:NAT,NAT,REAL:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,REAL:]:]
{[3,1]} --> [4,1,(- 1)] is non empty Relation-like {[3,1]} -defined [:NAT,NAT,REAL:] -valued {[4,1,(- 1)]} -valued Function-like constant total quasi_total finite Element of bool [:{[3,1]},{[4,1,(- 1)]}:]
[:{[3,1]},{[4,1,(- 1)]}:] is non empty finite set
bool [:{[3,1]},{[4,1,(- 1)]}:] is non empty finite V36() set
((((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[3,1],[4,1,(- 1)]) is Relation-like Function-like finite set
[:[:(4),{0,1}:],{(- 1),0,1}:] is non empty Relation-like [:NAT,NAT:] -defined REAL -valued finite Element of bool [:[:NAT,NAT:],REAL:]
[:[:NAT,NAT:],REAL:] is non empty set
bool [:[:NAT,NAT:],REAL:] is non empty set
k is Element of {(- 1),0,1}
([:(4),{0,1}:],{(- 1),0,1},k) is Relation-like [:(4),{0,1}:] -defined [:[:(4),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:[:(4),{0,1}:],{(- 1),0,1}:]:]
[:(4),{0,1}:] is non empty finite set
[:(4),{0,1},{(- 1),0,1}:] is non empty finite set
s1k is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
s is epsilon-transitive epsilon-connected ordinal Element of (4)
q0 is Element of {0,1}
[s,q0] is V1() Element of [:(4),{0,1}:]
t is epsilon-transitive epsilon-connected ordinal Element of (4)
[t,q0,k] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[t,q0] is V1() set
[[t,q0],k] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,k]) is Relation-like [:(4),{0,1}:] -defined {[s,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[s,q0]} is non empty finite set
[:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
{[s,q0]} --> [t,q0,k] is non empty Relation-like {[s,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[t,q0,k]} -valued Function-like constant total quasi_total finite Element of bool [:{[s,q0]},{[t,q0,k]}:]
{[t,q0,k]} is non empty finite set
[:{[s,q0]},{[t,q0,k]}:] is non empty finite set
bool [:{[s,q0]},{[t,q0,k]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s1k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,k])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
pF is Element of {0,1}
[t,pF] is V1() Element of [:(4),{0,1}:]
h is epsilon-transitive epsilon-connected ordinal Element of (4)
[h,pF,k] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[h,pF] is V1() set
[[h,pF],k] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[h,pF,k]) is Relation-like [:(4),{0,1}:] -defined {[t,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[t,pF]} is non empty finite set
{[t,pF]} --> [h,pF,k] is non empty Relation-like {[t,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[h,pF,k]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,pF]},{[h,pF,k]}:]
{[h,pF,k]} is non empty finite set
[:{[t,pF]},{[h,pF,k]}:] is non empty finite set
bool [:{[t,pF]},{[h,pF,k]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s1k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[h,pF,k])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[h,q0] is V1() Element of [:(4),{0,1}:]
n is epsilon-transitive epsilon-connected ordinal Element of (4)
qF is Element of {(- 1),0,1}
[n,q0,qF] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[n,q0] is V1() set
[[n,q0],qF] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF]) is Relation-like [:(4),{0,1}:] -defined {[h,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[h,q0]} is non empty finite set
{[h,q0]} --> [n,q0,qF] is non empty Relation-like {[h,q0]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[n,q0,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,q0]},{[n,q0,qF]}:]
{[n,q0,qF]} is non empty finite set
[:{[h,q0]},{[n,q0,qF]}:] is non empty finite set
bool [:{[h,q0]},{[n,q0,qF]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s1k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[h,pF,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[h,pF] is V1() Element of [:(4),{0,1}:]
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF]) is Relation-like [:(4),{0,1}:] -defined {[h,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[h,pF]} is non empty finite set
{[h,pF]} --> [n,q0,qF] is non empty Relation-like {[h,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[n,q0,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,pF]},{[n,q0,qF]}:]
[:{[h,pF]},{[n,q0,qF]}:] is non empty finite set
bool [:{[h,pF]},{[n,q0,qF]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s1k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[h,pF,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
[n,pF] is V1() Element of [:(4),{0,1}:]
h1 is epsilon-transitive epsilon-connected ordinal Element of (4)
[h1,pF,qF] is V1() V2() Element of [:(4),{0,1},{(- 1),0,1}:]
[h1,pF] is V1() set
[[h1,pF],qF] is V1() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,pF],[h1,pF,qF]) is Relation-like [:(4),{0,1}:] -defined {[n,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
{[n,pF]} is non empty finite set
{[n,pF]} --> [h1,pF,qF] is non empty Relation-like {[n,pF]} -defined [:(4),{0,1},{(- 1),0,1}:] -valued {[h1,pF,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[n,pF]},{[h1,pF,qF]}:]
{[h1,pF,qF]} is non empty finite set
[:{[n,pF]},{[h1,pF,qF]}:] is non empty finite set
bool [:{[n,pF]},{[h1,pF,qF]}:] is non empty finite V36() set
([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],s1k,([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[s,q0],[t,q0,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[t,pF],[h,pF,k])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,q0],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[h,pF],[n,q0,qF])),([:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:],[n,pF],[h1,pF,qF])) is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
() is Relation-like [:(4),{0,1}:] -defined [:(4),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(4),{0,1}:],[:(4),{0,1},{(- 1),0,1}:]:]
() . [0,0] is set
() . [1,1] is set
() . [2,0] is set
() . [2,1] is set
() . [3,1] is set
((((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [0,0] is set
(((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [0,0] is set
((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) . [0,0] is set
(([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) . [0,0] is set
((((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [1,1] is set
(((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [1,1] is set
((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) . [1,1] is set
((((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [2,0] is set
(((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) . [2,0] is set
((((([:(4),{0,1}:],{(- 1),0,1},1) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[2,1,1])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,0],[3,0,(- 1)])) +* ([:NAT,NAT:],[:NAT,NAT,REAL:],[2,1],[3,0,(- 1)])) . [2,1] is set
h is epsilon-transitive epsilon-connected ordinal Element of (4)
t is epsilon-transitive epsilon-connected ordinal Element of (4)
({0,1},(4),(),h,t) is () ()
the of ({0,1},(4),(),h,t) is non empty finite set
the of ({0,1},(4),(),h,t) is non empty finite set
[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t):] is non empty finite set
[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t),{(- 1),0,1}:] is non empty finite set
the of ({0,1},(4),(),h,t) is Relation-like [: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t):] -defined [: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t):],[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t),{(- 1),0,1}:]:]
[:[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t):],[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t):],[: the of ({0,1},(4),(),h,t), the of ({0,1},(4),(),h,t),{(- 1),0,1}:]:] is non empty finite V36() set
the of ({0,1},(4),(),h,t) is Element of the of ({0,1},(4),(),h,t)
the of ({0,1},(4),(),h,t) is Element of the of ({0,1},(4),(),h,t)
s is () ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
the of s is Element of the of s
t is () ()
the of t is non empty finite set
the of t is non empty finite set
[: the of t, the of t:] is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
the of t is Element of the of t
the of t is Element of the of t
() is () ()
the of () is non empty finite set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the of () is non empty finite set
Funcs (INT, the of ()) is non empty FUNCTION_DOMAIN of INT , the of ()
[: the of (),INT,(Funcs (INT, the of ())):] is non empty set
s is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
s `1_3 is Element of the of ()
s `1 is set
(s `1) `1 is set
s `3_3 is Element of Funcs (INT, the of ())
((),s) is V24() V25() integer ext-real set
s `2_3 is V24() V25() integer ext-real Element of INT
(s `1) `2 is set
(s `3_3) . ((),s) is set
[(s `1_3),((s `3_3) . ((),s))] is V1() set
the of () . [(s `1_3),((s `3_3) . ((),s))] is set
((),s) `1_3 is Element of the of ()
((),s) `1 is set
(((),s) `1) `1 is set
((),((),s)) is V24() V25() integer ext-real set
((),s) `3_3 is Element of {(- 1),0,1}
((),s) + ((),((),s)) is V24() V25() integer ext-real set
((),s) `2_3 is Element of the of ()
(((),s) `1) `2 is set
((),(s `3_3),((),s),(((),s) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),s) .--> (((),s) `2_3) is Relation-like {((),s)} -defined the of () -valued Function-like one-to-one finite set
{((),s)} is non empty finite set
{((),s)} --> (((),s) `2_3) is non empty Relation-like {((),s)} -defined the of () -valued {(((),s) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),s)},{(((),s) `2_3)}:]
{(((),s) `2_3)} is non empty finite set
[:{((),s)},{(((),s) `2_3)}:] is non empty finite set
bool [:{((),s)},{(((),s) `2_3)}:] is non empty finite V36() set
(s `3_3) +* (((),s) .--> (((),s) `2_3)) is Relation-like Function-like set
[(((),s) `1_3),(((),s) + ((),((),s))),((),(s `3_3),((),s),(((),s) `2_3))] is V1() V2() set
[(((),s) `1_3),(((),s) + ((),((),s)))] is V1() set
[[(((),s) `1_3),(((),s) + ((),((),s)))],((),(s `3_3),((),s),(((),s) `2_3))] is V1() set
t is set
h is set
n is set
[t,h,n] is V1() V2() set
[t,h] is V1() set
[[t,h],n] is V1() set
the of () is Element of the of ()
t is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `2_3 is V24() V25() integer ext-real Element of INT
((),t) `1 is set
(((),t) `1) `2 is set
((),t) `3_3 is Element of Funcs (INT, the of ())
h is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[0,n,h] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,n] is V1() set
[[0,n],h] is V1() set
<*n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,n] is V1() set
{[1,n]} is non empty finite set
<*n,0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
<*0*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
{[1,0]} is non empty finite set
<*n*> ^ <*0*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*n*> ^ h1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
t `3_3 is Element of Funcs (INT, the of ())
n + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + (h1 /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + (h1 /. 1)) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t2 is V24() V25() integer ext-real Element of INT
pF is Element of the of ()
[pF,t2,h] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[pF,t2] is V1() set
[[pF,t2],h] is V1() set
t2 + 1 is V24() V25() integer ext-real Element of REAL
k is V24() V25() integer ext-real Element of INT
s1k is Element of the of ()
((),h,t2,s1k) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
t2 .--> s1k is Relation-like INT -defined {t2} -defined the of () -valued Function-like one-to-one finite set
{t2} is non empty finite set
{t2} --> s1k is non empty Relation-like {t2} -defined the of () -valued {s1k} -valued Function-like constant total quasi_total finite Element of bool [:{t2},{s1k}:]
{s1k} is non empty finite set
[:{t2},{s1k}:] is non empty finite set
bool [:{t2},{s1k}:] is non empty finite V36() set
h +* (t2 .--> s1k) is Relation-like Function-like set
s is Element of the of ()
((),((),h,t2,s1k),k,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
k .--> s is Relation-like INT -defined {k} -defined the of () -valued Function-like one-to-one finite set
{k} is non empty finite set
{k} --> s is non empty Relation-like {k} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{k},{s}:]
{s} is non empty finite set
[:{k},{s}:] is non empty finite set
bool [:{k},{s}:] is non empty finite V36() set
((),h,t2,s1k) +* (k .--> s) is Relation-like Function-like set
((),((),((),h,t2,s1k),k,s),t2,s1k) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),h,t2,s1k),k,s) +* (t2 .--> s1k) is Relation-like Function-like set
h . n is set
((),h,t2,s1k) . n is set
((),((),h,t2,s1k),k,s) . n is set
((),((),((),h,t2,s1k),k,s),t2,s1k) . n is set
((),t) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
t `1_3 is Element of the of ()
t `1 is set
(t `1) `1 is set
((),t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . ((),t) is set
[(t `1_3),((t `3_3) . ((),t))] is V1() set
the of () . [(t `1_3),((t `3_3) . ((),t))] is set
s1 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s1 . ((),t) is set
[(t `1_3),(s1 . ((),t))] is V1() set
() . [(t `1_3),(s1 . ((),t))] is set
[0,(s1 . ((),t))] is V1() set
() . [0,(s1 . ((),t))] is set
h . ((),t) is set
[0,(h . ((),t))] is V1() set
() . [0,(h . ((),t))] is set
((),((),t)) is V24() V25() integer ext-real set
((),t) `3_3 is Element of {(- 1),0,1}
((),t) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
[:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(1 + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((1 + 1) + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) . (((1 + 1) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(n + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + 0) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),((),((),h,t2,s1k),k,s),t2,s1k) . (n + 1) is set
ski1 is V24() V25() integer ext-real set
((),((),((),h,t2,s1k),k,s),t2,s1k) . ski1 is set
((),h,t2,s1k) . (n + 1) is set
((),((),h,t2,s1k),k,s) . (n + 1) is set
s2i is Element of the of ()
[s2i,t2,((),((),h,t2,s1k),k,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[s2i,t2] is V1() set
[[s2i,t2],((),((),h,t2,s1k),k,s)] is V1() set
[s2i,t2,((),((),h,t2,s1k),k,s)] `3_3 is Element of Funcs (INT, the of ())
((),[s2i,t2,((),((),h,t2,s1k),k,s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[s2i,t2,((),((),h,t2,s1k),k,s)] `1_3 is Element of the of ()
[s2i,t2,((),((),h,t2,s1k),k,s)] `1 is set
([s2i,t2,((),((),h,t2,s1k),k,s)] `1) `1 is set
((),[s2i,t2,((),((),h,t2,s1k),k,s)]) is V24() V25() integer ext-real set
[s2i,t2,((),((),h,t2,s1k),k,s)] `2_3 is V24() V25() integer ext-real Element of INT
([s2i,t2,((),((),h,t2,s1k),k,s)] `1) `2 is set
([s2i,t2,((),((),h,t2,s1k),k,s)] `3_3) . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]) is set
[([s2i,t2,((),((),h,t2,s1k),k,s)] `1_3),(([s2i,t2,((),((),h,t2,s1k),k,s)] `3_3) . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is V1() set
the of () . [([s2i,t2,((),((),h,t2,s1k),k,s)] `1_3),(([s2i,t2,((),((),h,t2,s1k),k,s)] `3_3) . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is set
ski is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
ski . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]) is set
[([s2i,t2,((),((),h,t2,s1k),k,s)] `1_3),(ski . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is V1() set
() . [([s2i,t2,((),((),h,t2,s1k),k,s)] `1_3),(ski . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is set
[s2i,(ski . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is V1() set
() . [s2i,(ski . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is set
((),((),h,t2,s1k),k,s) . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]) is set
[s2i,(((),((),h,t2,s1k),k,s) . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is V1() set
() . [s2i,(((),((),h,t2,s1k),k,s) . ((),[s2i,t2,((),((),h,t2,s1k),k,s)]))] is set
((),((),[s2i,t2,((),((),h,t2,s1k),k,s)])) is V24() V25() integer ext-real set
((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `3_3 is Element of {(- 1),0,1}
[pF,t2,h] `3_3 is Element of Funcs (INT, the of ())
n + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),[pF,t2,h]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[pF,t2,h] `1_3 is Element of the of ()
[pF,t2,h] `1 is set
([pF,t2,h] `1) `1 is set
((),[pF,t2,h]) is V24() V25() integer ext-real set
[pF,t2,h] `2_3 is V24() V25() integer ext-real Element of INT
([pF,t2,h] `1) `2 is set
([pF,t2,h] `3_3) . ((),[pF,t2,h]) is set
[([pF,t2,h] `1_3),(([pF,t2,h] `3_3) . ((),[pF,t2,h]))] is V1() set
the of () . [([pF,t2,h] `1_3),(([pF,t2,h] `3_3) . ((),[pF,t2,h]))] is set
f is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
f . ((),[pF,t2,h]) is set
[([pF,t2,h] `1_3),(f . ((),[pF,t2,h]))] is V1() set
() . [([pF,t2,h] `1_3),(f . ((),[pF,t2,h]))] is set
[pF,(f . ((),[pF,t2,h]))] is V1() set
() . [pF,(f . ((),[pF,t2,h]))] is set
h . ((),[pF,t2,h]) is set
[pF,(h . ((),[pF,t2,h]))] is V1() set
() . [pF,(h . ((),[pF,t2,h]))] is set
h . t2 is Element of the of ()
[1,(h . t2)] is V1() Element of [:NAT, the of ():]
[:NAT, the of ():] is non empty set
() . [1,(h . t2)] is set
((),((),[pF,t2,h])) is V24() V25() integer ext-real set
((),[pF,t2,h]) `3_3 is Element of {(- 1),0,1}
((),h,t2,s1k) . k is Element of the of ()
[2,(((),h,t2,s1k) . k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),h,t2,s1k) . k)] is set
((),h,t2,s1k) . k is Element of the of ()
[2,(((),h,t2,s1k) . k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),h,t2,s1k) . k)] is set
((),h,t2,s1k) . k is Element of the of ()
[2,(((),h,t2,s1k) . k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),h,t2,s1k) . k)] is set
((),h,t2,s1k) . k is Element of the of ()
[2,(((),h,t2,s1k) . k)] is V1() Element of [:NAT, the of ():]
() . [2,(((),h,t2,s1k) . k)] is set
ssk is Element of the of ()
[ssk,k,((),h,t2,s1k)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ssk,k] is V1() set
[[ssk,k],((),h,t2,s1k)] is V1() set
[ssk,k,((),h,t2,s1k)] `3_3 is Element of Funcs (INT, the of ())
((),[ssk,k,((),h,t2,s1k)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[ssk,k,((),h,t2,s1k)] `1_3 is Element of the of ()
[ssk,k,((),h,t2,s1k)] `1 is set
([ssk,k,((),h,t2,s1k)] `1) `1 is set
((),[ssk,k,((),h,t2,s1k)]) is V24() V25() integer ext-real set
[ssk,k,((),h,t2,s1k)] `2_3 is V24() V25() integer ext-real Element of INT
([ssk,k,((),h,t2,s1k)] `1) `2 is set
([ssk,k,((),h,t2,s1k)] `3_3) . ((),[ssk,k,((),h,t2,s1k)]) is set
[([ssk,k,((),h,t2,s1k)] `1_3),(([ssk,k,((),h,t2,s1k)] `3_3) . ((),[ssk,k,((),h,t2,s1k)]))] is V1() set
the of () . [([ssk,k,((),h,t2,s1k)] `1_3),(([ssk,k,((),h,t2,s1k)] `3_3) . ((),[ssk,k,((),h,t2,s1k)]))] is set
g is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
g . ((),[ssk,k,((),h,t2,s1k)]) is set
[([ssk,k,((),h,t2,s1k)] `1_3),(g . ((),[ssk,k,((),h,t2,s1k)]))] is V1() set
() . [([ssk,k,((),h,t2,s1k)] `1_3),(g . ((),[ssk,k,((),h,t2,s1k)]))] is set
[ssk,(g . ((),[ssk,k,((),h,t2,s1k)]))] is V1() set
() . [ssk,(g . ((),[ssk,k,((),h,t2,s1k)]))] is set
((),h,t2,s1k) . ((),[ssk,k,((),h,t2,s1k)]) is set
[ssk,(((),h,t2,s1k) . ((),[ssk,k,((),h,t2,s1k)]))] is V1() set
() . [ssk,(((),h,t2,s1k) . ((),[ssk,k,((),h,t2,s1k)]))] is set
((),((),[ssk,k,((),h,t2,s1k)])) is V24() V25() integer ext-real set
((),[ssk,k,((),h,t2,s1k)]) `3_3 is Element of {(- 1),0,1}
((),[ssk,k,((),h,t2,s1k)]) `2_3 is Element of the of ()
((),[ssk,k,((),h,t2,s1k)]) `1 is set
(((),[ssk,k,((),h,t2,s1k)]) `1) `2 is set
((),([ssk,k,((),h,t2,s1k)] `3_3),((),[ssk,k,((),h,t2,s1k)]),(((),[ssk,k,((),h,t2,s1k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[ssk,k,((),h,t2,s1k)]) .--> (((),[ssk,k,((),h,t2,s1k)]) `2_3) is Relation-like {((),[ssk,k,((),h,t2,s1k)])} -defined the of () -valued Function-like one-to-one finite set
{((),[ssk,k,((),h,t2,s1k)])} is non empty finite set
{((),[ssk,k,((),h,t2,s1k)])} --> (((),[ssk,k,((),h,t2,s1k)]) `2_3) is non empty Relation-like {((),[ssk,k,((),h,t2,s1k)])} -defined the of () -valued {(((),[ssk,k,((),h,t2,s1k)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[ssk,k,((),h,t2,s1k)])},{(((),[ssk,k,((),h,t2,s1k)]) `2_3)}:]
{(((),[ssk,k,((),h,t2,s1k)]) `2_3)} is non empty finite set
[:{((),[ssk,k,((),h,t2,s1k)])},{(((),[ssk,k,((),h,t2,s1k)]) `2_3)}:] is non empty finite set
bool [:{((),[ssk,k,((),h,t2,s1k)])},{(((),[ssk,k,((),h,t2,s1k)]) `2_3)}:] is non empty finite V36() set
([ssk,k,((),h,t2,s1k)] `3_3) +* (((),[ssk,k,((),h,t2,s1k)]) .--> (((),[ssk,k,((),h,t2,s1k)]) `2_3)) is Relation-like Function-like set
((),((),h,t2,s1k),((),[ssk,k,((),h,t2,s1k)]),(((),[ssk,k,((),h,t2,s1k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),h,t2,s1k) +* (((),[ssk,k,((),h,t2,s1k)]) .--> (((),[ssk,k,((),h,t2,s1k)]) `2_3)) is Relation-like Function-like set
((),((),h,t2,s1k),k,(((),[ssk,k,((),h,t2,s1k)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
k .--> (((),[ssk,k,((),h,t2,s1k)]) `2_3) is Relation-like INT -defined {k} -defined the of () -valued Function-like one-to-one finite set
{k} --> (((),[ssk,k,((),h,t2,s1k)]) `2_3) is non empty Relation-like {k} -defined the of () -valued {(((),[ssk,k,((),h,t2,s1k)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{k},{(((),[ssk,k,((),h,t2,s1k)]) `2_3)}:]
[:{k},{(((),[ssk,k,((),h,t2,s1k)]) `2_3)}:] is non empty finite set
bool [:{k},{(((),[ssk,k,((),h,t2,s1k)]) `2_3)}:] is non empty finite V36() set
((),h,t2,s1k) +* (k .--> (((),[ssk,k,((),h,t2,s1k)]) `2_3)) is Relation-like Function-like set
((),[ssk,k,((),h,t2,s1k)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ssk,k,((),h,t2,s1k)]) `1_3 is Element of the of ()
(((),[ssk,k,((),h,t2,s1k)]) `1) `1 is set
((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)])) is V24() V25() integer ext-real set
[(((),[ssk,k,((),h,t2,s1k)]) `1_3),(((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)]))),((),((),h,t2,s1k),k,s)] is V1() V2() set
[(((),[ssk,k,((),h,t2,s1k)]) `1_3),(((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)])))] is V1() set
[[(((),[ssk,k,((),h,t2,s1k)]) `1_3),(((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)])))],((),((),h,t2,s1k),k,s)] is V1() set
[3,(((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)]))),((),((),h,t2,s1k),k,s)] is V1() V2() set
[3,(((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)])))] is V1() set
[[3,(((),[ssk,k,((),h,t2,s1k)]) + ((),((),[ssk,k,((),h,t2,s1k)])))],((),((),h,t2,s1k),k,s)] is V1() set
((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3 is Element of the of ()
((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `1 is set
(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `1) `2 is set
((),([s2i,t2,((),((),h,t2,s1k),k,s)] `3_3),((),[s2i,t2,((),((),h,t2,s1k),k,s)]),(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[s2i,t2,((),((),h,t2,s1k),k,s)]) .--> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3) is Relation-like {((),[s2i,t2,((),((),h,t2,s1k),k,s)])} -defined the of () -valued Function-like one-to-one finite set
{((),[s2i,t2,((),((),h,t2,s1k),k,s)])} is non empty finite set
{((),[s2i,t2,((),((),h,t2,s1k),k,s)])} --> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3) is non empty Relation-like {((),[s2i,t2,((),((),h,t2,s1k),k,s)])} -defined the of () -valued {(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[s2i,t2,((),((),h,t2,s1k),k,s)])},{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)}:]
{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)} is non empty finite set
[:{((),[s2i,t2,((),((),h,t2,s1k),k,s)])},{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)}:] is non empty finite set
bool [:{((),[s2i,t2,((),((),h,t2,s1k),k,s)])},{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)}:] is non empty finite V36() set
([s2i,t2,((),((),h,t2,s1k),k,s)] `3_3) +* (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) .--> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),h,t2,s1k),k,s),((),[s2i,t2,((),((),h,t2,s1k),k,s)]),(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),((),h,t2,s1k),k,s) +* (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) .--> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)) is Relation-like Function-like set
((),((),((),h,t2,s1k),k,s),t2,(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
t2 .--> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3) is Relation-like INT -defined {t2} -defined the of () -valued Function-like one-to-one finite set
{t2} --> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3) is non empty Relation-like {t2} -defined the of () -valued {(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{t2},{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)}:]
[:{t2},{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)}:] is non empty finite set
bool [:{t2},{(((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)}:] is non empty finite V36() set
((),((),h,t2,s1k),k,s) +* (t2 .--> (((),[s2i,t2,((),((),h,t2,s1k),k,s)]) `2_3)) is Relation-like Function-like set
h is Element of the of ()
[h,t2,((),((),h,t2,s1k),k,s)] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[h,t2] is V1() set
[[h,t2],((),((),h,t2,s1k),k,s)] is V1() set
((),[h,t2,((),((),h,t2,s1k),k,s)]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[h,t2,((),((),h,t2,s1k),k,s)]) is Element of [: the of (), the of (),{(- 1),0,1}:]
[h,t2,((),((),h,t2,s1k),k,s)] `1_3 is Element of the of ()
[h,t2,((),((),h,t2,s1k),k,s)] `1 is set
([h,t2,((),((),h,t2,s1k),k,s)] `1) `1 is set
[h,t2,((),((),h,t2,s1k),k,s)] `3_3 is Element of Funcs (INT, the of ())
((),[h,t2,((),((),h,t2,s1k),k,s)]) is V24() V25() integer ext-real set
[h,t2,((),((),h,t2,s1k),k,s)] `2_3 is V24() V25() integer ext-real Element of INT
([h,t2,((),((),h,t2,s1k),k,s)] `1) `2 is set
([h,t2,((),((),h,t2,s1k),k,s)] `3_3) . ((),[h,t2,((),((),h,t2,s1k),k,s)]) is set
[([h,t2,((),((),h,t2,s1k),k,s)] `1_3),(([h,t2,((),((),h,t2,s1k),k,s)] `3_3) . ((),[h,t2,((),((),h,t2,s1k),k,s)]))] is V1() set
the of () . [([h,t2,((),((),h,t2,s1k),k,s)] `1_3),(([h,t2,((),((),h,t2,s1k),k,s)] `3_3) . ((),[h,t2,((),((),h,t2,s1k),k,s)]))] is set
((),[h,t2,((),((),h,t2,s1k),k,s)]) `1_3 is Element of the of ()
((),[h,t2,((),((),h,t2,s1k),k,s)]) `1 is set
(((),[h,t2,((),((),h,t2,s1k),k,s)]) `1) `1 is set
((),((),[h,t2,((),((),h,t2,s1k),k,s)])) is V24() V25() integer ext-real set
((),[h,t2,((),((),h,t2,s1k),k,s)]) `3_3 is Element of {(- 1),0,1}
((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)])) is V24() V25() integer ext-real set
[(((),[h,t2,((),((),h,t2,s1k),k,s)]) `1_3),(((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)]))),((),((),((),h,t2,s1k),k,s),t2,s1k)] is V1() V2() set
[(((),[h,t2,((),((),h,t2,s1k),k,s)]) `1_3),(((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)])))] is V1() set
[[(((),[h,t2,((),((),h,t2,s1k),k,s)]) `1_3),(((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)])))],((),((),((),h,t2,s1k),k,s),t2,s1k)] is V1() set
[4,(((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)]))),((),((),((),h,t2,s1k),k,s),t2,s1k)] is V1() V2() set
[4,(((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)])))] is V1() set
[[4,(((),[h,t2,((),((),h,t2,s1k),k,s)]) + ((),((),[h,t2,((),((),h,t2,s1k),k,s)])))],((),((),((),h,t2,s1k),k,s),t2,s1k)] is V1() set
[4,n,((),((),((),h,t2,s1k),k,s),t2,s1k)] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[4,n] is V1() set
[[4,n],((),((),((),h,t2,s1k),k,s),t2,s1k)] is V1() set
((),t) `2_3 is Element of the of ()
((),t) `1 is set
(((),t) `1) `2 is set
((),(t `3_3),((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),t) .--> (((),t) `2_3) is Relation-like {((),t)} -defined the of () -valued Function-like one-to-one finite set
{((),t)} is non empty finite set
{((),t)} --> (((),t) `2_3) is non empty Relation-like {((),t)} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),t)},{(((),t) `2_3)}:]
{(((),t) `2_3)} is non empty finite set
[:{((),t)},{(((),t) `2_3)}:] is non empty finite set
bool [:{((),t)},{(((),t) `2_3)}:] is non empty finite V36() set
(t `3_3) +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,n,(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> (((),t) `2_3) is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} is non empty finite set
{n} --> (((),t) `2_3) is non empty Relation-like {n} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{n},{(((),t) `2_3)}:]
[:{n},{(((),t) `2_3)}:] is non empty finite set
bool [:{n},{(((),t) `2_3)}:] is non empty finite V36() set
h +* (n .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,n,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> s is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} --> s is non empty Relation-like {n} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{n},{s}:]
[:{n},{s}:] is non empty finite set
bool [:{n},{s}:] is non empty finite V36() set
h +* (n .--> s) is Relation-like Function-like set
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `1_3 is Element of the of ()
(((),t) `1) `1 is set
((),t) + ((),((),t)) is V24() V25() integer ext-real set
[(((),t) `1_3),(((),t) + ((),((),t))),h] is V1() V2() set
[(((),t) `1_3),(((),t) + ((),((),t)))] is V1() set
[[(((),t) `1_3),(((),t) + ((),((),t)))],h] is V1() set
[1,(((),t) + ((),((),t))),h] is V1() V2() set
[1,(((),t) + ((),((),t)))] is V1() set
[[1,(((),t) + ((),((),t)))],h] is V1() set
((),[pF,t2,h]) `2_3 is Element of the of ()
((),[pF,t2,h]) `1 is set
(((),[pF,t2,h]) `1) `2 is set
((),([pF,t2,h] `3_3),((),[pF,t2,h]),(((),[pF,t2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),[pF,t2,h]) .--> (((),[pF,t2,h]) `2_3) is Relation-like {((),[pF,t2,h])} -defined the of () -valued Function-like one-to-one finite set
{((),[pF,t2,h])} is non empty finite set
{((),[pF,t2,h])} --> (((),[pF,t2,h]) `2_3) is non empty Relation-like {((),[pF,t2,h])} -defined the of () -valued {(((),[pF,t2,h]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),[pF,t2,h])},{(((),[pF,t2,h]) `2_3)}:]
{(((),[pF,t2,h]) `2_3)} is non empty finite set
[:{((),[pF,t2,h])},{(((),[pF,t2,h]) `2_3)}:] is non empty finite set
bool [:{((),[pF,t2,h])},{(((),[pF,t2,h]) `2_3)}:] is non empty finite V36() set
([pF,t2,h] `3_3) +* (((),[pF,t2,h]) .--> (((),[pF,t2,h]) `2_3)) is Relation-like Function-like set
((),h,((),[pF,t2,h]),(((),[pF,t2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),[pF,t2,h]) .--> (((),[pF,t2,h]) `2_3)) is Relation-like Function-like set
((),h,t2,(((),[pF,t2,h]) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
t2 .--> (((),[pF,t2,h]) `2_3) is Relation-like INT -defined {t2} -defined the of () -valued Function-like one-to-one finite set
{t2} --> (((),[pF,t2,h]) `2_3) is non empty Relation-like {t2} -defined the of () -valued {(((),[pF,t2,h]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{t2},{(((),[pF,t2,h]) `2_3)}:]
[:{t2},{(((),[pF,t2,h]) `2_3)}:] is non empty finite set
bool [:{t2},{(((),[pF,t2,h]) `2_3)}:] is non empty finite V36() set
h +* (t2 .--> (((),[pF,t2,h]) `2_3)) is Relation-like Function-like set
((),[pF,t2,h]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[pF,t2,h]) `1_3 is Element of the of ()
(((),[pF,t2,h]) `1) `1 is set
((),[pF,t2,h]) + ((),((),[pF,t2,h])) is V24() V25() integer ext-real set
[(((),[pF,t2,h]) `1_3),(((),[pF,t2,h]) + ((),((),[pF,t2,h]))),((),h,t2,s1k)] is V1() V2() set
[(((),[pF,t2,h]) `1_3),(((),[pF,t2,h]) + ((),((),[pF,t2,h])))] is V1() set
[[(((),[pF,t2,h]) `1_3),(((),[pF,t2,h]) + ((),((),[pF,t2,h])))],((),h,t2,s1k)] is V1() set
[2,(((),[pF,t2,h]) + ((),((),[pF,t2,h]))),((),h,t2,s1k)] is V1() V2() set
[2,(((),[pF,t2,h]) + ((),((),[pF,t2,h])))] is V1() set
[[2,(((),[pF,t2,h]) + ((),((),[pF,t2,h])))],((),h,t2,s1k)] is V1() set
((),t) . ((1 + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . ((1 + 1) + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) . (1 + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . (1 + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),t) . (1 + 1)))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) . 1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),(((),t) . 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),((),((),(((),t) . 1)))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((),t) . (((1 + 1) + 1) + 1)) `1_3 is Element of the of ()
(((),t) . (((1 + 1) + 1) + 1)) `1 is set
((((),t) . (((1 + 1) + 1) + 1)) `1) `1 is set
the of () is Element of the of ()
((),((),h,t2,s1k),k,s) . k is Element of the of ()
((),((),((),h,t2,s1k),k,s),t2,s1k) . k is Element of the of ()
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s const 0 is non empty Relation-like NAT * -defined Function-like V53() homogeneous V147() V152() set
s -tuples_on NAT is FinSequenceSet of NAT
(s -tuples_on NAT) --> 0 is Relation-like s -tuples_on NAT -defined NAT -valued Function-like constant total quasi_total Element of bool [:(s -tuples_on NAT),NAT:]
[:(s -tuples_on NAT),NAT:] is set
bool [:(s -tuples_on NAT),NAT:] is non empty set
{0} is non empty finite V36() set
[:(s -tuples_on NAT),{0}:] is set
s1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
proj1 (s const 0) is set
h is Element of [: the of (),INT,(Funcs (INT, the of ())):]
the of () is Element of the of ()
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[ the of (),h1,n] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[: the of (),NAT,(Funcs (INT, the of ())):] is non empty set
[ the of (),h1] is V1() set
[[ the of (),h1],n] is V1() set
<*h1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,h1] is V1() set
{[1,h1]} is non empty finite set
<*h1*> ^ s1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
arity (s const 0) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
{ b₁ where b₁ is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT * : len b₁ = s } is set
[0,h1,n] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,h1] is V1() set
[[0,h1],n] is V1() set
t2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),h) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),h) `2_3 is V24() V25() integer ext-real Element of INT
((),h) `1 is set
(((),h) `1) `2 is set
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is empty functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V24() V25() integer finite V36() FinSequence-membered ext-real Element of NAT
(s const 0) . s1 is set
<*t2,0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*t2*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,t2] is V1() set
{[1,t2]} is non empty finite set
<*0*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
{[1,0]} is non empty finite set
<*t2*> ^ <*0*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),h) `3_3 is Element of Funcs (INT, the of ())
q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*t2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,s2] is V1() set
{[1,s2]} is non empty finite set
<*t2*> ^ <*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
(3) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer finite ext-real Element of bool NAT
{ b<sub>1</sub> where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : b<sub>1</sub> <= 3 } is set
[:(3),{0,1}:] is non empty Relation-like NAT -defined NAT -valued finite Element of bool [:NAT,NAT:]
([:(3),{0,1}:],{(- 1),0,1},0) is Relation-like [:(3),{0,1}:] -defined [:[:(3),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:[:(3),{0,1}:],{(- 1),0,1}:]:]
[:[:(3),{0,1}:],{(- 1),0,1}:] is non empty finite set
[:[:(3),{0,1}:],[:[:(3),{0,1}:],{(- 1),0,1}:]:] is non empty finite set
bool [:[:(3),{0,1}:],[:[:(3),{0,1}:],{(- 1),0,1}:]:] is non empty finite V36() set
([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1]) is Relation-like Function-like finite set
([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1]) is Relation-like [:NAT,NAT:] -defined {[1,1]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[1,1]} --> [1,0,1] is non empty Relation-like {[1,1]} -defined [:NAT,NAT,NAT:] -valued {[1,0,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[1,1]},{[1,0,1]}:]
[:{[1,1]},{[1,0,1]}:] is non empty finite set
bool [:{[1,1]},{[1,0,1]}:] is non empty finite V36() set
(([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1]) is Relation-like Function-like finite set
[2,0,1] is V1() V2() Element of [:NAT,NAT,NAT:]
[2,0] is V1() set
[[2,0],1] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1]) is Relation-like [:NAT,NAT:] -defined {[1,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[1,0]} --> [2,0,1] is non empty Relation-like {[1,0]} -defined [:NAT,NAT,NAT:] -valued {[2,0,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[1,0]},{[2,0,1]}:]
{[2,0,1]} is non empty finite set
[:{[1,0]},{[2,0,1]}:] is non empty finite set
bool [:{[1,0]},{[2,0,1]}:] is non empty finite V36() set
((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1]) is Relation-like Function-like finite set
([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1]) is Relation-like [:NAT,NAT:] -defined {[2,1]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[2,1]} --> [2,0,1] is non empty Relation-like {[2,1]} -defined [:NAT,NAT,NAT:] -valued {[2,0,1]} -valued Function-like constant total quasi_total finite Element of bool [:{[2,1]},{[2,0,1]}:]
[:{[2,1]},{[2,0,1]}:] is non empty finite set
bool [:{[2,1]},{[2,0,1]}:] is non empty finite V36() set
(((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1]) is Relation-like Function-like finite set
[3,0,0] is V1() V2() Element of [:NAT,NAT,NAT:]
[[3,0],0] is V1() set
([:NAT,NAT:],[:NAT,NAT,NAT:],[2,0],[3,0,0]) is Relation-like [:NAT,NAT:] -defined {[2,0]} -defined [:NAT,NAT,NAT:] -valued Function-like one-to-one finite Element of bool [:[:NAT,NAT:],[:NAT,NAT,NAT:]:]
{[2,0]} --> [3,0,0] is non empty Relation-like {[2,0]} -defined [:NAT,NAT,NAT:] -valued {[3,0,0]} -valued Function-like constant total quasi_total finite Element of bool [:{[2,0]},{[3,0,0]}:]
{[3,0,0]} is non empty finite set
[:{[2,0]},{[3,0,0]}:] is non empty finite set
bool [:{[2,0]},{[3,0,0]}:] is non empty finite V36() set
((((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,0],[3,0,0]) is Relation-like Function-like finite set
[:(3),{0,1},{(- 1),0,1}:] is non empty finite Element of bool [:NAT,NAT,REAL:]
[:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
[:[:(3),{0,1}:],{(- 1),0,1}:] is non empty Relation-like [:NAT,NAT:] -defined REAL -valued finite Element of bool [:[:NAT,NAT:],REAL:]
[:[:NAT,NAT:],REAL:] is non empty set
bool [:[:NAT,NAT:],REAL:] is non empty set
pF is Element of {(- 1),0,1}
([:(3),{0,1}:],{(- 1),0,1},pF) is Relation-like [:(3),{0,1}:] -defined [:[:(3),{0,1}:],{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:[:(3),{0,1}:],{(- 1),0,1}:]:]
[:(3),{0,1}:] is non empty finite set
[:(3),{0,1},{(- 1),0,1}:] is non empty finite set
k is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
s is epsilon-transitive epsilon-connected ordinal Element of (3)
s2 is Element of {0,1}
[s,s2] is V1() Element of [:(3),{0,1}:]
t is epsilon-transitive epsilon-connected ordinal Element of (3)
qF is Element of {(- 1),0,1}
[t,s2,qF] is V1() V2() Element of [:(3),{0,1},{(- 1),0,1}:]
[t,s2] is V1() set
[[t,s2],qF] is V1() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[s,s2],[t,s2,qF]) is Relation-like [:(3),{0,1}:] -defined {[s,s2]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
{[s,s2]} is non empty finite set
[:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:] is non empty finite set
bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:] is non empty finite V36() set
{[s,s2]} --> [t,s2,qF] is non empty Relation-like {[s,s2]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued {[t,s2,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[s,s2]},{[t,s2,qF]}:]
{[t,s2,qF]} is non empty finite set
[:{[s,s2]},{[t,s2,qF]}:] is non empty finite set
bool [:{[s,s2]},{[t,s2,qF]}:] is non empty finite V36() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],k,([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[s,s2],[t,s2,qF])) is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
q0 is Element of {0,1}
[t,q0] is V1() Element of [:(3),{0,1}:]
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,q0],[t,s2,qF]) is Relation-like [:(3),{0,1}:] -defined {[t,q0]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
{[t,q0]} is non empty finite set
{[t,q0]} --> [t,s2,qF] is non empty Relation-like {[t,q0]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued {[t,s2,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,q0]},{[t,s2,qF]}:]
[:{[t,q0]},{[t,s2,qF]}:] is non empty finite set
bool [:{[t,q0]},{[t,s2,qF]}:] is non empty finite V36() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],k,([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[s,s2],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,q0],[t,s2,qF])) is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
[t,s2] is V1() Element of [:(3),{0,1}:]
h is epsilon-transitive epsilon-connected ordinal Element of (3)
[h,s2,qF] is V1() V2() Element of [:(3),{0,1},{(- 1),0,1}:]
[h,s2] is V1() set
[[h,s2],qF] is V1() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,s2],[h,s2,qF]) is Relation-like [:(3),{0,1}:] -defined {[t,s2]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
{[t,s2]} is non empty finite set
{[t,s2]} --> [h,s2,qF] is non empty Relation-like {[t,s2]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued {[h,s2,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[t,s2]},{[h,s2,qF]}:]
{[h,s2,qF]} is non empty finite set
[:{[t,s2]},{[h,s2,qF]}:] is non empty finite set
bool [:{[t,s2]},{[h,s2,qF]}:] is non empty finite V36() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],k,([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[s,s2],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,q0],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,s2],[h,s2,qF])) is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
[h,q0] is V1() Element of [:(3),{0,1}:]
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[h,q0],[h,s2,qF]) is Relation-like [:(3),{0,1}:] -defined {[h,q0]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
{[h,q0]} is non empty finite set
{[h,q0]} --> [h,s2,qF] is non empty Relation-like {[h,q0]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued {[h,s2,qF]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,q0]},{[h,s2,qF]}:]
[:{[h,q0]},{[h,s2,qF]}:] is non empty finite set
bool [:{[h,q0]},{[h,s2,qF]}:] is non empty finite V36() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],k,([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[s,s2],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,q0],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,s2],[h,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[h,q0],[h,s2,qF])) is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
[h,s2] is V1() Element of [:(3),{0,1}:]
n is epsilon-transitive epsilon-connected ordinal Element of (3)
[n,s2,pF] is V1() V2() Element of [:(3),{0,1},{(- 1),0,1}:]
[n,s2] is V1() set
[[n,s2],pF] is V1() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[h,s2],[n,s2,pF]) is Relation-like [:(3),{0,1}:] -defined {[h,s2]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like one-to-one finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
{[h,s2]} is non empty finite set
{[h,s2]} --> [n,s2,pF] is non empty Relation-like {[h,s2]} -defined [:(3),{0,1},{(- 1),0,1}:] -valued {[n,s2,pF]} -valued Function-like constant total quasi_total finite Element of bool [:{[h,s2]},{[n,s2,pF]}:]
{[n,s2,pF]} is non empty finite set
[:{[h,s2]},{[n,s2,pF]}:] is non empty finite set
bool [:{[h,s2]},{[n,s2,pF]}:] is non empty finite V36() set
([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],k,([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[s,s2],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,q0],[t,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[t,s2],[h,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[h,q0],[h,s2,qF])),([:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:],[h,s2],[n,s2,pF])) is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
() is Relation-like [:(3),{0,1}:] -defined [:(3),{0,1},{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(3),{0,1}:],[:(3),{0,1},{(- 1),0,1}:]:]
() . [0,0] is set
() . [1,1] is set
() . [1,0] is set
() . [2,1] is set
() . [2,0] is set
((((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1])) . [0,0] is set
(((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) . [0,0] is set
((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) . [0,0] is set
(([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) . [0,0] is set
((((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1])) . [1,1] is set
(((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) . [1,1] is set
((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) . [1,1] is set
((((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1])) . [1,0] is set
(((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) . [1,0] is set
((((([:(3),{0,1}:],{(- 1),0,1},0) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[0,0],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,1],[1,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[1,0],[2,0,1])) +* ([:NAT,NAT:],[:NAT,NAT,NAT:],[2,1],[2,0,1])) . [2,1] is set
h is epsilon-transitive epsilon-connected ordinal Element of (3)
t is epsilon-transitive epsilon-connected ordinal Element of (3)
({0,1},(3),(),h,t) is () ()
the of ({0,1},(3),(),h,t) is non empty finite set
the of ({0,1},(3),(),h,t) is non empty finite set
[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t):] is non empty finite set
[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t),{(- 1),0,1}:] is non empty finite set
the of ({0,1},(3),(),h,t) is Relation-like [: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t):] -defined [: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t):],[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t),{(- 1),0,1}:]:]
[:[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t):],[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t):],[: the of ({0,1},(3),(),h,t), the of ({0,1},(3),(),h,t),{(- 1),0,1}:]:] is non empty finite V36() set
the of ({0,1},(3),(),h,t) is Element of the of ({0,1},(3),(),h,t)
the of ({0,1},(3),(),h,t) is Element of the of ({0,1},(3),(),h,t)
s is () ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
the of s is Element of the of s
t is () ()
the of t is non empty finite set
the of t is non empty finite set
[: the of t, the of t:] is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
the of t is Element of the of t
the of t is Element of the of t
() is () ()
the of () is non empty finite set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the of () is non empty finite set
Funcs (INT, the of ()) is non empty FUNCTION_DOMAIN of INT , the of ()
[: the of (),INT,(Funcs (INT, the of ())):] is non empty set
s is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
s `1_3 is Element of the of ()
s `1 is set
(s `1) `1 is set
s `3_3 is Element of Funcs (INT, the of ())
((),s) is V24() V25() integer ext-real set
s `2_3 is V24() V25() integer ext-real Element of INT
(s `1) `2 is set
(s `3_3) . ((),s) is set
[(s `1_3),((s `3_3) . ((),s))] is V1() set
the of () . [(s `1_3),((s `3_3) . ((),s))] is set
((),s) `1_3 is Element of the of ()
((),s) `1 is set
(((),s) `1) `1 is set
((),((),s)) is V24() V25() integer ext-real set
((),s) `3_3 is Element of {(- 1),0,1}
((),s) + ((),((),s)) is V24() V25() integer ext-real set
((),s) `2_3 is Element of the of ()
(((),s) `1) `2 is set
((),(s `3_3),((),s),(((),s) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),s) .--> (((),s) `2_3) is Relation-like {((),s)} -defined the of () -valued Function-like one-to-one finite set
{((),s)} is non empty finite set
{((),s)} --> (((),s) `2_3) is non empty Relation-like {((),s)} -defined the of () -valued {(((),s) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),s)},{(((),s) `2_3)}:]
{(((),s) `2_3)} is non empty finite set
[:{((),s)},{(((),s) `2_3)}:] is non empty finite set
bool [:{((),s)},{(((),s) `2_3)}:] is non empty finite V36() set
(s `3_3) +* (((),s) .--> (((),s) `2_3)) is Relation-like Function-like set
[(((),s) `1_3),(((),s) + ((),((),s))),((),(s `3_3),((),s),(((),s) `2_3))] is V1() V2() set
[(((),s) `1_3),(((),s) + ((),((),s)))] is V1() set
[[(((),s) `1_3),(((),s) + ((),((),s)))],((),(s `3_3),((),s),(((),s) `2_3))] is V1() set
t is set
h is set
n is set
[t,h,n] is V1() V2() set
[t,h] is V1() set
[[t,h],n] is V1() set
the of () is Element of the of ()
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
t is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,t) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
h is Element of the of s
[h,1] is V1() Element of [: the of s,NAT:]
[: the of s,NAT:] is non empty set
the of s . [h,1] is set
[h,0,1] is V1() V2() Element of [: the of s,NAT,NAT:]
[: the of s,NAT,NAT:] is non empty set
[h,0] is V1() set
[[h,0],1] is V1() set
n is V24() V25() integer ext-real Element of INT
h1 is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[h,n,h1] is V1() V2() Element of [: the of s,INT,(Funcs (INT, the of s)):]
[h,n] is V1() set
[[h,n],h1] is V1() set
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t2 + s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . s1 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . s2 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t2 + s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,t) . (s2 + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t2 + (s2 + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[h,(t2 + s2),k] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[: the of s,NAT,(Funcs (INT, the of s)):] is non empty set
[h,(t2 + s2)] is V1() set
[[h,(t2 + s2)],k] is V1() set
k is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[h,(t2 + s2),k] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[: the of s,NAT,(Funcs (INT, the of s)):] is non empty set
[h,(t2 + s2)] is V1() set
[[h,(t2 + s2)],k] is V1() set
qF is V24() V25() integer ext-real Element of INT
k . qF is Element of the of s
h1 . qF is Element of the of s
q0 is Element of the of s
(s,k,(t2 + s2),q0) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(t2 + s2) .--> q0 is Relation-like NAT -defined {(t2 + s2)} -defined the of s -valued Function-like one-to-one finite set
{(t2 + s2)} is non empty finite set
{(t2 + s2)} --> q0 is non empty Relation-like {(t2 + s2)} -defined the of s -valued {q0} -valued Function-like constant total quasi_total finite Element of bool [:{(t2 + s2)},{q0}:]
{q0} is non empty finite set
[:{(t2 + s2)},{q0}:] is non empty finite set
bool [:{(t2 + s2)},{q0}:] is non empty finite V36() set
k +* ((t2 + s2) .--> q0) is Relation-like Function-like set
[h,qF,k] is V1() V2() Element of [: the of s,INT,(Funcs (INT, the of s)):]
[h,qF] is V1() set
[[h,qF],k] is V1() set
[h,qF,k] `3_3 is Element of Funcs (INT, the of s)
(s,[h,qF,k]) is Element of [: the of s, the of s,{(- 1),0,1}:]
[h,qF,k] `1_3 is Element of the of s
[h,qF,k] `1 is set
([h,qF,k] `1) `1 is set
(s,[h,qF,k]) is V24() V25() integer ext-real set
[h,qF,k] `2_3 is V24() V25() integer ext-real Element of INT
([h,qF,k] `1) `2 is set
([h,qF,k] `3_3) . (s,[h,qF,k]) is set
[([h,qF,k] `1_3),(([h,qF,k] `3_3) . (s,[h,qF,k]))] is V1() set
the of s . [([h,qF,k] `1_3),(([h,qF,k] `3_3) . (s,[h,qF,k]))] is set
m is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
m . (s,[h,qF,k]) is set
[h,(m . (s,[h,qF,k]))] is V1() set
the of s . [h,(m . (s,[h,qF,k]))] is set
k . (s,[h,qF,k]) is set
[h,(k . (s,[h,qF,k]))] is V1() set
the of s . [h,(k . (s,[h,qF,k]))] is set
(s,(s,[h,qF,k])) is V24() V25() integer ext-real set
(s,[h,qF,k]) `3_3 is Element of {(- 1),0,1}
(s,[h,qF,k]) `2_3 is Element of the of s
(s,[h,qF,k]) `1 is set
((s,[h,qF,k]) `1) `2 is set
(s,([h,qF,k] `3_3),(s,[h,qF,k]),((s,[h,qF,k]) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(s,[h,qF,k]) .--> ((s,[h,qF,k]) `2_3) is Relation-like {(s,[h,qF,k])} -defined the of s -valued Function-like one-to-one finite set
{(s,[h,qF,k])} is non empty finite set
{(s,[h,qF,k])} --> ((s,[h,qF,k]) `2_3) is non empty Relation-like {(s,[h,qF,k])} -defined the of s -valued {((s,[h,qF,k]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(s,[h,qF,k])},{((s,[h,qF,k]) `2_3)}:]
{((s,[h,qF,k]) `2_3)} is non empty finite set
[:{(s,[h,qF,k])},{((s,[h,qF,k]) `2_3)}:] is non empty finite set
bool [:{(s,[h,qF,k])},{((s,[h,qF,k]) `2_3)}:] is non empty finite V36() set
([h,qF,k] `3_3) +* ((s,[h,qF,k]) .--> ((s,[h,qF,k]) `2_3)) is Relation-like Function-like set
(s,k,(s,[h,qF,k]),((s,[h,qF,k]) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
k +* ((s,[h,qF,k]) .--> ((s,[h,qF,k]) `2_3)) is Relation-like Function-like set
(s,k,(t2 + s2),((s,[h,qF,k]) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(t2 + s2) .--> ((s,[h,qF,k]) `2_3) is Relation-like NAT -defined {(t2 + s2)} -defined the of s -valued Function-like one-to-one finite set
{(t2 + s2)} --> ((s,[h,qF,k]) `2_3) is non empty Relation-like {(t2 + s2)} -defined the of s -valued {((s,[h,qF,k]) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{(t2 + s2)},{((s,[h,qF,k]) `2_3)}:]
[:{(t2 + s2)},{((s,[h,qF,k]) `2_3)}:] is non empty finite set
bool [:{(t2 + s2)},{((s,[h,qF,k]) `2_3)}:] is non empty finite V36() set
k +* ((t2 + s2) .--> ((s,[h,qF,k]) `2_3)) is Relation-like Function-like set
s1k is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
(s,[h,qF,k]) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,[h,qF,k]) `1_3 is Element of the of s
((s,[h,qF,k]) `1) `1 is set
(s,[h,qF,k]) + (s,(s,[h,qF,k])) is V24() V25() integer ext-real set
[((s,[h,qF,k]) `1_3),((s,[h,qF,k]) + (s,(s,[h,qF,k]))),s1k] is V1() V2() set
[((s,[h,qF,k]) `1_3),((s,[h,qF,k]) + (s,(s,[h,qF,k])))] is V1() set
[[((s,[h,qF,k]) `1_3),((s,[h,qF,k]) + (s,(s,[h,qF,k])))],s1k] is V1() set
[h,((s,[h,qF,k]) + (s,(s,[h,qF,k]))),s1k] is V1() V2() set
[h,((s,[h,qF,k]) + (s,(s,[h,qF,k])))] is V1() set
[[h,((s,[h,qF,k]) + (s,(s,[h,qF,k])))],s1k] is V1() set
(t2 + s2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[h,((t2 + s2) + 1),s1k] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[h,((t2 + s2) + 1)] is V1() set
[[h,((t2 + s2) + 1)],s1k] is V1() set
[h,(t2 + (s2 + 1)),s1k] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[h,(t2 + (s2 + 1))] is V1() set
[[h,(t2 + (s2 + 1))],s1k] is V1() set
s2m is V24() V25() integer ext-real set
s1k . s2m is set
s1k . s2m is set
k . s2m is set
s2m is V24() V25() integer ext-real set
s1k . s2m is set
k . s2m is set
h1 . s2m is set
s1k . s2m is set
k . s2m is set
h1 . s2m is set
q0 is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[h,(t2 + (s2 + 1)),q0] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[[h,(t2 + (s2 + 1))],q0] is V1() set
(s,t) . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
t2 + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[h,(t2 + 0),s2] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[: the of s,NAT,(Funcs (INT, the of s)):] is non empty set
[h,(t2 + 0)] is V1() set
[[h,(t2 + 0)],s2] is V1() set
q0 is V24() V25() integer ext-real set
s2 . q0 is set
q0 is V24() V25() integer ext-real set
s2 . q0 is set
h1 . q0 is set
t is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `2_3 is V24() V25() integer ext-real Element of INT
((),t) `1 is set
(((),t) `1) `2 is set
((),t) `3_3 is Element of Funcs (INT, the of ())
h is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[0,n,h] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,n] is V1() set
[[0,n],h] is V1() set
<*n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,n] is V1() set
{[1,n]} is non empty finite set
h1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
len h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*n*> ^ h1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
h1 /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + (h1 /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 /. 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + (h1 /. 1)) + (h1 /. 2) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((n + (h1 /. 1)) + (h1 /. 2)) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 /. 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*(((n + (h1 /. 1)) + (h1 /. 2)) + 4),(h1 /. 3)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(((n + (h1 /. 1)) + (h1 /. 2)) + 4)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(((n + (h1 /. 1)) + (h1 /. 2)) + 4)] is V1() set
{[1,(((n + (h1 /. 1)) + (h1 /. 2)) + 4)]} is non empty finite set
<*(h1 /. 3)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(h1 /. 3)] is V1() set
{[1,(h1 /. 3)]} is non empty finite set
<*(((n + (h1 /. 1)) + (h1 /. 2)) + 4)*> ^ <*(h1 /. 3)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + (h1 /. 1)) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((n + (h1 /. 1)) + (h1 /. 2)) + (h1 /. 3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((n + (h1 /. 1)) + (h1 /. 2)) + (h1 /. 3)) + 6 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
t `3_3 is Element of Funcs (INT, the of ())
h . n is set
((),t) is Element of [: the of (), the of (),{(- 1),0,1}:]
[: the of (), the of (),{(- 1),0,1}:] is non empty finite set
the of () is Relation-like [: the of (), the of ():] -defined [: the of (), the of (),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:]
[: the of (), the of ():] is non empty finite set
[:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (), the of ():],[: the of (), the of (),{(- 1),0,1}:]:] is non empty finite V36() set
t `1_3 is Element of the of ()
t `1 is set
(t `1) `1 is set
((),t) is V24() V25() integer ext-real set
t `2_3 is V24() V25() integer ext-real Element of INT
(t `1) `2 is set
(t `3_3) . ((),t) is set
[(t `1_3),((t `3_3) . ((),t))] is V1() set
the of () . [(t `1_3),((t `3_3) . ((),t))] is set
q0 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
q0 . ((),t) is set
[(t `1_3),(q0 . ((),t))] is V1() set
() . [(t `1_3),(q0 . ((),t))] is set
[0,(q0 . ((),t))] is V1() set
() . [0,(q0 . ((),t))] is set
h . ((),t) is set
[0,(h . ((),t))] is V1() set
() . [0,(h . ((),t))] is set
((),((),t)) is V24() V25() integer ext-real set
((),t) `3_3 is Element of {(- 1),0,1}
(h1 /. 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
pF is Element of the of ()
k is V24() V25() integer ext-real Element of INT
[pF,k,h] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[pF,k] is V1() set
[[pF,k],h] is V1() set
h . (((n + (h1 /. 1)) + (h1 /. 2)) + 4) is set
((),t) `2_3 is Element of the of ()
((),t) `1 is set
(((),t) `1) `2 is set
((),(t `3_3),((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),t) .--> (((),t) `2_3) is Relation-like {((),t)} -defined the of () -valued Function-like one-to-one finite set
{((),t)} is non empty finite set
{((),t)} --> (((),t) `2_3) is non empty Relation-like {((),t)} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),t)},{(((),t) `2_3)}:]
{(((),t) `2_3)} is non empty finite set
[:{((),t)},{(((),t) `2_3)}:] is non empty finite set
bool [:{((),t)},{(((),t) `2_3)}:] is non empty finite V36() set
(t `3_3) +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,((),t),(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h +* (((),t) .--> (((),t) `2_3)) is Relation-like Function-like set
((),h,n,(((),t) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> (((),t) `2_3) is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} is non empty finite set
{n} --> (((),t) `2_3) is non empty Relation-like {n} -defined the of () -valued {(((),t) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{n},{(((),t) `2_3)}:]
[:{n},{(((),t) `2_3)}:] is non empty finite set
bool [:{n},{(((),t) `2_3)}:] is non empty finite V36() set
h +* (n .--> (((),t) `2_3)) is Relation-like Function-like set
s is Element of the of ()
((),h,n,s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
n .--> s is Relation-like NAT -defined {n} -defined the of () -valued Function-like one-to-one finite set
{n} --> s is non empty Relation-like {n} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{n},{s}:]
{s} is non empty finite set
[:{n},{s}:] is non empty finite set
bool [:{n},{s}:] is non empty finite V36() set
h +* (n .--> s) is Relation-like Function-like set
((),t) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),t) `1_3 is Element of the of ()
(((),t) `1) `1 is set
((),t) + ((),((),t)) is V24() V25() integer ext-real set
[(((),t) `1_3),(((),t) + ((),((),t))),h] is V1() V2() set
[(((),t) `1_3),(((),t) + ((),((),t)))] is V1() set
[[(((),t) `1_3),(((),t) + ((),((),t)))],h] is V1() set
[1,(((),t) + ((),((),t))),h] is V1() V2() set
[1,(((),t) + ((),((),t)))] is V1() set
[[1,(((),t) + ((),((),t)))],h] is V1() set
h . ((((n + (h1 /. 1)) + (h1 /. 2)) + (h1 /. 3)) + 6) is set
((),[pF,k,h]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
[:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:] is non empty set
((),[pF,k,h]) . ((h1 /. 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((),[pF,k,h]) . ((h1 /. 1) + 1)) `3_3 is Element of Funcs (INT, the of ())
(n + 1) + ((h1 /. 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((n + 1) + ((h1 /. 1) + 1)) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h1 /. 2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((h1 /. 2) + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((h1 /. 2) + 1) + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),t) . ((((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((n + (h1 /. 1)) + (h1 /. 2)) + 4) + (h1 /. 3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((((n + (h1 /. 1)) + (h1 /. 2)) + 4) + (h1 /. 3)) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
f is V24() V25() integer ext-real set
h . f is set
[pF,1] is V1() Element of [: the of (),NAT:]
[: the of (),NAT:] is non empty set
the of () . [pF,1] is set
[pF,0,1] is V1() V2() Element of [: the of (),NAT,NAT:]
[: the of (),NAT,NAT:] is non empty set
[pF,0] is V1() set
[[pF,0],1] is V1() set
the of () is Element of the of ()
f is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[pF,((n + 1) + ((h1 /. 1) + 1)),f] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[: the of (),NAT,(Funcs (INT, the of ())):] is non empty set
[pF,((n + 1) + ((h1 /. 1) + 1))] is V1() set
[[pF,((n + 1) + ((h1 /. 1) + 1))],f] is V1() set
h . ((n + (h1 /. 1)) + 2) is set
f . ((n + 1) + ((h1 /. 1) + 1)) is set
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is Element of [: the of (), the of (),{(- 1),0,1}:]
(((),[pF,k,h]) . ((h1 /. 1) + 1)) `1_3 is Element of the of ()
(((),[pF,k,h]) . ((h1 /. 1) + 1)) `1 is set
((((),[pF,k,h]) . ((h1 /. 1) + 1)) `1) `1 is set
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is V24() V25() integer ext-real set
(((),[pF,k,h]) . ((h1 /. 1) + 1)) `2_3 is V24() V25() integer ext-real Element of INT
((((),[pF,k,h]) . ((h1 /. 1) + 1)) `1) `2 is set
((((),[pF,k,h]) . ((h1 /. 1) + 1)) `3_3) . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is set
[((((),[pF,k,h]) . ((h1 /. 1) + 1)) `1_3),(((((),[pF,k,h]) . ((h1 /. 1) + 1)) `3_3) . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is V1() set
the of () . [((((),[pF,k,h]) . ((h1 /. 1) + 1)) `1_3),(((((),[pF,k,h]) . ((h1 /. 1) + 1)) `3_3) . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is set
s2m is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
s2m . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is set
[((((),[pF,k,h]) . ((h1 /. 1) + 1)) `1_3),(s2m . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is V1() set
() . [((((),[pF,k,h]) . ((h1 /. 1) + 1)) `1_3),(s2m . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is set
[pF,(s2m . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is V1() set
() . [pF,(s2m . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is set
f . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is set
[1,(f . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is V1() set
() . [1,(f . ((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))] is set
((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))) is V24() V25() integer ext-real set
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `3_3 is Element of {(- 1),0,1}
s3k is Element of the of ()
s2i is V24() V25() integer ext-real Element of INT
[s3k,s2i,f] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[s3k,s2i] is V1() set
[[s3k,s2i],f] is V1() set
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3 is Element of the of ()
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1 is set
(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1) `2 is set
((),((((),[pF,k,h]) . ((h1 /. 1) + 1)) `3_3),((),(((),[pF,k,h]) . ((h1 /. 1) + 1))),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) .--> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3) is Relation-like {((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))} -defined the of () -valued Function-like one-to-one finite set
{((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))} is non empty finite set
{((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))} --> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3) is non empty Relation-like {((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))} -defined the of () -valued {(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))},{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)}:]
{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)} is non empty finite set
[:{((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))},{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)}:] is non empty finite set
bool [:{((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))},{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)}:] is non empty finite V36() set
((((),[pF,k,h]) . ((h1 /. 1) + 1)) `3_3) +* (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) .--> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)) is Relation-like Function-like set
((),f,((),(((),[pF,k,h]) . ((h1 /. 1) + 1))),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
f +* (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) .--> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)) is Relation-like Function-like set
((),f,((n + 1) + ((h1 /. 1) + 1)),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((n + 1) + ((h1 /. 1) + 1)) .--> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3) is Relation-like NAT -defined {((n + 1) + ((h1 /. 1) + 1))} -defined the of () -valued Function-like one-to-one finite set
{((n + 1) + ((h1 /. 1) + 1))} is non empty finite set
{((n + 1) + ((h1 /. 1) + 1))} --> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3) is non empty Relation-like {((n + 1) + ((h1 /. 1) + 1))} -defined the of () -valued {(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((n + 1) + ((h1 /. 1) + 1))},{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)}:]
[:{((n + 1) + ((h1 /. 1) + 1))},{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)}:] is non empty finite set
bool [:{((n + 1) + ((h1 /. 1) + 1))},{(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)}:] is non empty finite V36() set
f +* (((n + 1) + ((h1 /. 1) + 1)) .--> (((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `2_3)) is Relation-like Function-like set
((),f,((n + 1) + ((h1 /. 1) + 1)),s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((n + 1) + ((h1 /. 1) + 1)) .--> s is Relation-like NAT -defined {((n + 1) + ((h1 /. 1) + 1))} -defined the of () -valued Function-like one-to-one finite set
{((n + 1) + ((h1 /. 1) + 1))} --> s is non empty Relation-like {((n + 1) + ((h1 /. 1) + 1))} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{((n + 1) + ((h1 /. 1) + 1))},{s}:]
[:{((n + 1) + ((h1 /. 1) + 1))},{s}:] is non empty finite set
bool [:{((n + 1) + ((h1 /. 1) + 1))},{s}:] is non empty finite V36() set
f +* (((n + 1) + ((h1 /. 1) + 1)) .--> s) is Relation-like Function-like set
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1_3 is Element of the of ()
(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1) `1 is set
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))) is V24() V25() integer ext-real set
[(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1_3),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))),f] is V1() V2() set
[(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1_3),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))))] is V1() set
[[(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) `1_3),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))))],f] is V1() set
[2,(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1))))),f] is V1() V2() set
[2,(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))))] is V1() set
[[2,(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) + ((),((),(((),[pF,k,h]) . ((h1 /. 1) + 1)))))],f] is V1() set
g is V24() V25() integer ext-real set
(((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
f . g is set
h . g is set
((),[s3k,s2i,f]) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),[s3k,s2i,f]) . ((h1 /. 2) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `3_3 is Element of Funcs (INT, the of ())
[s3k,1] is V1() Element of [: the of (),NAT:]
the of () . [s3k,1] is set
[s3k,0,1] is V1() V2() Element of [: the of (),NAT,NAT:]
[s3k,0] is V1() set
[[s3k,0],1] is V1() set
ss2 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[s3k,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)),ss2] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[s3k,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))] is V1() set
[[s3k,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))],ss2] is V1() set
(h1 /. 2) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(n + (h1 /. 1)) + ((h1 /. 2) + 4) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
y is V24() V25() integer ext-real set
ss2 . y is set
f . y is set
h . y is set
ss2 . ((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) is set
f . ((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) is set
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) is Element of [: the of (), the of (),{(- 1),0,1}:]
(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1_3 is Element of the of ()
(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1 is set
((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1) `1 is set
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) is V24() V25() integer ext-real set
(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `2_3 is V24() V25() integer ext-real Element of INT
((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1) `2 is set
((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `3_3) . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) is set
[((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1_3),(((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `3_3) . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is V1() set
the of () . [((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1_3),(((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `3_3) . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is set
h is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) is set
[((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1_3),(h . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is V1() set
() . [((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `1_3),(h . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is set
[s3k,(h . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is V1() set
() . [s3k,(h . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is set
ss2 . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) is set
[2,(ss2 . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is V1() set
() . [2,(ss2 . ((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))] is set
((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))) is V24() V25() integer ext-real set
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `3_3 is Element of {(- 1),0,1}
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3 is Element of the of ()
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1 is set
(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1) `2 is set
((),((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `3_3),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))),(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) .--> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3) is Relation-like {((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))} -defined the of () -valued Function-like one-to-one finite set
{((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))} is non empty finite set
{((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))} --> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3) is non empty Relation-like {((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))} -defined the of () -valued {(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))},{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)}:]
{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)} is non empty finite set
[:{((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))},{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)}:] is non empty finite set
bool [:{((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))},{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)}:] is non empty finite V36() set
((((),[s3k,s2i,f]) . ((h1 /. 2) + 1)) `3_3) +* (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) .--> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)) is Relation-like Function-like set
((),ss2,((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))),(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
ss2 +* (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) .--> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)) is Relation-like Function-like set
((),ss2,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)),(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) .--> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3) is Relation-like NAT -defined {((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} -defined the of () -valued Function-like one-to-one finite set
{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} is non empty finite set
{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} --> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3) is non empty Relation-like {((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} -defined the of () -valued {(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))},{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)}:]
[:{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))},{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)}:] is non empty finite set
bool [:{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))},{(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)}:] is non empty finite V36() set
ss2 +* (((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) .--> (((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `2_3)) is Relation-like Function-like set
((),ss2,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)),s) is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) .--> s is Relation-like NAT -defined {((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} -defined the of () -valued Function-like one-to-one finite set
{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} --> s is non empty Relation-like {((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))} -defined the of () -valued {s} -valued Function-like constant total quasi_total finite Element of bool [:{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))},{s}:]
[:{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))},{s}:] is non empty finite set
bool [:{((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))},{s}:] is non empty finite V36() set
ss2 +* (((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) .--> s) is Relation-like Function-like set
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1_3 is Element of the of ()
(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1) `1 is set
((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))) is V24() V25() integer ext-real set
[(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1_3),(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))),ss2] is V1() V2() set
[(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1_3),(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))))] is V1() set
[[(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) `1_3),(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))))],ss2] is V1() set
[3,(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))))),ss2] is V1() V2() set
[3,(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))))] is V1() set
[[3,(((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1))) + ((),((),(((),[s3k,s2i,f]) . ((h1 /. 2) + 1)))))],ss2] is V1() set
((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) + 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[3,(((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) + 0),ss2] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[3,(((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) + 0)] is V1() set
[[3,(((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)) + 0)],ss2] is V1() set
((),t) . 1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),t) . 1)) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),(((),t) . 1)) . (((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[pF,k,h]) . (((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) . ((((h1 /. 2) + 1) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) . 1 is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) . 1)) is Relation-like NAT -defined [: the of (),INT,(Funcs (INT, the of ())):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (),INT,(Funcs (INT, the of ())):]:]
((),(((),(((),[pF,k,h]) . ((h1 /. 1) + 1))) . 1)) . (((h1 /. 2) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[s3k,s2i,f]) . (((h1 /. 2) + 1) + 1) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
[3,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1)),ss2] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[3,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))] is V1() set
[[3,((((n + 1) + ((h1 /. 1) + 1)) + 1) + ((h1 /. 2) + 1))],ss2] is V1() set
(((),t) . ((((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) + 1)) `1_3 is Element of the of ()
(((),t) . ((((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) + 1)) `1 is set
((((),t) . ((((((h1 /. 2) + 1) + 1) + 1) + ((h1 /. 1) + 1)) + 1)) `1) `1 is set
(h1 /. 3) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(((n + (h1 /. 1)) + (h1 /. 2)) + 4) + ((h1 /. 3) + 2) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
ss2 . (((((n + (h1 /. 1)) + (h1 /. 2)) + 4) + (h1 /. 3)) + 2) is set
f . (((((n + (h1 /. 1)) + (h1 /. 2)) + 4) + (h1 /. 3)) + 2) is set
s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s proj 3 is non empty Relation-like NAT * -defined Function-like V53() homogeneous V147() set
s |-> NAT is Relation-like NAT -defined bool REAL -valued Function-like finite FinSequence-like FinSubsequence-like Element of s -tuples_on (bool REAL)
s -tuples_on (bool REAL) is FinSequenceSet of bool REAL
K408((s |-> NAT),3) is Relation-like Function-like set
s1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
proj1 (s proj 3) is set
h is Element of [: the of (),INT,(Funcs (INT, the of ())):]
the of () is Element of the of ()
h1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
n is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[ the of (),h1,n] is V1() V2() Element of [: the of (),NAT,(Funcs (INT, the of ())):]
[: the of (),NAT,(Funcs (INT, the of ())):] is non empty set
[ the of (),h1] is V1() set
[[ the of (),h1],n] is V1() set
<*h1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
[1,h1] is V1() set
{[1,h1]} is non empty finite set
<*h1*> ^ s1 is non empty Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
arity (s proj 3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s -tuples_on NAT is FinSequenceSet of NAT
{ b<sub>1</sub> where b<sub>1</sub> is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT * : len b<sub>1</sub> = s } is set
[0,h1,n] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,h1] is V1() set
[[0,h1],n] is V1() set
t2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 /. 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 + (s1 /. 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 /. 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(h1 + (s1 /. 1)) + (s1 /. 2) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((h1 + (s1 /. 1)) + (s1 /. 2)) + 4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 /. 3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),h) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),h) `2_3 is V24() V25() integer ext-real Element of INT
((),h) `1 is set
(((),h) `1) `2 is set
t2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
s1 . 3 is set
(s proj 3) . s1 is set
q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*t2,s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*t2*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,t2] is V1() set
{[1,t2]} is non empty finite set
<*s2*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,s2] is V1() set
{[1,s2]} is non empty finite set
<*t2*> ^ <*s2*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),h) `3_3 is Element of Funcs (INT, the of ())
q0 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like Element of NAT *
len q0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*t2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
<*t2*> ^ <*s2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like FinSequence of NAT
s is ()
the of s is non empty finite set
t is ()
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
s is ()
the of s is non empty finite set
t is ()
the of t is non empty finite set
the of s is Element of the of s
the of t is Element of the of t
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
(s,t) is non empty finite set
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of t is Element of the of t
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
q0 is Element of { the of t}
[ the of s,q0] is V1() Element of [: the of s,{ the of t}:]
pF is Element of { the of s}
[pF, the of t] is V1() Element of [:{ the of s}, the of t:]
s is ()
the of s is non empty finite set
t is ()
the of t is non empty finite set
the of t is Element of the of t
(s,t) is non empty finite set
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
h is Element of the of s
[h, the of t] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
s1 is Element of { the of t}
[h,s1] is V1() Element of [: the of s,{ the of t}:]
t is ()
the of t is non empty finite set
s is ()
the of s is non empty finite set
the of s is Element of the of s
(s,t) is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
h is Element of the of t
[ the of s,h] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
s1 is Element of { the of s}
[s1,h] is V1() Element of [:{ the of s}, the of t:]
s is ()
t is ()
(s,t) is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
h is Element of (s,t)
s2 is Element of the of s
q0 is Element of { the of t}
[s2,q0] is V1() Element of [: the of s,{ the of t}:]
[s2, the of t] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
s2 is Element of { the of s}
q0 is Element of the of t
[s2,q0] is V1() Element of [:{ the of s}, the of t:]
[ the of s,q0] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
s is ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
t is ()
the of t is non empty finite set
[: the of s, the of t:] is non empty finite set
h is Element of [: the of s, the of s,{(- 1),0,1}:]
h `1_3 is Element of the of s
h `1 is set
(h `1) `1 is set
the of t is Element of the of t
[(h `1_3), the of t] is V1() Element of [: the of s, the of t:]
h `2_3 is Element of the of s
(h `1) `2 is set
h `3_3 is Element of {(- 1),0,1}
[[(h `1_3), the of t],(h `2_3),(h `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of s,{(- 1),0,1}:]
[:[: the of s, the of t:], the of s,{(- 1),0,1}:] is non empty finite set
[[(h `1_3), the of t],(h `2_3)] is V1() set
[[[(h `1_3), the of t],(h `2_3)],(h `3_3)] is V1() set
(s,t) is non empty finite set
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of t is non empty finite set
the of s \/ the of t is non empty finite set
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
n is Element of (s,t)
s1 is Element of the of s \/ the of t
[n,s1,(h `3_3)] is V1() V2() Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
[n,s1] is V1() set
[[n,s1],(h `3_3)] is V1() set
t is ()
the of t is non empty finite set
the of t is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
s is ()
the of s is non empty finite set
[: the of s, the of t:] is non empty finite set
the of s is Element of the of s
h is Element of [: the of t, the of t,{(- 1),0,1}:]
h `1_3 is Element of the of t
h `1 is set
(h `1) `1 is set
[ the of s,(h `1_3)] is V1() Element of [: the of s, the of t:]
h `2_3 is Element of the of t
(h `1) `2 is set
h `3_3 is Element of {(- 1),0,1}
[[ the of s,(h `1_3)],(h `2_3),(h `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of t,{(- 1),0,1}:]
[:[: the of s, the of t:], the of t,{(- 1),0,1}:] is non empty finite set
[[ the of s,(h `1_3)],(h `2_3)] is V1() set
[[[ the of s,(h `1_3)],(h `2_3)],(h `3_3)] is V1() set
(s,t) is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of s is non empty finite set
the of s \/ the of t is non empty finite set
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
n is Element of (s,t)
s1 is Element of the of s \/ the of t
[n,s1,(h `3_3)] is V1() V2() Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
[n,s1] is V1() set
[[n,s1],(h `3_3)] is V1() set
s is ()
t is ()
(s,t) is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
h is Element of (s,t)
h `1 is set
n is Element of the of s
h1 is Element of the of t
[n,h1] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
[n,h1] `1 is Element of the of s
h `2 is set
n is Element of the of s
h1 is Element of the of t
[n,h1] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
[n,h1] `2 is Element of the of t
s is ()
t is ()
(s,t) is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of s \/ the of t is non empty finite set
[:(s,t),( the of s \/ the of t):] is non empty finite set
h is Element of [:(s,t),( the of s \/ the of t):]
h `1 is Element of (s,t)
(s,t,(h `1)) is Element of the of s
(s,t,(h `1)) is Element of the of t
s is non empty set
t is non empty set
h is non empty set
t \/ h is non empty set
[:s,(t \/ h):] is non empty set
n is Element of [:s,(t \/ h):]
h1 is set
s1 is Element of t
[h1,s1] is V1() set
[h1,s1] `2 is set
n `2 is Element of t \/ h
s is non empty set
t is non empty set
h is non empty set
t \/ h is non empty set
[:s,(t \/ h):] is non empty set
n is Element of [:s,(t \/ h):]
h1 is set
s1 is Element of h
[h1,s1] is V1() set
[h1,s1] `2 is set
n `2 is Element of t \/ h
s is ()
t is ()
(s,t) is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of s \/ the of t is non empty finite set
[:(s,t),( the of s \/ the of t):] is non empty finite set
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
h is Element of [:(s,t),( the of s \/ the of t):]
[: the of s, the of t:] is non empty finite set
[: the of s, the of s:] is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
(s,t,h) is Element of the of s
h `1 is Element of (s,t)
(s,t,(h `1)) is Element of the of s
((s,t), the of s, the of t,h) is Element of the of s
[(s,t,h),((s,t), the of s, the of t,h)] is V1() Element of [: the of s, the of s:]
the of s . [(s,t,h),((s,t), the of s, the of t,h)] is Element of [: the of s, the of s,{(- 1),0,1}:]
(s,t,( the of s . [(s,t,h),((s,t), the of s, the of t,h)])) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3 is Element of the of s
( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1 is set
(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1) `1 is set
[(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3), the of t] is V1() Element of [: the of s, the of t:]
( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3 is Element of the of s
(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1) `2 is set
( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `3_3 is Element of {(- 1),0,1}
[[(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3), the of t],(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3),(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of s,{(- 1),0,1}:]
[:[: the of s, the of t:], the of s,{(- 1),0,1}:] is non empty finite set
[[(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3), the of t],(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3)] is V1() set
[[[(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3), the of t],(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3)],(( the of s . [(s,t,h),((s,t), the of s, the of t,h)]) `3_3)] is V1() set
[: the of t, the of t:] is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
(s,t,h) is Element of the of t
(s,t,(h `1)) is Element of the of t
((s,t), the of s, the of t,h) is Element of the of t
[(s,t,h),((s,t), the of s, the of t,h)] is V1() Element of [: the of t, the of t:]
the of t . [(s,t,h),((s,t), the of s, the of t,h)] is Element of [: the of t, the of t,{(- 1),0,1}:]
(s,t,( the of t . [(s,t,h),((s,t), the of s, the of t,h)])) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3 is Element of the of t
( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1 is set
(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1) `1 is set
[ the of s,(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3)] is V1() Element of [: the of s, the of t:]
( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3 is Element of the of t
(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1) `2 is set
( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `3_3 is Element of {(- 1),0,1}
[[ the of s,(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3)],(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3),(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of t,{(- 1),0,1}:]
[:[: the of s, the of t:], the of t,{(- 1),0,1}:] is non empty finite set
[[ the of s,(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3)],(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3)] is V1() set
[[[ the of s,(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `1_3)],(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `2_3)],(( the of t . [(s,t,h),((s,t), the of s, the of t,h)]) `3_3)] is V1() set
n is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
h1 is Element of the of s
[h1, the of t] is V1() Element of [: the of s, the of t:]
s1 is Element of the of s
[[h1, the of t],s1] is V1() Element of [:[: the of s, the of t:], the of s:]
[:[: the of s, the of t:], the of s:] is non empty finite set
t2 is Element of the of t
[ the of s,t2] is V1() Element of [: the of s, the of t:]
s2 is Element of the of t
[[ the of s,t2],s2] is V1() Element of [:[: the of s, the of t:], the of t:]
[:[: the of s, the of t:], the of t:] is non empty finite set
h `2 is Element of the of s \/ the of t
[(h `1),(h `2),(- 1)] is V1() V2() Element of [:(s,t),( the of s \/ the of t),REAL:]
[:(s,t),( the of s \/ the of t),REAL:] is non empty set
[(h `1),(h `2)] is V1() set
[[(h `1),(h `2)],(- 1)] is V1() set
n is Element of {(- 1),0,1}
[(h `1),(h `2),n] is V1() V2() Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
[[(h `1),(h `2)],n] is V1() set
h1 is Element of the of s
[h1, the of t] is V1() Element of [: the of s, the of t:]
s1 is Element of the of s
[[h1, the of t],s1] is V1() Element of [:[: the of s, the of t:], the of s:]
[:[: the of s, the of t:], the of s:] is non empty finite set
t2 is Element of the of t
[ the of s,t2] is V1() Element of [: the of s, the of t:]
s2 is Element of the of t
[[ the of s,t2],s2] is V1() Element of [:[: the of s, the of t:], the of t:]
[:[: the of s, the of t:], the of t:] is non empty finite set
s is ()
t is ()
(s,t) is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of s \/ the of t is non empty finite set
[:(s,t),( the of s \/ the of t):] is non empty finite set
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
[:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite set
bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite V36() set
h1 is Relation-like [:(s,t),( the of s \/ the of t):] -defined [:(s,t),( the of s \/ the of t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:]
s1 is Element of [:(s,t),( the of s \/ the of t):]
h1 . s1 is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
(s,t,s1) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
h1 is Relation-like [:(s,t),( the of s \/ the of t):] -defined [:(s,t),( the of s \/ the of t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:]
s1 is Relation-like [:(s,t),( the of s \/ the of t):] -defined [:(s,t),( the of s \/ the of t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:]
t2 is Element of [:(s,t),( the of s \/ the of t):]
h1 . t2 is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
(s,t,t2) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
s1 . t2 is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
s is ()
the of s is non empty finite set
t is ()
the of t is non empty finite set
the of s \/ the of t is non empty finite set
(s,t) is non empty finite set
the of s is non empty finite set
the of t is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
the of s is Element of the of s
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
[:(s,t),( the of s \/ the of t):] is non empty finite set
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
(s,t) is Relation-like [:(s,t),( the of s \/ the of t):] -defined [:(s,t),( the of s \/ the of t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:]
[:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite set
bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite V36() set
the of s is Element of the of s
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
the of t is Element of the of t
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
h1 is Element of (s,t)
n is Element of (s,t)
(( the of s \/ the of t),(s,t),(s,t),h1,n) is () ()
the of (( the of s \/ the of t),(s,t),(s,t),h1,n) is non empty finite set
the of (( the of s \/ the of t),(s,t),(s,t),h1,n) is non empty finite set
[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n):] is non empty finite set
[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n),{(- 1),0,1}:] is non empty finite set
the of (( the of s \/ the of t),(s,t),(s,t),h1,n) is Relation-like [: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n):] -defined [: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n):],[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n),{(- 1),0,1}:]:]
[:[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n):],[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n):],[: the of (( the of s \/ the of t),(s,t),(s,t),h1,n), the of (( the of s \/ the of t),(s,t),(s,t),h1,n),{(- 1),0,1}:]:] is non empty finite V36() set
the of (( the of s \/ the of t),(s,t),(s,t),h1,n) is Element of the of (( the of s \/ the of t),(s,t),(s,t),h1,n)
the of (( the of s \/ the of t),(s,t),(s,t),h1,n) is Element of the of (( the of s \/ the of t),(s,t),(s,t),h1,n)
h is () ()
the of h is non empty finite set
the of h is non empty finite set
[: the of h, the of h:] is non empty finite set
[: the of h, the of h,{(- 1),0,1}:] is non empty finite set
the of h is Relation-like [: the of h, the of h:] -defined [: the of h, the of h,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of h, the of h:],[: the of h, the of h,{(- 1),0,1}:]:]
[:[: the of h, the of h:],[: the of h, the of h,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of h, the of h:],[: the of h, the of h,{(- 1),0,1}:]:] is non empty finite V36() set
the of h is Element of the of h
the of h is Element of the of h
n is () ()
the of n is non empty finite set
the of n is non empty finite set
[: the of n, the of n:] is non empty finite set
[: the of n, the of n,{(- 1),0,1}:] is non empty finite set
the of n is Relation-like [: the of n, the of n:] -defined [: the of n, the of n,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of n, the of n:],[: the of n, the of n,{(- 1),0,1}:]:]
[:[: the of n, the of n:],[: the of n, the of n,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of n, the of n:],[: the of n, the of n,{(- 1),0,1}:]:] is non empty finite V36() set
the of n is Element of the of n
the of n is Element of the of n
s is ()
the of s is non empty finite set
the of s is non empty finite set
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Element of the of s
[: the of s, the of s:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
t is ()
(s,t) is () ()
the of (s,t) is Relation-like [: the of (s,t), the of (s,t):] -defined [: the of (s,t), the of (s,t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:]
the of (s,t) is non empty finite set
the of (s,t) is non empty finite set
[: the of (s,t), the of (s,t):] is non empty finite set
[: the of (s,t), the of (s,t),{(- 1),0,1}:] is non empty finite set
[:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite V36() set
the of t is non empty finite set
[: the of s, the of t:] is non empty finite set
the of t is Element of the of t
h is Element of [: the of s, the of s,{(- 1),0,1}:]
h `1_3 is Element of the of s
h `1 is set
(h `1) `1 is set
[(h `1_3), the of t] is V1() Element of [: the of s, the of t:]
h `2_3 is Element of the of s
(h `1) `2 is set
h `3_3 is Element of {(- 1),0,1}
[[(h `1_3), the of t],(h `2_3),(h `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of s,{(- 1),0,1}:]
[:[: the of s, the of t:], the of s,{(- 1),0,1}:] is non empty finite set
[[(h `1_3), the of t],(h `2_3)] is V1() set
[[[(h `1_3), the of t],(h `2_3)],(h `3_3)] is V1() set
n is Element of the of s
[n, the of t] is V1() Element of [: the of s, the of t:]
h1 is Element of the of s
[n,h1] is V1() Element of [: the of s, the of s:]
the of s . [n,h1] is Element of [: the of s, the of s,{(- 1),0,1}:]
[[n, the of t],h1] is V1() Element of [:[: the of s, the of t:], the of s:]
[:[: the of s, the of t:], the of s:] is non empty finite set
the of (s,t) . [[n, the of t],h1] is set
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of t is non empty finite set
the of s \/ the of t is non empty finite set
(s,t) is non empty finite set
[:(s,t),( the of s \/ the of t):] is non empty finite set
s2 is Element of [:(s,t),( the of s \/ the of t):]
(s,t,s2) is Element of the of s
s2 `1 is Element of (s,t)
(s,t,(s2 `1)) is Element of the of s
[[n, the of t],h1] `1 is Element of [: the of s, the of t:]
([[n, the of t],h1] `1) `1 is Element of the of s
[n, the of t] `1 is Element of the of s
((s,t), the of s, the of t,s2) is Element of the of s
[[n, the of t],h1] `2 is Element of the of s
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
(s,t) is Relation-like [:(s,t),( the of s \/ the of t):] -defined [:(s,t),( the of s \/ the of t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:]
[:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite set
bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite V36() set
(s,t) . s2 is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
(s,t,s2) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
(s,t,( the of s . [n,h1])) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
( the of s . [n,h1]) `1_3 is Element of the of s
( the of s . [n,h1]) `1 is set
(( the of s . [n,h1]) `1) `1 is set
[(( the of s . [n,h1]) `1_3), the of t] is V1() Element of [: the of s, the of t:]
( the of s . [n,h1]) `2_3 is Element of the of s
(( the of s . [n,h1]) `1) `2 is set
( the of s . [n,h1]) `3_3 is Element of {(- 1),0,1}
[[(( the of s . [n,h1]) `1_3), the of t],(( the of s . [n,h1]) `2_3),(( the of s . [n,h1]) `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of s,{(- 1),0,1}:]
[[(( the of s . [n,h1]) `1_3), the of t],(( the of s . [n,h1]) `2_3)] is V1() set
[[[(( the of s . [n,h1]) `1_3), the of t],(( the of s . [n,h1]) `2_3)],(( the of s . [n,h1]) `3_3)] is V1() set
t is ()
the of t is non empty finite set
the of t is non empty finite set
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
[: the of t, the of t:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
s is ()
(s,t) is () ()
the of (s,t) is Relation-like [: the of (s,t), the of (s,t):] -defined [: the of (s,t), the of (s,t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:]
the of (s,t) is non empty finite set
the of (s,t) is non empty finite set
[: the of (s,t), the of (s,t):] is non empty finite set
[: the of (s,t), the of (s,t),{(- 1),0,1}:] is non empty finite set
[:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite V36() set
the of s is non empty finite set
[: the of s, the of t:] is non empty finite set
the of s is Element of the of s
h is Element of [: the of t, the of t,{(- 1),0,1}:]
h `1_3 is Element of the of t
h `1 is set
(h `1) `1 is set
[ the of s,(h `1_3)] is V1() Element of [: the of s, the of t:]
h `2_3 is Element of the of t
(h `1) `2 is set
h `3_3 is Element of {(- 1),0,1}
[[ the of s,(h `1_3)],(h `2_3),(h `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of t,{(- 1),0,1}:]
[:[: the of s, the of t:], the of t,{(- 1),0,1}:] is non empty finite set
[[ the of s,(h `1_3)],(h `2_3)] is V1() set
[[[ the of s,(h `1_3)],(h `2_3)],(h `3_3)] is V1() set
n is Element of the of t
[ the of s,n] is V1() Element of [: the of s, the of t:]
h1 is Element of the of t
[n,h1] is V1() Element of [: the of t, the of t:]
the of t . [n,h1] is Element of [: the of t, the of t,{(- 1),0,1}:]
[[ the of s,n],h1] is V1() Element of [:[: the of s, the of t:], the of t:]
[:[: the of s, the of t:], the of t:] is non empty finite set
the of (s,t) . [[ the of s,n],h1] is set
{ the of s} is non empty finite Element of bool the of s
bool the of s is non empty finite V36() set
[:{ the of s}, the of t:] is non empty finite set
the of t is Element of the of t
{ the of t} is non empty finite Element of bool the of t
bool the of t is non empty finite V36() set
[: the of s,{ the of t}:] is non empty finite set
[: the of s,{ the of t}:] \/ [:{ the of s}, the of t:] is non empty finite set
the of s is non empty finite set
the of s \/ the of t is non empty finite set
(s,t) is non empty finite set
[:(s,t),( the of s \/ the of t):] is non empty finite set
s2 is Element of [:(s,t),( the of s \/ the of t):]
(s,t,s2) is Element of the of t
s2 `1 is Element of (s,t)
(s,t,(s2 `1)) is Element of the of t
[[ the of s,n],h1] `1 is Element of [: the of s, the of t:]
([[ the of s,n],h1] `1) `2 is Element of the of t
((s,t), the of s, the of t,s2) is Element of the of t
[[ the of s,n],h1] `2 is Element of the of t
[:(s,t),( the of s \/ the of t),{(- 1),0,1}:] is non empty finite set
(s,t) is Relation-like [:(s,t),( the of s \/ the of t):] -defined [:(s,t),( the of s \/ the of t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:]
[:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite set
bool [:[:(s,t),( the of s \/ the of t):],[:(s,t),( the of s \/ the of t),{(- 1),0,1}:]:] is non empty finite V36() set
(s,t) . s2 is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
(s,t,s2) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
(s,t,( the of t . [n,h1])) is Element of [:(s,t),( the of s \/ the of t),{(- 1),0,1}:]
( the of t . [n,h1]) `1_3 is Element of the of t
( the of t . [n,h1]) `1 is set
(( the of t . [n,h1]) `1) `1 is set
[ the of s,(( the of t . [n,h1]) `1_3)] is V1() Element of [: the of s, the of t:]
( the of t . [n,h1]) `2_3 is Element of the of t
(( the of t . [n,h1]) `1) `2 is set
( the of t . [n,h1]) `3_3 is Element of {(- 1),0,1}
[[ the of s,(( the of t . [n,h1]) `1_3)],(( the of t . [n,h1]) `2_3),(( the of t . [n,h1]) `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of t,{(- 1),0,1}:]
[[ the of s,(( the of t . [n,h1]) `1_3)],(( the of t . [n,h1]) `2_3)] is V1() set
[[[ the of s,(( the of t . [n,h1]) `1_3)],(( the of t . [n,h1]) `2_3)],(( the of t . [n,h1]) `3_3)] is V1() set
s is ()
the of s is non empty finite set
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
[: the of s,INT,(Funcs (INT, the of s)):] is non empty set
t is ()
the of t is non empty finite set
the of t is non empty finite set
Funcs (INT, the of t) is non empty FUNCTION_DOMAIN of INT , the of t
[: the of t,INT,(Funcs (INT, the of t)):] is non empty set
(s,t) is () ()
the of (s,t) is non empty finite set
the of (s,t) is non empty finite set
Funcs (INT, the of (s,t)) is non empty FUNCTION_DOMAIN of INT , the of (s,t)
[: the of (s,t),INT,(Funcs (INT, the of (s,t))):] is non empty set
the of s is Element of the of s
the of t is Element of the of t
the of (s,t) is Element of the of (s,t)
h is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,h) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,h) `2_3 is V24() V25() integer ext-real Element of INT
(s,h) `1 is set
((s,h) `1) `2 is set
(s,h) `3_3 is Element of Funcs (INT, the of s)
[ the of t,((s,h) `2_3),((s,h) `3_3)] is V1() V2() Element of [: the of t,INT,(Funcs (INT, the of s)):]
[: the of t,INT,(Funcs (INT, the of s)):] is non empty set
[ the of t,((s,h) `2_3)] is V1() set
[[ the of t,((s,h) `2_3)],((s,h) `3_3)] is V1() set
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
h1 is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
[ the of s,n,h1] is V1() V2() Element of [: the of s,NAT,(Funcs (INT, the of s)):]
[: the of s,NAT,(Funcs (INT, the of s)):] is non empty set
[ the of s,n] is V1() set
[[ the of s,n],h1] is V1() set
[ the of (s,t),n,h1] is V1() V2() Element of [: the of (s,t),NAT,(Funcs (INT, the of s)):]
[: the of (s,t),NAT,(Funcs (INT, the of s)):] is non empty set
[ the of (s,t),n] is V1() set
[[ the of (s,t),n],h1] is V1() set
s1 is Element of [: the of t,INT,(Funcs (INT, the of t)):]
(t,s1) is Element of [: the of t,INT,(Funcs (INT, the of t)):]
(t,s1) `2_3 is V24() V25() integer ext-real Element of INT
(t,s1) `1 is set
((t,s1) `1) `2 is set
(t,s1) `3_3 is Element of Funcs (INT, the of t)
t2 is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
((s,t),t2) is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
((s,t),t2) `2_3 is V24() V25() integer ext-real Element of INT
((s,t),t2) `1 is set
(((s,t),t2) `1) `2 is set
((s,t),t2) `3_3 is Element of Funcs (INT, the of (s,t))
the of s is Element of the of s
the of t is Element of the of t
(s,h) is Relation-like NAT -defined [: the of s,INT,(Funcs (INT, the of s)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:]
[:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
bool [:NAT,[: the of s,INT,(Funcs (INT, the of s)):]:] is non empty set
k is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,h) . k is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,h) . k) `1_3 is Element of the of s
((s,h) . k) `1 is set
(((s,h) . k) `1) `1 is set
((s,t),t2) is Relation-like NAT -defined [: the of (s,t),INT,(Funcs (INT, the of (s,t))):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (s,t),INT,(Funcs (INT, the of (s,t))):]:]
[:NAT,[: the of (s,t),INT,(Funcs (INT, the of (s,t))):]:] is non empty set
bool [:NAT,[: the of (s,t),INT,(Funcs (INT, the of (s,t))):]:] is non empty set
s1k is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,h) . s1k is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,h) . s1k) `1_3 is Element of the of s
((s,h) . s1k) `1 is set
(((s,h) . s1k) `1) `1 is set
[(((s,h) . s1k) `1_3), the of t] is V1() Element of [: the of s, the of t:]
[: the of s, the of t:] is non empty finite set
((s,t),t2) . s1k is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
(((s,t),t2) . s1k) `1_3 is Element of the of (s,t)
(((s,t),t2) . s1k) `1 is set
((((s,t),t2) . s1k) `1) `1 is set
((s,h) . s1k) `2_3 is V24() V25() integer ext-real Element of INT
(((s,h) . s1k) `1) `2 is set
(((s,t),t2) . s1k) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),t2) . s1k) `1) `2 is set
((s,h) . s1k) `3_3 is Element of Funcs (INT, the of s)
(((s,t),t2) . s1k) `3_3 is Element of Funcs (INT, the of (s,t))
s1k + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s,h) . (s1k + 1) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,h) . (s1k + 1)) `1_3 is Element of the of s
((s,h) . (s1k + 1)) `1 is set
(((s,h) . (s1k + 1)) `1) `1 is set
[(((s,h) . (s1k + 1)) `1_3), the of t] is V1() Element of [: the of s, the of t:]
((s,t),t2) . (s1k + 1) is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
(((s,t),t2) . (s1k + 1)) `1_3 is Element of the of (s,t)
(((s,t),t2) . (s1k + 1)) `1 is set
((((s,t),t2) . (s1k + 1)) `1) `1 is set
((s,h) . (s1k + 1)) `2_3 is V24() V25() integer ext-real Element of INT
(((s,h) . (s1k + 1)) `1) `2 is set
(((s,t),t2) . (s1k + 1)) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),t2) . (s1k + 1)) `1) `2 is set
((s,h) . (s1k + 1)) `3_3 is Element of Funcs (INT, the of s)
(((s,t),t2) . (s1k + 1)) `3_3 is Element of Funcs (INT, the of (s,t))
((s,t),(((s,t),t2) . s1k)) is Element of [: the of (s,t), the of (s,t),{(- 1),0,1}:]
[: the of (s,t), the of (s,t),{(- 1),0,1}:] is non empty finite set
the of (s,t) is Relation-like [: the of (s,t), the of (s,t):] -defined [: the of (s,t), the of (s,t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:]
[: the of (s,t), the of (s,t):] is non empty finite set
[:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite V36() set
((s,t),(((s,t),t2) . s1k)) is V24() V25() integer ext-real set
((((s,t),t2) . s1k) `3_3) . ((s,t),(((s,t),t2) . s1k)) is set
[((((s,t),t2) . s1k) `1_3),(((((s,t),t2) . s1k) `3_3) . ((s,t),(((s,t),t2) . s1k)))] is V1() set
the of (s,t) . [((((s,t),t2) . s1k) `1_3),(((((s,t),t2) . s1k) `3_3) . ((s,t),(((s,t),t2) . s1k)))] is set
(s,((s,h) . s1k)) is V24() V25() integer ext-real set
ski is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
ski1 is V24() V25() integer ext-real Element of INT
ski . ski1 is Element of the of s
(s,((s,h) . s1k)) is Element of [: the of s, the of s,{(- 1),0,1}:]
[: the of s, the of s,{(- 1),0,1}:] is non empty finite set
the of s is Relation-like [: the of s, the of s:] -defined [: the of s, the of s,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:]
[: the of s, the of s:] is non empty finite set
[:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of s, the of s:],[: the of s, the of s,{(- 1),0,1}:]:] is non empty finite V36() set
(((s,h) . s1k) `3_3) . (s,((s,h) . s1k)) is set
[(((s,h) . s1k) `1_3),((((s,h) . s1k) `3_3) . (s,((s,h) . s1k)))] is V1() set
the of s . [(((s,h) . s1k) `1_3),((((s,h) . s1k) `3_3) . (s,((s,h) . s1k)))] is set
the of (s,t) is Element of the of (s,t)
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
ssk is Element of the of s
[[(((s,h) . s1k) `1_3), the of t],ssk] is V1() Element of [:[: the of s, the of t:], the of s:]
[:[: the of s, the of t:], the of s:] is non empty finite set
the of (s,t) . [[(((s,h) . s1k) `1_3), the of t],ssk] is set
(s,((s,h) . s1k)) `1_3 is Element of the of s
(s,((s,h) . s1k)) `1 is set
((s,((s,h) . s1k)) `1) `1 is set
[((s,((s,h) . s1k)) `1_3), the of t] is V1() Element of [: the of s, the of t:]
(s,((s,h) . s1k)) `2_3 is Element of the of s
((s,((s,h) . s1k)) `1) `2 is set
(s,((s,h) . s1k)) `3_3 is Element of {(- 1),0,1}
[[((s,((s,h) . s1k)) `1_3), the of t],((s,((s,h) . s1k)) `2_3),((s,((s,h) . s1k)) `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of s,{(- 1),0,1}:]
[:[: the of s, the of t:], the of s,{(- 1),0,1}:] is non empty finite set
[[((s,((s,h) . s1k)) `1_3), the of t],((s,((s,h) . s1k)) `2_3)] is V1() set
[[[((s,((s,h) . s1k)) `1_3), the of t],((s,((s,h) . s1k)) `2_3)],((s,((s,h) . s1k)) `3_3)] is V1() set
((s,t),(((s,t),t2) . s1k)) `2_3 is Element of the of (s,t)
((s,t),(((s,t),t2) . s1k)) `1 is set
(((s,t),(((s,t),t2) . s1k)) `1) `2 is set
((s,t),(((s,t),t2) . s1k)) is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
((s,t),(((s,t),t2) . s1k)) `1_3 is Element of the of (s,t)
(((s,t),(((s,t),t2) . s1k)) `1) `1 is set
((s,t),((s,t),(((s,t),t2) . s1k))) is V24() V25() integer ext-real set
((s,t),(((s,t),t2) . s1k)) `3_3 is Element of {(- 1),0,1}
((s,t),(((s,t),t2) . s1k)) + ((s,t),((s,t),(((s,t),t2) . s1k))) is V24() V25() integer ext-real set
f is Relation-like INT -defined the of (s,t) -valued Function-like quasi_total Element of Funcs (INT, the of (s,t))
((s,t),f,((s,t),(((s,t),t2) . s1k)),(((s,t),(((s,t),t2) . s1k)) `2_3)) is Relation-like INT -defined the of (s,t) -valued Function-like quasi_total Element of Funcs (INT, the of (s,t))
((s,t),(((s,t),t2) . s1k)) .--> (((s,t),(((s,t),t2) . s1k)) `2_3) is Relation-like {((s,t),(((s,t),t2) . s1k))} -defined the of (s,t) -valued Function-like one-to-one finite set
{((s,t),(((s,t),t2) . s1k))} is non empty finite set
{((s,t),(((s,t),t2) . s1k))} --> (((s,t),(((s,t),t2) . s1k)) `2_3) is non empty Relation-like {((s,t),(((s,t),t2) . s1k))} -defined the of (s,t) -valued {(((s,t),(((s,t),t2) . s1k)) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((s,t),(((s,t),t2) . s1k))},{(((s,t),(((s,t),t2) . s1k)) `2_3)}:]
{(((s,t),(((s,t),t2) . s1k)) `2_3)} is non empty finite set
[:{((s,t),(((s,t),t2) . s1k))},{(((s,t),(((s,t),t2) . s1k)) `2_3)}:] is non empty finite set
bool [:{((s,t),(((s,t),t2) . s1k))},{(((s,t),(((s,t),t2) . s1k)) `2_3)}:] is non empty finite V36() set
f +* (((s,t),(((s,t),t2) . s1k)) .--> (((s,t),(((s,t),t2) . s1k)) `2_3)) is Relation-like Function-like set
[(((s,t),(((s,t),t2) . s1k)) `1_3),(((s,t),(((s,t),t2) . s1k)) + ((s,t),((s,t),(((s,t),t2) . s1k)))),((s,t),f,((s,t),(((s,t),t2) . s1k)),(((s,t),(((s,t),t2) . s1k)) `2_3))] is V1() V2() set
[(((s,t),(((s,t),t2) . s1k)) `1_3),(((s,t),(((s,t),t2) . s1k)) + ((s,t),((s,t),(((s,t),t2) . s1k))))] is V1() set
[[(((s,t),(((s,t),t2) . s1k)) `1_3),(((s,t),(((s,t),t2) . s1k)) + ((s,t),((s,t),(((s,t),t2) . s1k))))],((s,t),f,((s,t),(((s,t),t2) . s1k)),(((s,t),(((s,t),t2) . s1k)) `2_3))] is V1() set
(s,((s,h) . s1k)) is Element of [: the of s,INT,(Funcs (INT, the of s)):]
(s,(s,((s,h) . s1k))) is V24() V25() integer ext-real set
ski1 + (s,(s,((s,h) . s1k))) is V24() V25() integer ext-real set
(s,ski,ski1,((s,((s,h) . s1k)) `2_3)) is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
ski1 .--> ((s,((s,h) . s1k)) `2_3) is Relation-like INT -defined {ski1} -defined the of s -valued Function-like one-to-one finite set
{ski1} is non empty finite set
{ski1} --> ((s,((s,h) . s1k)) `2_3) is non empty Relation-like {ski1} -defined the of s -valued {((s,((s,h) . s1k)) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{ski1},{((s,((s,h) . s1k)) `2_3)}:]
{((s,((s,h) . s1k)) `2_3)} is non empty finite set
[:{ski1},{((s,((s,h) . s1k)) `2_3)}:] is non empty finite set
bool [:{ski1},{((s,((s,h) . s1k)) `2_3)}:] is non empty finite V36() set
ski +* (ski1 .--> ((s,((s,h) . s1k)) `2_3)) is Relation-like Function-like set
[((s,((s,h) . s1k)) `1_3),(ski1 + (s,(s,((s,h) . s1k)))),(s,ski,ski1,((s,((s,h) . s1k)) `2_3))] is V1() V2() set
[((s,((s,h) . s1k)) `1_3),(ski1 + (s,(s,((s,h) . s1k))))] is V1() set
[[((s,((s,h) . s1k)) `1_3),(ski1 + (s,(s,((s,h) . s1k))))],(s,ski,ski1,((s,((s,h) . s1k)) `2_3))] is V1() set
(INT, the of s,ski1,((s,((s,h) . s1k)) `2_3)) is Relation-like INT -defined {ski1} -defined the of s -valued Function-like one-to-one finite Element of bool [:INT, the of s:]
[:INT, the of s:] is non empty set
bool [:INT, the of s:] is non empty set
f +* (INT, the of s,ski1,((s,((s,h) . s1k)) `2_3)) is Relation-like Function-like set
((s,t),t2) . k is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
[: the of s, the of t:] is non empty finite set
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
[[ the of s, the of t],n,h1] is V1() V2() Element of [:[: the of s, the of t:],NAT,(Funcs (INT, the of s)):]
[:[: the of s, the of t:],NAT,(Funcs (INT, the of s)):] is non empty set
[[ the of s, the of t],n] is V1() set
[[[ the of s, the of t],n],h1] is V1() set
(s,h) . 0 is Element of [: the of s,INT,(Funcs (INT, the of s)):]
((s,h) . 0) `1_3 is Element of the of s
((s,h) . 0) `1 is set
(((s,h) . 0) `1) `1 is set
[(((s,h) . 0) `1_3), the of t] is V1() Element of [: the of s, the of t:]
((s,t),t2) . 0 is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
(((s,t),t2) . 0) `1_3 is Element of the of (s,t)
(((s,t),t2) . 0) `1 is set
((((s,t),t2) . 0) `1) `1 is set
((s,h) . 0) `2_3 is V24() V25() integer ext-real Element of INT
(((s,h) . 0) `1) `2 is set
(((s,t),t2) . 0) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),t2) . 0) `1) `2 is set
((s,h) . 0) `3_3 is Element of Funcs (INT, the of s)
(((s,t),t2) . 0) `3_3 is Element of Funcs (INT, the of (s,t))
t2 `1_3 is Element of the of (s,t)
t2 `1 is set
(t2 `1) `1 is set
h `1_3 is Element of the of s
h `1 is set
(h `1) `1 is set
h `2_3 is V24() V25() integer ext-real Element of INT
(h `1) `2 is set
t2 `2_3 is V24() V25() integer ext-real Element of INT
(t2 `1) `2 is set
h `3_3 is Element of Funcs (INT, the of s)
t2 `3_3 is Element of Funcs (INT, the of (s,t))
((s,h) . k) `2_3 is V24() V25() integer ext-real Element of INT
(((s,h) . k) `1) `2 is set
(((s,t),t2) . k) `2_3 is V24() V25() integer ext-real Element of INT
(((s,t),t2) . k) `1 is set
((((s,t),t2) . k) `1) `2 is set
(t,s1) is Relation-like NAT -defined [: the of t,INT,(Funcs (INT, the of t)):] -valued Function-like quasi_total Element of bool [:NAT,[: the of t,INT,(Funcs (INT, the of t)):]:]
[:NAT,[: the of t,INT,(Funcs (INT, the of t)):]:] is non empty set
bool [:NAT,[: the of t,INT,(Funcs (INT, the of t)):]:] is non empty set
m is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(t,s1) . m is Element of [: the of t,INT,(Funcs (INT, the of t)):]
((t,s1) . m) `1_3 is Element of the of t
((t,s1) . m) `1 is set
(((t,s1) . m) `1) `1 is set
((s,t),(((s,t),t2) . k)) is Relation-like NAT -defined [: the of (s,t),INT,(Funcs (INT, the of (s,t))):] -valued Function-like quasi_total Element of bool [:NAT,[: the of (s,t),INT,(Funcs (INT, the of (s,t))):]:]
s2m is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(t,s1) . s2m is Element of [: the of t,INT,(Funcs (INT, the of t)):]
((t,s1) . s2m) `1_3 is Element of the of t
((t,s1) . s2m) `1 is set
(((t,s1) . s2m) `1) `1 is set
[ the of s,(((t,s1) . s2m) `1_3)] is V1() Element of [: the of s, the of t:]
((s,t),(((s,t),t2) . k)) . s2m is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
(((s,t),(((s,t),t2) . k)) . s2m) `1_3 is Element of the of (s,t)
(((s,t),(((s,t),t2) . k)) . s2m) `1 is set
((((s,t),(((s,t),t2) . k)) . s2m) `1) `1 is set
((t,s1) . s2m) `2_3 is V24() V25() integer ext-real Element of INT
(((t,s1) . s2m) `1) `2 is set
(((s,t),(((s,t),t2) . k)) . s2m) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),(((s,t),t2) . k)) . s2m) `1) `2 is set
((t,s1) . s2m) `3_3 is Element of Funcs (INT, the of t)
(((s,t),(((s,t),t2) . k)) . s2m) `3_3 is Element of Funcs (INT, the of (s,t))
s2m + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(t,s1) . (s2m + 1) is Element of [: the of t,INT,(Funcs (INT, the of t)):]
((t,s1) . (s2m + 1)) `1_3 is Element of the of t
((t,s1) . (s2m + 1)) `1 is set
(((t,s1) . (s2m + 1)) `1) `1 is set
[ the of s,(((t,s1) . (s2m + 1)) `1_3)] is V1() Element of [: the of s, the of t:]
((s,t),(((s,t),t2) . k)) . (s2m + 1) is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
(((s,t),(((s,t),t2) . k)) . (s2m + 1)) `1_3 is Element of the of (s,t)
(((s,t),(((s,t),t2) . k)) . (s2m + 1)) `1 is set
((((s,t),(((s,t),t2) . k)) . (s2m + 1)) `1) `1 is set
((t,s1) . (s2m + 1)) `2_3 is V24() V25() integer ext-real Element of INT
(((t,s1) . (s2m + 1)) `1) `2 is set
(((s,t),(((s,t),t2) . k)) . (s2m + 1)) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),(((s,t),t2) . k)) . (s2m + 1)) `1) `2 is set
((t,s1) . (s2m + 1)) `3_3 is Element of Funcs (INT, the of t)
(((s,t),(((s,t),t2) . k)) . (s2m + 1)) `3_3 is Element of Funcs (INT, the of (s,t))
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) is Element of [: the of (s,t), the of (s,t),{(- 1),0,1}:]
[: the of (s,t), the of (s,t),{(- 1),0,1}:] is non empty finite set
the of (s,t) is Relation-like [: the of (s,t), the of (s,t):] -defined [: the of (s,t), the of (s,t),{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:]
[: the of (s,t), the of (s,t):] is non empty finite set
[:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of (s,t), the of (s,t):],[: the of (s,t), the of (s,t),{(- 1),0,1}:]:] is non empty finite V36() set
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) is V24() V25() integer ext-real set
((((s,t),(((s,t),t2) . k)) . s2m) `3_3) . ((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) is set
[((((s,t),(((s,t),t2) . k)) . s2m) `1_3),(((((s,t),(((s,t),t2) . k)) . s2m) `3_3) . ((s,t),(((s,t),(((s,t),t2) . k)) . s2m)))] is V1() set
the of (s,t) . [((((s,t),(((s,t),t2) . k)) . s2m) `1_3),(((((s,t),(((s,t),t2) . k)) . s2m) `3_3) . ((s,t),(((s,t),(((s,t),t2) . k)) . s2m)))] is set
(t,((t,s1) . s2m)) is Element of [: the of t, the of t,{(- 1),0,1}:]
[: the of t, the of t,{(- 1),0,1}:] is non empty finite set
the of t is Relation-like [: the of t, the of t:] -defined [: the of t, the of t,{(- 1),0,1}:] -valued Function-like quasi_total finite Element of bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:]
[: the of t, the of t:] is non empty finite set
[:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite set
bool [:[: the of t, the of t:],[: the of t, the of t,{(- 1),0,1}:]:] is non empty finite V36() set
(t,((t,s1) . s2m)) is V24() V25() integer ext-real set
(((t,s1) . s2m) `3_3) . (t,((t,s1) . s2m)) is set
[(((t,s1) . s2m) `1_3),((((t,s1) . s2m) `3_3) . (t,((t,s1) . s2m)))] is V1() set
the of t . [(((t,s1) . s2m) `1_3),((((t,s1) . s2m) `3_3) . (t,((t,s1) . s2m)))] is set
ss2 is Relation-like INT -defined the of t -valued Function-like quasi_total Element of Funcs (INT, the of t)
h is V24() V25() integer ext-real Element of INT
ss2 . h is Element of the of t
y is Element of the of t
[[ the of s,(((t,s1) . s2m) `1_3)],y] is V1() Element of [:[: the of s, the of t:], the of t:]
[:[: the of s, the of t:], the of t:] is non empty finite set
the of (s,t) . [[ the of s,(((t,s1) . s2m) `1_3)],y] is set
(t,((t,s1) . s2m)) `1_3 is Element of the of t
(t,((t,s1) . s2m)) `1 is set
((t,((t,s1) . s2m)) `1) `1 is set
[ the of s,((t,((t,s1) . s2m)) `1_3)] is V1() Element of [: the of s, the of t:]
(t,((t,s1) . s2m)) `2_3 is Element of the of t
((t,((t,s1) . s2m)) `1) `2 is set
(t,((t,s1) . s2m)) `3_3 is Element of {(- 1),0,1}
[[ the of s,((t,((t,s1) . s2m)) `1_3)],((t,((t,s1) . s2m)) `2_3),((t,((t,s1) . s2m)) `3_3)] is V1() V2() Element of [:[: the of s, the of t:], the of t,{(- 1),0,1}:]
[:[: the of s, the of t:], the of t,{(- 1),0,1}:] is non empty finite set
[[ the of s,((t,((t,s1) . s2m)) `1_3)],((t,((t,s1) . s2m)) `2_3)] is V1() set
[[[ the of s,((t,((t,s1) . s2m)) `1_3)],((t,((t,s1) . s2m)) `2_3)],((t,((t,s1) . s2m)) `3_3)] is V1() set
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3 is Element of the of (s,t)
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1 is set
(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1) `2 is set
the of (s,t) is Element of the of (s,t)
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1_3 is Element of the of (s,t)
(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1) `1 is set
((s,t),((s,t),(((s,t),(((s,t),t2) . k)) . s2m))) is V24() V25() integer ext-real set
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `3_3 is Element of {(- 1),0,1}
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) + ((s,t),((s,t),(((s,t),(((s,t),t2) . k)) . s2m))) is V24() V25() integer ext-real set
ssk is Relation-like INT -defined the of (s,t) -valued Function-like quasi_total Element of Funcs (INT, the of (s,t))
((s,t),ssk,((s,t),(((s,t),(((s,t),t2) . k)) . s2m)),(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)) is Relation-like INT -defined the of (s,t) -valued Function-like quasi_total Element of Funcs (INT, the of (s,t))
((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) .--> (((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3) is Relation-like {((s,t),(((s,t),(((s,t),t2) . k)) . s2m))} -defined the of (s,t) -valued Function-like one-to-one finite set
{((s,t),(((s,t),(((s,t),t2) . k)) . s2m))} is non empty finite set
{((s,t),(((s,t),(((s,t),t2) . k)) . s2m))} --> (((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3) is non empty Relation-like {((s,t),(((s,t),(((s,t),t2) . k)) . s2m))} -defined the of (s,t) -valued {(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{((s,t),(((s,t),(((s,t),t2) . k)) . s2m))},{(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)}:]
{(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)} is non empty finite set
[:{((s,t),(((s,t),(((s,t),t2) . k)) . s2m))},{(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)}:] is non empty finite set
bool [:{((s,t),(((s,t),(((s,t),t2) . k)) . s2m))},{(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)}:] is non empty finite V36() set
ssk +* (((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) .--> (((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3)) is Relation-like Function-like set
[(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1_3),(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) + ((s,t),((s,t),(((s,t),(((s,t),t2) . k)) . s2m)))),((s,t),ssk,((s,t),(((s,t),(((s,t),t2) . k)) . s2m)),(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3))] is V1() V2() set
[(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1_3),(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) + ((s,t),((s,t),(((s,t),(((s,t),t2) . k)) . s2m))))] is V1() set
[[(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `1_3),(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) + ((s,t),((s,t),(((s,t),(((s,t),t2) . k)) . s2m))))],((s,t),ssk,((s,t),(((s,t),(((s,t),t2) . k)) . s2m)),(((s,t),(((s,t),(((s,t),t2) . k)) . s2m)) `2_3))] is V1() set
(t,((t,s1) . s2m)) is Element of [: the of t,INT,(Funcs (INT, the of t)):]
(t,(t,((t,s1) . s2m))) is V24() V25() integer ext-real set
h + (t,(t,((t,s1) . s2m))) is V24() V25() integer ext-real set
(t,ss2,h,((t,((t,s1) . s2m)) `2_3)) is Relation-like INT -defined the of t -valued Function-like quasi_total Element of Funcs (INT, the of t)
h .--> ((t,((t,s1) . s2m)) `2_3) is Relation-like INT -defined {h} -defined the of t -valued Function-like one-to-one finite set
{h} is non empty finite set
{h} --> ((t,((t,s1) . s2m)) `2_3) is non empty Relation-like {h} -defined the of t -valued {((t,((t,s1) . s2m)) `2_3)} -valued Function-like constant total quasi_total finite Element of bool [:{h},{((t,((t,s1) . s2m)) `2_3)}:]
{((t,((t,s1) . s2m)) `2_3)} is non empty finite set
[:{h},{((t,((t,s1) . s2m)) `2_3)}:] is non empty finite set
bool [:{h},{((t,((t,s1) . s2m)) `2_3)}:] is non empty finite V36() set
ss2 +* (h .--> ((t,((t,s1) . s2m)) `2_3)) is Relation-like Function-like set
[((t,((t,s1) . s2m)) `1_3),(h + (t,(t,((t,s1) . s2m)))),(t,ss2,h,((t,((t,s1) . s2m)) `2_3))] is V1() V2() set
[((t,((t,s1) . s2m)) `1_3),(h + (t,(t,((t,s1) . s2m))))] is V1() set
[[((t,((t,s1) . s2m)) `1_3),(h + (t,(t,((t,s1) . s2m))))],(t,ss2,h,((t,((t,s1) . s2m)) `2_3))] is V1() set
(INT, the of t,h,((t,((t,s1) . s2m)) `2_3)) is Relation-like INT -defined {h} -defined the of t -valued Function-like one-to-one finite Element of bool [:INT, the of t:]
[:INT, the of t:] is non empty set
bool [:INT, the of t:] is non empty set
ssk +* (INT, the of t,h,((t,((t,s1) . s2m)) `2_3)) is Relation-like Function-like set
((s,h) . k) `3_3 is Element of Funcs (INT, the of s)
(((s,t),t2) . k) `3_3 is Element of Funcs (INT, the of (s,t))
((s,t),(((s,t),t2) . k)) . m is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
k + m is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((s,t),t2) . (k + m) is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
[(((s,h) . k) `1_3), the of t] is V1() Element of [: the of s, the of t:]
(((s,t),t2) . k) `1_3 is Element of the of (s,t)
((((s,t),t2) . k) `1) `1 is set
(t,s1) . 0 is Element of [: the of t,INT,(Funcs (INT, the of t)):]
((t,s1) . 0) `1_3 is Element of the of t
((t,s1) . 0) `1 is set
(((t,s1) . 0) `1) `1 is set
[ the of s,(((t,s1) . 0) `1_3)] is V1() Element of [: the of s, the of t:]
((s,t),(((s,t),t2) . k)) . 0 is Element of [: the of (s,t),INT,(Funcs (INT, the of (s,t))):]
(((s,t),(((s,t),t2) . k)) . 0) `1_3 is Element of the of (s,t)
(((s,t),(((s,t),t2) . k)) . 0) `1 is set
((((s,t),(((s,t),t2) . k)) . 0) `1) `1 is set
((t,s1) . 0) `2_3 is V24() V25() integer ext-real Element of INT
(((t,s1) . 0) `1) `2 is set
(((s,t),(((s,t),t2) . k)) . 0) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),(((s,t),t2) . k)) . 0) `1) `2 is set
((t,s1) . 0) `3_3 is Element of Funcs (INT, the of t)
(((s,t),(((s,t),t2) . k)) . 0) `3_3 is Element of Funcs (INT, the of (s,t))
s1 `1_3 is Element of the of t
s1 `1 is set
(s1 `1) `1 is set
[ the of s,(s1 `1_3)] is V1() Element of [: the of s, the of t:]
[ the of s, the of t] is V1() Element of [: the of s, the of t:]
s1 `2_3 is V24() V25() integer ext-real Element of INT
(s1 `1) `2 is set
s1 `3_3 is Element of Funcs (INT, the of t)
[ the of s,(((t,s1) . m) `1_3)] is V1() Element of [: the of s, the of t:]
(((s,t),(((s,t),t2) . k)) . m) `1_3 is Element of the of (s,t)
(((s,t),(((s,t),t2) . k)) . m) `1 is set
((((s,t),(((s,t),t2) . k)) . m) `1) `1 is set
(((s,t),t2) . (k + m)) `1_3 is Element of the of (s,t)
(((s,t),t2) . (k + m)) `1 is set
((((s,t),t2) . (k + m)) `1) `1 is set
the of (s,t) is Element of the of (s,t)
((t,s1) . m) `2_3 is V24() V25() integer ext-real Element of INT
(((t,s1) . m) `1) `2 is set
(((s,t),(((s,t),t2) . k)) . m) `2_3 is V24() V25() integer ext-real Element of INT
((((s,t),(((s,t),t2) . k)) . m) `1) `2 is set
((t,s1) . m) `3_3 is Element of Funcs (INT, the of t)
(((s,t),(((s,t),t2) . k)) . m) `3_3 is Element of Funcs (INT, the of (s,t))
s is ()
the of s is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
t is ()
the of t is non empty finite set
(s,t) is () ()
the of (s,t) is non empty finite set
Funcs (INT, the of (s,t)) is non empty FUNCTION_DOMAIN of INT , the of (s,t)
h is Relation-like INT -defined the of s -valued Function-like quasi_total Element of Funcs (INT, the of s)
the of s \/ the of t is non empty finite set
s is ()
t is ()
(s,t) is () ()
the of (s,t) is non empty finite set
Funcs (INT, the of (s,t)) is non empty FUNCTION_DOMAIN of INT , the of (s,t)
the of s is non empty finite set
the of t is non empty finite set
Funcs (INT, the of s) is non empty FUNCTION_DOMAIN of INT , the of s
Funcs (INT, the of t) is non empty FUNCTION_DOMAIN of INT , the of t
h is Relation-like INT -defined the of (s,t) -valued Function-like quasi_total Element of Funcs (INT, the of (s,t))
the of s \/ the of t is non empty finite set
s is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of NAT
t is ()
the of t is non empty finite set
Funcs (INT, the of t) is non empty FUNCTION_DOMAIN of INT , the of t
h is ()
the of h is non empty finite set
Funcs (INT, the of h) is non empty FUNCTION_DOMAIN of INT , the of h
n is Relation-like INT -defined the of t -valued Function-like quasi_total Element of Funcs (INT, the of t)
h1 is Relation-like INT -defined the of h -valued Function-like quasi_total Element of Funcs (INT, the of h)
s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(s1,s) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg s1 is finite V39(s1) Element of bool NAT
{ b<sub>1</sub> where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b<sub>1</sub> & b<sub>1</sub> <= s1 ) } is set
s | (Seg s1) is Relation-like finite FinSubsequence-like set
Sum (s1,s) is V24() V25() integer ext-real Element of INT
K241(INT,(s1,s),K189()) is V24() V25() integer ext-real Element of INT
s1 - 1 is V24() V25() integer ext-real Element of REAL
2 * (s1 - 1) is V24() V25() integer ext-real Element of REAL
(Sum (s1,s)) + (2 * (s1 - 1)) is V24() V25() integer ext-real Element of REAL
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((s1 + 1),s) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like FinSequence of INT
Seg (s1 + 1) is finite V39(s1 + 1) Element of bool NAT
{ b<sub>1</sub> where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT : ( 1 <= b<sub>1</sub> & b<sub>1</sub> <= s1 + 1 ) } is set
s | (Seg (s1 + 1)) is Relation-like finite FinSubsequence-like set
Sum ((s1 + 1),s) is V24() V25() integer ext-real Element of INT
K241(INT,((s1 + 1),s),K189()) is V24() V25() integer ext-real Element of INT
2 * s1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Sum ((s1 + 1),s)) + (2 * s1) is V24() V25() integer ext-real Element of REAL
len s is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
q0 is V24() V25() integer ext-real set
n . q0 is set
n . ((Sum (s1,s)) + (2 * (s1 - 1))) is set
n . ((Sum ((s1 + 1),s)) + (2 * s1)) is set
s is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),s) `2_3 is V24() V25() integer ext-real Element of INT
((),s) `1 is set
(((),s) `1) `2 is set
((),s) `3_3 is Element of Funcs (INT, the of ())
t is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[0,h,t] is V1() V2() Element of [:NAT,NAT,(Funcs (INT, the of ())):]
[:NAT,NAT,(Funcs (INT, the of ())):] is non empty set
[0,h] is V1() set
[[0,h],t] is V1() set
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
{[1,0]} is non empty finite set
<*h*> ^ <*0*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
<*n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(1) FinSequence-like FinSubsequence-like FinSequence of NAT
len <*n*> is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((),()) is () ()
the of ((),()) is non empty finite set
the of ((),()) is non empty finite set
Funcs (INT, the of ((),())) is non empty FUNCTION_DOMAIN of INT , the of ((),())
[: the of ((),()),INT,(Funcs (INT, the of ((),()))):] is non empty set
s is Element of [: the of ((),()),INT,(Funcs (INT, the of ((),()))):]
(((),()),s) is Element of [: the of ((),()),INT,(Funcs (INT, the of ((),()))):]
(((),()),s) `2_3 is V24() V25() integer ext-real Element of INT
(((),()),s) `1 is set
((((),()),s) `1) `2 is set
(((),()),s) `3_3 is Element of Funcs (INT, the of ((),()))
t is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
h is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[[0,0],h,t] is V1() V2() Element of [:[:NAT,NAT:],NAT,(Funcs (INT, the of ())):]
[:[:NAT,NAT:],NAT,(Funcs (INT, the of ())):] is non empty set
[[0,0],h] is V1() set
[[[0,0],h],t] is V1() set
n is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,n*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*h*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,h] is V1() set
{[1,h]} is non empty finite set
<*n*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,n] is V1() set
{[1,n]} is non empty finite set
<*h*> ^ <*n*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,1*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*1*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
{[1,1]} is non empty finite set
<*h*> ^ <*1*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
the of () is Element of the of ()
h1 is V24() V25() integer ext-real Element of INT
[ the of (),h1,t] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ the of (),h1] is V1() set
[[ the of (),h1],t] is V1() set
((),[ the of (),h1,t]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ the of (),h1,t]) `2_3 is V24() V25() integer ext-real Element of INT
((),[ the of (),h1,t]) `1 is set
(((),[ the of (),h1,t]) `1) `2 is set
((),[ the of (),h1,t]) `3_3 is Element of Funcs (INT, the of ())
the of () is Element of the of ()
t2 is Relation-like INT -defined the of () -valued Function-like quasi_total Element of Funcs (INT, the of ())
[ the of (),h1,t2] is V1() V2() Element of [: the of (),INT,(Funcs (INT, the of ())):]
[ the of (),h1] is V1() set
[[ the of (),h1],t2] is V1() set
the of ((),()) is Element of the of ((),())
[ the of ((),()),h,t] is V1() V2() Element of [: the of ((),()),NAT,(Funcs (INT, the of ())):]
[: the of ((),()),NAT,(Funcs (INT, the of ())):] is non empty set
[ the of ((),()),h] is V1() set
[[ the of ((),()),h],t] is V1() set
<*h,0*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*0*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
{[1,0]} is non empty finite set
<*h*> ^ <*0*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
0 + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
<*h,(0 + 1)*> is non empty Relation-like NAT -defined NAT -valued Function-like finite V39(2) FinSequence-like FinSubsequence-like FinSequence of NAT
<*(0 + 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1) FinSequence-like FinSubsequence-like set
[1,(0 + 1)] is V1() set
{[1,(0 + 1)]} is non empty finite set
<*h*> ^ <*(0 + 1)*> is non empty Relation-like NAT -defined Function-like finite V39(1 + 1) FinSequence-like FinSubsequence-like set
((),[ the of (),h1,t2]) is Element of [: the of (),INT,(Funcs (INT, the of ())):]
((),[ the of (),h1,t2]) `3_3 is Element of Funcs (INT, the of ())
((),[ the of (),h1,t2]) `2_3 is V24() V25() integer ext-real Element of INT
((),[ the of (),h1,t2]) `1 is set
(((),[ the of (),h1,t2]) `1) `2 is set