REAL is non empty non trivial non finite complex-membered ext-real-membered real-membered V75() V193() V194() V196() set
NAT is non empty non trivial epsilon-transitive epsilon-connected ordinal non finite cardinal limit_cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V191() V193() Element of bool REAL
bool REAL is non trivial non finite set
INT is non empty non trivial non finite complex-membered ext-real-membered real-membered rational-membered integer-membered V75() set
COMPLEX is non empty non trivial non finite complex-membered V75() set
[:NAT,REAL:] is non trivial Relation-like non finite V59() V60() V61() set
bool [:NAT,REAL:] is non trivial non finite set
omega is non empty non trivial epsilon-transitive epsilon-connected ordinal non finite cardinal limit_cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V191() V193() set
bool omega is non trivial non finite set
bool NAT is non trivial non finite set
RAT is non empty non trivial non finite complex-membered ext-real-membered real-membered rational-membered V75() set
[:REAL,REAL:] is non trivial Relation-like non finite V59() V60() V61() set
bool [:REAL,REAL:] is non trivial non finite set
{} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{{},1} is non empty finite V40() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
K388() is set
bool K388() is set
K389() is Element of bool K388()
2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
[:NAT,NAT:] is non trivial Relation-like RAT -valued INT -valued non finite V59() V60() V61() V62() set
bool [:NAT,NAT:] is non trivial non finite set
SetPrimes is non empty non trivial non finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V193() Element of bool NAT
[:COMPLEX,COMPLEX:] is non trivial Relation-like non finite V59() set
bool [:COMPLEX,COMPLEX:] is non trivial non finite set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is non trivial Relation-like non finite V59() set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non trivial non finite set
[:[:REAL,REAL:],REAL:] is non trivial Relation-like non finite V59() V60() V61() set
bool [:[:REAL,REAL:],REAL:] is non trivial non finite set
[:RAT,RAT:] is non trivial Relation-like RAT -valued non finite V59() V60() V61() set
bool [:RAT,RAT:] is non trivial non finite set
[:[:RAT,RAT:],RAT:] is non trivial Relation-like RAT -valued non finite V59() V60() V61() set
bool [:[:RAT,RAT:],RAT:] is non trivial non finite set
[:INT,INT:] is non trivial Relation-like RAT -valued INT -valued non finite V59() V60() V61() set
bool [:INT,INT:] is non trivial non finite set
[:[:INT,INT:],INT:] is non trivial Relation-like RAT -valued INT -valued non finite V59() V60() V61() set
bool [:[:INT,INT:],INT:] is non trivial non finite set
[:[:NAT,NAT:],NAT:] is non trivial Relation-like RAT -valued INT -valued non finite V59() V60() V61() V62() set
bool [:[:NAT,NAT:],NAT:] is non trivial non finite set
3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
Seg 1 is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
{1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
Seg 2 is non empty finite 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
{1,2} is non empty finite V40() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
card {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
0 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal Element of REAL
idseq 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
Seg 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of bool NAT
K105((Seg 0)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding Seg 0 -defined Seg 0 -valued INT -valued RAT -valued Function-like one-to-one constant functional V25( Seg 0) ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of bool [:(Seg 0),(Seg 0):]
[:(Seg 0),(Seg 0):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 0),(Seg 0):] is finite V40() set
Product (idseq 0) is V11() real ext-real set
5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Sgm {} is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
<*> REAL is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined REAL -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() V65() V66() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() FinSequence of REAL
Sum (<*> REAL) is V11() real ext-real Element of REAL
Product (<*> REAL) is V11() real ext-real Element of REAL
n is V11() real ext-real set
n * n is V11() real ext-real Element of REAL
m is V11() real ext-real set
m * m is V11() real ext-real Element of REAL
n * m is V11() real ext-real Element of REAL
m * n is V11() real ext-real Element of REAL
n is V11() real ext-real set
n * n is V11() real ext-real Element of REAL
m is V11() real ext-real set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (n + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n + 1) |-> m is Relation-like NAT -defined Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (n + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n + 1)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n + 1)),{m}:] is finite V40() set
Product ((n + 1) |-> m) is V11() real ext-real set
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n + n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n |-> m is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{m}:] is finite V40() set
Product (n |-> m) is V11() real ext-real set
(m |^ n) * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (n + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n + 1) |-> m is Relation-like NAT -defined Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (n + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n + 1)),{m}:]
[:(Seg (n + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n + 1)),{m}:] is finite V40() set
Product ((n + 1) |-> m) is V11() real ext-real set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m |^ (n + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n + 1) |-> m is Relation-like NAT -defined Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (n + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n + 1)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n + 1)),{m}:] is finite V40() set
Product ((n + 1) |-> m) is V11() real ext-real set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n |^ 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
0 |-> n is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
K334((Seg 0),n) is T-Sequence-like Relation-like NAT -defined INT -valued Function-like V29( Seg 0,{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 0),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 0),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 0),{n}:] is finite V40() set
Product (0 |-> n) is V11() real ext-real set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n |^ m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m |-> n is Relation-like NAT -defined Function-like finite m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg m),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg m,{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg m),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg m),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg m),{n}:] is finite V40() set
Product (m |-> n) is V11() real ext-real set
1 / 2 is non empty V11() real ext-real positive non negative Element of REAL
(1 / 2) - 1 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n / 2 is V11() real ext-real non negative Element of REAL
[\(n / 2)/] is V11() real integer ext-real set
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n + 1) / 2 is non empty V11() real ext-real positive non negative Element of REAL
[\((n + 1) / 2)/] is V11() real integer ext-real set
(n + 1) / 2 is non empty V11() real ext-real positive non negative Element of REAL
[\((n + 1) / 2)/] is V11() real integer ext-real set
- (n / 2) is V11() real ext-real non positive Element of REAL
- [\(n / 2)/] is V11() real integer V32() ext-real Element of INT
(- (n / 2)) + (n + 1) is V11() real ext-real Element of REAL
(- [\(n / 2)/]) + (n + 1) is V11() real integer ext-real Element of REAL
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n + 1) choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n + 1) choose X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n + 1) - X1 is V11() real integer ext-real Element of REAL
n - [\(n / 2)/] is V11() real integer V32() ext-real Element of INT
1 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) / 2 is V11() real ext-real non negative Element of REAL
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - mm is V11() real integer ext-real Element of REAL
n -' mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (n + 1) is Relation-like NAT -defined RAT -valued Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K105((Seg (n + 1))) is Relation-like Seg (n + 1) -defined Seg (n + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (n + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (n + 1)),(Seg (n + 1)):]
[:(Seg (n + 1)),(Seg (n + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n + 1)),(Seg (n + 1)):] is finite V40() set
Product (idseq (n + 1)) is V11() real ext-real set
n ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n is Relation-like NAT -defined RAT -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg n)) is Relation-like Seg n -defined Seg n -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n),(Seg n):]
[:(Seg n),(Seg n):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),(Seg n):] is finite V40() set
Product (idseq n) is V11() real ext-real set
((n + 1) !) / (n !) is non empty V11() real ext-real positive non negative Element of REAL
(n + 1) * (n !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / (n !) is non empty V11() real ext-real positive non negative Element of REAL
(n !) / (n !) is non empty V11() real ext-real positive non negative Element of REAL
(n + 1) * ((n !) / (n !)) is non empty V11() real ext-real positive non negative Element of REAL
(n + 1) * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n !) / ((n + 1) !) is non empty V11() real ext-real positive non negative Element of REAL
1 / (n + 1) is non empty V11() real ext-real positive non negative Element of REAL
(n / 2) + 1 is non empty V11() real ext-real positive non negative Element of REAL
n - X1 is V11() real integer V32() ext-real Element of INT
(n + 1) -' X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n + 1) / 2) * 2 is non empty V11() real ext-real positive non negative Element of REAL
(n + 1) - X2 is V11() real integer ext-real Element of REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n + n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n -' X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n / 2) - 1 is V11() real ext-real Element of REAL
[\(n / 2)/] + 1 is V11() real integer ext-real Element of REAL
((n / 2) - 1) + 1 is V11() real ext-real Element of REAL
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n1 is Relation-like NAT -defined RAT -valued Function-like finite n1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg n1 is finite n1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg n1)) is Relation-like Seg n1 -defined Seg n1 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n1) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n1),(Seg n1):]
[:(Seg n1),(Seg n1):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n1),(Seg n1):] is finite V40() set
Product (idseq n1) is V11() real ext-real set
X1 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X1 is Relation-like NAT -defined RAT -valued Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X1)) is Relation-like Seg X1 -defined Seg X1 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X1) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),(Seg X1):]
[:(Seg X1),(Seg X1):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),(Seg X1):] is finite V40() set
Product (idseq X1) is V11() real ext-real set
(n1 !) * (X1 !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) !) / ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
n1 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n1 is Relation-like NAT -defined RAT -valued Function-like finite n1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg n1 is finite n1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg n1)) is Relation-like Seg n1 -defined Seg n1 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n1) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n1),(Seg n1):]
[:(Seg n1),(Seg n1):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n1),(Seg n1):] is finite V40() set
Product (idseq n1) is V11() real ext-real set
(n1 !) / (n1 !) is non empty V11() real ext-real positive non negative Element of REAL
(n1 + 1) * (n1 !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n1 + 1) * (n1 !)) / (n1 !) is non empty V11() real ext-real positive non negative Element of REAL
(n1 !) / (n1 !) is non empty V11() real ext-real positive non negative Element of REAL
(n1 + 1) * ((n1 !) / (n1 !)) is non empty V11() real ext-real positive non negative Element of REAL
(n1 + 1) * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n1 !) * (X1 !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n !) / ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
(n choose X1) / ((n + 1) choose X1) is V11() real ext-real non negative Element of REAL
((n !) / ((n1 !) * (X1 !))) / (((n + 1) !) / ((n1 !) * (X1 !))) is non empty V11() real ext-real positive non negative Element of REAL
((n !) / ((n1 !) * (X1 !))) / ((n + 1) !) is non empty V11() real ext-real positive non negative Element of REAL
(((n !) / ((n1 !) * (X1 !))) / ((n + 1) !)) * ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) !) * ((n1 !) * (X1 !)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n !) / (((n + 1) !) * ((n1 !) * (X1 !))) is non empty V11() real ext-real positive non negative Element of REAL
((n !) / (((n + 1) !) * ((n1 !) * (X1 !)))) * ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
(1 / (n + 1)) / ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
((1 / (n + 1)) / ((n1 !) * (X1 !))) * ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
((n1 !) * (X1 !)) / ((n1 !) * (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
(1 / (n + 1)) / (((n1 !) * (X1 !)) / ((n1 !) * (X1 !))) is non empty V11() real ext-real positive non negative Element of REAL
(n1 !) / (n1 !) is non empty V11() real ext-real positive non negative Element of REAL
(X1 !) / (X1 !) is non empty V11() real ext-real positive non negative Element of REAL
((n1 !) / (n1 !)) / ((X1 !) / (X1 !)) is non empty V11() real ext-real positive non negative Element of REAL
(1 / (n + 1)) / (((n1 !) / (n1 !)) / ((X1 !) / (X1 !))) is non empty V11() real ext-real positive non negative Element of REAL
((n1 !) / (n1 !)) / 1 is non empty V11() real ext-real positive non negative Element of REAL
(1 / (n + 1)) / (((n1 !) / (n1 !)) / 1) is non empty V11() real ext-real positive non negative Element of REAL
1 / (n1 + 1) is non empty V11() real ext-real positive non negative Element of REAL
(1 / (n + 1)) / (1 / (n1 + 1)) is non empty V11() real ext-real positive non negative Element of REAL
1 * (n1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 * (n + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1 * (n1 + 1)) / (1 * (n + 1)) is non empty V11() real ext-real positive non negative Element of REAL
(n1 + 1) / (n + 1) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) choose X1) / ((n + 1) choose X1) is V11() real ext-real non negative Element of REAL
(n choose X1) / (((n + 1) choose X1) / ((n + 1) choose X1)) is V11() real ext-real non negative Element of REAL
((n1 + 1) / (n + 1)) * ((n + 1) choose X1) is V11() real ext-real non negative Element of REAL
(n choose X1) / 1 is V11() real ext-real non negative Element of REAL
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n + 1) / (mm + 1) is non empty V11() real ext-real positive non negative Element of REAL
(n choose X1) * ((n + 1) / (mm + 1)) is V11() real ext-real non negative Element of REAL
(((n1 + 1) / (n + 1)) * ((n + 1) choose X1)) * (n + 1) is V11() real ext-real non negative Element of REAL
((((n1 + 1) / (n + 1)) * ((n + 1) choose X1)) * (n + 1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
((n1 + 1) / (n + 1)) * (n + 1) is non empty V11() real ext-real positive non negative Element of REAL
(((n1 + 1) / (n + 1)) * (n + 1)) * ((n + 1) choose X1) is V11() real ext-real non negative Element of REAL
((((n1 + 1) / (n + 1)) * (n + 1)) * ((n + 1) choose X1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
(n + 1) / (n + 1) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) / (n + 1)) * (n1 + 1) is non empty V11() real ext-real positive non negative Element of REAL
(((n + 1) / (n + 1)) * (n1 + 1)) * ((n + 1) choose X1) is V11() real ext-real non negative Element of REAL
((((n + 1) / (n + 1)) * (n1 + 1)) * ((n + 1) choose X1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
(1 * (n1 + 1)) * ((n + 1) choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((1 * (n1 + 1)) * ((n + 1) choose X1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
(n1 + 1) / (mm + 1) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) choose X1) * ((n1 + 1) / (mm + 1)) is V11() real ext-real non negative Element of REAL
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n + 1) / (mm + 1) is non empty V11() real ext-real positive non negative Element of REAL
(n choose X1) * ((n + 1) / (mm + 1)) is V11() real ext-real non negative Element of REAL
((((n1 + 1) / (n + 1)) * ((n + 1) choose X1)) * (n + 1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
((((n1 + 1) / (n + 1)) * (n + 1)) * ((n + 1) choose X1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
((((n + 1) / (n + 1)) * (n1 + 1)) * ((n + 1) choose X1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
((1 * (n1 + 1)) * ((n + 1) choose X1)) / (mm + 1) is V11() real ext-real non negative Element of REAL
(n1 + 1) / (mm + 1) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) choose X1) * ((n1 + 1) / (mm + 1)) is V11() real ext-real non negative Element of REAL
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * p1) / 2 is V11() real ext-real non negative Element of REAL
((2 * p1) / 2) + (1 / 2) is non empty V11() real ext-real positive non negative Element of REAL
[\(((2 * p1) / 2) + (1 / 2))/] is V11() real integer ext-real set
[\(1 / 2)/] is V11() real integer ext-real set
p1 + [\(1 / 2)/] is V11() real integer ext-real Element of REAL
p1 + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n choose mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- X1 is V11() real integer V32() ext-real non positive Element of INT
(- X1) + (n + 1) is V11() real integer ext-real Element of REAL
(n - [\(n / 2)/]) + 1 is V11() real integer ext-real Element of REAL
((n - [\(n / 2)/]) + 1) / ((n - [\(n / 2)/]) + 1) is V11() real ext-real Element of REAL
(n - X1) + 1 is V11() real integer ext-real Element of REAL
((n - X1) + 1) / ((n - [\(n / 2)/]) + 1) is V11() real ext-real Element of REAL
1 * ((n + 1) choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((n - X1) + 1) / ((n - [\(n / 2)/]) + 1)) * ((n + 1) choose X1) is V11() real ext-real Element of REAL
X2 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X2 is Relation-like NAT -defined RAT -valued Function-like finite X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X2 is finite X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X2)) is Relation-like Seg X2 -defined Seg X2 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X2) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X2),(Seg X2):]
[:(Seg X2),(Seg X2):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X2),(Seg X2):] is finite V40() set
Product (idseq X2) is V11() real ext-real set
((n + 1) -' X2) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq ((n + 1) -' X2) is Relation-like NAT -defined RAT -valued Function-like finite (n + 1) -' X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg ((n + 1) -' X2) is finite (n + 1) -' X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg ((n + 1) -' X2))) is Relation-like Seg ((n + 1) -' X2) -defined Seg ((n + 1) -' X2) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg ((n + 1) -' X2)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n + 1) -' X2)),(Seg ((n + 1) -' X2)):]
[:(Seg ((n + 1) -' X2)),(Seg ((n + 1) -' X2)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n + 1) -' X2)),(Seg ((n + 1) -' X2)):] is finite V40() set
Product (idseq ((n + 1) -' X2)) is V11() real ext-real set
(X2 !) * (((n + 1) -' X2) !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) !) / ((X2 !) * (((n + 1) -' X2) !)) is non empty V11() real ext-real positive non negative Element of REAL
mm ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq mm is Relation-like NAT -defined RAT -valued Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg mm)) is Relation-like Seg mm -defined Seg mm -valued INT -valued RAT -valued Function-like one-to-one V25( Seg mm) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),(Seg mm):]
[:(Seg mm),(Seg mm):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),(Seg mm):] is finite V40() set
Product (idseq mm) is V11() real ext-real set
(mm + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (mm + 1) is Relation-like NAT -defined RAT -valued Function-like finite mm + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (mm + 1) is non empty finite mm + 1 -element mm + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (mm + 1))) is Relation-like Seg (mm + 1) -defined Seg (mm + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (mm + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm + 1)),(Seg (mm + 1)):]
[:(Seg (mm + 1)),(Seg (mm + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm + 1)),(Seg (mm + 1)):] is finite V40() set
Product (idseq (mm + 1)) is V11() real ext-real set
(mm !) * ((mm + 1) !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / ((mm !) * ((mm + 1) !)) is non empty V11() real ext-real positive non negative Element of REAL
mm ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq mm is Relation-like NAT -defined RAT -valued Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg mm)) is Relation-like Seg mm -defined Seg mm -valued INT -valued RAT -valued Function-like one-to-one V25( Seg mm) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),(Seg mm):]
[:(Seg mm),(Seg mm):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),(Seg mm):] is finite V40() set
Product (idseq mm) is V11() real ext-real set
(mm + 1) * (mm !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm !) * ((mm + 1) * (mm !)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / ((mm !) * ((mm + 1) * (mm !))) is non empty V11() real ext-real positive non negative Element of REAL
(mm !) * (mm !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm + 1) * ((mm !) * (mm !)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / ((mm + 1) * ((mm !) * (mm !))) is non empty V11() real ext-real positive non negative Element of REAL
((mm !) * (mm !)) / (n !) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) / (mm + 1)) / (((mm !) * (mm !)) / (n !)) is non empty V11() real ext-real positive non negative Element of REAL
(n !) / ((mm !) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
((n !) / ((mm !) * (mm !))) * ((n + 1) / (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
(n choose mm) * ((n + 1) / (mm + 1)) is V11() real ext-real non negative Element of REAL
(n + 1) choose mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 is V11() real integer ext-real set
2 * p1 is V11() real integer ext-real Element of REAL
(2 * p1) + 1 is V11() real integer ext-real Element of REAL
p1 + 0 is V11() real integer ext-real Element of REAL
(p1 + 0) + 1 is V11() real integer ext-real Element of REAL
[\(1 / 2)/] is V11() real integer ext-real set
p1 + [\(1 / 2)/] is V11() real integer V32() ext-real Element of INT
(p1 + [\(1 / 2)/]) + 1 is V11() real integer ext-real Element of REAL
p1 + (1 / 2) is V11() real ext-real Element of REAL
[\(p1 + (1 / 2))/] is V11() real integer ext-real set
[\(p1 + (1 / 2))/] + 1 is V11() real integer ext-real Element of REAL
n choose mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
[\(n / 2)/] * 2 is V11() real integer ext-real Element of REAL
(n / 2) * 2 is V11() real ext-real non negative Element of REAL
([\(n / 2)/] * 2) - [\(n / 2)/] is V11() real integer ext-real Element of REAL
X1 - [\(n / 2)/] is V11() real integer V32() ext-real Element of INT
X1 - (X1 - [\(n / 2)/]) is V11() real integer V32() ext-real Element of INT
(n - [\(n / 2)/]) - (X1 - [\(n / 2)/]) is V11() real integer V32() ext-real Element of INT
(n - X1) + 1 is V11() real integer ext-real Element of REAL
([\(n / 2)/] + 1) / ([\(n / 2)/] + 1) is V11() real ext-real Element of REAL
((n - X1) + 1) / ([\(n / 2)/] + 1) is V11() real ext-real Element of REAL
1 * ((n + 1) choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((n - X1) + 1) / ([\(n / 2)/] + 1)) * ((n + 1) choose X1) is V11() real ext-real Element of REAL
X2 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X2 is Relation-like NAT -defined RAT -valued Function-like finite X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X2 is finite X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X2)) is Relation-like Seg X2 -defined Seg X2 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X2) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X2),(Seg X2):]
[:(Seg X2),(Seg X2):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X2),(Seg X2):] is finite V40() set
Product (idseq X2) is V11() real ext-real set
((n + 1) -' X2) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq ((n + 1) -' X2) is Relation-like NAT -defined RAT -valued Function-like finite (n + 1) -' X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg ((n + 1) -' X2) is finite (n + 1) -' X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg ((n + 1) -' X2))) is Relation-like Seg ((n + 1) -' X2) -defined Seg ((n + 1) -' X2) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg ((n + 1) -' X2)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n + 1) -' X2)),(Seg ((n + 1) -' X2)):]
[:(Seg ((n + 1) -' X2)),(Seg ((n + 1) -' X2)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n + 1) -' X2)),(Seg ((n + 1) -' X2)):] is finite V40() set
Product (idseq ((n + 1) -' X2)) is V11() real ext-real set
(X2 !) * (((n + 1) -' X2) !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) !) / ((X2 !) * (((n + 1) -' X2) !)) is non empty V11() real ext-real positive non negative Element of REAL
(mm + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (mm + 1) is Relation-like NAT -defined RAT -valued Function-like finite mm + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (mm + 1) is non empty finite mm + 1 -element mm + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (mm + 1))) is Relation-like Seg (mm + 1) -defined Seg (mm + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (mm + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm + 1)),(Seg (mm + 1)):]
[:(Seg (mm + 1)),(Seg (mm + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm + 1)),(Seg (mm + 1)):] is finite V40() set
Product (idseq (mm + 1)) is V11() real ext-real set
mm ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq mm is Relation-like NAT -defined RAT -valued Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg mm)) is Relation-like Seg mm -defined Seg mm -valued INT -valued RAT -valued Function-like one-to-one V25( Seg mm) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),(Seg mm):]
[:(Seg mm),(Seg mm):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),(Seg mm):] is finite V40() set
Product (idseq mm) is V11() real ext-real set
((mm + 1) !) * (mm !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / (((mm + 1) !) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
mm ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq mm is Relation-like NAT -defined RAT -valued Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg mm)) is Relation-like Seg mm -defined Seg mm -valued INT -valued RAT -valued Function-like one-to-one V25( Seg mm) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),(Seg mm):]
[:(Seg mm),(Seg mm):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),(Seg mm):] is finite V40() set
Product (idseq mm) is V11() real ext-real set
(mm !) * (mm + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((mm !) * (mm + 1)) * (mm !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / (((mm !) * (mm + 1)) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
(mm !) * (mm !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm + 1) * ((mm !) * (mm !)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((n + 1) * (n !)) / ((mm + 1) * ((mm !) * (mm !))) is non empty V11() real ext-real positive non negative Element of REAL
((mm !) * (mm !)) / (n !) is non empty V11() real ext-real positive non negative Element of REAL
((n + 1) / (mm + 1)) / (((mm !) * (mm !)) / (n !)) is non empty V11() real ext-real positive non negative Element of REAL
(n !) / ((mm !) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
((n !) / ((mm !) * (mm !))) * ((n + 1) / (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
(n choose mm) * ((n + 1) / (mm + 1)) is V11() real ext-real non negative Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n + 1) choose m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n + 1) choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 / 2 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of REAL
[\(0 / 2)/] is V11() real integer ext-real set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
0 choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 choose m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 / 2 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of REAL
[\(0 / 2)/] is V11() real integer ext-real set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n / 2 is V11() real ext-real non negative Element of REAL
[\(n / 2)/] is V11() real integer ext-real set
n choose m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n -' m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - m is V11() real integer V32() ext-real Element of INT
n choose (n -' m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- X1 is V11() real integer V32() ext-real non positive Element of INT
- m is V11() real integer V32() ext-real non positive Element of INT
(- X1) + n is V11() real integer V32() ext-real Element of INT
(- m) + n is V11() real integer V32() ext-real Element of INT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is V11() real integer ext-real set
2 * X3 is V11() real integer ext-real Element of REAL
(2 * X3) + 1 is V11() real integer ext-real Element of REAL
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 + (1 / 2) is V11() real ext-real Element of REAL
[\(X3 + (1 / 2))/] is V11() real integer ext-real set
[\(1 / 2)/] is V11() real integer ext-real set
X3 + [\(1 / 2)/] is V11() real integer V32() ext-real Element of INT
X3 + 0 is V11() real integer ext-real Element of REAL
n - (X1 + 1) is V11() real integer ext-real Element of REAL
n - X1 is V11() real integer V32() ext-real Element of INT
1 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) / 2 is V11() real ext-real non negative Element of REAL
n -' X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n -' (X1 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n choose (X1 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n is Relation-like NAT -defined RAT -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg n)) is Relation-like Seg n -defined Seg n -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n),(Seg n):]
[:(Seg n),(Seg n):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),(Seg n):] is finite V40() set
Product (idseq n) is V11() real ext-real set
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq XX is Relation-like NAT -defined RAT -valued Function-like finite XX -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg XX is finite XX -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg XX)) is Relation-like Seg XX -defined Seg XX -valued INT -valued RAT -valued Function-like one-to-one V25( Seg XX) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg XX),(Seg XX):]
[:(Seg XX),(Seg XX):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg XX),(Seg XX):] is finite V40() set
Product (idseq XX) is V11() real ext-real set
(X1 + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (X1 + 1) is Relation-like NAT -defined RAT -valued Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (X1 + 1) is non empty finite X1 + 1 -element X1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K105((Seg (X1 + 1))) is Relation-like Seg (X1 + 1) -defined Seg (X1 + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (X1 + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (X1 + 1)),(Seg (X1 + 1)):]
[:(Seg (X1 + 1)),(Seg (X1 + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X1 + 1)),(Seg (X1 + 1)):] is finite V40() set
Product (idseq (X1 + 1)) is V11() real ext-real set
(XX !) * ((X1 + 1) !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n !) / ((XX !) * ((X1 + 1) !)) is non empty V11() real ext-real positive non negative Element of REAL
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- (X1 + 1) is non empty V11() real integer ext-real non positive negative Element of REAL
- m is V11() real integer V32() ext-real non positive Element of INT
(- (X1 + 1)) + n is V11() real integer ext-real Element of REAL
(- m) + n is V11() real integer V32() ext-real Element of INT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n / 2 is V11() real ext-real non negative Element of REAL
[\(n / 2)/] is V11() real integer ext-real set
n choose m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*1*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m / 2 is V11() real ext-real non negative Element of REAL
[\(m / 2)/] is V11() real integer ext-real set
2 |^ m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal Element of REAL
m |-> 2 is Relation-like NAT -defined Function-like finite m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg m),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg m,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg m),{2}:]
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg m),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg m),{2}:] is finite V40() set
Product (m |-> 2) is V11() real ext-real set
(2 |^ m) / m is V11() real ext-real non negative Element of REAL
m choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Newton_Coeff m is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m -' 1) |-> (m choose X1) is Relation-like NAT -defined NAT -valued Function-like finite m -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support Element of (m -' 1) -tuples_on NAT
(m -' 1) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = m -' 1 } is set
Seg (m -' 1) is finite m -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (m -' 1)),(m choose X1)) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (m -' 1),{(m choose X1)}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m -' 1)),{(m choose X1)}:]
{(m choose X1)} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (m -' 1)),{(m choose X1)}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m -' 1)),{(m choose X1)}:] is finite V40() set
<*1*> ^ ((m -' 1) |-> (m choose X1)) is non empty Relation-like NAT -defined REAL -valued Function-like finite 1 + (m -' 1) -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
1 + (m -' 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(<*1*> ^ ((m -' 1) |-> (m choose X1))) ^ <*1*> is non empty Relation-like NAT -defined REAL -valued Function-like finite (1 + (m -' 1)) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(1 + (m -' 1)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Sum ((m -' 1) |-> (m choose X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m -' 1) * (m choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m - 1 is V11() real integer ext-real Element of REAL
len ((<*1*> ^ ((m -' 1) |-> (m choose X1))) ^ <*1*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
len (<*1*> ^ ((m -' 1) |-> (m choose X1))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
len <*1*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len (<*1*> ^ ((m -' 1) |-> (m choose X1)))) + (len <*1*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len (<*1*> ^ ((m -' 1) |-> (m choose X1)))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
len ((m -' 1) |-> (m choose X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len <*1*>) + (len ((m -' 1) |-> (m choose X1))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((len <*1*>) + (len ((m -' 1) |-> (m choose X1)))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len <*1*>) + (m - 1) is V11() real integer ext-real Element of REAL
((len <*1*>) + (m - 1)) + 1 is V11() real integer ext-real Element of REAL
1 + (m - 1) is V11() real integer ext-real Element of REAL
(1 + (m - 1)) + 1 is V11() real integer ext-real Element of REAL
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
len (Newton_Coeff m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (Newton_Coeff m) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Seg (m + 1) is non empty finite m + 1 -element m + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
dom ((<*1*> ^ ((m -' 1) |-> (m choose X1))) ^ <*1*>) is non empty finite (1 + (m -' 1)) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Newton_Coeff m) . mm is V11() real ext-real set
((<*1*> ^ ((m -' 1) |-> (m choose X1))) ^ <*1*>) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (<*1*> ^ ((m -' 1) |-> (m choose X1))) is non empty finite 1 + (m -' 1) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(<*1*> ^ ((m -' 1) |-> (m choose X1))) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom <*1*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
1 - 1 is V11() real integer ext-real Element of REAL
<*1*> . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m choose XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom ((m -' 1) |-> (m choose X1)) is finite m -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
mm -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len <*1*>) + XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len <*1*>) + XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm - 1 is V11() real integer ext-real Element of REAL
((m -' 1) |-> (m choose X1)) . XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
(- 1) + m is V11() real integer ext-real Element of REAL
m choose (mm -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom <*1*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
dom ((m -' 1) |-> (m choose X1)) is finite m -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom <*1*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(m + 1) - 1 is V11() real integer ext-real Element of REAL
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len (<*1*> ^ ((m -' 1) |-> (m choose X1)))) + XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len (<*1*> ^ ((m -' 1) |-> (m choose X1)))) + XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m choose mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*1*> . XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (<*1*> ^ ((m -' 1) |-> (m choose X1))) is non empty finite 1 + (m -' 1) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
dom <*1*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
m choose 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m - 1) * (m choose X1) is V11() real integer ext-real Element of REAL
2 + ((m - 1) * (m choose X1)) is V11() real integer ext-real Element of REAL
(m choose X1) + ((m - 1) * (m choose X1)) is V11() real integer ext-real Element of REAL
Sum ((<*1*> ^ ((m -' 1) |-> (m choose X1))) ^ <*1*>) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum (<*1*> ^ ((m -' 1) |-> (m choose X1))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum (<*1*> ^ ((m -' 1) |-> (m choose X1)))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + (Sum ((m -' 1) |-> (m choose X1))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1 + (Sum ((m -' 1) |-> (m choose X1)))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 + ((m -' 1) * (m choose X1)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Sum (Newton_Coeff m) is V11() real ext-real Element of REAL
m * (m choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * (m choose X1)) / m is V11() real ext-real non negative Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
4 |^ n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal Element of REAL
n |-> 4 is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),4) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n,{4}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{4}:]
{4} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{4}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{4}:] is finite V40() set
Product (n |-> 4) is V11() real ext-real set
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(4 |^ n) / (2 * n) is V11() real ext-real non negative Element of REAL
(2 * n) choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) / 2 is V11() real ext-real non negative Element of REAL
[\((2 * n) / 2)/] is V11() real integer ext-real set
2 |^ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |-> 2 is Relation-like NAT -defined Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg 2),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2),{2}:]
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 2),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2),{2}:] is finite V40() set
Product (2 |-> 2) is V11() real ext-real set
<*2,2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
Product <*2,2*> is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * n) |-> 2 is Relation-like NAT -defined Function-like finite 2 * n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * n) is finite 2 * n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2 * n)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * n),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * n)),{2}:]
[:(Seg (2 * n)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * n)),{2}:] is finite V40() set
Product ((2 * n) |-> 2) is V11() real ext-real set
(2 |^ (2 * n)) / (2 * n) is V11() real ext-real non negative Element of REAL
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 * X1) * (m * m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * X1) / m is V11() real ext-real non negative Element of REAL
m / m is V11() real ext-real non negative Element of REAL
X1 * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 * m) / m is V11() real ext-real non negative Element of REAL
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(m * X1) + X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n div m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * (n div m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * (n div m)) + X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m gcd X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m |^ n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n |-> m is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{m}:] is finite V40() set
Product (n |-> m) is V11() real ext-real set
(m |^ n) gcd X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
2 * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |^ (2 * m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(2 * m) |-> n is Relation-like NAT -defined Function-like finite 2 * m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * m) is finite 2 * m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2 * m)),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg (2 * m),{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * m)),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (2 * m)),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * m)),{n}:] is finite V40() set
Product ((2 * m) |-> n) is V11() real ext-real set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n |^ (2 * m)) mod X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |^ m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m |-> n is Relation-like NAT -defined Function-like finite m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg m),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg m,{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg m),{n}:]
[:(Seg m),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg m),{n}:] is finite V40() set
Product (m |-> n) is V11() real ext-real set
(n |^ m) mod X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n |^ m) mod X1) * ((n |^ m) mod X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((n |^ m) mod X1) * ((n |^ m) mod X1)) mod X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |^ (2 * X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * X3) |-> X2 is Relation-like NAT -defined Function-like finite 2 * X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * X3) is finite 2 * X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2 * X3)),X2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * X3),{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * X3)),{X2}:]
{X2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (2 * X3)),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * X3)),{X2}:] is finite V40() set
Product ((2 * X3) |-> X2) is V11() real ext-real set
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 |^ (2 * X3)) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 + X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |^ (X3 + X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 + X3) |-> X2 is Relation-like NAT -defined Function-like finite X3 + X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 + X3) is finite X3 + X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 + X3)),X2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (X3 + X3),{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 + X3)),{X2}:]
[:(Seg (X3 + X3)),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 + X3)),{X2}:] is finite V40() set
Product ((X3 + X3) |-> X2) is V11() real ext-real set
(X2 |^ (X3 + X3)) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |^ X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-> X2 is Relation-like NAT -defined Function-like finite X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X3 is finite X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X3),X2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X3,{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X3),{X2}:]
[:(Seg X3),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X3),{X2}:] is finite V40() set
Product (X3 |-> X2) is V11() real ext-real set
(X2 |^ X3) * (X2 |^ X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X2 |^ X3) * (X2 |^ X3)) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 |^ X3) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X2 |^ X3) mod X) * ((X2 |^ X3) mod X) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((X2 |^ X3) mod X) * ((X2 |^ X3) mod X)) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
n |^ X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 |-> n is Relation-like NAT -defined Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X1),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg X1,{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X1),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),{n}:] is finite V40() set
Product (X1 |-> n) is V11() real ext-real set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(n |^ X1) mod m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 gcd X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X3 * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 * mm) mod X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X3 * mm) mod X3) |^ X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X |-> ((X3 * mm) mod X3) is Relation-like NAT -defined Function-like finite X -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X is finite X -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X),((X3 * mm) mod X3)) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X,{((X3 * mm) mod X3)}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X),{((X3 * mm) mod X3)}:]
{((X3 * mm) mod X3)} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X),{((X3 * mm) mod X3)}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X),{((X3 * mm) mod X3)}:] is finite V40() set
Product (X |-> ((X3 * mm) mod X3)) is V11() real ext-real set
(((X3 * mm) mod X3) |^ X) mod X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 |^ X is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X |-> 0 is Relation-like empty-yielding NAT -defined Function-like finite X -element FinSequence-like FinSubsequence-like V59() V60() V61() V80() FinSequence-yielding finite-support set
K334((Seg X),0) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X,{0}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X),{0}:]
{0} is non empty trivial functional finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X),{0}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X),{0}:] is finite V40() set
Product (X |-> 0) is V11() real ext-real set
(0 |^ X) mod X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(X3 * 0) mod X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |^ (n |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(n |-count m) |-> n is Relation-like NAT -defined Function-like finite n |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n |-count m) is finite n |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n |-count m)),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n |-count m),{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n |-count m)),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n |-count m)),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n |-count m)),{n}:] is finite V40() set
Product ((n |-count m) |-> n) is V11() real ext-real set
X1 is set
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ ((n + 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n + 1) + 1) |-> X1 is Relation-like NAT -defined Function-like finite (n + 1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((n + 1) + 1) is non empty finite (n + 1) + 1 -element (n + 1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg ((n + 1) + 1)),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n + 1) + 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n + 1) + 1)),{X1}:]
{X1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg ((n + 1) + 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n + 1) + 1)),{X1}:] is finite V40() set
Product (((n + 1) + 1) |-> X1) is V11() real ext-real set
m * (X1 |^ ((n + 1) + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ (n + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n + 1) |-> X1 is Relation-like NAT -defined Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (n + 1)),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n + 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n + 1)),{X1}:]
[:(Seg (n + 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n + 1)),{X1}:] is finite V40() set
Product ((n + 1) |-> X1) is V11() real ext-real set
m * (X1 |^ (n + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X2 * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-> X1 is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n,{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{X1}:]
[:(Seg n),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{X1}:] is finite V40() set
Product (n |-> X1) is V11() real ext-real set
X1 * (X1 |^ n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * (X1 * (X1 |^ n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * X1) * (X1 |^ n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * (X1 |^ (n + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * (X1 * (X1 |^ (n + 1))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * X1) * (X1 |^ (n + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(X1 |^ (n + 1)) * X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 |^ (n + 1)) * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * ((X1 |^ (n + 1)) * X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * (X1 * mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * (X1 |^ (n + 1))) * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 * mm) * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 |^ (n + 1)) * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * ((X1 |^ (n + 1)) * X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X * X3) * (X1 |^ (n + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X1 |^ (n + 1)) * X1) * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 |^ ((n + 1) + 1)) * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ ((n + 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n + 1) + 1) |-> X1 is Relation-like NAT -defined Function-like finite (n + 1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((n + 1) + 1) is non empty finite (n + 1) + 1 -element (n + 1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg ((n + 1) + 1)),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n + 1) + 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n + 1) + 1)),{X1}:]
{X1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg ((n + 1) + 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n + 1) + 1)),{X1}:] is finite V40() set
Product (((n + 1) + 1) |-> X1) is V11() real ext-real set
m * (X1 |^ ((n + 1) + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ (n + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal Element of REAL
(n + 1) |-> X1 is Relation-like NAT -defined Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (n + 1)),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n + 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n + 1)),{X1}:]
[:(Seg (n + 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n + 1)),{X1}:] is finite V40() set
Product ((n + 1) |-> X1) is V11() real ext-real set
m * (X1 |^ (n + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (0 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(0 + 1) |-> m is Relation-like NAT -defined Function-like finite 0 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (0 + 1) is non empty finite 0 + 1 -element 0 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (0 + 1)),m) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (0 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (0 + 1)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (0 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (0 + 1)),{m}:] is finite V40() set
Product ((0 + 1) |-> m) is V11() real ext-real set
n * (m |^ (0 + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal Element of REAL
0 |-> m is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
K334((Seg 0),m) is T-Sequence-like Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 0,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 0),{m}:]
[:(Seg 0),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 0),{m}:] is finite V40() set
Product (0 |-> m) is V11() real ext-real set
n * (m |^ 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ (0 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(0 + 1) |-> m is Relation-like NAT -defined Function-like finite 0 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (0 + 1) is non empty finite 0 + 1 -element 0 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (0 + 1)),m) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (0 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (0 + 1)),{m}:]
[:(Seg (0 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (0 + 1)),{m}:] is finite V40() set
Product ((0 + 1) |-> m) is V11() real ext-real set
n * (m |^ (0 + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * (m |^ 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 * X3) * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ (X1 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 + 1) |-> m is Relation-like NAT -defined Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X1 + 1) is non empty finite X1 + 1 -element X1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (X1 + 1)),m) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (X1 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X1 + 1)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (X1 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X1 + 1)),{m}:] is finite V40() set
Product ((X1 + 1) |-> m) is V11() real ext-real set
n * (m |^ (X1 + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |-> m is Relation-like NAT -defined Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X1),m) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),{m}:]
[:(Seg X1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),{m}:] is finite V40() set
Product (X1 |-> m) is V11() real ext-real set
n * (m |^ X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |-> m is Relation-like NAT -defined Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X1),m) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),{m}:] is finite V40() set
Product (X1 |-> m) is V11() real ext-real set
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq m is Relation-like NAT -defined RAT -valued Function-like finite m -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg m)) is Relation-like Seg m -defined Seg m -valued INT -valued RAT -valued Function-like one-to-one V25( Seg m) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg m),(Seg m):]
[:(Seg m),(Seg m):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg m),(Seg m):] is finite V40() set
Product (idseq m) is V11() real ext-real set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X1 is Relation-like NAT -defined RAT -valued Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X1)) is Relation-like Seg X1 -defined Seg X1 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X1) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),(Seg X1):]
[:(Seg X1),(Seg X1):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),(Seg X1):] is finite V40() set
Product (idseq X1) is V11() real ext-real set
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X1 + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (X1 + 1) is Relation-like NAT -defined RAT -valued Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (X1 + 1) is non empty finite X1 + 1 -element X1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (X1 + 1))) is Relation-like Seg (X1 + 1) -defined Seg (X1 + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (X1 + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (X1 + 1)),(Seg (X1 + 1)):]
[:(Seg (X1 + 1)),(Seg (X1 + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X1 + 1)),(Seg (X1 + 1)):] is finite V40() set
Product (idseq (X1 + 1)) is V11() real ext-real set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
(X1 !) * (X1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
0 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X3 |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ (X3 |-count n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X3 |-count n) |-> X3 is Relation-like NAT -defined Function-like finite X3 |-count n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 |-count n) is finite X3 |-count n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 |-count n)),X3) is Relation-like NAT -defined INT -valued Function-like V29( Seg (X3 |-count n),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 |-count n)),{X3}:]
{X3} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (X3 |-count n)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 |-count n)),{X3}:] is finite V40() set
Product ((X3 |-count n) |-> X3) is V11() real ext-real set
n div (X3 |^ (X3 |-count n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ (X3 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X3 |-count X1) |-> X3 is Relation-like NAT -defined Function-like finite X3 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 |-count X1) is finite X3 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 |-count X1)),X3) is Relation-like NAT -defined INT -valued Function-like V29( Seg (X3 |-count X1),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 |-count X1)),{X3}:]
[:(Seg (X3 |-count X1)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 |-count X1)),{X3}:] is finite V40() set
Product ((X3 |-count X1) |-> X3) is V11() real ext-real set
X1 div (X3 |^ (X3 |-count X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count (X3 |^ (X3 |-count n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |-count n) -' (mm |-count (X3 |^ (X3 |-count n))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count (X3 |^ (X3 |-count X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |-count X1) -' (mm |-count (X3 |^ (X3 |-count X1))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count X1) * (mm |-count X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count X1) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(mm |-count X1) - 0 is V11() real integer ext-real non negative Element of REAL
(X3 |-count n) * (mm |-count X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count n) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(mm |-count n) - 0 is V11() real integer ext-real non negative Element of REAL
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (m |-count n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(m |-count n) |-> m is Relation-like NAT -defined Function-like finite m |-count n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (m |-count n) is finite m |-count n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (m |-count n)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (m |-count n),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m |-count n)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (m |-count n)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m |-count n)),{m}:] is finite V40() set
Product ((m |-count n) |-> m) is V11() real ext-real set
n div (m |^ (m |-count n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |^ (m |-count n)) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
((m |^ (m |-count n)) * 0) + X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
prime_exponents m is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents m) is finite set
card (support (prime_exponents m)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X2 div X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 div X1) * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
prime_exponents X1 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents X1) is finite set
card (support (prime_exponents X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
prime_exponents X2 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents X2) is finite set
card (support (prime_exponents X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X3 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ (X3 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X3 |-count X1) |-> X3 is Relation-like NAT -defined Function-like finite X3 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 |-count X1) is finite X3 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 |-count X1)),X3) is Relation-like NAT -defined INT -valued Function-like V29( Seg (X3 |-count X1),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 |-count X1)),{X3}:]
{X3} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (X3 |-count X1)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 |-count X1)),{X3}:] is finite V40() set
Product ((X3 |-count X1) |-> X3) is V11() real ext-real set
X1 div (X3 |^ (X3 |-count X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 * (X3 |^ (X3 |-count X1)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm gcd X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X3 * XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count X1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 |^ ((X3 |-count X1) + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
((X3 |-count X1) + 1) |-> X3 is Relation-like NAT -defined Function-like finite (X3 |-count X1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((X3 |-count X1) + 1) is non empty finite (X3 |-count X1) + 1 -element (X3 |-count X1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(X3 |-count X1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg ((X3 |-count X1) + 1)),X3) is Relation-like NAT -defined INT -valued Function-like V29( Seg ((X3 |-count X1) + 1),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((X3 |-count X1) + 1)),{X3}:]
[:(Seg ((X3 |-count X1) + 1)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((X3 |-count X1) + 1)),{X3}:] is finite V40() set
Product (((X3 |-count X1) + 1) |-> X3) is V11() real ext-real set
(X3 * XX) * (X3 |^ (X3 |-count X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |^ (X3 |-count X1)) * X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX * ((X3 |^ (X3 |-count X1)) * X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX * (X3 |^ ((X3 |-count X1) + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(prime_exponents X1) . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X3 |^ (X3 |-count X1)) * XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
prime_exponents ((X3 |^ (X3 |-count X1)) * XX) is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents ((X3 |^ (X3 |-count X1)) * XX)) is finite set
card (support (prime_exponents ((X3 |^ (X3 |-count X1)) * XX))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
prime_exponents (X3 |^ (X3 |-count X1)) is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents (X3 |^ (X3 |-count X1))) is finite set
card (support (prime_exponents (X3 |^ (X3 |-count X1)))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
prime_exponents XX is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents XX) is finite set
card (support (prime_exponents XX)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
(card (support (prime_exponents (X3 |^ (X3 |-count X1))))) + (card (support (prime_exponents XX))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
card {X3} is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of omega
(card {X3}) + (card (support (prime_exponents XX))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + (card (support (prime_exponents XX))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
prime_exponents X3 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents X3) is finite set
card (support (prime_exponents X3)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X is set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
mm |-count X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (mm |-count X2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(mm |-count X2) |-> mm is Relation-like NAT -defined Function-like finite mm |-count X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (mm |-count X2) is finite mm |-count X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (mm |-count X2)),mm) is Relation-like NAT -defined INT -valued Function-like V29( Seg (mm |-count X2),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm |-count X2)),{mm}:]
{mm} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (mm |-count X2)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm |-count X2)),{mm}:] is finite V40() set
Product ((mm |-count X2) |-> mm) is V11() real ext-real set
X2 div (mm |^ (mm |-count X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (mm |-count X3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(mm |-count X3) |-> mm is Relation-like NAT -defined Function-like finite mm |-count X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (mm |-count X3) is finite mm |-count X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (mm |-count X3)),mm) is Relation-like NAT -defined INT -valued Function-like V29( Seg (mm |-count X3),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm |-count X3)),{mm}:]
[:(Seg (mm |-count X3)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm |-count X3)),{mm}:] is finite V40() set
Product ((mm |-count X3) |-> mm) is V11() real ext-real set
X3 div (mm |^ (mm |-count X3)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |-count 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |-count n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |-count X3) - (mm |-count X2) is V11() real integer ext-real Element of REAL
(mm |-count X3) -' (mm |-count X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
prime_exponents n1 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents n1) is finite set
card (support (prime_exponents n1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n * n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ ((mm |-count X3) -' (mm |-count X2)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
((mm |-count X3) -' (mm |-count X2)) |-> mm is Relation-like NAT -defined Function-like finite (mm |-count X3) -' (mm |-count X2) -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((mm |-count X3) -' (mm |-count X2)) is finite (mm |-count X3) -' (mm |-count X2) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((mm |-count X3) -' (mm |-count X2))),mm) is Relation-like NAT -defined INT -valued Function-like V29( Seg ((mm |-count X3) -' (mm |-count X2)),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((mm |-count X3) -' (mm |-count X2))),{mm}:]
[:(Seg ((mm |-count X3) -' (mm |-count X2))),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((mm |-count X3) -' (mm |-count X2))),{mm}:] is finite V40() set
Product (((mm |-count X3) -' (mm |-count X2)) |-> mm) is V11() real ext-real set
n2 * (mm |^ ((mm |-count X3) -' (mm |-count X2))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 * (X2 div (mm |^ (mm |-count X2))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2))) |-> mm is Relation-like NAT -defined Function-like finite (mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)) -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2))) is finite (mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)))),mm) is Relation-like NAT -defined INT -valued Function-like V29( Seg ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2))),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)))),{mm}:]
[:(Seg ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)))),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)))),{mm}:] is finite V40() set
Product (((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2))) |-> mm) is V11() real ext-real set
(n2 * (X2 div (mm |^ (mm |-count X2)))) * (mm |^ ((mm |-count X2) + ((mm |-count X3) -' (mm |-count X2)))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |^ (mm |-count X2)) * (mm |^ ((mm |-count X3) -' (mm |-count X2))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 * (X2 div (mm |^ (mm |-count X2)))) * ((mm |^ (mm |-count X2)) * (mm |^ ((mm |-count X3) -' (mm |-count X2)))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 div (mm |^ (mm |-count X2))) * (mm |^ (mm |-count X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 * ((X2 div (mm |^ (mm |-count X2))) * (mm |^ (mm |-count X2))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n2 * ((X2 div (mm |^ (mm |-count X2))) * (mm |^ (mm |-count X2)))) * (mm |^ ((mm |-count X3) -' (mm |-count X2))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n2 * X2) * (mm |^ ((mm |-count X3) -' (mm |-count X2))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * (n2 * (mm |^ ((mm |-count X3) -' (mm |-count X2)))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
prime_exponents X3 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents X3) is finite set
card (support (prime_exponents X3)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
prime_exponents X2 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents X2) is finite set
card (support (prime_exponents X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X1 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
prime_exponents X1 is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() finite-support set
support (prime_exponents X1) is finite set
X is set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(prime_exponents X1) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |-count X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(prime_exponents X2) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * (X1 * X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |^ (n |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(n |-count X1) |-> n is Relation-like NAT -defined Function-like finite n |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n |-count X1) is finite n |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n |-count X1)),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n |-count X1),{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n |-count X1)),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n |-count X1)),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n |-count X1)),{n}:] is finite V40() set
Product ((n |-count X1) |-> n) is V11() real ext-real set
m |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (m |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(m |-count X1) |-> m is Relation-like NAT -defined Function-like finite m |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (m |-count X1) is finite m |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (m |-count X1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (m |-count X1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m |-count X1)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (m |-count X1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m |-count X1)),{m}:] is finite V40() set
Product ((m |-count X1) |-> m) is V11() real ext-real set
n to_power (n |-count X1) is V11() real ext-real set
n |-count (n |^ (n |-count X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - 1 is V11() real integer ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-> X1 is Relation-like NAT -defined Function-like finite X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X3 is finite X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X3),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X3,{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X3),{X1}:]
{X1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X3),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X3),{X1}:] is finite V40() set
Product (X3 |-> X1) is V11() real ext-real set
m * (X1 |^ X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (n -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) |-> mm is Relation-like NAT -defined Function-like finite n -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n -' 1) is finite n -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n -' 1)),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n -' 1),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n -' 1)),{mm}:]
{mm} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n -' 1)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n -' 1)),{mm}:] is finite V40() set
Product ((n -' 1) |-> mm) is V11() real ext-real set
(mm |^ (n -' 1)) mod n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) div X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ ((n -' 1) div X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n -' 1) div X1) |-> mm is Relation-like NAT -defined Function-like finite (n -' 1) div X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((n -' 1) div X1) is finite (n -' 1) div X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((n -' 1) div X1)),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n -' 1) div X1),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n -' 1) div X1)),{mm}:]
[:(Seg ((n -' 1) div X1)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n -' 1) div X1)),{mm}:] is finite V40() set
Product (((n -' 1) div X1) |-> mm) is V11() real ext-real set
(mm |^ ((n -' 1) div X1)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X mod (X1 |^ X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n - 1) + 1 is V11() real integer ext-real Element of REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 * n is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(0 * n) mod n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |^ ((n -' 1) div X1)) - 1 is V11() real integer ext-real Element of REAL
X3 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 - 1 is V11() real integer ext-real Element of REAL
(X3 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 |^ ((X3 -' 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X3 -' 1) + 1) |-> X1 is Relation-like NAT -defined Function-like finite (X3 -' 1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((X3 -' 1) + 1) is non empty finite (X3 -' 1) + 1 -element (X3 -' 1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(X3 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg ((X3 -' 1) + 1)),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((X3 -' 1) + 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((X3 -' 1) + 1)),{X1}:]
[:(Seg ((X3 -' 1) + 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((X3 -' 1) + 1)),{X1}:] is finite V40() set
Product (((X3 -' 1) + 1) |-> X1) is V11() real ext-real set
(X1 |^ ((X3 -' 1) + 1)) * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X1 |^ ((X3 -' 1) + 1)) * m) div X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ (X3 -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 -' 1) |-> X1 is Relation-like NAT -defined Function-like finite X3 -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 -' 1) is finite X3 -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 -' 1)),X1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (X3 -' 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 -' 1)),{X1}:]
[:(Seg (X3 -' 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 -' 1)),{X1}:] is finite V40() set
Product ((X3 -' 1) |-> X1) is V11() real ext-real set
X1 * (X1 |^ (X3 -' 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 * (X1 |^ (X3 -' 1))) * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X1 * (X1 |^ (X3 -' 1))) * m) div X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 |^ (X3 -' 1)) * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 * ((X1 |^ (X3 -' 1)) * m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 * ((X1 |^ (X3 -' 1)) * m)) div X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * (X1 |^ (X3 -' 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |^ ((n -' 1) div X1)) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X - 1 is V11() real integer ext-real Element of REAL
(X -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n * X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(mm |^ (n -' 1)) mod X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
order (mm,X) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * (X1 |^ ((X3 -' 1) + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X -' 1) mod (X1 |^ X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - 1 is V11() real integer ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n - 1) + 1 is V11() real integer ext-real Element of REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 - 1 is V11() real integer ext-real Element of REAL
X2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 - 1 is V11() real integer ext-real Element of REAL
prime_exponents m is Relation-like SetPrimes -defined RAT -valued Function-like V25( SetPrimes ) V59() V60() V61() V62() set
support (prime_exponents m) is set
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ (X3 |-count m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count m) |-> X3 is Relation-like NAT -defined Function-like finite X3 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 |-count m) is finite X3 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 |-count m)),X3) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (X3 |-count m),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 |-count m)),{X3}:]
{X3} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (X3 |-count m)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 |-count m)),{X3}:] is finite V40() set
Product ((X3 |-count m) |-> X3) is V11() real ext-real set
X2 mod (X3 |^ (X3 |-count m)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) div X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (n -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) |-> mm is Relation-like NAT -defined Function-like finite n -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n -' 1) is finite n -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n -' 1)),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n -' 1),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n -' 1)),{mm}:]
{mm} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n -' 1)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n -' 1)),{mm}:] is finite V40() set
Product ((n -' 1) |-> mm) is V11() real ext-real set
(mm |^ (n -' 1)) mod n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ ((n -' 1) div X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n -' 1) div X3) |-> mm is Relation-like NAT -defined Function-like finite (n -' 1) div X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((n -' 1) div X3) is finite (n -' 1) div X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((n -' 1) div X3)),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n -' 1) div X3),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n -' 1) div X3)),{mm}:]
[:(Seg ((n -' 1) div X3)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n -' 1) div X3)),{mm}:] is finite V40() set
Product (((n -' 1) div X3) |-> mm) is V11() real ext-real set
(mm |^ ((n -' 1) div X3)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((mm |^ ((n -' 1) div X3)) -' 1) gcd n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n gcd ((mm |^ ((n -' 1) div X3)) -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(X3 |^ (X3 |-count m)) * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(XX * X1) * (X3 |^ (X3 |-count m)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count (X2 -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(prime_exponents m) . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ (X3 |-count m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count m) |-> X3 is Relation-like NAT -defined Function-like finite X3 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 |-count m) is finite X3 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (X3 |-count m)),X3) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (X3 |-count m),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 |-count m)),{X3}:]
{X3} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (X3 |-count m)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 |-count m)),{X3}:] is finite V40() set
Product ((X3 |-count m) |-> X3) is V11() real ext-real set
X2 mod (X3 |^ (X3 |-count m)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count (X3 |^ (X3 |-count m)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(prime_exponents m) . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X2 - 1) + 1 is V11() real integer ext-real Element of REAL
X2 ^2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
K37(X2,X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m ^2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
K37(m,m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 - 1 is V11() real integer ext-real Element of REAL
m - 1 is V11() real integer ext-real Element of REAL
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n + (m - 1) is V11() real integer ext-real Element of REAL
m * (X1 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + (n - 1) is V11() real integer ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - 1 is V11() real integer ext-real Element of REAL
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X |^ X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |-> X is Relation-like NAT -defined Function-like finite X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X2 is finite X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X2),X) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg X2,{X}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X2),{X}:]
{X} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X2),{X}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X2),{X}:] is finite V40() set
Product (X2 |-> X) is V11() real ext-real set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X |^ X2) * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ (n -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) |-> X3 is Relation-like NAT -defined Function-like finite n -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n -' 1) is finite n -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n -' 1)),X3) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n -' 1),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n -' 1)),{X3}:]
{X3} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n -' 1)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n -' 1)),{X3}:] is finite V40() set
Product ((n -' 1) |-> X3) is V11() real ext-real set
(X3 |^ (n -' 1)) mod n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) div X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |^ ((n -' 1) div X) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n -' 1) div X) |-> X3 is Relation-like NAT -defined Function-like finite (n -' 1) div X -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((n -' 1) div X) is finite (n -' 1) div X -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((n -' 1) div X)),X3) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n -' 1) div X),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n -' 1) div X)),{X3}:]
[:(Seg ((n -' 1) div X)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n -' 1) div X)),{X3}:] is finite V40() set
Product (((n -' 1) div X) |-> X3) is V11() real ext-real set
(X3 |^ ((n -' 1) div X)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X3 |^ ((n -' 1) div X)) -' 1) gcd n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) div mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ (n -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' 1) |-> XX is Relation-like NAT -defined Function-like finite n -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg (n -' 1)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n -' 1),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n -' 1)),{XX}:]
{XX} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n -' 1)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n -' 1)),{XX}:] is finite V40() set
Product ((n -' 1) |-> XX) is V11() real ext-real set
(XX |^ (n -' 1)) mod n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ ((n -' 1) div X) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n -' 1) div X) |-> XX is Relation-like NAT -defined Function-like finite (n -' 1) div X -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg ((n -' 1) div X)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n -' 1) div X),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n -' 1) div X)),{XX}:]
[:(Seg ((n -' 1) div X)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n -' 1) div X)),{XX}:] is finite V40() set
Product (((n -' 1) div X) |-> XX) is V11() real ext-real set
(XX |^ ((n -' 1) div X)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((XX |^ ((n -' 1) div X)) -' 1) gcd n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ ((n -' 1) div mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n -' 1) div mm) |-> XX is Relation-like NAT -defined Function-like finite (n -' 1) div mm -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((n -' 1) div mm) is finite (n -' 1) div mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((n -' 1) div mm)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((n -' 1) div mm),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((n -' 1) div mm)),{XX}:]
[:(Seg ((n -' 1) div mm)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((n -' 1) div mm)),{XX}:] is finite V40() set
Product (((n -' 1) div mm) |-> XX) is V11() real ext-real set
(XX |^ ((n -' 1) div mm)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((XX |^ ((n -' 1) div mm)) -' 1) gcd n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
25 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
5 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 3) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 5) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 3) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 6) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 4) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
12 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
14 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
15 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
20 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
21 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
22 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
24 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
26 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
27 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
28 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 9) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 6) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
23 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 11) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 7) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
29 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
28 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
27 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
12 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
6 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
9 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
10 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
20 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
14 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
15 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
16 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
18 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
21 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
22 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
24 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
25 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
26 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
12 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
20 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
27 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
841 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
29 * 29 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
37 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 18) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 12 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 12) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 2) + 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 3) + 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 1) + 18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 2) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 1) + 14 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 5) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 7) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
43 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 21 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 21) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 14 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 14) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 3) + 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 3) + 10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 2) + 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 2) + 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 1) + 20 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 6) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 8) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
83 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
41 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 41 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 41) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 27 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 27) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 6) + 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 7) + 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 4) + 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 4) + 15 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 3) + 14 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 11) + 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 16) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
139 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
69 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 69 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 69) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
46 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 46 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 46) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 10) + 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 12 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 12) + 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 7) + 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 8) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 6) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 19 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 19) + 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 27 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 27) + 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
163 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
81 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 81 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 81) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
54 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 54 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 54) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 12 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 12) + 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 14 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 14) + 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 8) + 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 9) + 10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 7) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 23 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 23) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 32) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
317 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
158 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 158 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 158) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
105 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 105 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 105) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 24 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 24) + 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 28 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 28) + 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 16) + 13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 18) + 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 13) + 18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
45 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 45 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 45) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
63 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 63 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 63) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
631 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
315 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 315 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 315) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
210 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 210 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 210) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
48 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 * 48 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 48) + 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
57 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
11 * 57 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 57) + 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
33 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 * 33 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 33) + 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
17 * 37 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(17 * 37) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
23 * 27 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(23 * 27) + 10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
90 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
7 * 90 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(7 * 90) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
126 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 * 126 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 126) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1259 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1038 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1038 * 1038 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
855 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 855 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
999 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 855) + 999 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1038 * 1038) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
744 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
999 * 744 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
590 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 590 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
446 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 590) + 446 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
847 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
847 * 847 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
569 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 569 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 569) + 1038 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(847 * 847) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1136 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1038 * 1136 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
936 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 936 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 936) + 744 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
999 * 999 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
792 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 792 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
873 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 792) + 873 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(999 * 999) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
765 * 446 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
271 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 271 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 271) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
869 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 1) + 869 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
847 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
870 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 2) + 870 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
434 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
434 * 434 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
149 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 149 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 149) + 765 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(434 * 434) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
34 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 34 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
34 |-> 2 is Relation-like NAT -defined Function-like finite 34 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 34 is non empty finite 34 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 34),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 34,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 34),{2}:]
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 34),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 34),{2}:] is finite V40() set
Product (34 |-> 2) is V11() real ext-real set
(2 |^ 34) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 34) - 1 is V11() real integer ext-real Element of REAL
873 * 873 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
605 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 605 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 605) + 434 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(873 * 873) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1259 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1259 - 1 is V11() real integer ext-real Element of REAL
1258 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
68 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
68 * 68 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 3) + 847 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(68 * 68) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
847 * 1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
688 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 688 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 688) + 1136 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 * 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
52 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1259 * 52 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 * 52) + 68 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 * 256) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
37 * 34 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
37 |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 |-> 37 is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),37) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1,{37}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{37}:]
{37} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 1),{37}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{37}:] is finite V40() set
Product (1 |-> 37) is V11() real ext-real set
2 |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 |-> 2 is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{2}:]
[:(Seg 1),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{2}:] is finite V40() set
Product (1 |-> 2) is V11() real ext-real set
(2 |^ 1) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |-> 2 is Relation-like NAT -defined Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg 2),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2),{2}:]
[:(Seg 2),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2),{2}:] is finite V40() set
Product (2 |-> 2) is V11() real ext-real set
(2 |^ 2) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 1) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 1) is non empty finite 2 * 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 1)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 1),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 1)),{2}:]
[:(Seg (2 * 1)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 1)),{2}:] is finite V40() set
Product ((2 * 1) |-> 2) is V11() real ext-real set
(2 |^ (2 * 1)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 |-> 2 is Relation-like NAT -defined Function-like finite 4 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 4 is non empty finite 4 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 4),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 4,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 4),{2}:]
[:(Seg 4),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 4),{2}:] is finite V40() set
Product (4 |-> 2) is V11() real ext-real set
(2 |^ 4) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ (2 * 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 2) is non empty finite 2 * 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 2)),{2}:]
[:(Seg (2 * 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 2)),{2}:] is finite V40() set
Product ((2 * 2) |-> 2) is V11() real ext-real set
(2 |^ (2 * 2)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4 * 4) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8 |-> 2 is Relation-like NAT -defined Function-like finite 8 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 8 is non empty finite 8 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 8),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 8,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 8),{2}:]
[:(Seg 8),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 8),{2}:] is finite V40() set
Product (8 |-> 2) is V11() real ext-real set
(2 |^ 8) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 4) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 4) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 4 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 4) is non empty finite 2 * 4 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 4)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 4),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 4)),{2}:]
[:(Seg (2 * 4)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 4)),{2}:] is finite V40() set
Product ((2 * 4) |-> 2) is V11() real ext-real set
(2 |^ (2 * 4)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
16 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(16 * 16) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
16 |-> 2 is Relation-like NAT -defined Function-like finite 16 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 16 is non empty finite 16 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 16),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 16,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 16),{2}:]
[:(Seg 16),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 16),{2}:] is finite V40() set
Product (16 |-> 2) is V11() real ext-real set
(2 |^ 16) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 8) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 8) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 8 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 8) is non empty finite 2 * 8 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 8)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 8),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 8)),{2}:]
[:(Seg (2 * 8)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 8)),{2}:] is finite V40() set
Product ((2 * 8) |-> 2) is V11() real ext-real set
(2 |^ (2 * 8)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
32 |-> 2 is Relation-like NAT -defined Function-like finite 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 32 is non empty finite 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 32),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 32,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 32),{2}:]
[:(Seg 32),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 32),{2}:] is finite V40() set
Product (32 |-> 2) is V11() real ext-real set
(2 |^ 32) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 16) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 16) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 16 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 16) is non empty finite 2 * 16 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 16)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 16),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 16)),{2}:]
[:(Seg (2 * 16)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 16)),{2}:] is finite V40() set
Product ((2 * 16) |-> 2) is V11() real ext-real set
(2 |^ (2 * 16)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 34) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
32 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (32 + 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(32 + 2) |-> 2 is Relation-like NAT -defined Function-like finite 32 + 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (32 + 2) is non empty finite 32 + 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (32 + 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (32 + 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (32 + 2)),{2}:]
[:(Seg (32 + 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (32 + 2)),{2}:] is finite V40() set
Product ((32 + 2) |-> 2) is V11() real ext-real set
(2 |^ (32 + 2)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 32) * (2 |^ 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 32) * (2 |^ 2)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(847 * 4) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
64 |-> 2 is Relation-like NAT -defined Function-like finite 64 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 64 is non empty finite 64 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 64),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 64,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 64),{2}:]
[:(Seg 64),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 64),{2}:] is finite V40() set
Product (64 |-> 2) is V11() real ext-real set
(2 |^ 64) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 32) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 32) is non empty finite 2 * 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 32)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 32),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 32)),{2}:]
[:(Seg (2 * 32)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 32)),{2}:] is finite V40() set
Product ((2 * 32) |-> 2) is V11() real ext-real set
(2 |^ (2 * 32)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(37 * 34) + 0 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 -' 1) div 37 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ ((1259 -' 1) div 37) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((1259 -' 1) div 37) |-> 2 is Relation-like NAT -defined Function-like finite (1259 -' 1) div 37 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((1259 -' 1) div 37) is finite (1259 -' 1) div 37 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((1259 -' 1) div 37)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((1259 -' 1) div 37),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((1259 -' 1) div 37)),{2}:]
[:(Seg ((1259 -' 1) div 37)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((1259 -' 1) div 37)),{2}:] is finite V40() set
Product (((1259 -' 1) div 37) |-> 2) is V11() real ext-real set
(2 |^ ((1259 -' 1) div 37)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ ((1259 -' 1) div 37)) -' 1) gcd 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 34) -' 1) gcd 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 34) -' 1) + (1259 * 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 |^ 34) -' 1) + (1259 * 1)) gcd 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 34) + 1258 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 34) + 1258) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1259 gcd (((2 |^ 34) + 1258) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1258 mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
870 + (1258 mod 1259) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(870 + (1258 mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1259 gcd ((870 + (1258 mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
870 + 1258 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(870 + 1258) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1259 gcd ((870 + 1258) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
869 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
390 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(869 * 1) + 390 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((869 * 1) + 390) gcd 869 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
390 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
89 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(390 * 2) + 89 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
390 gcd ((390 * 2) + 89) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
89 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(89 * 4) + 34 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((89 * 4) + 34) gcd 89 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
34 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(34 * 2) + 21 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
34 gcd ((34 * 2) + 21) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
21 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(21 * 1) + 13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((21 * 1) + 13) gcd 21 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
13 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(13 * 1) + 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
13 gcd ((13 * 1) + 8) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
8 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(8 * 1) + 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((8 * 1) + 5) gcd 8 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
5 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 1) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 gcd ((5 * 1) + 3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((3 * 1) + 2) gcd 3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 gcd ((2 * 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 gcd 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
128 |-> 2 is Relation-like NAT -defined Function-like finite 128 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 128 is non empty finite 128 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 128),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 128,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 128),{2}:]
[:(Seg 128),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 128),{2}:] is finite V40() set
Product (128 |-> 2) is V11() real ext-real set
(2 |^ 128) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 64) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 64) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 64 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 64) is non empty finite 2 * 64 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 64)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 64),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 64)),{2}:]
[:(Seg (2 * 64)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 64)),{2}:] is finite V40() set
Product ((2 * 64) |-> 2) is V11() real ext-real set
(2 |^ (2 * 64)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 |-> 2 is Relation-like NAT -defined Function-like finite 256 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 256 is non empty finite 256 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 256),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 256,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 256),{2}:]
[:(Seg 256),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 256),{2}:] is finite V40() set
Product (256 |-> 2) is V11() real ext-real set
(2 |^ 256) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 128) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 128) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 128 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 128) is non empty finite 2 * 128 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 128)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 128),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 128)),{2}:]
[:(Seg (2 * 128)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 128)),{2}:] is finite V40() set
Product ((2 * 128) |-> 2) is V11() real ext-real set
(2 |^ (2 * 128)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
512 |-> 2 is Relation-like NAT -defined Function-like finite 512 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 512 is non empty finite 512 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 512),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 512,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 512),{2}:]
[:(Seg 512),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 512),{2}:] is finite V40() set
Product (512 |-> 2) is V11() real ext-real set
(2 |^ 512) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 256) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 256) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 256 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 256) is non empty finite 2 * 256 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 256)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 256),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 256)),{2}:]
[:(Seg (2 * 256)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 256)),{2}:] is finite V40() set
Product ((2 * 256) |-> 2) is V11() real ext-real set
(2 |^ (2 * 256)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1024 |-> 2 is Relation-like NAT -defined Function-like finite 1024 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 1024 is non empty finite 1024 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 1024),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1024,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1024),{2}:]
[:(Seg 1024),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1024),{2}:] is finite V40() set
Product (1024 |-> 2) is V11() real ext-real set
(2 |^ 1024) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 512) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 512) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 512 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 512) is non empty finite 2 * 512 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 512)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 512),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 512)),{2}:]
[:(Seg (2 * 512)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 512)),{2}:] is finite V40() set
Product ((2 * 512) |-> 2) is V11() real ext-real set
(2 |^ (2 * 512)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ (1259 -' 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1259 -' 1) |-> 2 is Relation-like NAT -defined Function-like finite 1259 -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1259 -' 1) is finite 1259 -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (1259 -' 1)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (1259 -' 1),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1259 -' 1)),{2}:]
[:(Seg (1259 -' 1)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1259 -' 1)),{2}:] is finite V40() set
Product ((1259 -' 1) |-> 2) is V11() real ext-real set
(2 |^ (1259 -' 1)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
234 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1024 + 234 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (1024 + 234) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1024 + 234) |-> 2 is Relation-like NAT -defined Function-like finite 1024 + 234 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1024 + 234) is non empty finite 1024 + 234 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (1024 + 234)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (1024 + 234),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1024 + 234)),{2}:]
[:(Seg (1024 + 234)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1024 + 234)),{2}:] is finite V40() set
Product ((1024 + 234) |-> 2) is V11() real ext-real set
(2 |^ (1024 + 234)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 234 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
234 |-> 2 is Relation-like NAT -defined Function-like finite 234 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 234 is non empty finite 234 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 234),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 234,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 234),{2}:]
[:(Seg 234),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 234),{2}:] is finite V40() set
Product (234 |-> 2) is V11() real ext-real set
(2 |^ 1024) * (2 |^ 234) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 1024) * (2 |^ 234)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
106 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
128 + 106 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (128 + 106) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(128 + 106) |-> 2 is Relation-like NAT -defined Function-like finite 128 + 106 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (128 + 106) is non empty finite 128 + 106 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (128 + 106)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (128 + 106),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (128 + 106)),{2}:]
[:(Seg (128 + 106)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (128 + 106)),{2}:] is finite V40() set
Product ((128 + 106) |-> 2) is V11() real ext-real set
(2 |^ (128 + 106)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 1024) mod 1259) * ((2 |^ (128 + 106)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((2 |^ 1024) mod 1259) * ((2 |^ (128 + 106)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 106 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
106 |-> 2 is Relation-like NAT -defined Function-like finite 106 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 106 is non empty finite 106 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 106),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 106,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 106),{2}:]
[:(Seg 106),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 106),{2}:] is finite V40() set
Product (106 |-> 2) is V11() real ext-real set
(2 |^ 128) * (2 |^ 106) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 128) * (2 |^ 106)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * (((2 |^ 128) * (2 |^ 106)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * (((2 |^ 128) * (2 |^ 106)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
42 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
64 + 42 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (64 + 42) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(64 + 42) |-> 2 is Relation-like NAT -defined Function-like finite 64 + 42 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (64 + 42) is non empty finite 64 + 42 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (64 + 42)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (64 + 42),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (64 + 42)),{2}:]
[:(Seg (64 + 42)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (64 + 42)),{2}:] is finite V40() set
Product ((64 + 42) |-> 2) is V11() real ext-real set
(2 |^ (64 + 42)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((2 |^ (64 + 42)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((2 |^ (64 + 42)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((2 |^ (64 + 42)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((2 |^ (64 + 42)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 42 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
42 |-> 2 is Relation-like NAT -defined Function-like finite 42 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 42 is non empty finite 42 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 42),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 42,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 42),{2}:]
[:(Seg 42),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 42),{2}:] is finite V40() set
Product (42 |-> 2) is V11() real ext-real set
(2 |^ 64) * (2 |^ 42) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 64) * (2 |^ 42)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * (((2 |^ 64) * (2 |^ 42)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * (((2 |^ 64) * (2 |^ 42)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * (((2 |^ 64) * (2 |^ 42)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * (((2 |^ 64) * (2 |^ 42)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
32 + 10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (32 + 10) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(32 + 10) |-> 2 is Relation-like NAT -defined Function-like finite 32 + 10 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (32 + 10) is non empty finite 32 + 10 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (32 + 10)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (32 + 10),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (32 + 10)),{2}:]
[:(Seg (32 + 10)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (32 + 10)),{2}:] is finite V40() set
Product ((32 + 10) |-> 2) is V11() real ext-real set
(2 |^ (32 + 10)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1038 * ((2 |^ (32 + 10)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * ((2 |^ (32 + 10)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * ((2 |^ (32 + 10)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * ((2 |^ (32 + 10)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * ((2 |^ (32 + 10)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * ((2 |^ (32 + 10)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
10 |-> 2 is Relation-like NAT -defined Function-like finite 10 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 10 is non empty finite 10 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 10),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 10,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 10),{2}:]
[:(Seg 10),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 10),{2}:] is finite V40() set
Product (10 |-> 2) is V11() real ext-real set
(2 |^ 32) * (2 |^ 10) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 32) * (2 |^ 10)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1038 * (((2 |^ 32) * (2 |^ 10)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * (((2 |^ 32) * (2 |^ 10)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * (((2 |^ 32) * (2 |^ 10)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * (((2 |^ 32) * (2 |^ 10)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * (((2 |^ 32) * (2 |^ 10)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * (((2 |^ 32) * (2 |^ 10)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
8 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (8 + 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(8 + 2) |-> 2 is Relation-like NAT -defined Function-like finite 8 + 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (8 + 2) is non empty finite 8 + 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (8 + 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (8 + 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (8 + 2)),{2}:]
[:(Seg (8 + 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (8 + 2)),{2}:] is finite V40() set
Product ((8 + 2) |-> 2) is V11() real ext-real set
(2 |^ (8 + 2)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
847 * ((2 |^ (8 + 2)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1038 * ((847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * ((847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * ((847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * ((847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * ((847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * ((847 * ((2 |^ (8 + 2)) mod 1259)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 8) * (2 |^ 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 8) * (2 |^ 2)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
847 * (((2 |^ 8) * (2 |^ 2)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1038 * ((847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * ((847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * ((847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * ((847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * ((847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * ((847 * (((2 |^ 8) * (2 |^ 2)) mod 1259)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
256 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 * 4) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
847 * ((256 * 4) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(847 * ((256 * 4) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1038 * ((847 * ((256 * 4) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * ((847 * ((256 * 4) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * ((847 * ((256 * 4) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * ((847 * ((256 * 4) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * ((847 * ((256 * 4) mod 1259)) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * ((847 * ((256 * 4) mod 1259)) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(847 * 1024) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1038 * ((847 * 1024) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * ((847 * 1024) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * ((847 * 1024) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * ((847 * 1024) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * ((847 * 1024) mod 1259)) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * ((847 * 1024) mod 1259)) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1038 * 1136) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
999 * ((1038 * 1136) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * ((1038 * 1136) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * ((1038 * 1136) mod 1259)) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * ((1038 * 1136) mod 1259)) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(999 * 744) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
765 * ((999 * 744) mod 1259) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * ((999 * 744) mod 1259)) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(765 * 446) mod 1259 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2503 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
733 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
733 * 733 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
214 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 214 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1647 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 214) + 1647 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(733 * 733) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4334 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1831 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 1) + 1831 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
458 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
458 * 458 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 83 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2015 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 83) + 2015 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(458 * 458) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
359 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
359 * 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
449 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 9) + 449 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
359 * 359 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
51 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 51 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1228 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 51) + 1228 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(359 * 359) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
712 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1178 * 712 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
335 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 335 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
231 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 335) + 231 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2015 * 2015 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1622 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 1622 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 1622) + 359 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2015 * 2015) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * 449 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
220 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 220 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 220) + 712 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1228 * 1228 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
602 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 602 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 602) + 1178 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1228 * 1228) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * 231 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
152 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 152 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 152) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1178 * 1178 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
554 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 554 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1022 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 554) + 1022 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1178 * 1178) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2503 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2503 - 1 is V11() real integer ext-real Element of REAL
2502 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1022 * 1022 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
417 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 417 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 417) + 733 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1022 * 1022) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
18 |-> 2 is Relation-like NAT -defined Function-like finite 18 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 18 is non empty finite 18 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 18),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 18,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 18),{2}:]
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 18),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 18),{2}:] is finite V40() set
Product (18 |-> 2) is V11() real ext-real set
(2 |^ 18) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 18) - 1 is V11() real integer ext-real Element of REAL
256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 * 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2503 * 26 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 * 26) + 458 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 * 256) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
139 * 18 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
139 |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 |-> 139 is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),139) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1,{139}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{139}:]
{139} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 1),{139}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{139}:] is finite V40() set
Product (1 |-> 139) is V11() real ext-real set
2 |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 |-> 2 is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{2}:]
[:(Seg 1),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{2}:] is finite V40() set
Product (1 |-> 2) is V11() real ext-real set
(2 |^ 1) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |-> 2 is Relation-like NAT -defined Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg 2),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2),{2}:]
[:(Seg 2),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2),{2}:] is finite V40() set
Product (2 |-> 2) is V11() real ext-real set
(2 |^ 2) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 1) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 1) is non empty finite 2 * 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 1)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 1),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 1)),{2}:]
[:(Seg (2 * 1)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 1)),{2}:] is finite V40() set
Product ((2 * 1) |-> 2) is V11() real ext-real set
(2 |^ (2 * 1)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 |-> 2 is Relation-like NAT -defined Function-like finite 4 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 4 is non empty finite 4 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 4),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 4,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 4),{2}:]
[:(Seg 4),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 4),{2}:] is finite V40() set
Product (4 |-> 2) is V11() real ext-real set
(2 |^ 4) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ (2 * 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 2) is non empty finite 2 * 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 2)),{2}:]
[:(Seg (2 * 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 2)),{2}:] is finite V40() set
Product ((2 * 2) |-> 2) is V11() real ext-real set
(2 |^ (2 * 2)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4 * 4) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8 |-> 2 is Relation-like NAT -defined Function-like finite 8 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 8 is non empty finite 8 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 8),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 8,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 8),{2}:]
[:(Seg 8),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 8),{2}:] is finite V40() set
Product (8 |-> 2) is V11() real ext-real set
(2 |^ 8) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 4) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 4) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 4 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 4) is non empty finite 2 * 4 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 4)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 4),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 4)),{2}:]
[:(Seg (2 * 4)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 4)),{2}:] is finite V40() set
Product ((2 * 4) |-> 2) is V11() real ext-real set
(2 |^ (2 * 4)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
16 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(16 * 16) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
16 |-> 2 is Relation-like NAT -defined Function-like finite 16 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 16 is non empty finite 16 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 16),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 16,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 16),{2}:]
[:(Seg 16),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 16),{2}:] is finite V40() set
Product (16 |-> 2) is V11() real ext-real set
(2 |^ 16) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 8) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 8) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 8 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 8) is non empty finite 2 * 8 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 8)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 8),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 8)),{2}:]
[:(Seg (2 * 8)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 8)),{2}:] is finite V40() set
Product ((2 * 8) |-> 2) is V11() real ext-real set
(2 |^ (2 * 8)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
32 |-> 2 is Relation-like NAT -defined Function-like finite 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 32 is non empty finite 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 32),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 32,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 32),{2}:]
[:(Seg 32),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 32),{2}:] is finite V40() set
Product (32 |-> 2) is V11() real ext-real set
(2 |^ 32) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 16) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 16) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 16 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 16) is non empty finite 2 * 16 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 16)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 16),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 16)),{2}:]
[:(Seg (2 * 16)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 16)),{2}:] is finite V40() set
Product ((2 * 16) |-> 2) is V11() real ext-real set
(2 |^ (2 * 16)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
64 |-> 2 is Relation-like NAT -defined Function-like finite 64 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 64 is non empty finite 64 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 64),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 64,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 64),{2}:]
[:(Seg 64),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 64),{2}:] is finite V40() set
Product (64 |-> 2) is V11() real ext-real set
(2 |^ 64) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 32) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 32) is non empty finite 2 * 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 32)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 32),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 32)),{2}:]
[:(Seg (2 * 32)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 32)),{2}:] is finite V40() set
Product ((2 * 32) |-> 2) is V11() real ext-real set
(2 |^ (2 * 32)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 18) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
16 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (16 + 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(16 + 2) |-> 2 is Relation-like NAT -defined Function-like finite 16 + 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (16 + 2) is non empty finite 16 + 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (16 + 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (16 + 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (16 + 2)),{2}:]
[:(Seg (16 + 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (16 + 2)),{2}:] is finite V40() set
Product ((16 + 2) |-> 2) is V11() real ext-real set
(2 |^ (16 + 2)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 16) * (2 |^ 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 16) * (2 |^ 2)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
458 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(458 * 4) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1832 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
128 |-> 2 is Relation-like NAT -defined Function-like finite 128 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 128 is non empty finite 128 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 128),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 128,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 128),{2}:]
[:(Seg 128),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 128),{2}:] is finite V40() set
Product (128 |-> 2) is V11() real ext-real set
(2 |^ 128) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 64) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 64) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 64 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 64) is non empty finite 2 * 64 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 64)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 64),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 64)),{2}:]
[:(Seg (2 * 64)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 64)),{2}:] is finite V40() set
Product ((2 * 64) |-> 2) is V11() real ext-real set
(2 |^ (2 * 64)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 |-> 2 is Relation-like NAT -defined Function-like finite 256 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 256 is non empty finite 256 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 256),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 256,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 256),{2}:]
[:(Seg 256),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 256),{2}:] is finite V40() set
Product (256 |-> 2) is V11() real ext-real set
(2 |^ 256) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 128) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 128) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 128 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 128) is non empty finite 2 * 128 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 128)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 128),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 128)),{2}:]
[:(Seg (2 * 128)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 128)),{2}:] is finite V40() set
Product ((2 * 128) |-> 2) is V11() real ext-real set
(2 |^ (2 * 128)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(139 * 18) + 0 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 -' 1) div 139 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ ((2503 -' 1) div 139) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2503 -' 1) div 139) |-> 2 is Relation-like NAT -defined Function-like finite (2503 -' 1) div 139 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((2503 -' 1) div 139) is finite (2503 -' 1) div 139 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((2503 -' 1) div 139)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((2503 -' 1) div 139),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((2503 -' 1) div 139)),{2}:]
[:(Seg ((2503 -' 1) div 139)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((2503 -' 1) div 139)),{2}:] is finite V40() set
Product (((2503 -' 1) div 139) |-> 2) is V11() real ext-real set
(2 |^ ((2503 -' 1) div 139)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ ((2503 -' 1) div 139)) -' 1) gcd 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 18) -' 1) gcd 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 18) -' 1) + (2503 * 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 |^ 18) -' 1) + (2503 * 1)) gcd 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 18) + 2502 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 18) + 2502) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2503 gcd (((2 |^ 18) + 2502) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2502 mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1832 + (2502 mod 2503) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1832 + (2502 mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2503 gcd ((1832 + (2502 mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1832 + 2502 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1832 + 2502) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2503 gcd ((1832 + 2502) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1831 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
672 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1831 * 1) + 672 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((1831 * 1) + 672) gcd 1831 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
672 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
487 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(672 * 2) + 487 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
672 gcd ((672 * 2) + 487) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
487 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
185 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(487 * 1) + 185 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((487 * 1) + 185) gcd 487 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
185 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
117 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(185 * 2) + 117 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
185 gcd ((185 * 2) + 117) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
117 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
68 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(117 * 1) + 68 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((117 * 1) + 68) gcd 117 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
68 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
49 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(68 * 1) + 49 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
68 gcd ((68 * 1) + 49) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
49 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(49 * 1) + 19 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((49 * 1) + 19) gcd 49 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
19 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(19 * 2) + 11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
19 gcd ((19 * 2) + 11) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
11 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(11 * 1) + 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((11 * 1) + 8) gcd 11 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
8 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(8 * 1) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8 gcd ((8 * 1) + 3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 2) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((3 * 2) + 2) gcd 3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 gcd ((2 * 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 gcd 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
512 |-> 2 is Relation-like NAT -defined Function-like finite 512 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 512 is non empty finite 512 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 512),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 512,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 512),{2}:]
[:(Seg 512),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 512),{2}:] is finite V40() set
Product (512 |-> 2) is V11() real ext-real set
(2 |^ 512) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 256) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 256) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 256 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 256) is non empty finite 2 * 256 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 256)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 256),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 256)),{2}:]
[:(Seg (2 * 256)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 256)),{2}:] is finite V40() set
Product ((2 * 256) |-> 2) is V11() real ext-real set
(2 |^ (2 * 256)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1024 |-> 2 is Relation-like NAT -defined Function-like finite 1024 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 1024 is non empty finite 1024 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 1024),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1024,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1024),{2}:]
[:(Seg 1024),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1024),{2}:] is finite V40() set
Product (1024 |-> 2) is V11() real ext-real set
(2 |^ 1024) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 512) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 512) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 512 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 512) is non empty finite 2 * 512 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 512)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 512),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 512)),{2}:]
[:(Seg (2 * 512)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 512)),{2}:] is finite V40() set
Product ((2 * 512) |-> 2) is V11() real ext-real set
(2 |^ (2 * 512)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2048 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 2048 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2048 |-> 2 is Relation-like NAT -defined Function-like finite 2048 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 2048 is non empty finite 2048 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 2048),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2048,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2048),{2}:]
[:(Seg 2048),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2048),{2}:] is finite V40() set
Product (2048 |-> 2) is V11() real ext-real set
(2 |^ 2048) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 1024) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 1024) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 1024 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 1024) is non empty finite 2 * 1024 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 1024)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 1024),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 1024)),{2}:]
[:(Seg (2 * 1024)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 1024)),{2}:] is finite V40() set
Product ((2 * 1024) |-> 2) is V11() real ext-real set
(2 |^ (2 * 1024)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ (2503 -' 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2503 -' 1) |-> 2 is Relation-like NAT -defined Function-like finite 2503 -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2503 -' 1) is finite 2503 -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2503 -' 1)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2503 -' 1),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2503 -' 1)),{2}:]
[:(Seg (2503 -' 1)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2503 -' 1)),{2}:] is finite V40() set
Product ((2503 -' 1) |-> 2) is V11() real ext-real set
(2 |^ (2503 -' 1)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
454 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2048 + 454 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2048 + 454) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2048 + 454) |-> 2 is Relation-like NAT -defined Function-like finite 2048 + 454 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2048 + 454) is non empty finite 2048 + 454 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2048 + 454)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2048 + 454),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2048 + 454)),{2}:]
[:(Seg (2048 + 454)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2048 + 454)),{2}:] is finite V40() set
Product ((2048 + 454) |-> 2) is V11() real ext-real set
(2 |^ (2048 + 454)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 454 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
454 |-> 2 is Relation-like NAT -defined Function-like finite 454 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 454 is non empty finite 454 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 454),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 454,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 454),{2}:]
[:(Seg 454),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 454),{2}:] is finite V40() set
Product (454 |-> 2) is V11() real ext-real set
(2 |^ 2048) * (2 |^ 454) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 2048) * (2 |^ 454)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
198 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 + 198 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (256 + 198) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 + 198) |-> 2 is Relation-like NAT -defined Function-like finite 256 + 198 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (256 + 198) is non empty finite 256 + 198 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (256 + 198)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (256 + 198),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (256 + 198)),{2}:]
[:(Seg (256 + 198)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (256 + 198)),{2}:] is finite V40() set
Product ((256 + 198) |-> 2) is V11() real ext-real set
(2 |^ (256 + 198)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 2048) mod 2503) * ((2 |^ (256 + 198)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((2 |^ 2048) mod 2503) * ((2 |^ (256 + 198)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 198 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
198 |-> 2 is Relation-like NAT -defined Function-like finite 198 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 198 is non empty finite 198 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 198),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 198,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 198),{2}:]
[:(Seg 198),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 198),{2}:] is finite V40() set
Product (198 |-> 2) is V11() real ext-real set
(2 |^ 256) * (2 |^ 198) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 256) * (2 |^ 198)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * (((2 |^ 256) * (2 |^ 198)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * (((2 |^ 256) * (2 |^ 198)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
70 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
128 + 70 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (128 + 70) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(128 + 70) |-> 2 is Relation-like NAT -defined Function-like finite 128 + 70 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (128 + 70) is non empty finite 128 + 70 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (128 + 70)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (128 + 70),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (128 + 70)),{2}:]
[:(Seg (128 + 70)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (128 + 70)),{2}:] is finite V40() set
Product ((128 + 70) |-> 2) is V11() real ext-real set
(2 |^ (128 + 70)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((2 |^ (128 + 70)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((2 |^ (128 + 70)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((2 |^ (128 + 70)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((2 |^ (128 + 70)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 70 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
70 |-> 2 is Relation-like NAT -defined Function-like finite 70 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 70 is non empty finite 70 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 70),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 70,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 70),{2}:]
[:(Seg 70),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 70),{2}:] is finite V40() set
Product (70 |-> 2) is V11() real ext-real set
(2 |^ 128) * (2 |^ 70) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 128) * (2 |^ 70)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * (((2 |^ 128) * (2 |^ 70)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * (((2 |^ 128) * (2 |^ 70)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * (((2 |^ 128) * (2 |^ 70)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * (((2 |^ 128) * (2 |^ 70)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
64 + 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (64 + 6) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(64 + 6) |-> 2 is Relation-like NAT -defined Function-like finite 64 + 6 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (64 + 6) is non empty finite 64 + 6 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (64 + 6)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (64 + 6),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (64 + 6)),{2}:]
[:(Seg (64 + 6)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (64 + 6)),{2}:] is finite V40() set
Product ((64 + 6) |-> 2) is V11() real ext-real set
(2 |^ (64 + 6)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * ((2 |^ (64 + 6)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * ((2 |^ (64 + 6)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * ((2 |^ (64 + 6)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * ((2 |^ (64 + 6)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * ((2 |^ (64 + 6)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * ((2 |^ (64 + 6)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
6 |-> 2 is Relation-like NAT -defined Function-like finite 6 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 6 is non empty finite 6 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 6),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 6,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 6),{2}:]
[:(Seg 6),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 6),{2}:] is finite V40() set
Product (6 |-> 2) is V11() real ext-real set
(2 |^ 64) * (2 |^ 6) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 64) * (2 |^ 6)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * (((2 |^ 64) * (2 |^ 6)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * (((2 |^ 64) * (2 |^ 6)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * (((2 |^ 64) * (2 |^ 6)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * (((2 |^ 64) * (2 |^ 6)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * (((2 |^ 64) * (2 |^ 6)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * (((2 |^ 64) * (2 |^ 6)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (4 + 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4 + 2) |-> 2 is Relation-like NAT -defined Function-like finite 4 + 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (4 + 2) is non empty finite 4 + 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (4 + 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (4 + 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (4 + 2)),{2}:]
[:(Seg (4 + 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (4 + 2)),{2}:] is finite V40() set
Product ((4 + 2) |-> 2) is V11() real ext-real set
(2 |^ (4 + 2)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
359 * ((2 |^ (4 + 2)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * ((359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * ((359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * ((359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * ((359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * ((359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * ((359 * ((2 |^ (4 + 2)) mod 2503)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 4) * (2 |^ 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 4) * (2 |^ 2)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
359 * (((2 |^ 4) * (2 |^ 2)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * ((359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * ((359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * ((359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * ((359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * ((359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * ((359 * (((2 |^ 4) * (2 |^ 2)) mod 2503)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
16 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(16 * 4) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
359 * ((16 * 4) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(359 * ((16 * 4) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * ((359 * ((16 * 4) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * ((359 * ((16 * 4) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * ((359 * ((16 * 4) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * ((359 * ((16 * 4) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * ((359 * ((16 * 4) mod 2503)) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * ((359 * ((16 * 4) mod 2503)) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(359 * 64) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1228 * ((359 * 64) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * ((359 * 64) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * ((359 * 64) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * ((359 * 64) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * ((359 * 64) mod 2503)) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * ((359 * 64) mod 2503)) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1228 * 449) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1178 * ((1228 * 449) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * ((1228 * 449) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * ((1228 * 449) mod 2503)) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * ((1228 * 449) mod 2503)) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1178 * 712) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1647 * ((1178 * 712) mod 2503) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * ((1178 * 712) mod 2503)) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1647 * 231) mod 2503 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4001 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 |-> 2 is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{2}:]
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 1),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{2}:] is finite V40() set
Product (1 |-> 2) is V11() real ext-real set
(2 |^ 1) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |-> 2 is Relation-like NAT -defined Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg 2),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2),{2}:]
[:(Seg 2),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2),{2}:] is finite V40() set
Product (2 |-> 2) is V11() real ext-real set
(2 |^ 2) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 1) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 1) is non empty finite 2 * 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 1)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 1),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 1)),{2}:]
[:(Seg (2 * 1)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 1)),{2}:] is finite V40() set
Product ((2 * 1) |-> 2) is V11() real ext-real set
(2 |^ (2 * 1)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 |-> 2 is Relation-like NAT -defined Function-like finite 4 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 4 is non empty finite 4 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 4),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 4,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 4),{2}:]
[:(Seg 4),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 4),{2}:] is finite V40() set
Product (4 |-> 2) is V11() real ext-real set
(2 |^ 4) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ (2 * 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 2) is non empty finite 2 * 2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 2)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 2),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 2)),{2}:]
[:(Seg (2 * 2)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 2)),{2}:] is finite V40() set
Product ((2 * 2) |-> 2) is V11() real ext-real set
(2 |^ (2 * 2)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4 * 4) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8 |-> 2 is Relation-like NAT -defined Function-like finite 8 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 8 is non empty finite 8 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 8),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 8,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 8),{2}:]
[:(Seg 8),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 8),{2}:] is finite V40() set
Product (8 |-> 2) is V11() real ext-real set
(2 |^ 8) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 4) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 4) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 4 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 4) is non empty finite 2 * 4 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 4)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 4),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 4)),{2}:]
[:(Seg (2 * 4)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 4)),{2}:] is finite V40() set
Product ((2 * 4) |-> 2) is V11() real ext-real set
(2 |^ (2 * 4)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
16 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(16 * 16) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 - 1 is V11() real integer ext-real Element of REAL
5 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 5) * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((5 * 5) * 5) * 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 * 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1520 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 16) + 1520 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 * 256) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
5 |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 |-> 5 is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),5) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1,{5}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{5}:]
{5} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 1),{5}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{5}:] is finite V40() set
Product (1 |-> 5) is V11() real ext-real set
(5 |^ 1) * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((5 |^ 1) * 5) * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 |^ (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1 + 1) |-> 5 is Relation-like NAT -defined Function-like finite 1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1 + 1) is non empty finite 1 + 1 -element 1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (1 + 1)),5) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (1 + 1),{5}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1 + 1)),{5}:]
[:(Seg (1 + 1)),{5}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1 + 1)),{5}:] is finite V40() set
Product ((1 + 1) |-> 5) is V11() real ext-real set
(5 |^ (1 + 1)) * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1 + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
5 |^ ((1 + 1) + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((1 + 1) + 1) |-> 5 is Relation-like NAT -defined Function-like finite (1 + 1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((1 + 1) + 1) is non empty finite (1 + 1) + 1 -element (1 + 1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(1 + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg ((1 + 1) + 1)),5) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((1 + 1) + 1),{5}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((1 + 1) + 1)),{5}:]
[:(Seg ((1 + 1) + 1)),{5}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((1 + 1) + 1)),{5}:] is finite V40() set
Product (((1 + 1) + 1) |-> 5) is V11() real ext-real set
5 |^ 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 |-> 5 is Relation-like NAT -defined Function-like finite 3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 3 is non empty finite 3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 3),5) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 3,{5}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 3),{5}:]
[:(Seg 3),{5}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 3),{5}:] is finite V40() set
Product (3 |-> 5) is V11() real ext-real set
1023 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1023 * 1023 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
261 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 261 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2268 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 261) + 2268 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1023 * 1023) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
800 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 800 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
800 |-> 2 is Relation-like NAT -defined Function-like finite 800 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 800 is non empty finite 800 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 800),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 800,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 800),{2}:]
[:(Seg 800),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 800),{2}:] is finite V40() set
Product (800 |-> 2) is V11() real ext-real set
(2 |^ 800) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 800) - 1 is V11() real integer ext-real Element of REAL
6311 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2310 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 1) + 2310 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3906 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1913 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3906 * 1913 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1867 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 1867 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2311 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 1867) + 2311 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1522 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1823 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1522 * 1823 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
693 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 693 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 693) + 1913 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3441 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3441 * 3441 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2959 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 2959 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 2959) + 1522 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3441 * 3441) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2164 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1023 * 2164 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
553 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 553 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1219 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 553) + 1219 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2499 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2499 * 2499 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1560 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 1560 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 1560) + 3441 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2499 * 2499) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
988 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3906 * 988 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
964 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 964 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 964) + 2164 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1823 * 1823 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
830 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 830 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 830) + 2499 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1823 * 1823) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3376 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1522 * 3376 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1284 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 1284 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 1284) + 988 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1520 * 1520 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
577 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 577 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 577) + 1823 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1520 * 1520) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3441 * 1823 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1567 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 1567 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 1567) + 3376 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1522 * 1522 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
578 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 578 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 578) + 3906 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1522 * 1522) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * 1219 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
691 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 691 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 691) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3906 * 3906 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3813 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4001 * 3813 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 * 3813) + 1023 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3906 * 3906) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4001 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
16 |-> 2 is Relation-like NAT -defined Function-like finite 16 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 16 is non empty finite 16 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 16),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 16,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 16),{2}:]
[:(Seg 16),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 16),{2}:] is finite V40() set
Product (16 |-> 2) is V11() real ext-real set
(2 |^ 16) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 8) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 8) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 8 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 8) is non empty finite 2 * 8 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 8)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 8),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 8)),{2}:]
[:(Seg (2 * 8)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 8)),{2}:] is finite V40() set
Product ((2 * 8) |-> 2) is V11() real ext-real set
(2 |^ (2 * 8)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
32 |-> 2 is Relation-like NAT -defined Function-like finite 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 32 is non empty finite 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 32),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 32,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 32),{2}:]
[:(Seg 32),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 32),{2}:] is finite V40() set
Product (32 |-> 2) is V11() real ext-real set
(2 |^ 32) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 16 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 16) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 16) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 16 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 16) is non empty finite 2 * 16 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 16)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 16),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 16)),{2}:]
[:(Seg (2 * 16)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 16)),{2}:] is finite V40() set
Product ((2 * 16) |-> 2) is V11() real ext-real set
(2 |^ (2 * 16)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
64 |-> 2 is Relation-like NAT -defined Function-like finite 64 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 64 is non empty finite 64 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 64),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 64,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 64),{2}:]
[:(Seg 64),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 64),{2}:] is finite V40() set
Product (64 |-> 2) is V11() real ext-real set
(2 |^ 64) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 32) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 32) is non empty finite 2 * 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 32)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 32),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 32)),{2}:]
[:(Seg (2 * 32)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 32)),{2}:] is finite V40() set
Product ((2 * 32) |-> 2) is V11() real ext-real set
(2 |^ (2 * 32)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
128 |-> 2 is Relation-like NAT -defined Function-like finite 128 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 128 is non empty finite 128 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 128),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 128,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 128),{2}:]
[:(Seg 128),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 128),{2}:] is finite V40() set
Product (128 |-> 2) is V11() real ext-real set
(2 |^ 128) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 64 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 64) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 64) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 64 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 64) is non empty finite 2 * 64 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 64)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 64),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 64)),{2}:]
[:(Seg (2 * 64)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 64)),{2}:] is finite V40() set
Product ((2 * 64) |-> 2) is V11() real ext-real set
(2 |^ (2 * 64)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 |-> 2 is Relation-like NAT -defined Function-like finite 256 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 256 is non empty finite 256 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 256),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 256,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 256),{2}:]
[:(Seg 256),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 256),{2}:] is finite V40() set
Product (256 |-> 2) is V11() real ext-real set
(2 |^ 256) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 128 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 128) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 128) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 128 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 128) is non empty finite 2 * 128 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 128)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 128),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 128)),{2}:]
[:(Seg (2 * 128)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 128)),{2}:] is finite V40() set
Product ((2 * 128) |-> 2) is V11() real ext-real set
(2 |^ (2 * 128)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
512 |-> 2 is Relation-like NAT -defined Function-like finite 512 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 512 is non empty finite 512 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 512),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 512,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 512),{2}:]
[:(Seg 512),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 512),{2}:] is finite V40() set
Product (512 |-> 2) is V11() real ext-real set
(2 |^ 512) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 256 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 256) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 256) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 256 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 256) is non empty finite 2 * 256 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 256)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 256),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 256)),{2}:]
[:(Seg (2 * 256)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 256)),{2}:] is finite V40() set
Product ((2 * 256) |-> 2) is V11() real ext-real set
(2 |^ (2 * 256)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1024 |-> 2 is Relation-like NAT -defined Function-like finite 1024 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 1024 is non empty finite 1024 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 1024),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1024,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1024),{2}:]
[:(Seg 1024),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1024),{2}:] is finite V40() set
Product (1024 |-> 2) is V11() real ext-real set
(2 |^ 1024) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 512 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 512) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 512) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 512 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 512) is non empty finite 2 * 512 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 512)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 512),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 512)),{2}:]
[:(Seg (2 * 512)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 512)),{2}:] is finite V40() set
Product ((2 * 512) |-> 2) is V11() real ext-real set
(2 |^ (2 * 512)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 800) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
288 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
512 + 288 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (512 + 288) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(512 + 288) |-> 2 is Relation-like NAT -defined Function-like finite 512 + 288 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (512 + 288) is non empty finite 512 + 288 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (512 + 288)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (512 + 288),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (512 + 288)),{2}:]
[:(Seg (512 + 288)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (512 + 288)),{2}:] is finite V40() set
Product ((512 + 288) |-> 2) is V11() real ext-real set
(2 |^ (512 + 288)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 288 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
288 |-> 2 is Relation-like NAT -defined Function-like finite 288 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 288 is non empty finite 288 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 288),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 288,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 288),{2}:]
[:(Seg 288),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 288),{2}:] is finite V40() set
Product (288 |-> 2) is V11() real ext-real set
(2 |^ 512) * (2 |^ 288) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 512) * (2 |^ 288)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
256 + 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (256 + 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 + 32) |-> 2 is Relation-like NAT -defined Function-like finite 256 + 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (256 + 32) is non empty finite 256 + 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (256 + 32)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (256 + 32),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (256 + 32)),{2}:]
[:(Seg (256 + 32)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (256 + 32)),{2}:] is finite V40() set
Product ((256 + 32) |-> 2) is V11() real ext-real set
(2 |^ (256 + 32)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((2 |^ (256 + 32)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((2 |^ (256 + 32)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 256) * (2 |^ 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 256) * (2 |^ 32)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * (((2 |^ 256) * (2 |^ 32)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * (((2 |^ 256) * (2 |^ 32)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1522 * 1823) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((1522 * 1823) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((1522 * 1823) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * 1913) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
5 * 800 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(5 * 800) + 0 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 -' 1) div 5 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ ((4001 -' 1) div 5) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((4001 -' 1) div 5) |-> 2 is Relation-like NAT -defined Function-like finite (4001 -' 1) div 5 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg ((4001 -' 1) div 5) is finite (4001 -' 1) div 5 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((4001 -' 1) div 5)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((4001 -' 1) div 5),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((4001 -' 1) div 5)),{2}:]
[:(Seg ((4001 -' 1) div 5)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((4001 -' 1) div 5)),{2}:] is finite V40() set
Product (((4001 -' 1) div 5) |-> 2) is V11() real ext-real set
(2 |^ ((4001 -' 1) div 5)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ ((4001 -' 1) div 5)) -' 1) gcd 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 800) -' 1) gcd 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 800) -' 1) + (4001 * 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 |^ 800) -' 1) + (4001 * 1)) gcd 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 800) + 4000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 800) + 4000) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4001 gcd (((2 |^ 800) + 4000) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4000 mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2311 + (4000 mod 4001) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2311 + (4000 mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4001 gcd ((2311 + (4000 mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2311 + 4000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2311 + 4000) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4001 gcd ((2311 + 4000) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2310 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1691 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2310 * 1) + 1691 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2310 * 1) + 1691) gcd 2310 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1691 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
619 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1691 * 1) + 619 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1691 gcd ((1691 * 1) + 619) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
619 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
453 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(619 * 2) + 453 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((619 * 2) + 453) gcd 619 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
453 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
166 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(453 * 1) + 166 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((453 * 1) + 166) gcd 453 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
166 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
121 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(166 * 2) + 121 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
166 gcd ((166 * 2) + 121) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
121 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
45 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(121 * 1) + 45 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((121 * 1) + 45) gcd 121 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
45 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
31 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(45 * 2) + 31 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
45 gcd ((45 * 2) + 31) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
31 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(31 * 1) + 14 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((31 * 1) + 14) gcd 31 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
14 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(14 * 2) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
14 gcd ((14 * 2) + 3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3 * 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * 4) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((3 * 4) + 2) gcd 3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 gcd ((2 * 1) + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 gcd 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2048 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ 2048 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2048 |-> 2 is Relation-like NAT -defined Function-like finite 2048 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 2048 is non empty finite 2048 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 2048),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2048,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2048),{2}:]
[:(Seg 2048),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2048),{2}:] is finite V40() set
Product (2048 |-> 2) is V11() real ext-real set
(2 |^ 2048) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 1024 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2 * 1024) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 1024) |-> 2 is Relation-like NAT -defined Function-like finite 2 * 1024 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * 1024) is non empty finite 2 * 1024 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2 * 1024)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * 1024),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * 1024)),{2}:]
[:(Seg (2 * 1024)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * 1024)),{2}:] is finite V40() set
Product ((2 * 1024) |-> 2) is V11() real ext-real set
(2 |^ (2 * 1024)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ (4001 -' 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(4001 -' 1) |-> 2 is Relation-like NAT -defined Function-like finite 4001 -' 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (4001 -' 1) is finite 4001 -' 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (4001 -' 1)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (4001 -' 1),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (4001 -' 1)),{2}:]
[:(Seg (4001 -' 1)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (4001 -' 1)),{2}:] is finite V40() set
Product ((4001 -' 1) |-> 2) is V11() real ext-real set
(2 |^ (4001 -' 1)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1952 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2048 + 1952 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (2048 + 1952) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2048 + 1952) |-> 2 is Relation-like NAT -defined Function-like finite 2048 + 1952 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2048 + 1952) is non empty finite 2048 + 1952 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (2048 + 1952)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2048 + 1952),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2048 + 1952)),{2}:]
[:(Seg (2048 + 1952)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2048 + 1952)),{2}:] is finite V40() set
Product ((2048 + 1952) |-> 2) is V11() real ext-real set
(2 |^ (2048 + 1952)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 1952 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1952 |-> 2 is Relation-like NAT -defined Function-like finite 1952 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 1952 is non empty finite 1952 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 1952),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 1952,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1952),{2}:]
[:(Seg 1952),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1952),{2}:] is finite V40() set
Product (1952 |-> 2) is V11() real ext-real set
(2 |^ 2048) * (2 |^ 1952) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 2048) * (2 |^ 1952)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
928 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1024 + 928 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (1024 + 928) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1024 + 928) |-> 2 is Relation-like NAT -defined Function-like finite 1024 + 928 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1024 + 928) is non empty finite 1024 + 928 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (1024 + 928)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (1024 + 928),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1024 + 928)),{2}:]
[:(Seg (1024 + 928)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1024 + 928)),{2}:] is finite V40() set
Product ((1024 + 928) |-> 2) is V11() real ext-real set
(2 |^ (1024 + 928)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 |^ 2048) mod 4001) * ((2 |^ (1024 + 928)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((2 |^ 2048) mod 4001) * ((2 |^ (1024 + 928)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 928 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
928 |-> 2 is Relation-like NAT -defined Function-like finite 928 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 928 is non empty finite 928 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 928),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 928,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 928),{2}:]
[:(Seg 928),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 928),{2}:] is finite V40() set
Product (928 |-> 2) is V11() real ext-real set
(2 |^ 1024) * (2 |^ 928) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 1024) * (2 |^ 928)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * (((2 |^ 1024) * (2 |^ 928)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * (((2 |^ 1024) * (2 |^ 928)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
416 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
512 + 416 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (512 + 416) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(512 + 416) |-> 2 is Relation-like NAT -defined Function-like finite 512 + 416 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (512 + 416) is non empty finite 512 + 416 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (512 + 416)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (512 + 416),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (512 + 416)),{2}:]
[:(Seg (512 + 416)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (512 + 416)),{2}:] is finite V40() set
Product ((512 + 416) |-> 2) is V11() real ext-real set
(2 |^ (512 + 416)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((2 |^ (512 + 416)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((2 |^ (512 + 416)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((2 |^ (512 + 416)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((2 |^ (512 + 416)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 416 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
416 |-> 2 is Relation-like NAT -defined Function-like finite 416 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 416 is non empty finite 416 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 416),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 416,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 416),{2}:]
[:(Seg 416),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 416),{2}:] is finite V40() set
Product (416 |-> 2) is V11() real ext-real set
(2 |^ 512) * (2 |^ 416) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 512) * (2 |^ 416)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * (((2 |^ 512) * (2 |^ 416)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * (((2 |^ 512) * (2 |^ 416)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * (((2 |^ 512) * (2 |^ 416)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * (((2 |^ 512) * (2 |^ 416)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
160 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
256 + 160 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (256 + 160) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(256 + 160) |-> 2 is Relation-like NAT -defined Function-like finite 256 + 160 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (256 + 160) is non empty finite 256 + 160 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (256 + 160)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (256 + 160),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (256 + 160)),{2}:]
[:(Seg (256 + 160)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (256 + 160)),{2}:] is finite V40() set
Product ((256 + 160) |-> 2) is V11() real ext-real set
(2 |^ (256 + 160)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((2 |^ (256 + 160)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((2 |^ (256 + 160)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * ((2 |^ (256 + 160)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * ((2 |^ (256 + 160)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * ((2 |^ (256 + 160)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * ((2 |^ (256 + 160)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 |^ 160 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
160 |-> 2 is Relation-like NAT -defined Function-like finite 160 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 160 is non empty finite 160 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 160),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 160,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 160),{2}:]
[:(Seg 160),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 160),{2}:] is finite V40() set
Product (160 |-> 2) is V11() real ext-real set
(2 |^ 256) * (2 |^ 160) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 256) * (2 |^ 160)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * (((2 |^ 256) * (2 |^ 160)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * (((2 |^ 256) * (2 |^ 160)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * (((2 |^ 256) * (2 |^ 160)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * (((2 |^ 256) * (2 |^ 160)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * (((2 |^ 256) * (2 |^ 160)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * (((2 |^ 256) * (2 |^ 160)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
128 + 32 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ (128 + 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(128 + 32) |-> 2 is Relation-like NAT -defined Function-like finite 128 + 32 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (128 + 32) is non empty finite 128 + 32 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (128 + 32)),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (128 + 32),{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (128 + 32)),{2}:]
[:(Seg (128 + 32)),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (128 + 32)),{2}:] is finite V40() set
Product ((128 + 32) |-> 2) is V11() real ext-real set
(2 |^ (128 + 32)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1522 * ((2 |^ (128 + 32)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * ((1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * ((1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * ((1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * ((1522 * ((2 |^ (128 + 32)) mod 4001)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 |^ 128) * (2 |^ 32) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 |^ 128) * (2 |^ 32)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * ((1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * ((1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * ((1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * ((1522 * (((2 |^ 128) * (2 |^ 32)) mod 4001)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3441 * 1823) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1522 * ((3441 * 1823) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1522 * ((3441 * 1823) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((1522 * ((3441 * 1823) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((1522 * ((3441 * 1823) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * ((1522 * ((3441 * 1823) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * ((1522 * ((3441 * 1823) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * ((1522 * ((3441 * 1823) mod 4001)) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * ((1522 * ((3441 * 1823) mod 4001)) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1522 * 3376) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3906 * ((1522 * 3376) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * ((1522 * 3376) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * ((1522 * 3376) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * ((1522 * 3376) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * ((1522 * 3376) mod 4001)) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * ((1522 * 3376) mod 4001)) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3906 * 988) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1023 * ((3906 * 988) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * ((3906 * 988) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * ((3906 * 988) mod 4001)) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * ((3906 * 988) mod 4001)) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(1023 * 2164) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2268 * ((1023 * 2164) mod 4001) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * ((1023 * 2164) mod 4001)) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2268 * 1219) mod 4001 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 23 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 43 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 83 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 163 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 317 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 631 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 1259 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 2503 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
m is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
m + X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
addreal is Relation-like Function-like V29([:REAL,REAL:], REAL ) V59() V60() V61() Element of bool [:[:REAL,REAL:],REAL:]
K330(addreal,m,X1) is set
dom n is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom m is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(dom m) /\ (dom X1) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() set
rng m is finite complex-membered ext-real-membered real-membered V193() V194() V195() Element of bool REAL
rng X1 is finite complex-membered ext-real-membered real-membered V193() V194() V195() Element of bool REAL
[:(rng m),(rng X1):] is Relation-like finite V59() V60() V61() set
dom addreal is set
n is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
dom n is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Product n is V11() real ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product X1 is V11() real ext-real Element of REAL
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 ^ X3 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
dom X3 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X1 . (m + 1) is V11() real ext-real set
X3 . 1 is V11() real ext-real set
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 . X is V11() real ext-real set
X1 . X is V11() real ext-real set
Product X2 is V11() real ext-real Element of REAL
Seg (m + 1) is non empty finite m + 1 -element m + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
<*(X3 . 1)*> is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
X2 ^ <*(X3 . 1)*> is non empty Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Product (X2 ^ <*(X3 . 1)*>) is V11() real ext-real set
(Product X2) * (X3 . 1) is V11() real ext-real Element of REAL
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product X1 is V11() real ext-real Element of REAL
m is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
dom m is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product m is V11() real ext-real Element of REAL
<*> REAL is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined REAL -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of REAL *
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
len n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is set
Sgm n is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is set
X2 is finite set
card X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X is non empty finite complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
max X is V11() real ext-real set
{(max X)} is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
X1 \ {(max X)} is set
X2 \ {(max X)} is finite set
(X2 \ {(max X)}) \/ {(max X)} is non empty finite set
(X2 \ {(max X)}) /\ {(max X)} is finite complex-membered ext-real-membered real-membered V193() V194() V195() set
X2 /\ {(max X)} is finite complex-membered ext-real-membered real-membered V193() V194() V195() set
(X2 /\ {(max X)}) \ {(max X)} is finite complex-membered ext-real-membered real-membered V193() V194() V195() set
{(max X)} \ {(max X)} is finite complex-membered ext-real-membered real-membered V193() V194() V195() set
card ((X2 \ {(max X)}) \/ {(max X)}) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of omega
card (X2 \ {(max X)}) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
card {(max X)} is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of omega
(card (X2 \ {(max X)})) + (card {(max X)}) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
card ((X2 \ {(max X)}) /\ {(max X)}) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
((card (X2 \ {(max X)})) + (card {(max X)})) - (card ((X2 \ {(max X)}) /\ {(max X)})) is V11() real integer ext-real Element of REAL
(card (X2 \ {(max X)})) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
card {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of omega
((card (X2 \ {(max X)})) + 1) - (card {}) is non empty V11() real integer ext-real positive non negative Element of REAL
Sgm (X1 \ {(max X)}) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm (X1 \ {(max X)})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm (X2 \ {(max X)}) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm (X2 \ {(max X)})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is set
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg 2n is finite 2n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
2n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{2n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm X2 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm {2n} is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(Sgm (X2 \ {(max X)})) ^ (Sgm {2n}) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product ((Sgm (X2 \ {(max X)})) ^ (Sgm {2n})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product (Sgm {2n}) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm (X2 \ {(max X)}))) * (Product (Sgm {2n})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*2n*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
Product <*2n*> is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm (X2 \ {(max X)}))) * (Product <*2n*>) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm (X2 \ {(max X)}))) * 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 * (Product (Sgm (X2 \ {(max X)}))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n * (Product (Sgm (X2 \ {(max X)}))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is set
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X1 \ {(max X)}) \/ {2n} is non empty set
Sgm X1 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sgm (X1 \ {(max X)})) ^ (Sgm {2n}) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product ((Sgm (X1 \ {(max X)})) ^ (Sgm {2n})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm (X1 \ {(max X)}))) * (Product (Sgm {2n})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm (X1 \ {(max X)}))) * (Product <*2n*>) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm (X1 \ {(max X)}))) * 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm X1 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is set
X2 is finite set
card X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
Sgm X1 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm X2 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is finite set
Sgm m is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
card m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X1 is set
Sgm X1 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is finite set
card X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
Sgm X2 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is set
Sgm X1 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
X2 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
Product X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X3 |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
rng X is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
X is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg XX is finite XX -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n is set
Sgm 2n is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
n1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
Product n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng n1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
n1 |-count mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 . (mm + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (mm + 1) is non empty finite mm + 1 -element mm + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
dom n1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
2n \ {n2} is set
p is set
c is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
y is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 " is Relation-like Function-like set
(n1 ") . c is set
dom (n1 ") is set
rng (n1 ") is set
F1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 . F1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm {n2} is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sgm (2n \ {n2}) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
y is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product y is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*n2*> is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
rng (Sgm {n2}) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
(2n \ {n2}) \/ {n2} is non empty set
2n \/ {n2} is non empty set
y ^ (Sgm {n2}) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
rng y is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
len y is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len (Sgm {n2}) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len y) + (len (Sgm {n2})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len y) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
F1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
dom F1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
F1 . k is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng F1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
F1 ^ (Sgm {n2}) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (F1 ^ (Sgm {n2})) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
F1 ^ <*n2*> is non empty Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Product (F1 ^ <*n2*>) is V11() real ext-real set
Product F1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product F1) * n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |-count (Product y) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |-count n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n1 |-count (Product y)) + (n1 |-count n2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(rng F1) \/ (rng (Sgm {n2})) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() set
2n is set
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg XX is finite XX -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
Sgm 2n is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
rng n1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
n1 |-count mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is set
Sgm XX is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
2n is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
Product 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng 2n is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
n1 |-count mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*> REAL is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined REAL -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of REAL *
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
<*> SetPrimes is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined SetPrimes -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of SetPrimes *
SetPrimes * is non empty functional FinSequence-membered FinSequenceSet of SetPrimes
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= a1 + 1 } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= a1 + 1 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= a1 + 1 } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= n + 1 } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= n + 1 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= n + 1 } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 to_power n is V11() real ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= m + 1 } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= m + 1 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= m + 1 } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 to_power m is V11() real ext-real set
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= 0 + 1 } is set
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= 1 } is set
X1 is set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4 to_power 1 is V11() real ext-real Element of REAL
X1 is set
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= 2 } is set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is set
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
Sgm {2} is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm {2}) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*2*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
Product <*2*> is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * X1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * X1) + 1) choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 to_power (2 * X1) is V11() real ext-real Element of REAL
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * X2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * X2) + 1) choose X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 to_power (2 * X2) is V11() real ext-real Element of REAL
X2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * (X2 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * (X2 + 1)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * (X2 + 1)) + 1) choose (X2 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 to_power (2 * (X2 + 1)) is V11() real ext-real Element of REAL
((2 * X2) + 1) - X2 is V11() real integer ext-real Element of REAL
(2 * X2) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * X2) + 3) - (X2 + 1) is V11() real integer ext-real Element of REAL
(2 to_power (2 * X2)) * 2 is V11() real ext-real Element of REAL
2 * ((2 to_power (2 * X2)) * 2) is V11() real ext-real Element of REAL
2 to_power 1 is V11() real ext-real Element of REAL
(2 to_power (2 * X2)) * (2 to_power 1) is V11() real ext-real Element of REAL
2 * ((2 to_power (2 * X2)) * (2 to_power 1)) is V11() real ext-real Element of REAL
2 to_power ((2 * X2) + 1) is V11() real ext-real Element of REAL
2 * (2 to_power ((2 * X2) + 1)) is V11() real ext-real Element of REAL
(2 to_power 1) * (2 to_power ((2 * X2) + 1)) is V11() real ext-real Element of REAL
1 + (2 * X2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1 + (2 * X2)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 to_power ((1 + (2 * X2)) + 1) is V11() real ext-real Element of REAL
0 + X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((2 * X2) + 1) - X2) + X2 is V11() real integer ext-real Element of REAL
(2 * X2) + 4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * (X2 + 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * (X2 + 2)) / (X2 + 2) is non empty V11() real ext-real positive non negative Element of REAL
((2 * X2) + 3) / (X2 + 2) is non empty V11() real ext-real positive non negative Element of REAL
(X2 + 2) / (X2 + 2) is non empty V11() real ext-real positive non negative Element of REAL
2 * ((X2 + 2) / (X2 + 2)) is non empty V11() real ext-real positive non negative Element of REAL
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X2) + 1) choose X2) * (((2 * X2) + 3) / (X2 + 2)) is V11() real ext-real non negative Element of REAL
2 * ((((2 * X2) + 1) choose X2) * (((2 * X2) + 3) / (X2 + 2))) is V11() real ext-real non negative Element of REAL
(X2 + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (X2 + 1) is Relation-like NAT -defined RAT -valued Function-like finite X2 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (X2 + 1) is non empty finite X2 + 1 -element X2 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (X2 + 1))) is Relation-like Seg (X2 + 1) -defined Seg (X2 + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (X2 + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (X2 + 1)),(Seg (X2 + 1)):]
[:(Seg (X2 + 1)),(Seg (X2 + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X2 + 1)),(Seg (X2 + 1)):] is finite V40() set
Product (idseq (X2 + 1)) is V11() real ext-real set
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq XX is Relation-like NAT -defined RAT -valued Function-like finite XX -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg XX is finite XX -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg XX)) is Relation-like Seg XX -defined Seg XX -valued INT -valued RAT -valued Function-like one-to-one V25( Seg XX) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg XX),(Seg XX):]
[:(Seg XX),(Seg XX):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg XX),(Seg XX):] is finite V40() set
Product (idseq XX) is V11() real ext-real set
((X2 + 1) !) * (XX !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X2 is Relation-like NAT -defined RAT -valued Function-like finite X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X2 is finite X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X2)) is Relation-like Seg X2 -defined Seg X2 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X2) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X2),(Seg X2):]
[:(Seg X2),(Seg X2):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X2),(Seg X2):] is finite V40() set
Product (idseq X2) is V11() real ext-real set
(X2 !) * (X2 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (mm + 1) is Relation-like NAT -defined RAT -valued Function-like finite mm + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (mm + 1) is non empty finite mm + 1 -element mm + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (mm + 1))) is Relation-like Seg (mm + 1) -defined Seg (mm + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (mm + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm + 1)),(Seg (mm + 1)):]
[:(Seg (mm + 1)),(Seg (mm + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm + 1)),(Seg (mm + 1)):] is finite V40() set
Product (idseq (mm + 1)) is V11() real ext-real set
((X2 !) * (X2 + 1)) * ((mm + 1) !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq mm is Relation-like NAT -defined RAT -valued Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg mm)) is Relation-like Seg mm -defined Seg mm -valued INT -valued RAT -valued Function-like one-to-one V25( Seg mm) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),(Seg mm):]
[:(Seg mm),(Seg mm):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),(Seg mm):] is finite V40() set
Product (idseq mm) is V11() real ext-real set
(mm !) * (mm + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((X2 !) * (X2 + 1)) * ((mm !) * (mm + 1)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X2 !) * (mm !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((X2 !) * (mm !)) * (X2 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((X2 !) * (mm !)) * (X2 + 1)) * (mm + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((X2 !) * (mm !)) / (((X2 + 1) !) * (XX !)) is non empty V11() real ext-real positive non negative Element of REAL
(X2 + 1) * (mm + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((X2 !) * (mm !)) * ((X2 + 1) * (mm + 1)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((X2 !) * (mm !)) / (((X2 !) * (mm !)) * ((X2 + 1) * (mm + 1))) is non empty V11() real ext-real positive non negative Element of REAL
((X2 !) * (mm !)) / ((X2 !) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
(((X2 !) * (mm !)) / ((X2 !) * (mm !))) / ((X2 + 1) * (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
1 / ((X2 + 1) * (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
((2 * X2) + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq ((2 * X2) + 1) is Relation-like NAT -defined RAT -valued Function-like finite (2 * X2) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg ((2 * X2) + 1) is non empty finite (2 * X2) + 1 -element (2 * X2) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(2 * X2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg ((2 * X2) + 1))) is Relation-like Seg ((2 * X2) + 1) -defined Seg ((2 * X2) + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg ((2 * X2) + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg ((2 * X2) + 1)),(Seg ((2 * X2) + 1)):]
[:(Seg ((2 * X2) + 1)),(Seg ((2 * X2) + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((2 * X2) + 1)),(Seg ((2 * X2) + 1)):] is finite V40() set
Product (idseq ((2 * X2) + 1)) is V11() real ext-real set
(((2 * X2) + 1) !) / ((X2 !) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
((((2 * X2) + 1) !) / ((X2 !) * (mm !))) * ((X2 !) * (mm !)) is non empty V11() real ext-real positive non negative Element of REAL
(((2 * X2) + 1) choose X2) * ((X2 !) * (mm !)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 + (X2 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X2) + 3) - (X2 + 1)) + (X2 + 1) is V11() real integer ext-real Element of REAL
(2 * X2) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * X2) + 2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X2) + 2) + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (((2 * X2) + 2) + 1) is Relation-like NAT -defined RAT -valued Function-like finite ((2 * X2) + 2) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (((2 * X2) + 2) + 1) is non empty finite ((2 * X2) + 2) + 1 -element ((2 * X2) + 2) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
((2 * X2) + 2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (((2 * X2) + 2) + 1))) is Relation-like Seg (((2 * X2) + 2) + 1) -defined Seg (((2 * X2) + 2) + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (((2 * X2) + 2) + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (((2 * X2) + 2) + 1)),(Seg (((2 * X2) + 2) + 1)):]
[:(Seg (((2 * X2) + 2) + 1)),(Seg (((2 * X2) + 2) + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (((2 * X2) + 2) + 1)),(Seg (((2 * X2) + 2) + 1)):] is finite V40() set
Product (idseq (((2 * X2) + 2) + 1)) is V11() real ext-real set
((((2 * X2) + 2) + 1) !) / (((X2 + 1) !) * (XX !)) is non empty V11() real ext-real positive non negative Element of REAL
((2 * X2) + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X2) + 1) + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (((2 * X2) + 1) + 1) is Relation-like NAT -defined RAT -valued Function-like finite ((2 * X2) + 1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (((2 * X2) + 1) + 1) is non empty finite ((2 * X2) + 1) + 1 -element ((2 * X2) + 1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
((2 * X2) + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (((2 * X2) + 1) + 1))) is Relation-like Seg (((2 * X2) + 1) + 1) -defined Seg (((2 * X2) + 1) + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (((2 * X2) + 1) + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (((2 * X2) + 1) + 1)),(Seg (((2 * X2) + 1) + 1)):]
[:(Seg (((2 * X2) + 1) + 1)),(Seg (((2 * X2) + 1) + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (((2 * X2) + 1) + 1)),(Seg (((2 * X2) + 1) + 1)):] is finite V40() set
Product (idseq (((2 * X2) + 1) + 1)) is V11() real ext-real set
((((2 * X2) + 1) + 1) !) * ((2 * X2) + 3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((((2 * X2) + 1) + 1) !) * ((2 * X2) + 3)) / (((X2 + 1) !) * (XX !)) is non empty V11() real ext-real positive non negative Element of REAL
(((2 * X2) + 1) !) * ((2 * X2) + 2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((((2 * X2) + 1) !) * ((2 * X2) + 2)) * ((2 * X2) + 3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((((2 * X2) + 1) !) * ((2 * X2) + 2)) * ((2 * X2) + 3)) / (((X2 + 1) !) * (XX !)) is non empty V11() real ext-real positive non negative Element of REAL
((2 * X2) + 2) * ((2 * X2) + 3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X2) + 2) * ((2 * X2) + 3)) * (((2 * X2) + 1) !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((((2 * X2) + 2) * ((2 * X2) + 3)) * (((2 * X2) + 1) !)) / (((X2 + 1) !) * (XX !)) is non empty V11() real ext-real positive non negative Element of REAL
(2 * (X2 + 1)) * ((2 * X2) + 3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((((2 * X2) + 1) choose X2) * ((X2 !) * (mm !))) / (((X2 + 1) !) * (XX !)) is V11() real ext-real non negative Element of REAL
((2 * (X2 + 1)) * ((2 * X2) + 3)) * (((((2 * X2) + 1) choose X2) * ((X2 !) * (mm !))) / (((X2 + 1) !) * (XX !))) is V11() real ext-real non negative Element of REAL
(((2 * X2) + 1) choose X2) * (((X2 !) * (mm !)) / (((X2 + 1) !) * (XX !))) is V11() real ext-real non negative Element of REAL
((2 * (X2 + 1)) * ((2 * X2) + 3)) * ((((2 * X2) + 1) choose X2) * (((X2 !) * (mm !)) / (((X2 + 1) !) * (XX !)))) is V11() real ext-real non negative Element of REAL
((2 * (X2 + 1)) * ((2 * X2) + 3)) * (((2 * X2) + 1) choose X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((2 * (X2 + 1)) * ((2 * X2) + 3)) * (((2 * X2) + 1) choose X2)) * (1 / ((X2 + 1) * (mm + 1))) is V11() real ext-real non negative Element of REAL
2 * (((2 * X2) + 1) choose X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 + 1) * ((2 * X2) + 3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * (((2 * X2) + 1) choose X2)) * ((X2 + 1) * ((2 * X2) + 3)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 * (((2 * X2) + 1) choose X2)) * ((X2 + 1) * ((2 * X2) + 3))) / ((X2 + 1) * (mm + 1)) is V11() real ext-real non negative Element of REAL
((X2 + 1) * ((2 * X2) + 3)) / ((X2 + 1) * (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
(2 * (((2 * X2) + 1) choose X2)) * (((X2 + 1) * ((2 * X2) + 3)) / ((X2 + 1) * (mm + 1))) is V11() real ext-real non negative Element of REAL
(X2 + 1) / (X2 + 1) is non empty V11() real ext-real positive non negative Element of REAL
((2 * X2) + 3) / (mm + 1) is non empty V11() real ext-real positive non negative Element of REAL
((X2 + 1) / (X2 + 1)) * (((2 * X2) + 3) / (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
(2 * (((2 * X2) + 1) choose X2)) * (((X2 + 1) / (X2 + 1)) * (((2 * X2) + 3) / (mm + 1))) is V11() real ext-real non negative Element of REAL
1 * (((2 * X2) + 3) / (mm + 1)) is non empty V11() real ext-real positive non negative Element of REAL
(2 * (((2 * X2) + 1) choose X2)) * (1 * (((2 * X2) + 3) / (mm + 1))) is V11() real ext-real non negative Element of REAL
(2 * (((2 * X2) + 1) choose X2)) * (((2 * X2) + 3) / (X2 + 2)) is V11() real ext-real non negative Element of REAL
2 * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(2 * 0) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * 0) + 1) choose 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 to_power (2 * 0) is V11() real ext-real Element of REAL
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= X1 + 1 & b1 <= (2 * X1) + 1 ) } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= X1 + 1 & b1 <= (2 * X1) + 1 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
rng (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= X1 + 1 & b1 <= (2 * X1) + 1 ) } ) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X1 + 1 } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X1 + 1 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
rng (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X1 + 1 } ) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
m / 2 is V11() real ext-real non negative Element of REAL
X1 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 * 2) / 2 is V11() real ext-real non negative Element of REAL
mm is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
Product mm is V11() real ext-real Element of REAL
4 to_power X1 is V11() real ext-real Element of REAL
Seg (X1 + 1) is non empty finite X1 + 1 -element X1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
dom mm is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm . XX is V11() real ext-real set
rng mm is finite complex-membered ext-real-membered real-membered V193() V194() V195() Element of bool REAL
2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Seg ((2 * X1) + 1) is non empty finite (2 * X1) + 1 -element (2 * X1) + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(2 * X1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
dom XX is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX . 2n is V11() real ext-real set
rng XX is finite complex-membered ext-real-membered real-membered V193() V194() V195() Element of bool REAL
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Product XX is V11() real ext-real Element of REAL
((2 * X1) + 1) - X1 is V11() real integer ext-real Element of REAL
n1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 + X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((2 * X1) + 1) - X1) + X1 is V11() real integer ext-real Element of REAL
((2 * X1) + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq ((2 * X1) + 1) is Relation-like NAT -defined RAT -valued Function-like finite (2 * X1) + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
K105((Seg ((2 * X1) + 1))) is Relation-like Seg ((2 * X1) + 1) -defined Seg ((2 * X1) + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg ((2 * X1) + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg ((2 * X1) + 1)),(Seg ((2 * X1) + 1)):]
[:(Seg ((2 * X1) + 1)),(Seg ((2 * X1) + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((2 * X1) + 1)),(Seg ((2 * X1) + 1)):] is finite V40() set
Product (idseq ((2 * X1) + 1)) is V11() real ext-real set
X1 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X1 is Relation-like NAT -defined RAT -valued Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X1)) is Relation-like Seg X1 -defined Seg X1 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X1) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),(Seg X1):]
[:(Seg X1),(Seg X1):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),(Seg X1):] is finite V40() set
Product (idseq X1) is V11() real ext-real set
n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n2 is Relation-like NAT -defined RAT -valued Function-like finite n2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg n2 is finite n2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg n2)) is Relation-like Seg n2 -defined Seg n2 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n2) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n2),(Seg n2):]
[:(Seg n2),(Seg n2):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n2),(Seg n2):] is finite V40() set
Product (idseq n2) is V11() real ext-real set
(X1 !) * (n2 !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X1) + 1) !) / ((X1 !) * (n2 !)) is non empty V11() real ext-real positive non negative Element of REAL
n1 is set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
rng n1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
p is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p |-count (Product n1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p |-count (((2 * X1) + 1) choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
rng n1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
c is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(((2 * X1) + 1) choose X1) * ((X1 !) * (n2 !)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((((2 * X1) + 1) !) / ((X1 !) * (n2 !))) * ((X1 !) * (n2 !)) is non empty V11() real ext-real positive non negative Element of REAL
X1 + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(p |-count (((2 * X1) + 1) choose X1)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
y is set
a1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of SetPrimes
rng n1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
p |^ (0 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(0 + 1) |-> p is Relation-like NAT -defined Function-like finite 0 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (0 + 1) is non empty finite 0 + 1 -element 0 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (0 + 1)),p) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (0 + 1),{p}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (0 + 1)),{p}:]
{p} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (0 + 1)),{p}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (0 + 1)),{p}:] is finite V40() set
Product ((0 + 1) |-> p) is V11() real ext-real set
p |^ 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 |-> p is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
K334((Seg 0),p) is T-Sequence-like Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 0,{p}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 0),{p}:]
[:(Seg 0),{p}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 0),{p}:] is finite V40() set
Product (0 |-> p) is V11() real ext-real set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product n1) * n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= (2 * X1) + 1 } is set
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X1 + 1 } \/ { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= X1 + 1 & b1 <= (2 * X1) + 1 ) } is set
2n is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 + X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 to_power (X1 + X1) is V11() real ext-real Element of REAL
2 to_power X1 is V11() real ext-real Element of REAL
(2 to_power X1) * (2 to_power X1) is V11() real ext-real Element of REAL
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * 2) to_power X1 is V11() real ext-real Element of REAL
mm ^ XX is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
Product (mm ^ XX) is V11() real ext-real Element of REAL
(Product mm) * (Product XX) is V11() real ext-real Element of REAL
(4 to_power X1) * (4 to_power X1) is V11() real ext-real Element of REAL
4 to_power (X1 + X1) is V11() real ext-real Element of REAL
m - 1 is V11() real integer ext-real Element of REAL
1 - 1 is V11() real integer ext-real Element of REAL
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= m } is set
X3 is set
X is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X2 + 1 } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X2 + 1 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X2 + 1 } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 to_power X2 is V11() real ext-real Element of REAL
n is V11() real ext-real Element of REAL
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= n } is set
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= n } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= n } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - 1 is V11() real ext-real Element of REAL
4 to_power (n - 1) is V11() real ext-real Element of REAL
[/n\] is V11() real integer ext-real set
abs [/n\] is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(abs [/n\]) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
SetPrimenumber X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X3 is set
X is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is non empty finite complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
max X1 is V11() real ext-real set
X is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X3 } is set
X is set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 - 1 is V11() real integer ext-real Element of REAL
4 to_power (X3 - 1) is V11() real ext-real Element of REAL
X is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X3 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= X3 } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count n) |-> 1 is Relation-like NAT -defined NAT -valued Function-like finite m |-count n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support Element of (m |-count n) -tuples_on NAT
(m |-count n) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = m |-count n } is set
Seg (m |-count n) is finite m |-count n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (m |-count n)),1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (m |-count n),{1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m |-count n)),{1}:]
[:(Seg (m |-count n)),{1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m |-count n)),{1}:] is finite V40() set
n -' (m |-count n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' (m |-count n)) |-> 0 is Relation-like empty-yielding NAT -defined NAT -valued Function-like finite n -' (m |-count n) -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V80() V101() FinSequence-yielding finite-support Element of (n -' (m |-count n)) -tuples_on NAT
(n -' (m |-count n)) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = n -' (m |-count n) } is set
Seg (n -' (m |-count n)) is finite n -' (m |-count n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n -' (m |-count n))),0) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n -' (m |-count n)),{0}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n -' (m |-count n))),{0}:]
{0} is non empty trivial functional finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n -' (m |-count n))),{0}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n -' (m |-count n))),{0}:] is finite V40() set
((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0) is Relation-like NAT -defined REAL -valued Function-like finite (m |-count n) + (n -' (m |-count n)) -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(m |-count n) + (n -' (m |-count n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum (((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum ((m |-count n) |-> 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum ((n -' (m |-count n)) |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum ((m |-count n) |-> 1)) + (Sum ((n -' (m |-count n)) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count n) * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((m |-count n) * 1) + (Sum ((n -' (m |-count n)) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n -' (m |-count n)) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(m |-count n) + ((n -' (m |-count n)) * 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (m |-count n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(m |-count n) |-> m is Relation-like NAT -defined Function-like finite m |-count n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg (m |-count n)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (m |-count n),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m |-count n)),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (m |-count n)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m |-count n)),{m}:] is finite V40() set
Product ((m |-count n) |-> m) is V11() real ext-real set
m to_power (m |-count n) is V11() real ext-real set
m to_power n is V11() real ext-real set
m |^ n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n |-> m is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{m}:]
[:(Seg n),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{m}:] is finite V40() set
Product (n |-> m) is V11() real ext-real set
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
m |^ mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
mm |-> m is Relation-like NAT -defined Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg mm),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg mm,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),{m}:]
[:(Seg mm),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),{m}:] is finite V40() set
Product (mm |-> m) is V11() real ext-real set
mm is Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like finite-support set
dom mm is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
XX is set
rng mm is finite set
2n is set
mm . 2n is set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm . n1 is set
m |^ n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 |-> m is Relation-like NAT -defined Function-like finite n1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n1 is finite n1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg n1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n1),{m}:]
[:(Seg n1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n1),{m}:] is finite V40() set
Product (n1 |-> m) is V11() real ext-real set
len (((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len ((m |-count n) |-> 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len ((n -' (m |-count n)) |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len ((m |-count n) |-> 1)) + (len ((n -' (m |-count n)) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count n) + (len ((n -' (m |-count n)) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count n) + (n -' (m |-count n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n - (m |-count n) is V11() real integer ext-real Element of REAL
(m |-count n) + (n - (m |-count n)) is V11() real integer ext-real Element of REAL
XX is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
dom XX is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n1 is set
XX . n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0)) . n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0)) is finite (m |-count n) + (n -' (m |-count n)) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom ((m |-count n) |-> 1) is finite m |-count n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
m |^ p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
p1 |-> m is Relation-like NAT -defined Function-like finite p1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg p1 is finite p1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg p1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg p1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg p1),{m}:]
[:(Seg p1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg p1),{m}:] is finite V40() set
Product (p1 |-> m) is V11() real ext-real set
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
p1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 - 1 is V11() real integer ext-real Element of REAL
0 + p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
(- 1) + p1 is V11() real integer ext-real Element of REAL
(p1 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((m |-count n) |-> 1) . n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0)) . p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom ((n -' (m |-count n)) |-> 0) is finite n -' (m |-count n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len ((m |-count n) |-> 1)) + n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len ((m |-count n) |-> 1)) + n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 + (m |-count n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 + (m |-count n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
p1 |-> m is Relation-like NAT -defined Function-like finite p1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg p1 is finite p1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg p1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg p1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg p1),{m}:]
[:(Seg p1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg p1),{m}:] is finite V40() set
Product (p1 |-> m) is V11() real ext-real set
m |-count (m |^ p1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n -' (m |-count n)) |-> 0) . n2 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom ((m |-count n) |-> 1) is finite m |-count n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom ((n -' (m |-count n)) |-> 0) is finite n -' (m |-count n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX . 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ 2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
2n |-> m is Relation-like NAT -defined Function-like finite 2n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 2n is finite 2n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg 2n),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg 2n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2n),{m}:]
[:(Seg 2n),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2n),{m}:] is finite V40() set
Product (2n |-> m) is V11() real ext-real set
dom (((m |-count n) |-> 1) ^ ((n -' (m |-count n)) |-> 0)) is finite (m |-count n) + (n -' (m |-count n)) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n is Relation-like NAT -defined RAT -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg n)) is Relation-like Seg n -defined Seg n -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n),(Seg n):]
[:(Seg n),(Seg n):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),(Seg n):] is finite V40() set
Product (idseq n) is V11() real ext-real set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m |-count (n !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq X1 is Relation-like NAT -defined RAT -valued Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg X1 is finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg X1)) is Relation-like Seg X1 -defined Seg X1 -valued INT -valued RAT -valued Function-like one-to-one V25( Seg X1) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),(Seg X1):]
[:(Seg X1),(Seg X1):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),(Seg X1):] is finite V40() set
Product (idseq X1) is V11() real ext-real set
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X1 + 1) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (X1 + 1) is Relation-like NAT -defined RAT -valued Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (X1 + 1) is non empty finite X1 + 1 -element X1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K105((Seg (X1 + 1))) is Relation-like Seg (X1 + 1) -defined Seg (X1 + 1) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (X1 + 1)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (X1 + 1)),(Seg (X1 + 1)):]
[:(Seg (X1 + 1)),(Seg (X1 + 1)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X1 + 1)),(Seg (X1 + 1)):] is finite V40() set
Product (idseq (X1 + 1)) is V11() real ext-real set
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X2 |-count ((X1 + 1) !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |-count (X1 !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X3 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*0*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V80() V101() FinSequence-yielding finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
X3 ^ <*0*> is non empty Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
X2 |-count (X1 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom mm is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 ^ <*0*>) + mm is Relation-like NAT -defined REAL -valued RAT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support FinSequence of REAL
addreal is Relation-like Function-like V29([:REAL,REAL:], REAL ) V59() V60() V61() Element of bool [:[:REAL,REAL:],REAL:]
K330(addreal,(X3 ^ <*0*>),mm) is set
XX is set
rng ((X3 ^ <*0*>) + mm) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
dom ((X3 ^ <*0*>) + mm) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
2n is set
((X3 ^ <*0*>) + mm) . 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom XX is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (X3 ^ <*0*>) is non empty finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
(dom (X3 ^ <*0*>)) /\ (dom mm) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() set
len (X3 ^ <*0*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
len <*0*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len X3) + (len <*0*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX . 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |^ 2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
2n |-> X2 is Relation-like NAT -defined Function-like finite 2n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 2n is finite 2n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg 2n),X2) is Relation-like NAT -defined INT -valued Function-like V29( Seg 2n,{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2n),{X2}:]
{X2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 2n),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2n),{X2}:] is finite V40() set
Product (2n |-> X2) is V11() real ext-real set
(X1 + 1) / (X2 |^ 2n) is non empty V11() real ext-real positive non negative Element of REAL
[\((X1 + 1) / (X2 |^ 2n))/] is V11() real integer ext-real set
(X2 |^ 2n) / (X2 |^ 2n) is non empty V11() real ext-real positive non negative Element of REAL
(X3 ^ <*0*>) . 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm . 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X3 ^ <*0*>) . 2n) + (mm . 2n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 / (X2 |^ 2n) is V11() real ext-real non negative Element of REAL
[\(X1 / (X2 |^ 2n))/] is V11() real integer ext-real set
X3 . 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom <*0*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len X3) + n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len X3) + n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 |^ X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X1 |-> X2 is Relation-like NAT -defined Function-like finite X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg X1),X2) is Relation-like NAT -defined INT -valued Function-like V29( Seg X1,{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X1),{X2}:]
[:(Seg X1),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X1),{X2}:] is finite V40() set
Product (X1 |-> X2) is V11() real ext-real set
X2 * (X2 |^ X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 * (X2 |^ X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 |^ (X1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X1 + 1) |-> X2 is Relation-like NAT -defined Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg (X1 + 1)),X2) is Relation-like NAT -defined INT -valued Function-like V29( Seg (X1 + 1),{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X1 + 1)),{X2}:]
[:(Seg (X1 + 1)),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X1 + 1)),{X2}:] is finite V40() set
Product ((X1 + 1) |-> X2) is V11() real ext-real set
(X2 |^ X1) * X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 - 1 is V11() real integer ext-real Element of REAL
(X1 / (X2 |^ 2n)) - 1 is V11() real ext-real Element of REAL
(X3 ^ <*0*>) . (X1 + 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*0*> . 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal FinSequence-like complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom <*0*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(X2 |^ 2n) * n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 / ((X2 |^ 2n) / (X2 |^ 2n)) is V11() real ext-real non negative Element of REAL
1 / 1 is non empty V11() real ext-real positive non negative Element of REAL
n1 / (1 / 1) is V11() real ext-real non negative Element of REAL
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
(- 1) / (X2 |^ 2n) is non empty V11() real ext-real non positive negative Element of REAL
((X2 |^ 2n) / (X2 |^ 2n)) + ((- 1) / (X2 |^ 2n)) is V11() real ext-real Element of REAL
(((X2 |^ 2n) / (X2 |^ 2n)) + ((- 1) / (X2 |^ 2n))) - 1 is V11() real ext-real Element of REAL
(X2 |^ 2n) + (- 1) is V11() real integer ext-real Element of REAL
((X2 |^ 2n) + (- 1)) / (X2 |^ 2n) is V11() real ext-real Element of REAL
(((X2 |^ 2n) + (- 1)) / (X2 |^ 2n)) - 1 is V11() real ext-real Element of REAL
1 - 1 is V11() real integer ext-real Element of REAL
(X2 |^ 2n) - 1 is V11() real integer ext-real Element of REAL
[\(X1 / (X2 |^ 2n))/] + 1 is V11() real integer ext-real Element of REAL
(X1 / (X2 |^ 2n)) + 1 is non empty V11() real ext-real positive non negative Element of REAL
[\((X1 / (X2 |^ 2n)) + 1)/] is V11() real integer ext-real set
(X1 / (X2 |^ 2n)) + ((X2 |^ 2n) / (X2 |^ 2n)) is non empty V11() real ext-real positive non negative Element of REAL
[\((X1 / (X2 |^ 2n)) + ((X2 |^ 2n) / (X2 |^ 2n)))/] is V11() real integer ext-real set
X1 + (X2 |^ 2n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X1 + (X2 |^ 2n)) / (X2 |^ 2n) is non empty V11() real ext-real positive non negative Element of REAL
[\((X1 + (X2 |^ 2n)) / (X2 |^ 2n))/] is V11() real integer ext-real set
(X1 + 1) + ((X2 |^ 2n) - 1) is V11() real integer ext-real Element of REAL
((X1 + 1) + ((X2 |^ 2n) - 1)) / (X2 |^ 2n) is V11() real ext-real Element of REAL
[\(((X1 + 1) + ((X2 |^ 2n) - 1)) / (X2 |^ 2n))/] is V11() real integer ext-real set
((X2 |^ 2n) - 1) / (X2 |^ 2n) is V11() real ext-real Element of REAL
((X1 + 1) / (X2 |^ 2n)) + (((X2 |^ 2n) - 1) / (X2 |^ 2n)) is V11() real ext-real Element of REAL
[\(((X1 + 1) / (X2 |^ 2n)) + (((X2 |^ 2n) - 1) / (X2 |^ 2n)))/] is V11() real integer ext-real set
[\(((X2 |^ 2n) - 1) / (X2 |^ 2n))/] is V11() real integer ext-real set
((X1 + 1) / (X2 |^ 2n)) + [\(((X2 |^ 2n) - 1) / (X2 |^ 2n))/] is V11() real ext-real Element of REAL
((X1 + 1) / (X2 |^ 2n)) + 0 is non empty V11() real ext-real positive non negative Element of REAL
(X1 + 1) mod (X2 |^ 2n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 + 1) div (X2 |^ 2n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) + ((X1 + 1) mod (X2 |^ 2n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X1 + 1) mod (X2 |^ 2n)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 - 1 is V11() real integer ext-real Element of REAL
((X1 + 1) mod (X2 |^ 2n)) - 1 is V11() real integer ext-real Element of REAL
1 + (X2 |^ 2n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + (X2 |^ 2n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X2 |^ 2n) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((X2 |^ 2n) + 1) - 1 is V11() real integer ext-real Element of REAL
(((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n) is V11() real ext-real Element of REAL
((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)) - 1 is V11() real ext-real Element of REAL
((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n) is V11() real ext-real non negative Element of REAL
(((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)) - 1 is V11() real ext-real Element of REAL
((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) + (((X1 + 1) mod (X2 |^ 2n)) - 1) is V11() real integer ext-real Element of REAL
((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) / (X2 |^ 2n) is V11() real ext-real non negative Element of REAL
(((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) / (X2 |^ 2n)) + ((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)) is V11() real ext-real Element of REAL
[\((((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) / (X2 |^ 2n)) + ((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)))/] is V11() real integer ext-real set
((X1 + 1) div (X2 |^ 2n)) * ((X2 |^ 2n) / (X2 |^ 2n)) is V11() real ext-real non negative Element of REAL
(((X1 + 1) div (X2 |^ 2n)) * ((X2 |^ 2n) / (X2 |^ 2n))) + ((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)) is V11() real ext-real Element of REAL
[\((((X1 + 1) div (X2 |^ 2n)) * ((X2 |^ 2n) / (X2 |^ 2n))) + ((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)))/] is V11() real integer ext-real set
((X1 + 1) div (X2 |^ 2n)) * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((X1 + 1) div (X2 |^ 2n)) * 1) + ((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)) is V11() real ext-real Element of REAL
[\((((X1 + 1) div (X2 |^ 2n)) * 1) + ((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n)))/] is V11() real integer ext-real set
[\((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n))/] is V11() real integer ext-real set
((X1 + 1) div (X2 |^ 2n)) + [\((((X1 + 1) mod (X2 |^ 2n)) - 1) / (X2 |^ 2n))/] is V11() real integer V32() ext-real Element of INT
((X1 + 1) div (X2 |^ 2n)) + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
[\(((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n))/] is V11() real integer ext-real set
((X1 + 1) div (X2 |^ 2n)) + [\(((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n))/] is V11() real integer V32() ext-real Element of INT
(((X1 + 1) div (X2 |^ 2n)) * 1) + (((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)) is V11() real ext-real non negative Element of REAL
[\((((X1 + 1) div (X2 |^ 2n)) * 1) + (((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)))/] is V11() real integer ext-real set
(((X1 + 1) div (X2 |^ 2n)) * ((X2 |^ 2n) / (X2 |^ 2n))) + (((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)) is V11() real ext-real non negative Element of REAL
[\((((X1 + 1) div (X2 |^ 2n)) * ((X2 |^ 2n) / (X2 |^ 2n))) + (((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)))/] is V11() real integer ext-real set
(((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) / (X2 |^ 2n)) + (((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)) is V11() real ext-real non negative Element of REAL
[\((((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) / (X2 |^ 2n)) + (((X1 + 1) mod (X2 |^ 2n)) / (X2 |^ 2n)))/] is V11() real integer ext-real set
(((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) + ((X1 + 1) mod (X2 |^ 2n))) / (X2 |^ 2n) is V11() real ext-real non negative Element of REAL
[\((((X2 |^ 2n) * ((X1 + 1) div (X2 |^ 2n))) + ((X1 + 1) mod (X2 |^ 2n))) / (X2 |^ 2n))/] is V11() real integer ext-real set
(X1 + 1) -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = X1 + 1 } is set
(X2 |-count (X1 !)) + (X2 |-count (X1 + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1 !) * (X1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 |-count ((X1 !) * (X1 + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is Relation-like NAT -defined REAL -valued Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of (X1 + 1) -tuples_on REAL
Sum n1 is V11() real ext-real Element of REAL
2n is Relation-like NAT -defined REAL -valued Function-like finite X1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of (X1 + 1) -tuples_on REAL
Sum 2n is V11() real ext-real Element of REAL
(Sum n1) + (Sum 2n) is V11() real ext-real Element of REAL
(Sum X3) + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Sum X3) + 0) + (X2 |-count (X1 + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X2 |-count ((X1 + 1) !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
<*> NAT is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined NAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() V101() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X2 |-count (0 !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len (<*> NAT) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
dom (<*> NAT) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of bool NAT
Sum (<*> NAT) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(<*> NAT) . X3 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
X2 |^ X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X3 |-> X2 is Relation-like NAT -defined Function-like finite X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X3 is finite X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X3),X2) is Relation-like NAT -defined INT -valued Function-like V29( Seg X3,{X2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X3),{X2}:]
{X2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X3),{X2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X3),{X2}:] is finite V40() set
Product (X3 |-> X2) is V11() real ext-real set
0 / (X2 |^ X3) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of REAL
[\(0 / (X2 |^ X3))/] is V11() real integer ext-real set
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X2 |-> m is Relation-like NAT -defined Function-like finite X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X2 is finite X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X2),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg X2,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X2),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X2),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X2),{m}:] is finite V40() set
Product (X2 |-> m) is V11() real ext-real set
n / (m |^ X2) is V11() real ext-real non negative Element of REAL
[\(n / (m |^ X2))/] is V11() real integer ext-real set
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m |-count ((2 * n) choose n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-> 0 is Relation-like empty-yielding NAT -defined NAT -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V80() V101() FinSequence-yielding finite-support Element of n -tuples_on NAT
n -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = n } is set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),0) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n,{0}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{0}:]
{0} is non empty trivial functional finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{0}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{0}:] is finite V40() set
n ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq n is Relation-like NAT -defined RAT -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
K105((Seg n)) is Relation-like Seg n -defined Seg n -valued INT -valued RAT -valued Function-like one-to-one V25( Seg n) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg n),(Seg n):]
[:(Seg n),(Seg n):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),(Seg n):] is finite V40() set
Product (idseq n) is V11() real ext-real set
m |-count (n !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) ! is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
idseq (2 * n) is Relation-like NAT -defined RAT -valued Function-like finite 2 * n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support set
Seg (2 * n) is finite 2 * n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K105((Seg (2 * n))) is Relation-like Seg (2 * n) -defined Seg (2 * n) -valued INT -valued RAT -valued Function-like one-to-one V25( Seg (2 * n)) finite V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * n)),(Seg (2 * n)):]
[:(Seg (2 * n)),(Seg (2 * n)):] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * n)),(Seg (2 * n)):] is finite V40() set
Product (idseq (2 * n)) is V11() real ext-real set
m |-count ((2 * n) !) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X3 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
X2 ^ (n |-> 0) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
- (X2 ^ (n |-> 0)) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
compreal is Relation-like Function-like V29( REAL , REAL ) V59() V60() V61() Element of bool [:REAL,REAL:]
(X2 ^ (n |-> 0)) * compreal is Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
(- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
addreal is Relation-like Function-like V29([:REAL,REAL:], REAL ) V59() V60() V61() Element of bool [:[:REAL,REAL:],REAL:]
K330(addreal,(- (X2 ^ (n |-> 0))),(- (X2 ^ (n |-> 0)))) is set
X + ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
K330(addreal,X,((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) is set
len (X + ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (X + ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum (X + ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) is V11() real ext-real Element of REAL
dom (X2 ^ (n |-> 0)) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len (n |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len X2) + (len (n |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg ((len X2) + (len (n |-> 0))) is finite (len X2) + (len (n |-> 0)) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n + n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (n + n) is finite n + n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom (- (X2 ^ (n |-> 0))) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(dom (- (X2 ^ (n |-> 0)))) /\ (dom (- (X2 ^ (n |-> 0)))) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() set
dom X is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(dom X) /\ (dom ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() set
(Seg (2 * n)) /\ (Seg (2 * n)) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() set
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X + ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) . mm is V11() real ext-real set
m |^ mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
mm |-> m is Relation-like NAT -defined Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg mm),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg mm,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg mm),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),{m}:] is finite V40() set
Product (mm |-> m) is V11() real ext-real set
(2 * n) / (m |^ mm) is V11() real ext-real non negative Element of REAL
[\((2 * n) / (m |^ mm))/] is V11() real integer ext-real set
n / (m |^ mm) is V11() real ext-real non negative Element of REAL
[\(n / (m |^ mm))/] is V11() real integer ext-real set
2 * [\(n / (m |^ mm))/] is V11() real integer ext-real Element of REAL
[\((2 * n) / (m |^ mm))/] - (2 * [\(n / (m |^ mm))/]) is V11() real integer ext-real Element of REAL
X . mm is V11() real ext-real set
((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) . mm is V11() real ext-real set
(X . mm) + (((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) . mm) is V11() real ext-real Element of REAL
(- (X2 ^ (n |-> 0))) . mm is V11() real ext-real set
((- (X2 ^ (n |-> 0))) . mm) + ((- (X2 ^ (n |-> 0))) . mm) is V11() real ext-real Element of REAL
(X . mm) + (((- (X2 ^ (n |-> 0))) . mm) + ((- (X2 ^ (n |-> 0))) . mm)) is V11() real ext-real Element of REAL
2 * ((- (X2 ^ (n |-> 0))) . mm) is V11() real ext-real Element of REAL
(X . mm) + (2 * ((- (X2 ^ (n |-> 0))) . mm)) is V11() real ext-real Element of REAL
(X2 ^ (n |-> 0)) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- ((X2 ^ (n |-> 0)) . mm) is V11() real integer ext-real non positive Element of REAL
2 * (- ((X2 ^ (n |-> 0)) . mm)) is V11() real integer ext-real non positive Element of REAL
(X . mm) + (2 * (- ((X2 ^ (n |-> 0)) . mm))) is V11() real ext-real Element of REAL
2 * ((X2 ^ (n |-> 0)) . mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X . mm) - (2 * ((X2 ^ (n |-> 0)) . mm)) is V11() real ext-real Element of REAL
[\((2 * n) / (m |^ mm))/] - (2 * ((X2 ^ (n |-> 0)) . mm)) is V11() real integer ext-real Element of REAL
X2 . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (n |-> 0) is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len X2) + XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len X2) + XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + (len X2) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX + (len X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n |-> 0) . XX is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
m to_power (1 + n) is V11() real ext-real set
m to_power mm is V11() real ext-real set
m |^ (1 + n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(1 + n) |-> m is Relation-like NAT -defined Function-like finite 1 + n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1 + n) is non empty finite 1 + n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg (1 + n)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (1 + n),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1 + n)),{m}:]
[:(Seg (1 + n)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1 + n)),{m}:] is finite V40() set
Product ((1 + n) |-> m) is V11() real ext-real set
m |^ n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n |-> m is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg n),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{m}:]
[:(Seg n),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{m}:] is finite V40() set
Product (n |-> m) is V11() real ext-real set
m * (m |^ n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 * (m |^ n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(m |^ n) / (m |^ n) is non empty V11() real ext-real positive non negative Element of REAL
n / (m |^ n) is V11() real ext-real non negative Element of REAL
1 - 1 is V11() real integer ext-real Element of REAL
(n / (m |^ mm)) - 1 is V11() real ext-real Element of REAL
dom (n |-> 0) is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(2 * n) - n is V11() real integer ext-real Element of REAL
n + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n !) * (n !) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * n) choose n) * ((n !) * (n !)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 * n) !) / ((n !) * (n !)) is non empty V11() real ext-real positive non negative Element of REAL
(((2 * n) !) / ((n !) * (n !))) * ((n !) * (n !)) is non empty V11() real ext-real positive non negative Element of REAL
((2 * n) !) div ((n !) * (n !)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((n !) * (n !)) * (((2 * n) !) div ((n !) * (n !))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((n !) * (n !)) * (((2 * n) !) div ((n !) * (n !)))) / ((n !) * (n !)) is V11() real ext-real non negative Element of REAL
len (- (X2 ^ (n |-> 0))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len (- (X2 ^ (n |-> 0)))) -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = len (- (X2 ^ (n |-> 0))) } is set
m |-count (((2 * n) !) div ((n !) * (n !))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |-count ((n !) * (n !)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count ((2 * n) !)) -' (m |-count ((n !) * (n !))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count ((2 * n) !)) - (m |-count ((n !) * (n !))) is V11() real integer ext-real Element of REAL
len ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = len ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) } is set
len X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len X) -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = len X } is set
Sum X is V11() real ext-real Element of REAL
Sum ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0)))) is V11() real ext-real Element of REAL
(Sum X) + (Sum ((- (X2 ^ (n |-> 0))) + (- (X2 ^ (n |-> 0))))) is V11() real ext-real Element of REAL
Sum (- (X2 ^ (n |-> 0))) is V11() real ext-real Element of REAL
(Sum (- (X2 ^ (n |-> 0)))) + (Sum (- (X2 ^ (n |-> 0)))) is V11() real ext-real Element of REAL
(Sum X) + ((Sum (- (X2 ^ (n |-> 0)))) + (Sum (- (X2 ^ (n |-> 0))))) is V11() real ext-real Element of REAL
Sum (X2 ^ (n |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
- (Sum (X2 ^ (n |-> 0))) is V11() real integer ext-real non positive Element of REAL
(- (Sum (X2 ^ (n |-> 0)))) + (Sum (- (X2 ^ (n |-> 0)))) is V11() real ext-real Element of REAL
(Sum X) + ((- (Sum (X2 ^ (n |-> 0)))) + (Sum (- (X2 ^ (n |-> 0))))) is V11() real ext-real Element of REAL
(- (Sum (X2 ^ (n |-> 0)))) + (- (Sum (X2 ^ (n |-> 0)))) is V11() real integer ext-real non positive Element of REAL
(Sum X) + ((- (Sum (X2 ^ (n |-> 0)))) + (- (Sum (X2 ^ (n |-> 0))))) is V11() real ext-real Element of REAL
2 * (Sum (X2 ^ (n |-> 0))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum X) - (2 * (Sum (X2 ^ (n |-> 0)))) is V11() real ext-real Element of REAL
Sum (n |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum X2) + (Sum (n |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * ((Sum X2) + (Sum (n |-> 0))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum X) - (2 * ((Sum X2) + (Sum (n |-> 0)))) is V11() real ext-real Element of REAL
n * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
(Sum X2) + (n * 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * ((Sum X2) + (n * 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum X) - (2 * ((Sum X2) + (n * 0))) is V11() real ext-real Element of REAL
(m |-count (n !)) + (m |-count (n !)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m |-count ((2 * n) !)) - ((m |-count (n !)) + (m |-count (n !))) is V11() real integer ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X1 |^ m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
m |-> X1 is Relation-like NAT -defined Function-like finite m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg m),X1) is Relation-like NAT -defined INT -valued Function-like V29( Seg m,{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg m),{X1}:]
{X1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg m),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg m),{X1}:] is finite V40() set
Product (m |-> X1) is V11() real ext-real set
X1 |^ (m + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(m + 1) |-> X1 is Relation-like NAT -defined Function-like finite m + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (m + 1) is non empty finite m + 1 -element m + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (m + 1)),X1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (m + 1),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m + 1)),{X1}:]
[:(Seg (m + 1)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m + 1)),{X1}:] is finite V40() set
Product ((m + 1) |-> X1) is V11() real ext-real set
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X2 is V11() real ext-real Element of REAL
m |-> 1 is Relation-like NAT -defined NAT -valued Function-like finite m -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support Element of m -tuples_on NAT
m -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = m } is set
K334((Seg m),1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg m,{1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg m),{1}:]
[:(Seg m),{1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg m),{1}:] is finite V40() set
(2 * n) -' m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 * n) -' m) |-> 0 is Relation-like empty-yielding NAT -defined NAT -valued Function-like finite (2 * n) -' m -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V80() V101() FinSequence-yielding finite-support Element of ((2 * n) -' m) -tuples_on NAT
((2 * n) -' m) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = (2 * n) -' m } is set
Seg ((2 * n) -' m) is finite (2 * n) -' m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg ((2 * n) -' m)),0) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg ((2 * n) -' m),{0}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg ((2 * n) -' m)),{0}:]
{0} is non empty trivial functional finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg ((2 * n) -' m)),{0}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg ((2 * n) -' m)),{0}:] is finite V40() set
(m |-> 1) ^ (((2 * n) -' m) |-> 0) is Relation-like NAT -defined REAL -valued Function-like finite m + ((2 * n) -' m) -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
m + ((2 * n) -' m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 to_power m is V11() real ext-real set
X1 to_power (2 * n) is V11() real ext-real set
X1 |^ (2 * n) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(2 * n) |-> X1 is Relation-like NAT -defined Function-like finite 2 * n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2 * n) is finite 2 * n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2 * n)),X1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (2 * n),{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * n)),{X1}:]
[:(Seg (2 * n)),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * n)),{X1}:] is finite V40() set
Product ((2 * n) |-> X1) is V11() real ext-real set
len ((m |-> 1) ^ (((2 * n) -' m) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len (m |-> 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len (((2 * n) -' m) |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len (m |-> 1)) + (len (((2 * n) -' m) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + (len (((2 * n) -' m) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + ((2 * n) -' m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) - m is V11() real integer ext-real Element of REAL
m + ((2 * n) - m) is V11() real integer ext-real Element of REAL
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 . X is V11() real ext-real set
((m |-> 1) ^ (((2 * n) -' m) |-> 0)) . X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ X is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X |-> X1 is Relation-like NAT -defined Function-like finite X -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X is finite X -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X),X1) is Relation-like NAT -defined INT -valued Function-like V29( Seg X,{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X),{X1}:]
[:(Seg X),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X),{X1}:] is finite V40() set
Product (X |-> X1) is V11() real ext-real set
(2 * n) / (X1 |^ X) is V11() real ext-real non negative Element of REAL
[\((2 * n) / (X1 |^ X))/] is V11() real integer ext-real set
n / (X1 |^ X) is V11() real ext-real non negative Element of REAL
[\(n / (X1 |^ X))/] is V11() real integer ext-real set
2 * [\(n / (X1 |^ X))/] is V11() real integer ext-real Element of REAL
[\((2 * n) / (X1 |^ X))/] - (2 * [\(n / (X1 |^ X))/]) is V11() real integer ext-real Element of REAL
Seg (2 * n) is finite 2 * n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom ((m |-> 1) ^ (((2 * n) -' m) |-> 0)) is finite m + ((2 * n) -' m) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom (m |-> 1) is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
- (n / (X1 |^ X)) is V11() real ext-real non positive Element of REAL
- [\(n / (X1 |^ X))/] is V11() real integer V32() ext-real Element of INT
((2 * n) / (X1 |^ X)) - 1 is V11() real ext-real Element of REAL
(- (n / (X1 |^ X))) * 2 is V11() real ext-real non positive Element of REAL
(- [\(n / (X1 |^ X))/]) * 2 is V11() real integer ext-real Element of REAL
- (2 * [\(n / (X1 |^ X))/]) is V11() real integer ext-real Element of REAL
[\((2 * n) / (X1 |^ X))/] + (- (2 * [\(n / (X1 |^ X))/])) is V11() real integer ext-real Element of REAL
2 * (- (n / (X1 |^ X))) is V11() real ext-real non positive Element of REAL
(((2 * n) / (X1 |^ X)) - 1) + (2 * (- (n / (X1 |^ X)))) is V11() real ext-real Element of REAL
2 * (n / (X1 |^ X)) is V11() real ext-real non negative Element of REAL
(2 * (n / (X1 |^ X))) - 1 is V11() real ext-real Element of REAL
((2 * (n / (X1 |^ X))) - 1) + (2 * (- (n / (X1 |^ X)))) is V11() real ext-real Element of REAL
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
(- 1) + 1 is V11() real integer ext-real Element of REAL
(n / (X1 |^ X)) - 1 is V11() real ext-real Element of REAL
- ((n / (X1 |^ X)) - 1) is V11() real ext-real Element of REAL
(- ((n / (X1 |^ X)) - 1)) * 2 is V11() real ext-real Element of REAL
(- (n / (X1 |^ X))) + 1 is V11() real ext-real Element of REAL
2 * ((- (n / (X1 |^ X))) + 1) is V11() real ext-real Element of REAL
(2 * ((- (n / (X1 |^ X))) + 1)) + ((2 * n) / (X1 |^ X)) is V11() real ext-real Element of REAL
(- (2 * [\(n / (X1 |^ X))/])) + [\((2 * n) / (X1 |^ X))/] is V11() real integer ext-real Element of REAL
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(m |-> 1) . X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (((2 * n) -' m) |-> 0) is finite (2 * n) -' m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len (m |-> 1)) + mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len (m |-> 1)) + mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm + m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m + mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 to_power (m + 1) is V11() real ext-real set
X1 to_power X is V11() real ext-real set
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 |^ mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
mm |-> X1 is Relation-like NAT -defined Function-like finite mm -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg mm),X1) is Relation-like NAT -defined INT -valued Function-like V29( Seg mm,{X1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg mm),{X1}:]
[:(Seg mm),{X1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg mm),{X1}:] is finite V40() set
Product (mm |-> X1) is V11() real ext-real set
(X1 |^ X) / (X1 |^ X) is non empty V11() real ext-real positive non negative Element of REAL
1 / 2 is non empty V11() real ext-real positive non negative Element of REAL
((2 * n) / (X1 |^ X)) / 2 is V11() real ext-real non negative Element of REAL
(2 * n) / 2 is V11() real ext-real non negative Element of REAL
((2 * n) / 2) / (X1 |^ X) is V11() real ext-real non negative Element of REAL
1 - 1 is V11() real integer ext-real Element of REAL
(n / (X1 |^ X)) - 1 is V11() real ext-real Element of REAL
((2 * n) / (X1 |^ X)) - 1 is V11() real ext-real Element of REAL
dom (m |-> 1) is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom (((2 * n) -' m) |-> 0) is finite (2 * n) -' m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum ((m |-> 1) ^ (((2 * n) -' m) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum (m |-> 1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum (((2 * n) -' m) |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum (m |-> 1)) + (Sum (((2 * n) -' m) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m * 1) + (Sum (((2 * n) -' m) |-> 0)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 * n) -' m) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
m + (((2 * n) -' m) * 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) / 3 is V11() real ext-real non negative Element of REAL
sqrt (2 * n) is V11() real ext-real Element of REAL
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m |-count ((2 * n) choose n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ (m |-count ((2 * n) choose n)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(m |-count ((2 * n) choose n)) |-> m is Relation-like NAT -defined Function-like finite m |-count ((2 * n) choose n) -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (m |-count ((2 * n) choose n)) is finite m |-count ((2 * n) choose n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (m |-count ((2 * n) choose n))),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (m |-count ((2 * n) choose n)),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (m |-count ((2 * n) choose n))),{m}:]
{m} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (m |-count ((2 * n) choose n))),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (m |-count ((2 * n) choose n))),{m}:] is finite V40() set
Product ((m |-count ((2 * n) choose n)) |-> m) is V11() real ext-real set
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * X1) choose X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X3 |^ X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X2 |-> X3 is Relation-like NAT -defined Function-like finite X2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X2 is finite X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X2),X3) is Relation-like NAT -defined INT -valued Function-like V29( Seg X2,{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X2),{X3}:]
{X3} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg X2),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X2),{X3}:] is finite V40() set
Product (X2 |-> X3) is V11() real ext-real set
X3 |^ (X2 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X2 + 1) |-> X3 is Relation-like NAT -defined Function-like finite X2 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X2 + 1) is non empty finite X2 + 1 -element X2 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (X2 + 1)),X3) is Relation-like NAT -defined INT -valued Function-like V29( Seg (X2 + 1),{X3}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X2 + 1)),{X3}:]
[:(Seg (X2 + 1)),{X3}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X2 + 1)),{X3}:] is finite V40() set
Product ((X2 + 1) |-> X3) is V11() real ext-real set
X3 |-count ((2 * X1) choose X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X is V11() real ext-real Element of REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ (0 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(0 + 1) |-> m is Relation-like NAT -defined Function-like finite 0 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (0 + 1) is non empty finite 0 + 1 -element 0 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (0 + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (0 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (0 + 1)),{m}:]
[:(Seg (0 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (0 + 1)),{m}:] is finite V40() set
Product ((0 + 1) |-> m) is V11() real ext-real set
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |^ 0 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
0 |-> m is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() set
K334((Seg 0),m) is T-Sequence-like Relation-like NAT -defined INT -valued Function-like V29( Seg 0,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 0),{m}:]
[:(Seg 0),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 0),{m}:] is finite V40() set
Product (0 |-> m) is V11() real ext-real set
m * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
1 |-> m is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg 1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{m}:]
[:(Seg 1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{m}:] is finite V40() set
Product (1 |-> m) is V11() real ext-real set
(m |^ 1) * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(1 + 1) |-> m is Relation-like NAT -defined Function-like finite 1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1 + 1) is non empty finite 1 + 1 -element 1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (1 + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (1 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1 + 1)),{m}:]
[:(Seg (1 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1 + 1)),{m}:] is finite V40() set
Product ((1 + 1) |-> m) is V11() real ext-real set
(2 * n) |-> 0 is Relation-like empty-yielding NAT -defined NAT -valued Function-like finite 2 * n -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V80() V101() FinSequence-yielding finite-support Element of (2 * n) -tuples_on NAT
(2 * n) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = 2 * n } is set
Seg (2 * n) is finite 2 * n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2 * n)),0) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2 * n),{0}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2 * n)),{0}:]
{0} is non empty trivial functional finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (2 * n)),{0}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2 * n)),{0}:] is finite V40() set
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Sum X2 is V11() real ext-real Element of REAL
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 . X3 is V11() real ext-real set
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X * m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X * m) / m is V11() real ext-real non negative Element of REAL
m / m is non empty V11() real ext-real positive non negative Element of REAL
X * (m / m) is V11() real ext-real non negative Element of REAL
m * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * m) / m is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) / m is V11() real ext-real non negative Element of REAL
Seg (len X2) is finite len X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
m * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * n) / 3) * 3 is V11() real ext-real non negative Element of REAL
3 * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(3 * m) / m is non empty V11() real ext-real positive non negative Element of REAL
3 - 1 is V11() real integer ext-real Element of REAL
((2 * n) / m) - 1 is V11() real ext-real Element of REAL
4 * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * m) * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((2 * m) * 2) / 2 is non empty V11() real ext-real positive non negative Element of REAL
(n * 2) / 2 is V11() real ext-real non negative Element of REAL
n / m is V11() real ext-real non negative Element of REAL
2 - 1 is V11() real integer ext-real Element of REAL
(n / m) - 1 is V11() real ext-real Element of REAL
1 * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(1 * m) / m is non empty V11() real ext-real positive non negative Element of REAL
[\(n / m)/] is V11() real integer ext-real set
m |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
1 |-> m is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg 1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{m}:]
[:(Seg 1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{m}:] is finite V40() set
Product (1 |-> m) is V11() real ext-real set
(2 * n) / (m |^ 1) is V11() real ext-real non negative Element of REAL
[\((2 * n) / (m |^ 1))/] is V11() real integer ext-real set
n / (m |^ 1) is V11() real ext-real non negative Element of REAL
[\(n / (m |^ 1))/] is V11() real integer ext-real set
2 * [\(n / (m |^ 1))/] is V11() real integer ext-real Element of REAL
[\((2 * n) / (m |^ 1))/] - (2 * [\(n / (m |^ 1))/]) is V11() real integer ext-real Element of REAL
[\((2 * n) / m)/] is V11() real integer ext-real set
[\((2 * n) / m)/] - (2 * [\(n / (m |^ 1))/]) is V11() real integer ext-real Element of REAL
2 * [\(n / m)/] is V11() real integer ext-real Element of REAL
[\((2 * n) / m)/] - (2 * [\(n / m)/]) is V11() real integer ext-real Element of REAL
2 * 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 - (2 * 1) is V11() real integer ext-real Element of REAL
X3 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
3 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(m * 3) / 3 is non empty V11() real ext-real positive non negative Element of REAL
(2 * 3) / 3 is non empty V11() real ext-real positive non negative Element of REAL
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
1 |-> m is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg 1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{m}:]
[:(Seg 1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{m}:] is finite V40() set
Product (1 |-> m) is V11() real ext-real set
(m |^ 1) * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(1 + 1) |-> m is Relation-like NAT -defined Function-like finite 1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1 + 1) is non empty finite 1 + 1 -element 1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (1 + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (1 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1 + 1)),{m}:]
[:(Seg (1 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1 + 1)),{m}:] is finite V40() set
Product ((1 + 1) |-> m) is V11() real ext-real set
m to_power 2 is V11() real ext-real set
m to_power X3 is V11() real ext-real set
m |^ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
2 |-> m is Relation-like NAT -defined Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg 2),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg 2,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2),{m}:]
[:(Seg 2),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2),{m}:] is finite V40() set
Product (2 |-> m) is V11() real ext-real set
m |^ X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X3 |-> m is Relation-like NAT -defined Function-like finite X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X3 is finite X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X3),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg X3,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X3),{m}:]
[:(Seg X3),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X3),{m}:] is finite V40() set
Product (X3 |-> m) is V11() real ext-real set
(m |^ X3) / (m |^ X3) is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) / (m |^ X3) is V11() real ext-real non negative Element of REAL
1 - 1 is V11() real integer ext-real Element of REAL
((2 * n) / (m |^ X3)) - 1 is V11() real ext-real Element of REAL
[\((2 * n) / (m |^ X3))/] is V11() real integer ext-real set
1 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n / (m |^ X3) is V11() real ext-real non negative Element of REAL
(n / (m |^ X3)) - 1 is V11() real ext-real Element of REAL
[\(n / (m |^ X3))/] is V11() real integer ext-real set
2 * [\(n / (m |^ X3))/] is V11() real integer ext-real Element of REAL
[\((2 * n) / (m |^ X3))/] - (2 * [\(n / (m |^ X3))/]) is V11() real integer ext-real Element of REAL
2 * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
0 - (2 * 0) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of REAL
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X2 . X3 is V11() real ext-real set
((2 * n) |-> 0) . X3 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
dom ((2 * n) |-> 0) is finite 2 * n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(2 * n) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
m * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(sqrt (2 * n)) * m is V11() real ext-real Element of REAL
m * (sqrt (2 * n)) is V11() real ext-real Element of REAL
(sqrt (2 * n)) * (sqrt (2 * n)) is V11() real ext-real Element of REAL
(sqrt (2 * n)) ^2 is V11() real ext-real Element of REAL
K37((sqrt (2 * n)),(sqrt (2 * n))) is V11() real ext-real set
m |^ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
1 |-> m is non empty trivial Relation-like NAT -defined Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support set
K334((Seg 1),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg 1,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 1),{m}:]
[:(Seg 1),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 1),{m}:] is finite V40() set
Product (1 |-> m) is V11() real ext-real set
(m |^ 1) * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m |^ (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(1 + 1) |-> m is Relation-like NAT -defined Function-like finite 1 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (1 + 1) is non empty finite 1 + 1 -element 1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (1 + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (1 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (1 + 1)),{m}:]
[:(Seg (1 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (1 + 1)),{m}:] is finite V40() set
Product ((1 + 1) |-> m) is V11() real ext-real set
1 / 3 is non empty V11() real ext-real positive non negative Element of REAL
(1 / 3) * (2 * n) is V11() real ext-real non negative Element of REAL
1 * (2 * n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(sqrt (2 * n)) * m is V11() real ext-real Element of REAL
m * (sqrt (2 * n)) is V11() real ext-real Element of REAL
(sqrt (2 * n)) * (sqrt (2 * n)) is V11() real ext-real Element of REAL
(sqrt (2 * n)) ^2 is V11() real ext-real Element of REAL
K37((sqrt (2 * n)),(sqrt (2 * n))) is V11() real ext-real set
log (m,(2 * n)) is V11() real ext-real set
[\(log (m,(2 * n)))/] is V11() real integer ext-real set
(log (m,(2 * n))) - 1 is V11() real ext-real Element of REAL
1 * m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
log (m,m) is V11() real ext-real set
1 - 1 is V11() real integer ext-real Element of REAL
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m to_power X3 is V11() real ext-real set
m to_power (log (m,(2 * n))) is V11() real ext-real set
m |^ X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
X3 |-> m is Relation-like NAT -defined Function-like finite X3 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg X3 is finite X3 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg X3),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg X3,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg X3),{m}:]
[:(Seg X3),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg X3),{m}:] is finite V40() set
Product (X3 |-> m) is V11() real ext-real set
X3 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
((log (m,(2 * n))) - 1) + 1 is V11() real ext-real Element of REAL
m to_power (X3 + 1) is V11() real ext-real set
m |^ (X3 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(X3 + 1) |-> m is Relation-like NAT -defined Function-like finite X3 + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (X3 + 1) is non empty finite X3 + 1 -element X3 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X3 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (X3 + 1)),m) is Relation-like NAT -defined INT -valued Function-like V29( Seg (X3 + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (X3 + 1)),{m}:]
[:(Seg (X3 + 1)),{m}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (X3 + 1)),{m}:] is finite V40() set
Product ((X3 + 1) |-> m) is V11() real ext-real set
m to_power (m |-count ((2 * n) choose n)) is V11() real ext-real set
n is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X1 is Relation-like NAT -defined Function-like finite FinSequence-like FinSubsequence-like finite-support set
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X2 is set
rng X1 is finite set
X3 is set
X1 . X3 is set
X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n . X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |-count (n . X) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X3 is set
X2 . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |-count (n . X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Seg (len X1) is finite len X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Seg (len X2) is finite len X2 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
X1 . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m |-count (n . X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(m,n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len (m,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
m ^ X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((m ^ X1),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(m,n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(X1,n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(m,n) ^ (X1,n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len (X1,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom ((m ^ X1),n) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len ((m ^ X1),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len ((m ^ X1),n)) is finite len ((m ^ X1),n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len (m ^ X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len (m ^ X1)) is finite len (m ^ X1) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
((m ^ X1),n) . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((m,n) ^ (X1,n)) . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (m ^ X1) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom m is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len m) is finite len m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len (m,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len (m,n)) is finite len (m,n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom (m,n) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(m ^ X1) . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count ((m ^ X1) . X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (m . X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m,n) . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len X1) is finite len X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Seg (len (X1,n)) is finite len (X1,n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom (X1,n) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len m) + X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(len m) + X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len (m,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len (m,n)) + X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((m,n) ^ (X1,n)) . ((len (m,n)) + X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1,n) . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(m ^ X1) . X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 . X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (X1 . X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom m is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len m) + (len X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg ((len m) + (len X1)) is finite (len m) + (len X1) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len (m,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len (m,n)) + (len (X1,n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg ((len (m,n)) + (len (X1,n))) is finite (len (m,n)) + (len (X1,n)) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len ((m,n) ^ (X1,n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len ((m,n) ^ (X1,n))) is finite len ((m,n) ^ (X1,n)) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom ((m,n) ^ (X1,n)) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
<*m*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
(<*m*>,n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
n |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*(n |-count m)*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
dom (<*m*>,n) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len (<*m*>,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len (<*m*>,n)) is finite len (<*m*>,n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len <*m*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Seg (len <*m*>) is non empty finite len <*m*> -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
(<*m*>,n) . X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*(n |-count m)*> . X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*m*> . X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (<*m*> . X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len <*(n |-count m)*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Seg (len <*(n |-count m)*>) is non empty finite len <*(n |-count m)*> -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
dom <*(n |-count m)*> is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
n is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m |-count (Product n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n,m) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (n,m) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X3 |-count (Product X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2,X3) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (X2,X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*mm*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
X ^ <*mm*> is non empty Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len <*mm*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len X) + (len <*mm*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len X) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Product X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product X) * mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count ((Product X) * mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count (Product X) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 |-count mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X3 |-count (Product X)) + (X3 |-count mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X,X3) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (X,X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum (X,X3)) + (X3 |-count mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*(X3 |-count mm)*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
(X,X3) ^ <*(X3 |-count mm)*> is non empty Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((X,X3) ^ <*(X3 |-count mm)*>) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(<*mm*>,X3) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(X,X3) ^ (<*mm*>,X3) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((X,X3) ^ (<*mm*>,X3)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((X ^ <*mm*>),X3) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((X ^ <*mm*>),X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X3 |-count (Product X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X2,X3) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (X2,X3) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
X2 |-count (Product X1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(X1,X2) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (X1,X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom n is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Product n is V11() real ext-real Element of REAL
Product m is V11() real ext-real Element of REAL
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Product X2 is V11() real ext-real Element of REAL
Product X3 is V11() real ext-real Element of REAL
X is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
mm is V11() real ext-real Element of REAL
<*mm*> is non empty trivial Relation-like NAT -defined REAL -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support Element of REAL *
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
X ^ <*mm*> is non empty Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len <*mm*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len X) + (len <*mm*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len X) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Product X is V11() real ext-real Element of REAL
(Product X) * mm is V11() real ext-real Element of REAL
mm is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
XX is V11() real ext-real Element of REAL
<*XX*> is non empty trivial Relation-like NAT -defined REAL -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support Element of REAL *
mm ^ <*XX*> is non empty Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len mm) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Product mm is V11() real ext-real Element of REAL
(Product mm) * XX is V11() real ext-real Element of REAL
len <*XX*> is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(len mm) + (len <*XX*>) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
dom mm is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg (len X) is finite len X -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
dom X is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
X3 . n1 is V11() real ext-real set
X . n1 is V11() real ext-real set
X2 . n1 is V11() real ext-real set
mm . n1 is V11() real ext-real set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm . n1 is V11() real ext-real set
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
Seg (X1 + 1) is non empty finite X1 + 1 -element X1 + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X2 . ((len mm) + 1) is V11() real ext-real set
X3 . ((len mm) + 1) is V11() real ext-real set
XX * (Product X) is V11() real ext-real Element of REAL
mm * (Product X) is V11() real ext-real Element of REAL
(Product X) * XX is V11() real ext-real Element of REAL
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X2 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Product X2 is V11() real ext-real Element of REAL
Product X3 is V11() real ext-real Element of REAL
X1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom X1 is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Product X1 is V11() real ext-real Element of REAL
Product X2 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
m is V11() real ext-real Element of REAL
(n + 1) |-> m is Relation-like NAT -defined REAL -valued Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of (n + 1) -tuples_on REAL
(n + 1) -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = n + 1 } is set
Seg (n + 1) is non empty finite n + 1 -element n + 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
K334((Seg (n + 1)),m) is Relation-like NAT -defined Function-like V29( Seg (n + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of bool [:(Seg (n + 1)),{m}:]
{m} is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
[:(Seg (n + 1)),{m}:] is Relation-like finite V59() V60() V61() set
bool [:(Seg (n + 1)),{m}:] is finite V40() set
Product ((n + 1) |-> m) is V11() real ext-real Element of REAL
n |-> m is Relation-like NAT -defined REAL -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of n -tuples_on REAL
n -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = n } is set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),m) is Relation-like NAT -defined Function-like V29( Seg n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of bool [:(Seg n),{m}:]
[:(Seg n),{m}:] is Relation-like finite V59() V60() V61() set
bool [:(Seg n),{m}:] is finite V40() set
<*m*> is non empty trivial Relation-like NAT -defined REAL -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V63() V64() V65() V66() finite-support Element of REAL *
(n |-> m) ^ <*m*> is non empty Relation-like NAT -defined REAL -valued Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
Product ((n |-> m) ^ <*m*>) is V11() real ext-real Element of REAL
Product (n |-> m) is V11() real ext-real Element of REAL
(Product (n |-> m)) * m is V11() real ext-real Element of REAL
m to_power n is V11() real ext-real Element of REAL
(m to_power n) * m is V11() real ext-real Element of REAL
m to_power 1 is V11() real ext-real Element of REAL
(m to_power n) * (m to_power 1) is V11() real ext-real Element of REAL
m to_power (n + 1) is V11() real ext-real Element of REAL
m is V11() real ext-real Element of REAL
(n + 1) |-> m is Relation-like NAT -defined REAL -valued Function-like finite n + 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of (n + 1) -tuples_on REAL
K334((Seg (n + 1)),m) is Relation-like NAT -defined Function-like V29( Seg (n + 1),{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of bool [:(Seg (n + 1)),{m}:]
{m} is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
[:(Seg (n + 1)),{m}:] is Relation-like finite V59() V60() V61() set
bool [:(Seg (n + 1)),{m}:] is finite V40() set
Product ((n + 1) |-> m) is V11() real ext-real Element of REAL
m to_power (n + 1) is V11() real ext-real set
n is V11() real ext-real Element of REAL
0 |-> n is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined REAL -valued Function-like one-to-one constant functional ext-real non positive non negative finite finite-yielding V40() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of 0 -tuples_on REAL
0 -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = 0 } is set
K334((Seg 0),n) is T-Sequence-like Relation-like NAT -defined Function-like V29( Seg 0,{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of bool [:(Seg 0),{n}:]
{n} is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
[:(Seg 0),{n}:] is Relation-like finite V59() V60() V61() set
bool [:(Seg 0),{n}:] is finite V40() set
Product (0 |-> n) is V11() real ext-real Element of REAL
n to_power 0 is V11() real ext-real set
m is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-> m is Relation-like NAT -defined REAL -valued Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of n -tuples_on REAL
n -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
REAL * is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b1 where b1 is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of REAL * : len b1 = n } is set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),m) is Relation-like NAT -defined Function-like V29( Seg n,{m}) finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of bool [:(Seg n),{m}:]
{m} is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
[:(Seg n),{m}:] is Relation-like finite V59() V60() V61() set
bool [:(Seg n),{m}:] is finite V40() set
Product (n |-> m) is V11() real ext-real Element of REAL
m to_power n is V11() real ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : P1[m,X1,b1] } is set
X2 is set
Sgm X2 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (Sgm X2) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
Seg X1 is non empty finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sgm X2) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is set
XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ (XX |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(XX |-count X1) |-> XX is Relation-like NAT -defined Function-like finite XX |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (XX |-count X1) is finite XX |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (XX |-count X1)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (XX |-count X1),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (XX |-count X1)),{XX}:]
{XX} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (XX |-count X1)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (XX |-count X1)),{XX}:] is finite V40() set
Product ((XX |-count X1) |-> XX) is V11() real ext-real set
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng (Sgm X2) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (mm |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm |-count X1) |-> mm is Relation-like NAT -defined Function-like finite mm |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (mm |-count X1) is finite mm |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (mm |-count X1)),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (mm |-count X1),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm |-count X1)),{mm}:]
{mm} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (mm |-count X1)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm |-count X1)),{mm}:] is finite V40() set
Product ((mm |-count X1) |-> mm) is V11() real ext-real set
rng (Sgm X2) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : P1[m,X1,b1] } is set
n |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |^ (n |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(n |-count X1) |-> n is Relation-like NAT -defined Function-like finite n |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n |-count X1) is finite n |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n |-count X1)),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n |-count X1),{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n |-count X1)),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n |-count X1)),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n |-count X1)),{n}:] is finite V40() set
Product ((n |-count X1) |-> n) is V11() real ext-real set
X2 is set
Sgm X2 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (Product (Sgm X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Sgm X2),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
len ((Sgm X2),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len ((Sgm X2),n)) |-> 0 is Relation-like empty-yielding NAT -defined NAT -valued Function-like finite len ((Sgm X2),n) -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V80() V101() FinSequence-yielding finite-support Element of (len ((Sgm X2),n)) -tuples_on NAT
(len ((Sgm X2),n)) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = len ((Sgm X2),n) } is set
Seg (len ((Sgm X2),n)) is finite len ((Sgm X2),n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (len ((Sgm X2),n))),0) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (len ((Sgm X2),n)),{0}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (len ((Sgm X2),n))),{0}:]
{0} is non empty trivial functional finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (len ((Sgm X2),n))),{0}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (len ((Sgm X2),n))),{0}:] is finite V40() set
Seg X1 is non empty finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
((Sgm X2),n) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((len ((Sgm X2),n)) |-> 0) . mm is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
dom ((Sgm X2),n) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
(Sgm X2) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count ((Sgm X2) . mm) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is set
2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n |^ (2n |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2n |-count X1) |-> 2n is Relation-like NAT -defined Function-like finite 2n |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2n |-count X1) is finite 2n |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2n |-count X1)),2n) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2n |-count X1),{2n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2n |-count X1)),{2n}:]
{2n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (2n |-count X1)),{2n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2n |-count X1)),{2n}:] is finite V40() set
Product ((2n |-count X1) |-> 2n) is V11() real ext-real set
2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng (Sgm X2) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
len (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (Sgm X2) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ (XX |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(XX |-count X1) |-> XX is Relation-like NAT -defined Function-like finite XX |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (XX |-count X1) is finite XX |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (XX |-count X1)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (XX |-count X1),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (XX |-count X1)),{XX}:]
{XX} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (XX |-count X1)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (XX |-count X1)),{XX}:] is finite V40() set
Product ((XX |-count X1) |-> XX) is V11() real ext-real set
Sum ((Sgm X2),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
len ((len ((Sgm X2),n)) |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum ((len ((Sgm X2),n)) |-> 0) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len ((Sgm X2),n)) * 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real integer Relation-like non-empty empty-yielding NAT -defined RAT -valued Function-like one-to-one constant functional V32() ext-real non positive non negative finite finite-yielding V40() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered V59() V60() V61() V62() complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V75() V80() FinSequence-yielding finite-support V193() V194() V195() V196() Element of NAT
n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : P1[m,X1,b1] } is set
n |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |^ (n |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(n |-count X1) |-> n is Relation-like NAT -defined Function-like finite n |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n |-count X1) is finite n |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n |-count X1)),n) is Relation-like NAT -defined INT -valued Function-like V29( Seg (n |-count X1),{n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n |-count X1)),{n}:]
{n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n |-count X1)),{n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n |-count X1)),{n}:] is finite V40() set
Product ((n |-count X1) |-> n) is V11() real ext-real set
X2 is set
Sgm X2 is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm X2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (Product (Sgm X2)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg X1 is non empty finite X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } is set
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } is set
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2n |^ (2n |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2n |-count X1) |-> 2n is Relation-like NAT -defined Function-like finite 2n |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (2n |-count X1) is finite 2n |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (2n |-count X1)),2n) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (2n |-count X1),{2n}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (2n |-count X1)),{2n}:]
{2n} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (2n |-count X1)),{2n}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (2n |-count X1)),{2n}:] is finite V40() set
Product ((2n |-count X1) |-> 2n) is V11() real ext-real set
2n |^ (2n |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (mm |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm |-count X1) |-> mm is Relation-like NAT -defined Function-like finite mm |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (mm |-count X1) is finite mm |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (mm |-count X1)),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (mm |-count X1),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm |-count X1)),{mm}:]
{mm} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (mm |-count X1)),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm |-count X1)),{mm}:] is finite V40() set
Product ((mm |-count X1) |-> mm) is V11() real ext-real set
mm |^ (mm |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } is set
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } is set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
p1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |^ (p1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(p1 |-count X1) |-> p1 is Relation-like NAT -defined Function-like finite p1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (p1 |-count X1) is finite p1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (p1 |-count X1)),p1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (p1 |-count X1),{p1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (p1 |-count X1)),{p1}:]
{p1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (p1 |-count X1)),{p1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (p1 |-count X1)),{p1}:] is finite V40() set
Product ((p1 |-count X1) |-> p1) is V11() real ext-real set
p1 |^ (p1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count X1) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count X1) is finite n2 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count X1)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count X1),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count X1)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count X1)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count X1)),{n2}:] is finite V40() set
Product ((n2 |-count X1) |-> n2) is V11() real ext-real set
n2 |^ (n2 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } is set
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is set
{(n |^ (n |-count X1))} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n |-count (n |^ (n |-count X1)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n |-count X1) * (n |-count n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(n |-count X1) * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } is set
Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm ( { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm ( { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } )),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((Sgm ( { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } )),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ) ^ (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ) ^ (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } )),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ) ^ (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } )),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ),n) ^ ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ),n) ^ ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ),n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ),n)) + (Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ),n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (Product (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
{ (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } is set
n1 is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count X1) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count X1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count X1) is finite n1 |-count X1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count X1)),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count X1),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count X1)),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count X1)),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count X1)),{n1}:] is finite V40() set
Product ((n1 |-count X1) |-> n1) is V11() real ext-real set
n1 |^ (n1 |-count X1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
n1 is set
Product (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count (Product (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S4[m,X1,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X2 \/ X2 is set
((Sgm X2),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((Sgm X2),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm ( { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ) is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm ( { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } )),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((Sgm ( { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } \/ { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } )),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ) ^ (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
(((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ) ^ (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } )),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ) ^ (Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } )),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ),n) ^ ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ),n) ^ ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ),n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ),n)) + (Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[m,X1,b1] } ),n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[m,X1,b1] } ),n)) + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
0 + (Sum ((Sgm { (b1 |^ (b1 |-count X1)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[m,X1,b1] } ),n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm {(n |^ (n |-count X1))} is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
((Sgm {(n |^ (n |-count X1))}),n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum ((Sgm {(n |^ (n |-count X1))}),n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
<*n1*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
(<*n1*>,n) is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sum (<*n1*>,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n |-count n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
<*(n |-count n1)*> is non empty trivial Relation-like NAT -defined NAT -valued Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V63() V64() V65() V66() V101() finite-support Element of NAT *
Sum <*(n |-count n1)*> is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
sqrt (2 * n) is V11() real ext-real Element of REAL
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } is set
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) / 3 is V11() real ext-real non negative Element of REAL
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count m <= 0 ) } is set
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count m <= 0 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count m <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count m <= 0 ) } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= n & b1 <= 2 * n & not b1 |-count m <= 0 ) } is set
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= n & b1 <= 2 * n & not b1 |-count m <= 0 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= n & b1 <= 2 * n & not b1 |-count m <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count m <= 0 ) } ))) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= n & b1 <= 2 * n & not b1 |-count m <= 0 ) } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } is set
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } is set
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } is set
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } ))) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
3 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3 * n) / 3 is V11() real ext-real non negative Element of REAL
sqrt 3 is V11() real ext-real Element of REAL
sqrt 2 is V11() real ext-real Element of REAL
sqrt n is V11() real ext-real Element of REAL
(sqrt n) * (sqrt n) is V11() real ext-real Element of REAL
(sqrt 2) * (sqrt n) is V11() real ext-real Element of REAL
n ^2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
K37(n,n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real non negative finite cardinal set
sqrt (n ^2) is V11() real ext-real set
4 |^ n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n |-> 4 is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),4) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n,{4}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{4}:]
{4} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{4}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{4}:] is finite V40() set
Product (n |-> 4) is V11() real ext-real set
(4 |^ n) / (2 * n) is V11() real ext-real non negative Element of REAL
((4 |^ n) / (2 * n)) * (2 * n) is V11() real ext-real non negative Element of REAL
m * (2 * n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |^ (p1 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(p1 |-count m) |-> p1 is Relation-like NAT -defined Function-like finite p1 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (p1 |-count m) is finite p1 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (p1 |-count m)),p1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (p1 |-count m),{p1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (p1 |-count m)),{p1}:]
{p1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (p1 |-count m)),{p1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (p1 |-count m)),{p1}:] is finite V40() set
Product ((p1 |-count m) |-> p1) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |^ (p1 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(p1 |-count m) |-> p1 is Relation-like NAT -defined Function-like finite p1 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (p1 |-count m) is finite p1 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (p1 |-count m)),p1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (p1 |-count m),{p1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (p1 |-count m)),{p1}:]
{p1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (p1 |-count m)),{p1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (p1 |-count m)),{p1}:] is finite V40() set
Product ((p1 |-count m) |-> p1) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |^ (p1 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(p1 |-count m) |-> p1 is Relation-like NAT -defined Function-like finite p1 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (p1 |-count m) is finite p1 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (p1 |-count m)),p1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (p1 |-count m),{p1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (p1 |-count m)),{p1}:]
{p1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (p1 |-count m)),{p1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (p1 |-count m)),{p1}:] is finite V40() set
Product ((p1 |-count m) |-> p1) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |^ (p1 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(p1 |-count m) |-> p1 is Relation-like NAT -defined Function-like finite p1 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (p1 |-count m) is finite p1 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (p1 |-count m)),p1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (p1 |-count m),{p1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (p1 |-count m)),{p1}:]
{p1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (p1 |-count m)),{p1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (p1 |-count m)),{p1}:] is finite V40() set
Product ((p1 |-count m) |-> p1) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime ext-real positive non negative finite cardinal set
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 |^ (p1 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(p1 |-count m) |-> p1 is Relation-like NAT -defined Function-like finite p1 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (p1 |-count m) is finite p1 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (p1 |-count m)),p1) is Relation-like NAT -defined INT -valued Function-like V29( Seg (p1 |-count m),{p1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (p1 |-count m)),{p1}:]
{p1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (p1 |-count m)),{p1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (p1 |-count m)),{p1}:] is finite V40() set
Product ((p1 |-count m) |-> p1) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n2 |^ (n2 |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n2 |-count m) |-> n2 is Relation-like NAT -defined Function-like finite n2 |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n2 |-count m) is finite n2 |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n2 |-count m)),n2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n2 |-count m),{n2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n2 |-count m)),{n2}:]
{n2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n2 |-count m)),{n2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n2 |-count m)),{n2}:] is finite V40() set
Product ((n2 |-count m) |-> n2) is V11() real ext-real set
p is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p |-count (((Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S3[n,m,b1] } )) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S2[n,m,b1] } ))) * (Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : S1[n,m,b1] } ))) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 * n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
p |-count (n1 * n2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
p |-count p1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(p |-count (n1 * n2)) + (p |-count p1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p |-count n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
p |-count n2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(p |-count n1) + (p |-count n2) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((p |-count n1) + (p |-count n2)) + (p |-count p1) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X3 is V11() real ext-real Element of REAL
X3 - 1 is V11() real ext-real Element of REAL
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
{ F1(b1,X2) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= X3 - 1 & P1[b1,X2] ) } is set
{ F1(b1,X2) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= X3 - 1 & b1 <= X3 & P1[b1,X2] ) } is set
0 + X1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
1 + X1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
X is finite set
{ F1(b1,X2) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= X3 & P1[b1,X2] ) } is set
2n is set
{ F1(b1,X2) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= X3 - 1 & P1[b1,X2] ) } \/ { F1(b1,X2) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= X3 - 1 & b1 <= X3 & P1[b1,X2] ) } is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
F1(n1,X2) is set
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
(- 1) + X3 is V11() real ext-real Element of REAL
0 + X3 is V11() real ext-real Element of REAL
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
F1(n1,X2) is set
2n is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
F1(n1,X2) is set
[\X3/] is V11() real integer ext-real set
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
[\X3/] + (- 1) is V11() real integer ext-real Element of REAL
X3 + (- 1) is V11() real ext-real Element of REAL
[\(X3 + (- 1))/] is V11() real integer ext-real set
[\(X3 - 1)/] is V11() real integer ext-real set
2n is finite set
card 2n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
card X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
n1 is set
n1 is set
{n1} is non empty trivial finite 1 -element set
n1 is set
n1 is set
p1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
F1(p1,X2) is set
n2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
F1(n2,X2) is set
card X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
(card 2n) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
card X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
n1 is set
mm is finite set
X3 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X is V11() real ext-real Element of REAL
{ F1(b1,X3) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= X & P1[b1,X3] ) } is set
[\X/] is V11() real integer ext-real set
card mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
X3 is V11() real ext-real Element of REAL
{ F1(b1,X2) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= X3 & P1[b1,X2] ) } is set
[\X3/] is V11() real integer ext-real set
X is finite set
card X is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
X3 - 1 is V11() real ext-real Element of REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(X3 - 1) + 1 is V11() real ext-real Element of REAL
mm is set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
F1(mm,X2) is set
X1 is V11() real ext-real Element of REAL
{ F1(b1,m) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= X1 & P1[b1,m] ) } is set
[\X1/] is V11() real integer ext-real set
X2 is finite set
card X2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
sqrt (2 * n) is V11() real ext-real Element of REAL
{ (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } is set
Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(2 * n) to_power (sqrt (2 * n)) is V11() real ext-real Element of REAL
Seg m is finite m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) |-> (2 * n) is Relation-like NAT -defined NAT -valued Function-like finite len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support Element of (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) -tuples_on NAT
(len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b1 where b1 is Relation-like NAT -defined NAT -valued Function-like finite FinSequence-like FinSubsequence-like finite-support Element of NAT * : len b1 = len (Sgm { (b1 |^ (b1 |-count m)) where b2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) } is set
Seg (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) is finite len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ))),(2 * n)) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )),{(2 * n)}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ))),{(2 * n)}:]
{(2 * n)} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ))),{(2 * n)}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ))),{(2 * n)}:] is finite V40() set
4 |^ n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n |-> 4 is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),4) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n,{4}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{4}:]
{4} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{4}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{4}:] is finite V40() set
Product (n |-> 4) is V11() real ext-real set
(4 |^ n) / (2 * n) is V11() real ext-real non negative Element of REAL
((4 |^ n) / (2 * n)) * (2 * n) is V11() real ext-real non negative Element of REAL
m * (2 * n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is set
XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ (XX |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(XX |-count m) |-> XX is Relation-like NAT -defined Function-like finite XX |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (XX |-count m) is finite XX |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (XX |-count m)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (XX |-count m),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (XX |-count m)),{XX}:]
{XX} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (XX |-count m)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (XX |-count m)),{XX}:] is finite V40() set
Product ((XX |-count m) |-> XX) is V11() real ext-real set
XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
dom (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
rng (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
(Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } ) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) |-> (2 * n)) . mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
XX |-count m is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
XX |^ (XX |-count m) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(XX |-count m) |-> XX is Relation-like NAT -defined Function-like finite XX |-count m -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (XX |-count m) is finite XX |-count m -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (XX |-count m)),XX) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (XX |-count m),{XX}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (XX |-count m)),{XX}:]
{XX} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (XX |-count m)),{XX}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (XX |-count m)),{XX}:] is finite V40() set
Product ((XX |-count m) |-> XX) is V11() real ext-real set
len ((len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) |-> (2 * n)) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
rng ((len (Sgm { (b1 |^ (b1 |-count m)) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count m <= 0 ) } )) |-> (2 * n)) is finite complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool REAL
XX is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
len XX is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm is finite set
card mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of omega
[\(sqrt (2 * n))/] is V11() real integer ext-real set
Product XX is V11() real ext-real Element of REAL
2n is Relation-like NAT -defined REAL -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support FinSequence of REAL
Product 2n is V11() real ext-real Element of REAL
(2 * n) to_power (len XX) is V11() real ext-real Element of REAL
3 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
4000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * n) choose n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
sqrt (2 * n) is V11() real ext-real Element of REAL
{ (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count ((2 * n) choose n) <= 0 ) } is set
(2 * n) / 3 is V11() real ext-real non negative Element of REAL
{ (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count ((2 * n) choose n) <= 0 ) } is set
{ (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= n & b1 <= 2 * n & not b1 |-count ((2 * n) choose n) <= 0 ) } is set
X is set
mm is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
mm |-count ((2 * n) choose n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
mm |^ (mm |-count ((2 * n) choose n)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(mm |-count ((2 * n) choose n)) |-> mm is Relation-like NAT -defined Function-like finite mm |-count ((2 * n) choose n) -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (mm |-count ((2 * n) choose n)) is finite mm |-count ((2 * n) choose n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (mm |-count ((2 * n) choose n))),mm) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (mm |-count ((2 * n) choose n)),{mm}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (mm |-count ((2 * n) choose n))),{mm}:]
{mm} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (mm |-count ((2 * n) choose n))),{mm}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (mm |-count ((2 * n) choose n))),{mm}:] is finite V40() set
Product ((mm |-count ((2 * n) choose n)) |-> mm) is V11() real ext-real set
Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count ((2 * n) choose n) <= 0 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count ((2 * n) choose n) <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count ((2 * n) choose n) <= 0 ) } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count ((2 * n) choose n) <= 0 ) } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(Product (Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count ((2 * n) choose n) <= 0 ) } )) * (Product (Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count ((2 * n) choose n) <= 0 ) } )) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((Product (Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( b1 <= sqrt (2 * n) & not b1 |-count ((2 * n) choose n) <= 0 ) } )) * (Product (Sgm { (b1 |^ (b1 |-count ((2 * n) choose n))) where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : ( not b1 <= sqrt (2 * n) & b1 <= (2 * n) / 3 & not b1 |-count ((2 * n) choose n) <= 0 ) } ))) * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
4 |^ n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n |-> 4 is Relation-like NAT -defined Function-like finite n -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n is finite n -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n),4) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n,{4}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n),{4}:]
{4} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg n),{4}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n),{4}:] is finite V40() set
Product (n |-> 4) is V11() real ext-real set
(4 |^ n) / (2 * n) is V11() real ext-real non negative Element of REAL
{ b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= (2 * n) / 3 } is set
3 / 3 is non empty V11() real ext-real positive non negative Element of REAL
n / 3 is V11() real ext-real non negative Element of REAL
1 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n / 3) * 2 is V11() real ext-real non negative Element of REAL
Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= (2 * n) / 3 } is Relation-like NAT -defined INT -valued Function-like finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support FinSequence of NAT
Product (Sgm { b1 where b1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT : b1 <= (2 * n) / 3 } ) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
((2 * n) / 3) - 1 is V11() real ext-real Element of REAL
4 to_power (((2 * n) / 3) - 1) is V11() real ext-real Element of REAL
[/((2 * n) / 3)\] is V11() real integer ext-real set
mm is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
Seg mm is finite mm -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
2n is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
0 + ((2 * n) / 3) is V11() real ext-real non negative Element of REAL
- 1 is non empty V11() real integer ext-real non positive negative Element of REAL
(- 1) + ((2 * n) / 3) is V11() real ext-real Element of REAL
4 to_power ((2 * n) / 3) is V11() real ext-real Element of REAL
2n is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-count ((2 * n) choose n) is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
n1 |^ (n1 |-count ((2 * n) choose n)) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(n1 |-count ((2 * n) choose n)) |-> n1 is Relation-like NAT -defined Function-like finite n1 |-count ((2 * n) choose n) -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg (n1 |-count ((2 * n) choose n)) is finite n1 |-count ((2 * n) choose n) -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg (n1 |-count ((2 * n) choose n))),n1) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg (n1 |-count ((2 * n) choose n)),{n1}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg (n1 |-count ((2 * n) choose n))),{n1}:]
{n1} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg (n1 |-count ((2 * n) choose n))),{n1}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg (n1 |-count ((2 * n) choose n))),{n1}:] is finite V40() set
Product ((n1 |-count ((2 * n) choose n)) |-> n1) is V11() real ext-real set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2n is set
n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer prime V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(2 * n) to_power (sqrt (2 * n)) is V11() real ext-real Element of REAL
((2 * n) to_power (sqrt (2 * n))) * (4 to_power (((2 * n) / 3) - 1)) is V11() real ext-real Element of REAL
(4 to_power ((2 * n) / 3)) * ((2 * n) to_power (sqrt (2 * n))) is V11() real ext-real Element of REAL
(4 to_power (((2 * n) / 3) - 1)) * ((2 * n) to_power (sqrt (2 * n))) is V11() real ext-real Element of REAL
((2 * n) to_power (sqrt (2 * n))) * (4 to_power ((2 * n) / 3)) is V11() real ext-real Element of REAL
((4 |^ n) / (2 * n)) * (2 * n) is V11() real ext-real non negative Element of REAL
(((2 * n) to_power (sqrt (2 * n))) * (4 to_power ((2 * n) / 3))) * (2 * n) is V11() real ext-real Element of REAL
3 * n is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(3 * n) / 3 is V11() real ext-real non negative Element of REAL
4 to_power ((3 * n) / 3) is V11() real ext-real Element of REAL
((2 * n) to_power (sqrt (2 * n))) * (2 * n) is V11() real ext-real Element of REAL
(((2 * n) to_power (sqrt (2 * n))) * (2 * n)) * (4 to_power ((2 * n) / 3)) is V11() real ext-real Element of REAL
(4 to_power ((3 * n) / 3)) / (4 to_power ((2 * n) / 3)) is V11() real ext-real Element of REAL
((((2 * n) to_power (sqrt (2 * n))) * (2 * n)) * (4 to_power ((2 * n) / 3))) / (4 to_power ((2 * n) / 3)) is V11() real ext-real Element of REAL
((3 * n) / 3) - ((2 * n) / 3) is V11() real ext-real Element of REAL
4 to_power (((3 * n) / 3) - ((2 * n) / 3)) is V11() real ext-real Element of REAL
4 to_power (n / 3) is V11() real ext-real Element of REAL
(2 * n) to_power 1 is V11() real ext-real Element of REAL
((2 * n) to_power (sqrt (2 * n))) * ((2 * n) to_power 1) is V11() real ext-real Element of REAL
(sqrt (2 * n)) + 1 is V11() real ext-real Element of REAL
(2 * n) to_power ((sqrt (2 * n)) + 1) is V11() real ext-real Element of REAL
(4 to_power (n / 3)) to_power 3 is V11() real ext-real Element of REAL
((2 * n) to_power ((sqrt (2 * n)) + 1)) to_power 3 is V11() real ext-real Element of REAL
(n / 3) * 3 is V11() real ext-real non negative Element of REAL
4 to_power ((n / 3) * 3) is V11() real ext-real Element of REAL
4 to_power n is V11() real ext-real Element of REAL
((sqrt (2 * n)) + 1) * 3 is V11() real ext-real Element of REAL
(2 * n) to_power (((sqrt (2 * n)) + 1) * 3) is V11() real ext-real Element of REAL
6 -root (2 * n) is V11() real ext-real Element of REAL
(6 -root (2 * n)) to_power 6 is V11() real ext-real Element of REAL
2n is V11() real ext-real set
6 -root 2n is V11() real ext-real set
(6 -root 2n) |^ 6 is V11() real ext-real set
6 |-> (6 -root 2n) is Relation-like NAT -defined Function-like finite 6 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg 6 is non empty finite 6 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of bool NAT
K334((Seg 6),(6 -root 2n)) is Relation-like NAT -defined Function-like V29( Seg 6,{(6 -root 2n)}) finite FinSequence-like FinSubsequence-like V59() V60() V61() finite-support Element of bool [:(Seg 6),{(6 -root 2n)}:]
{(6 -root 2n)} is non empty trivial finite 1 -element complex-membered ext-real-membered real-membered V191() V192() V193() V194() V195() set
[:(Seg 6),{(6 -root 2n)}:] is Relation-like finite V59() V60() V61() set
bool [:(Seg 6),{(6 -root 2n)}:] is finite V40() set
Product (6 |-> (6 -root 2n)) is V11() real ext-real set
2 to_power 2 is V11() real ext-real Element of REAL
2 |^ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |-> 2 is Relation-like NAT -defined Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
K334((Seg 2),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg 2,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg 2),{2}:]
{2} is non empty trivial finite V40() 1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() set
[:(Seg 2),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg 2),{2}:] is finite V40() set
Product (2 |-> 2) is V11() real ext-real set
<*2,2*> is non empty Relation-like NAT -defined NAT -valued Function-like finite 2 -element FinSequence-like FinSubsequence-like V59() V60() V61() V62() V101() finite-support Element of NAT *
NAT * is non empty functional FinSequence-membered FinSequenceSet of NAT
Product <*2,2*> is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 to_power (2 * n) is V11() real ext-real Element of REAL
[\(6 -root (2 * n))/] is V11() real integer ext-real set
(6 -root (2 * n)) - 1 is V11() real ext-real Element of REAL
[\(6 -root (2 * n))/] + 1 is V11() real integer ext-real Element of REAL
((6 -root (2 * n)) - 1) + 1 is V11() real ext-real Element of REAL
6 -root 0 is V11() real ext-real Element of REAL
n1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
2 to_power n1 is V11() real ext-real Element of REAL
2 to_power (6 -root (2 * n)) is V11() real ext-real Element of REAL
n1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 |^ n1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n1 |-> 2 is Relation-like NAT -defined Function-like finite n1 -element FinSequence-like FinSubsequence-like V59() V60() V61() finite-support set
Seg n1 is finite n1 -element complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of bool NAT
K334((Seg n1),2) is Relation-like NAT -defined INT -valued RAT -valued Function-like V29( Seg n1,{2}) finite FinSequence-like FinSubsequence-like V59() V60() V61() V62() finite-support Element of bool [:(Seg n1),{2}:]
[:(Seg n1),{2}:] is Relation-like INT -valued RAT -valued finite V59() V60() V61() V62() set
bool [:(Seg n1),{2}:] is finite V40() set
Product (n1 |-> 2) is V11() real ext-real set
(n1 + 1) to_power 6 is V11() real ext-real Element of REAL
(2 to_power (6 -root (2 * n))) to_power 6 is V11() real ext-real Element of REAL
(6 -root (2 * n)) * 6 is V11() real ext-real Element of REAL
2 to_power ((6 -root (2 * n)) * 6) is V11() real ext-real Element of REAL
(2 to_power ((6 -root (2 * n)) * 6)) to_power (((sqrt (2 * n)) + 1) * 3) is V11() real ext-real Element of REAL
((6 -root (2 * n)) * 6) * (((sqrt (2 * n)) + 1) * 3) is V11() real ext-real Element of REAL
2 to_power (((6 -root (2 * n)) * 6) * (((sqrt (2 * n)) + 1) * 3)) is V11() real ext-real Element of REAL
log (2,(2 to_power (((6 -root (2 * n)) * 6) * (((sqrt (2 * n)) + 1) * 3)))) is V11() real ext-real Element of REAL
log (2,(2 to_power (2 * n))) is V11() real ext-real Element of REAL
log (2,2) is V11() real ext-real Element of REAL
(2 * n) * (log (2,2)) is V11() real ext-real Element of REAL
(((6 -root (2 * n)) * 6) * (((sqrt (2 * n)) + 1) * 3)) * (log (2,2)) is V11() real ext-real Element of REAL
(2 * n) * 1 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
(((6 -root (2 * n)) * 6) * (((sqrt (2 * n)) + 1) * 3)) * 1 is V11() real ext-real Element of REAL
42 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
n * 2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
42 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
81 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
sqrt 81 is V11() real ext-real Element of REAL
9 ^2 is epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V193() V194() V195() Element of NAT
K37(9,9) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer ext-real positive non negative finite cardinal set
(sqrt (2 * n)) * 2 is V11() real ext-real Element of REAL
9 * 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
2 * (sqrt (2 * n)) is V11() real ext-real Element of REAL
18 * (sqrt (2 * n)) is V11() real ext-real Element of REAL
(2 * (sqrt (2 * n))) + (18 * (sqrt (2 * n))) is V11() real ext-real Element of REAL
18 + (18 * (sqrt (2 * n))) is V11() real ext-real Element of REAL
20 * (sqrt (2 * n)) is V11() real ext-real Element of REAL
(20 * (sqrt (2 * n))) * (6 -root (2 * n)) is V11() real ext-real Element of REAL
(18 + (18 * (sqrt (2 * n)))) * (6 -root (2 * n)) is V11() real ext-real Element of REAL
(sqrt (2 * n)) * (6 -root (2 * n)) is V11() real ext-real Element of REAL
20 * ((sqrt (2 * n)) * (6 -root (2 * n))) is V11() real ext-real Element of REAL
2 -Root (2 * n) is V11() real ext-real Element of REAL
(2 -Root (2 * n)) * (6 -root (2 * n)) is V11() real ext-real Element of REAL
20 * ((2 -Root (2 * n)) * (6 -root (2 * n))) is V11() real ext-real Element of REAL
2 -root (2 * n) is V11() real ext-real Element of REAL
(2 -root (2 * n)) * (6 -root (2 * n)) is V11() real ext-real Element of REAL
20 * ((2 -root (2 * n)) * (6 -root (2 * n))) is V11() real ext-real Element of REAL
1 / 2 is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) to_power (1 / 2) is V11() real ext-real Element of REAL
((2 * n) to_power (1 / 2)) * (6 -root (2 * n)) is V11() real ext-real Element of REAL
20 * (((2 * n) to_power (1 / 2)) * (6 -root (2 * n))) is V11() real ext-real Element of REAL
1 / 6 is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) to_power (1 / 6) is V11() real ext-real Element of REAL
((2 * n) to_power (1 / 2)) * ((2 * n) to_power (1 / 6)) is V11() real ext-real Element of REAL
20 * (((2 * n) to_power (1 / 2)) * ((2 * n) to_power (1 / 6))) is V11() real ext-real Element of REAL
(1 / 2) + (1 / 6) is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) to_power ((1 / 2) + (1 / 6)) is V11() real ext-real Element of REAL
20 * ((2 * n) to_power ((1 / 2) + (1 / 6))) is V11() real ext-real Element of REAL
2 / 3 is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) to_power (2 / 3) is V11() real ext-real Element of REAL
20 * ((2 * n) to_power (2 / 3)) is V11() real ext-real Element of REAL
(20 * ((2 * n) to_power (2 / 3))) / ((2 * n) to_power (2 / 3)) is V11() real ext-real Element of REAL
(2 * n) / ((2 * n) to_power (2 / 3)) is V11() real ext-real Element of REAL
((2 * n) to_power 1) / ((2 * n) to_power (2 / 3)) is V11() real ext-real Element of REAL
1 - (2 / 3) is V11() real ext-real Element of REAL
(2 * n) to_power (1 - (2 / 3)) is V11() real ext-real Element of REAL
1 / 3 is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) to_power (1 / 3) is V11() real ext-real Element of REAL
20 to_power 3 is V11() real ext-real Element of REAL
((2 * n) to_power (1 / 3)) to_power 3 is V11() real ext-real Element of REAL
(1 / 3) * 3 is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) to_power ((1 / 3) * 3) is V11() real ext-real Element of REAL
2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
20 to_power (2 + 1) is V11() real ext-real Element of REAL
20 to_power 2 is V11() real ext-real Element of REAL
20 to_power 1 is V11() real ext-real Element of REAL
(20 to_power 2) * (20 to_power 1) is V11() real ext-real Element of REAL
20 to_power (1 + 1) is V11() real ext-real Element of REAL
(20 to_power (1 + 1)) * 20 is V11() real ext-real Element of REAL
(20 to_power 1) * (20 to_power 1) is V11() real ext-real Element of REAL
((20 to_power 1) * (20 to_power 1)) * 20 is V11() real ext-real Element of REAL
(20 to_power 1) * 20 is V11() real ext-real Element of REAL
((20 to_power 1) * 20) * 20 is V11() real ext-real Element of REAL
20 * 20 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
(20 * 20) * 20 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT
8000 / 2 is non empty V11() real ext-real positive non negative Element of REAL
(2 * n) / 2 is V11() real ext-real non negative Element of REAL
4000 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real integer V32() ext-real positive non negative finite cardinal complex-membered ext-real-membered real-membered rational-membered integer-membered natural-membered V191() V192() V193() V194() V195() Element of NAT