:: INT_5 semantic presentation

REAL is non empty non trivial non finite V74() V75() V76() V80() set
NAT is non empty non trivial V4() V5() V6() non finite cardinal limit_cardinal V74() V75() V76() V77() V78() V79() V80() Element of bool REAL
bool REAL is non empty non trivial non finite set
NAT is non empty non trivial V4() V5() V6() non finite cardinal limit_cardinal V74() V75() V76() V77() V78() V79() V80() set
bool NAT is non empty non trivial non finite set
bool NAT is non empty non trivial non finite set
COMPLEX is non empty non trivial non finite V74() V80() set
RAT is non empty non trivial non finite V74() V75() V76() V77() V80() set
INT is non empty non trivial non finite V74() V75() V76() V77() V78() V80() set
[:REAL,REAL:] is non empty non trivial V12() non finite V64() V65() V66() set
bool [:REAL,REAL:] is non empty non trivial non finite set
0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() set
1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
{0,1} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
K349() is set
bool K349() is non empty set
K350() is Element of bool K349()
2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
SetPrimes is non empty non trivial non finite V74() V75() V76() V77() V78() V79() Element of bool NAT
K542() is V111() V139() L8()
the U1 of K542() is set
[:NAT,REAL:] is non empty non trivial V12() non finite V64() V65() V66() set
bool [:NAT,REAL:] is non empty non trivial non finite set
bool (bool REAL) is non empty non trivial non finite set
[:COMPLEX,COMPLEX:] is non empty non trivial V12() non finite V64() set
bool [:COMPLEX,COMPLEX:] is non empty non trivial non finite set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty non trivial V12() non finite V64() set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty non trivial non finite set
[:[:REAL,REAL:],REAL:] is non empty non trivial V12() non finite V64() V65() V66() set
bool [:[:REAL,REAL:],REAL:] is non empty non trivial non finite set
[:RAT,RAT:] is non empty non trivial V12() V16( RAT ) non finite V64() V65() V66() set
bool [:RAT,RAT:] is non empty non trivial non finite set
[:[:RAT,RAT:],RAT:] is non empty non trivial V12() V16( RAT ) non finite V64() V65() V66() set
bool [:[:RAT,RAT:],RAT:] is non empty non trivial non finite set
[:INT,INT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
bool [:INT,INT:] is non empty non trivial non finite set
[:[:INT,INT:],INT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
bool [:[:INT,INT:],INT:] is non empty non trivial non finite set
[:NAT,NAT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() V67() set
[:[:NAT,NAT:],NAT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() V67() set
bool [:[:NAT,NAT:],NAT:] is non empty non trivial non finite set
3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V59() V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of NAT
Seg 1 is non empty trivial finite 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
{1} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
Seg 2 is non empty finite 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
{1,2} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
- 1 is V11() integer V55() ext-real non positive set
card 0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() set
7 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
5 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
6 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
{0} is non empty trivial functional finite V42() 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
<*> REAL is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( REAL ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() FinSequence of REAL
Sum (<*> REAL) is V11() V55() ext-real Element of REAL
Product (<*> REAL) is V11() V55() ext-real Element of REAL
union 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
q + (- p) is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
p * q is V11() integer V55() ext-real set
p9 is V11() integer V55() ext-real set
p * p9 is V11() integer V55() ext-real set
q - p9 is V11() integer V55() ext-real set
- p9 is V11() integer V55() ext-real set
q + (- p9) is V11() integer V55() ext-real set
p * (q - p9) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
q + (- p) is V11() integer V55() ext-real set
- (q - p) is V11() integer V55() ext-real set
(- (q - p)) + q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
q mod p is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
p * p is V11() integer V55() ext-real set
(p * p) + 0 is V11() integer V55() ext-real set
((p * p) + 0) mod p is V11() integer V55() ext-real set
0 mod p is V11() integer V55() ext-real set
q div p is V11() integer V55() ext-real set
q / p is V11() V55() ext-real set
p " is V11() V55() ext-real set
q * (p ") is V11() V55() ext-real set
[\(q / p)/] is V11() integer V55() ext-real set
(q div p) * p is V11() integer V55() ext-real set
((q div p) * p) + (q mod p) is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V11() integer V55() ext-real V59() Element of INT
p is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . q is set
p . q is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q |^ (q -' 1) is V11() integer V55() ext-real set
(p . q) * (q |^ (q -' 1)) is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
Sum q is V11() integer V55() ext-real V59() Element of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . p9 is V11() integer V55() ext-real set
p . p9 is V11() integer V55() ext-real set
p9 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q |^ (p9 -' 1) is V11() integer V55() ext-real set
(p . p9) * (q |^ (p9 -' 1)) is V11() integer V55() ext-real set
q is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
p is V11() integer V55() ext-real V59() Element of INT
q . p is V11() integer V55() ext-real V59() Element of INT
q is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
p is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
q is V11() integer V55() ext-real V59() Element of INT
q . q is V11() integer V55() ext-real V59() Element of INT
p . q is V11() integer V55() ext-real V59() Element of INT
p9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum p9 is V11() integer V55() ext-real V59() Element of INT
f1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum f1 is V11() integer V55() ext-real V59() Element of INT
q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p9 . q9 is V11() integer V55() ext-real set
f1 . q9 is V11() integer V55() ext-real set
p . q9 is V11() integer V55() ext-real set
q9 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q |^ (q9 -' 1) is V11() integer V55() ext-real set
(p . q9) * (q |^ (q9 -' 1)) is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
p . 1 is V11() integer V55() ext-real set
INT --> (p . 1) is V12() V15( INT ) V16( INT ) V16({(p . 1)}) Function-like V26( INT ,{(p . 1)}) V64() V65() V66() Element of bool [:INT,{(p . 1)}:]
{(p . 1)} is non empty trivial finite 1 -element V74() V75() V76() V77() V78() set
[:INT,{(p . 1)}:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
bool [:INT,{(p . 1)}:] is non empty non trivial non finite set
dom (p) is V74() V75() V76() V77() V78() Element of bool INT
bool INT is non empty non trivial non finite set
q is set
(p) . q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real V59() Element of INT
(p) . p is V11() integer V55() ext-real V59() Element of INT
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum q is V11() integer V55() ext-real V59() Element of INT
q . 1 is V11() integer V55() ext-real set
1 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p |^ (1 -' 1) is V11() integer V55() ext-real set
(p . 1) * (p |^ (1 -' 1)) is V11() integer V55() ext-real set
p |^ 0 is V11() integer V55() ext-real set
(p . 1) * (p |^ 0) is V11() integer V55() ext-real set
(p . 1) * 1 is V11() integer V55() ext-real set
<*(q . 1)*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
(dom (p)) --> (p . 1) is V12() V15( dom (p)) V16( INT ) V16({(p . 1)}) Function-like V26( dom (p),{(p . 1)}) V64() V65() V66() Element of bool [:(dom (p)),{(p . 1)}:]
[:(dom (p)),{(p . 1)}:] is V12() V16( RAT ) V16( INT ) V64() V65() V66() set
bool [:(dom (p)),{(p . 1)}:] is non empty set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
p . 1 is V11() integer V55() ext-real set
q is V11() integer V55() ext-real V59() Element of INT
(p) . q is V11() integer V55() ext-real V59() Element of INT
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum p is V11() integer V55() ext-real V59() Element of INT
p . 1 is V11() integer V55() ext-real set
1 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q |^ (1 -' 1) is V11() integer V55() ext-real set
(p . 1) * (q |^ (1 -' 1)) is V11() integer V55() ext-real set
q |^ 0 is V11() integer V55() ext-real set
(p . 1) * (q |^ 0) is V11() integer V55() ext-real set
(p . 1) * 1 is V11() integer V55() ext-real set
<*(p . 1)*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(len p) - 1 is V11() integer V55() ext-real set
(len p) + (- 1) is V11() integer V55() ext-real set
Sum p is V11() V55() ext-real Element of REAL
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . ((q + 1) + 1) is V11() V55() ext-real set
p9 is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 . 1 is V11() V55() ext-real set
(q + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (q + 1) is non empty finite q + 1 -element q + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q | (Seg (q + 1)) is V12() V15( NAT ) V15( Seg (q + 1)) V15( NAT ) V16( REAL ) Function-like finite FinSubsequence-like V64() V65() V66() V109() Element of bool [:NAT,REAL:]
q9 is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 | (Seg (q + 1)) is V12() V15( NAT ) V15( Seg (q + 1)) V15( NAT ) V16( REAL ) Function-like finite FinSubsequence-like V64() V65() V66() V109() Element of bool [:NAT,REAL:]
g1 is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
p9 . ((q + 1) + 1) is V11() V55() ext-real set
<*(p9 . ((q + 1) + 1))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
g1 ^ <*(p9 . ((q + 1) + 1))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
len g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 . 1 is V11() V55() ext-real set
q . ((q + 1) + 1) is V11() V55() ext-real set
<*(q . ((q + 1) + 1))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
q9 ^ <*(q . ((q + 1) + 1))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
Seg ((q + 1) + 1) is non empty finite (q + 1) + 1 -element (q + 1) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
p . ((q + 1) + 1) is V11() V55() ext-real set
(q . ((q + 1) + 1)) - (p9 . ((q + 1) + 1)) is V11() V55() ext-real set
- (p9 . ((q + 1) + 1)) is V11() V55() ext-real set
(q . ((q + 1) + 1)) + (- (p9 . ((q + 1) + 1))) is V11() V55() ext-real set
p | (Seg (q + 1)) is V12() V15( NAT ) V15( Seg (q + 1)) V15( NAT ) V16( REAL ) Function-like finite FinSubsequence-like V64() V65() V66() V109() Element of bool [:NAT,REAL:]
g4 is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
dom g4 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*(p . ((q + 1) + 1))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
g4 ^ <*(p . ((q + 1) + 1))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g4 . XX is V11() V55() ext-real set
q9 . XX is V11() V55() ext-real set
g1 . XX is V11() V55() ext-real set
(q9 . XX) - (g1 . XX) is V11() V55() ext-real set
- (g1 . XX) is V11() V55() ext-real set
(q9 . XX) + (- (g1 . XX)) is V11() V55() ext-real set
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q . XX is V11() V55() ext-real set
p . XX is V11() V55() ext-real set
p9 . XX is V11() V55() ext-real set
(q . XX) - (p9 . XX) is V11() V55() ext-real set
- (p9 . XX) is V11() V55() ext-real set
(q . XX) + (- (p9 . XX)) is V11() V55() ext-real set
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q9 . (q + 1) is V11() V55() ext-real set
q . (q + 1) is V11() V55() ext-real set
(len g4) - 1 is V11() integer V55() ext-real set
(len g4) + (- 1) is V11() integer V55() ext-real set
Sum g4 is V11() V55() ext-real Element of REAL
XX is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum XX is V11() V55() ext-real Element of REAL
(Sum XX) + (q . (q + 1)) is V11() V55() ext-real set
((Sum XX) + (q . (q + 1))) - (p9 . 1) is V11() V55() ext-real set
- (p9 . 1) is V11() V55() ext-real set
((Sum XX) + (q . (q + 1))) + (- (p9 . 1)) is V11() V55() ext-real set
q + 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 . (q + 2) is V11() V55() ext-real set
(q . (q + 1)) - (p9 . (q + 2)) is V11() V55() ext-real set
- (p9 . (q + 2)) is V11() V55() ext-real set
(q . (q + 1)) + (- (p9 . (q + 2))) is V11() V55() ext-real set
<*((q . (q + 1)) - (p9 . (q + 2)))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
XX ^ <*((q . (q + 1)) - (p9 . (q + 2)))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
f1 is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
len f1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f1 is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum f1 is V11() V55() ext-real Element of REAL
(Sum f1) + (q . ((q + 1) + 1)) is V11() V55() ext-real set
((Sum f1) + (q . ((q + 1) + 1))) - (p9 . 1) is V11() V55() ext-real set
((Sum f1) + (q . ((q + 1) + 1))) + (- (p9 . 1)) is V11() V55() ext-real set
(((Sum XX) + (q . (q + 1))) - (p9 . 1)) + (p . ((q + 1) + 1)) is V11() V55() ext-real set
(Sum XX) + ((q . (q + 1)) - (p9 . (q + 2))) is V11() V55() ext-real set
((Sum XX) + ((q . (q + 1)) - (p9 . (q + 2)))) + (q . ((q + 1) + 1)) is V11() V55() ext-real set
(((Sum XX) + ((q . (q + 1)) - (p9 . (q + 2)))) + (q . ((q + 1) + 1))) - (p9 . 1) is V11() V55() ext-real set
(((Sum XX) + ((q . (q + 1)) - (p9 . (q + 2)))) + (q . ((q + 1) + 1))) + (- (p9 . 1)) is V11() V55() ext-real set
f2 is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
Sum f2 is V11() V55() ext-real Element of REAL
(Sum f2) + (q . ((q + 1) + 1)) is V11() V55() ext-real set
((Sum f2) + (q . ((q + 1) + 1))) - (p9 . 1) is V11() V55() ext-real set
((Sum f2) + (q . ((q + 1) + 1))) + (- (p9 . 1)) is V11() V55() ext-real set
(len XX) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f2 . n2 is V11() V55() ext-real set
q . n2 is V11() V55() ext-real set
n2 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 . (n2 + 1) is V11() V55() ext-real set
(q . n2) - (p9 . (n2 + 1)) is V11() V55() ext-real set
- (p9 . (n2 + 1)) is V11() V55() ext-real set
(q . n2) + (- (p9 . (n2 + 1))) is V11() V55() ext-real set
len f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len f2) is finite len f2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
Seg ((len XX) + 1) is non empty finite (len XX) + 1 -element (len XX) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(len XX) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len XX) is finite len XX -element V74() V75() V76() V77() V78() V79() Element of bool NAT
{((len XX) + 1)} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len XX)) \/ {((len XX) + 1)} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Seg (len g1) is finite len g1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q9 . n2 is V11() V55() ext-real set
XX . n2 is V11() V55() ext-real set
g1 . (n2 + 1) is V11() V55() ext-real set
(q9 . n2) - (g1 . (n2 + 1)) is V11() V55() ext-real set
- (g1 . (n2 + 1)) is V11() V55() ext-real set
(q9 . n2) + (- (g1 . (n2 + 1))) is V11() V55() ext-real set
dom <*((q . (q + 1)) - (p9 . (q + 2)))*> is non empty trivial finite 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
<*((q . (q + 1)) - (p9 . (q + 2)))*> . 1 is V11() V55() ext-real set
len f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . n2 is V11() V55() ext-real set
q . n2 is V11() V55() ext-real set
n2 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 . (n2 + 1) is V11() V55() ext-real set
(q . n2) - (p9 . (n2 + 1)) is V11() V55() ext-real set
- (p9 . (n2 + 1)) is V11() V55() ext-real set
(q . n2) + (- (p9 . (n2 + 1))) is V11() V55() ext-real set
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(len q) - 1 is V11() integer V55() ext-real set
(len q) + (- 1) is V11() integer V55() ext-real set
Sum q is V11() V55() ext-real Element of REAL
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . (0 + 1) is V11() V55() ext-real set
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . 1 is V11() V55() ext-real set
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (<*> REAL) is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V59() V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of NAT
dom (<*> REAL) is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of bool NAT
(Sum (<*> REAL)) + (p . (0 + 1)) is V11() V55() ext-real set
((Sum (<*> REAL)) + (p . (0 + 1))) - (q . 1) is V11() V55() ext-real set
- (q . 1) is V11() V55() ext-real set
((Sum (<*> REAL)) + (p . (0 + 1))) + (- (q . 1)) is V11() V55() ext-real set
Seg (0 + 1) is non empty finite 0 + 1 -element 0 + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q . 1 is V11() V55() ext-real set
p . 1 is V11() V55() ext-real set
(p . 1) - (q . 1) is V11() V55() ext-real set
(p . 1) + (- (q . 1)) is V11() V55() ext-real set
<*((p . 1) - (q . 1))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(<*> REAL) . p9 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() set
p . p9 is V11() V55() ext-real set
p9 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . (p9 + 1) is V11() V55() ext-real set
(p . p9) - (q . (p9 + 1)) is V11() V55() ext-real set
- (q . (p9 + 1)) is V11() V55() ext-real set
(p . p9) + (- (q . (p9 + 1))) is V11() V55() ext-real set
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(len q) - 1 is V11() integer V55() ext-real set
(len q) + (- 1) is V11() integer V55() ext-real set
Sum q is V11() V55() ext-real Element of REAL
p . (p + 1) is V11() V55() ext-real set
q . 1 is V11() V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p + 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
q . (p + 2) is V11() integer V55() ext-real set
(p + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg ((p + 1) + 1) is non empty finite (p + 1) + 1 -element (p + 1) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(p + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p9 is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p + 2) - f1 is V11() integer V55() ext-real set
- f1 is V11() integer V55() ext-real non positive set
(p + 2) + (- f1) is V11() integer V55() ext-real set
q . ((p + 2) - f1) is V11() integer V55() ext-real set
q9 is V11() integer V55() ext-real V59() Element of INT
p9 * q9 is V11() integer V55() ext-real set
(q . ((p + 2) - f1)) + (p9 * q9) is V11() integer V55() ext-real set
g1 is V11() integer V55() ext-real V59() Element of INT
p is V11() integer V55() ext-real V59() Element of INT
f1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . 1 is V11() integer V55() ext-real set
Rev f1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
q9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q9) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
q9 . (p + 1) is V11() integer V55() ext-real set
q . 1 is V11() integer V55() ext-real set
q9 . 1 is V11() integer V55() ext-real set
p9 * (q9 . 1) is V11() integer V55() ext-real set
(q . 1) + (p9 * (q9 . 1)) is V11() integer V55() ext-real set
g1 is V11() integer V55() ext-real set
g1 is V11() integer V55() ext-real V59() Element of INT
(q) . g1 is V11() integer V55() ext-real V59() Element of INT
g1 - p9 is V11() integer V55() ext-real set
- p9 is V11() integer V55() ext-real set
g1 + (- p9) is V11() integer V55() ext-real set
(q9) . g1 is V11() integer V55() ext-real V59() Element of INT
(g1 - p9) * ((q9) . g1) is V11() integer V55() ext-real set
((g1 - p9) * ((q9) . g1)) + g1 is V11() integer V55() ext-real set
g3 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g3 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum g3 is V11() integer V55() ext-real V59() Element of INT
g3 . (p + 2) is V11() integer V55() ext-real set
((p + 1) + 1) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (((p + 1) + 1) -' 1) is V11() integer V55() ext-real set
(q . (p + 2)) * (g1 |^ (((p + 1) + 1) -' 1)) is V11() integer V55() ext-real set
g1 |^ (p + 1) is V11() integer V55() ext-real set
(q . (p + 2)) * (g1 |^ (p + 1)) is V11() integer V55() ext-real set
g3 . 1 is V11() integer V55() ext-real set
1 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (1 -' 1) is V11() integer V55() ext-real set
(q . 1) * (g1 |^ (1 -' 1)) is V11() integer V55() ext-real set
g1 |^ 0 is V11() integer V55() ext-real set
(q . 1) * (g1 |^ 0) is V11() integer V55() ext-real set
(q . 1) * 1 is V11() integer V55() ext-real set
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g4 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
XX . f1 is set
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX . f2 is set
q9 . f2 is V11() integer V55() ext-real set
g1 |^ f2 is V11() integer V55() ext-real set
(q9 . f2) * (g1 |^ f2) is V11() integer V55() ext-real set
XX . (g4 + 1) is set
q9 . (g4 + 1) is V11() integer V55() ext-real set
g1 |^ (g4 + 1) is V11() integer V55() ext-real set
(q9 . (g4 + 1)) * (g1 |^ (g4 + 1)) is V11() integer V55() ext-real set
g4 + 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . (g4 + 2) is V11() integer V55() ext-real set
(q . (g4 + 2)) * (g1 |^ (g4 + 1)) is V11() integer V55() ext-real set
f2 is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f2 . n2 is set
q9 . n2 is V11() integer V55() ext-real set
p9 * (q9 . n2) is V11() integer V55() ext-real set
n2 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (n2 -' 1) is V11() integer V55() ext-real set
(p9 * (q9 . n2)) * (g1 |^ (n2 -' 1)) is V11() integer V55() ext-real set
f2 . 1 is set
(p9 * (q9 . 1)) * (g1 |^ (1 -' 1)) is V11() integer V55() ext-real set
(p9 * (q9 . 1)) * (g1 |^ 0) is V11() integer V55() ext-real set
(p9 * (q9 . 1)) * 1 is V11() integer V55() ext-real set
f1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
g2 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum g2 is V11() integer V55() ext-real V59() Element of INT
(g1 - p9) * g2 is V12() V15( NAT ) V16( REAL ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
dom ((g1 - p9) * g2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len ((g1 - p9) * g2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((g1 - p9) * g2) . XX is V11() integer V55() ext-real set
q9 . XX is V11() integer V55() ext-real set
g1 |^ XX is V11() integer V55() ext-real set
(q9 . XX) * (g1 |^ XX) is V11() integer V55() ext-real set
p9 * (q9 . XX) is V11() integer V55() ext-real set
XX -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (XX -' 1) is V11() integer V55() ext-real set
(p9 * (q9 . XX)) * (g1 |^ (XX -' 1)) is V11() integer V55() ext-real set
((q9 . XX) * (g1 |^ XX)) - ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1))) is V11() integer V55() ext-real set
- ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1))) is V11() integer V55() ext-real set
((q9 . XX) * (g1 |^ XX)) + (- ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1)))) is V11() integer V55() ext-real set
g2 . XX is V11() integer V55() ext-real set
(g1 - p9) * (g2 . XX) is V11() integer V55() ext-real set
(q9 . XX) * (g1 |^ (XX -' 1)) is V11() integer V55() ext-real set
(g1 - p9) * ((q9 . XX) * (g1 |^ (XX -' 1))) is V11() integer V55() ext-real set
(g1 |^ (XX -' 1)) * g1 is V11() integer V55() ext-real set
(q9 . XX) * ((g1 |^ (XX -' 1)) * g1) is V11() integer V55() ext-real set
((q9 . XX) * ((g1 |^ (XX -' 1)) * g1)) - ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1))) is V11() integer V55() ext-real set
((q9 . XX) * ((g1 |^ (XX -' 1)) * g1)) + (- ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1)))) is V11() integer V55() ext-real set
(XX -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ ((XX -' 1) + 1) is V11() integer V55() ext-real set
(q9 . XX) * (g1 |^ ((XX -' 1) + 1)) is V11() integer V55() ext-real set
((q9 . XX) * (g1 |^ ((XX -' 1) + 1))) - ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1))) is V11() integer V55() ext-real set
((q9 . XX) * (g1 |^ ((XX -' 1) + 1))) + (- ((p9 * (q9 . XX)) * (g1 |^ (XX -' 1)))) is V11() integer V55() ext-real set
n2 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom n2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((g1 - p9) * g2) . XX is V11() integer V55() ext-real set
f1 . XX is V11() integer V55() ext-real set
n2 . XX is V11() integer V55() ext-real set
(f1 . XX) - (n2 . XX) is V11() integer V55() ext-real set
- (n2 . XX) is V11() integer V55() ext-real set
(f1 . XX) + (- (n2 . XX)) is V11() integer V55() ext-real set
q9 . XX is V11() integer V55() ext-real set
p9 * (q9 . XX) is V11() integer V55() ext-real set
XX -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (XX -' 1) is V11() integer V55() ext-real set
(p9 * (q9 . XX)) * (g1 |^ (XX -' 1)) is V11() integer V55() ext-real set
g1 |^ XX is V11() integer V55() ext-real set
(q9 . XX) * (g1 |^ XX) is V11() integer V55() ext-real set
(len ((g1 - p9) * g2)) - 1 is V11() integer V55() ext-real set
(len ((g1 - p9) * g2)) + (- 1) is V11() integer V55() ext-real set
Sum ((g1 - p9) * g2) is V11() V55() ext-real Element of REAL
f1 . (g4 + 1) is V11() integer V55() ext-real set
n2 . 1 is V11() integer V55() ext-real set
XX is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum XX is V11() V55() ext-real Element of REAL
(Sum XX) + (f1 . (g4 + 1)) is V11() V55() ext-real set
((Sum XX) + (f1 . (g4 + 1))) - (n2 . 1) is V11() V55() ext-real set
- (n2 . 1) is V11() integer V55() ext-real set
((Sum XX) + (f1 . (g4 + 1))) + (- (n2 . 1)) is V11() V55() ext-real set
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX . mm is V11() V55() ext-real set
mm + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g3 . (mm + 1) is V11() integer V55() ext-real set
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Seg g4 is finite g4 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
g4 - mm is V11() integer V55() ext-real set
- mm is V11() integer V55() ext-real non positive set
g4 + (- mm) is V11() integer V55() ext-real set
(g4 - mm) + 1 is V11() integer V55() ext-real set
g4 - 1 is V11() integer V55() ext-real set
g4 + (- 1) is V11() integer V55() ext-real set
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g4 - 1) + 1 is V11() integer V55() ext-real set
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . (YY + 1) is V11() integer V55() ext-real set
(g4 + 2) - YY is V11() integer V55() ext-real set
- YY is V11() integer V55() ext-real non positive set
(g4 + 2) + (- YY) is V11() integer V55() ext-real set
q . ((g4 + 2) - YY) is V11() integer V55() ext-real set
f1 . YY is V11() integer V55() ext-real set
p9 * (f1 . YY) is V11() integer V55() ext-real set
(q . ((g4 + 2) - YY)) + (p9 * (f1 . YY)) is V11() integer V55() ext-real set
Seg (g4 + 1) is non empty finite g4 + 1 -element g4 + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
g4 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
mm + 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (g4 + 2) is non empty finite g4 + 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 . mm is V11() integer V55() ext-real set
n2 . (mm + 1) is V11() integer V55() ext-real set
(f1 . mm) - (n2 . (mm + 1)) is V11() integer V55() ext-real set
- (n2 . (mm + 1)) is V11() integer V55() ext-real set
(f1 . mm) + (- (n2 . (mm + 1))) is V11() integer V55() ext-real set
q9 . mm is V11() integer V55() ext-real set
g1 |^ mm is V11() integer V55() ext-real set
(q9 . mm) * (g1 |^ mm) is V11() integer V55() ext-real set
((q9 . mm) * (g1 |^ mm)) - (n2 . (mm + 1)) is V11() integer V55() ext-real set
((q9 . mm) * (g1 |^ mm)) + (- (n2 . (mm + 1))) is V11() integer V55() ext-real set
q9 . (mm + 1) is V11() integer V55() ext-real set
p9 * (q9 . (mm + 1)) is V11() integer V55() ext-real set
(mm + 1) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ ((mm + 1) -' 1) is V11() integer V55() ext-real set
(p9 * (q9 . (mm + 1))) * (g1 |^ ((mm + 1) -' 1)) is V11() integer V55() ext-real set
((q9 . mm) * (g1 |^ mm)) - ((p9 * (q9 . (mm + 1))) * (g1 |^ ((mm + 1) -' 1))) is V11() integer V55() ext-real set
- ((p9 * (q9 . (mm + 1))) * (g1 |^ ((mm + 1) -' 1))) is V11() integer V55() ext-real set
((q9 . mm) * (g1 |^ mm)) + (- ((p9 * (q9 . (mm + 1))) * (g1 |^ ((mm + 1) -' 1)))) is V11() integer V55() ext-real set
(p9 * (q9 . (mm + 1))) * (g1 |^ mm) is V11() integer V55() ext-real set
((q9 . mm) * (g1 |^ mm)) - ((p9 * (q9 . (mm + 1))) * (g1 |^ mm)) is V11() integer V55() ext-real set
- ((p9 * (q9 . (mm + 1))) * (g1 |^ mm)) is V11() integer V55() ext-real set
((q9 . mm) * (g1 |^ mm)) + (- ((p9 * (q9 . (mm + 1))) * (g1 |^ mm))) is V11() integer V55() ext-real set
(q9 . mm) - (p9 * (q9 . (mm + 1))) is V11() integer V55() ext-real set
- (p9 * (q9 . (mm + 1))) is V11() integer V55() ext-real set
(q9 . mm) + (- (p9 * (q9 . (mm + 1)))) is V11() integer V55() ext-real set
((q9 . mm) - (p9 * (q9 . (mm + 1)))) * (g1 |^ mm) is V11() integer V55() ext-real set
(g4 + 1) - mm is V11() integer V55() ext-real set
(g4 + 1) + (- mm) is V11() integer V55() ext-real set
((g4 + 1) - mm) + 1 is V11() integer V55() ext-real set
f1 . (((g4 + 1) - mm) + 1) is V11() integer V55() ext-real set
(f1 . (((g4 + 1) - mm) + 1)) - (p9 * (q9 . (mm + 1))) is V11() integer V55() ext-real set
(f1 . (((g4 + 1) - mm) + 1)) + (- (p9 * (q9 . (mm + 1)))) is V11() integer V55() ext-real set
((f1 . (((g4 + 1) - mm) + 1)) - (p9 * (q9 . (mm + 1)))) * (g1 |^ mm) is V11() integer V55() ext-real set
((g4 - mm) + 1) + 1 is V11() integer V55() ext-real set
f1 . (((g4 - mm) + 1) + 1) is V11() integer V55() ext-real set
(g4 + 1) - (mm + 1) is V11() integer V55() ext-real set
- (mm + 1) is V11() integer V55() ext-real non positive set
(g4 + 1) + (- (mm + 1)) is V11() integer V55() ext-real set
((g4 + 1) - (mm + 1)) + 1 is V11() integer V55() ext-real set
f1 . (((g4 + 1) - (mm + 1)) + 1) is V11() integer V55() ext-real set
p9 * (f1 . (((g4 + 1) - (mm + 1)) + 1)) is V11() integer V55() ext-real set
(f1 . (((g4 - mm) + 1) + 1)) - (p9 * (f1 . (((g4 + 1) - (mm + 1)) + 1))) is V11() integer V55() ext-real set
- (p9 * (f1 . (((g4 + 1) - (mm + 1)) + 1))) is V11() integer V55() ext-real set
(f1 . (((g4 - mm) + 1) + 1)) + (- (p9 * (f1 . (((g4 + 1) - (mm + 1)) + 1)))) is V11() integer V55() ext-real set
((f1 . (((g4 - mm) + 1) + 1)) - (p9 * (f1 . (((g4 + 1) - (mm + 1)) + 1)))) * (g1 |^ mm) is V11() integer V55() ext-real set
q . (mm + 1) is V11() integer V55() ext-real set
(q . (mm + 1)) * (g1 |^ ((mm + 1) -' 1)) is V11() integer V55() ext-real set
<*(g3 . 1)*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
<*(g3 . 1)*> ^ XX is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
g3 . (g4 + 2) is V11() integer V55() ext-real set
<*(g3 . (g4 + 2))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
(<*(g3 . 1)*> ^ XX) ^ <*(g3 . (g4 + 2))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g3 . YY is V11() integer V55() ext-real set
((<*(g3 . 1)*> ^ XX) ^ <*(g3 . (g4 + 2))*>) . YY is V11() V55() ext-real set
XX ^ <*(g3 . (g4 + 2))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>) is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
(<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>)) . 1 is V11() V55() ext-real set
YY - 1 is V11() integer V55() ext-real set
YY + (- 1) is V11() integer V55() ext-real set
(g4 + 2) - 1 is V11() integer V55() ext-real set
(g4 + 2) + (- 1) is V11() integer V55() ext-real set
(g4 + 1) - 1 is V11() integer V55() ext-real set
(g4 + 1) + (- 1) is V11() integer V55() ext-real set
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg g4 is finite g4 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
XX ^ <*(g3 . (g4 + 2))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
dom (XX ^ <*(g3 . (g4 + 2))*>) is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>) is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
N + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>)) . (N + 1) is V11() V55() ext-real set
(XX ^ <*(g3 . (g4 + 2))*>) . N is V11() V55() ext-real set
XX . N is V11() V55() ext-real set
g3 . (N + 1) is V11() integer V55() ext-real set
(g4 + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((<*(g3 . 1)*> ^ XX) ^ <*(g3 . (g4 + 2))*>) . ((g4 + 1) + 1) is V11() V55() ext-real set
len (<*(g3 . 1)*> ^ XX) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len (<*(g3 . 1)*> ^ XX)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((<*(g3 . 1)*> ^ XX) ^ <*(g3 . (g4 + 2))*>) . ((len (<*(g3 . 1)*> ^ XX)) + 1) is V11() V55() ext-real set
len ((<*(g3 . 1)*> ^ XX) ^ <*(g3 . (g4 + 2))*>) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX ^ <*(g3 . (g4 + 2))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>) is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
len (<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (XX ^ <*(g3 . (g4 + 2))*>) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + (len (XX ^ <*(g3 . (g4 + 2))*>)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + (len XX) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 + (len XX)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((<*(g3 . 1)*> ^ XX) ^ <*(g3 . (g4 + 2))*>) is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
XX ^ <*(g3 . (g4 + 2))*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>) is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
Sum (<*(g3 . 1)*> ^ (XX ^ <*(g3 . (g4 + 2))*>)) is V11() V55() ext-real set
Sum (XX ^ <*(g3 . (g4 + 2))*>) is V11() V55() ext-real set
(g3 . 1) + (Sum (XX ^ <*(g3 . (g4 + 2))*>)) is V11() V55() ext-real set
(Sum XX) + (g3 . (g4 + 2)) is V11() V55() ext-real set
(g3 . 1) + ((Sum XX) + (g3 . (g4 + 2))) is V11() V55() ext-real set
(Sum ((g1 - p9) * g2)) + g1 is V11() V55() ext-real set
g1 is V11() integer V55() ext-real V59() Element of INT
(q) . g1 is V11() integer V55() ext-real V59() Element of INT
g1 - p9 is V11() integer V55() ext-real set
- p9 is V11() integer V55() ext-real set
g1 + (- p9) is V11() integer V55() ext-real set
(q9) . g1 is V11() integer V55() ext-real V59() Element of INT
(g1 - p9) * ((q9) . g1) is V11() integer V55() ext-real set
((g1 - p9) * ((q9) . g1)) + g1 is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
p * q is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- q is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V11() integer V55() ext-real set
- (q * q) is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- p is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p9 is V11() integer V55() ext-real set
- (p * p9) is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- p is V11() integer V55() ext-real set
- q is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . ((p + 1) + 1) is V11() integer V55() ext-real set
(q) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
(p + 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . ((p + 1) + 1) is V11() integer V55() ext-real set
p9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 . 1 is V11() integer V55() ext-real set
(q) . (p9 . 1) is V11() integer V55() ext-real set
((q) . (p9 . 1)) mod q is V11() integer V55() ext-real set
p9 is V11() integer V55() ext-real set
(q) . p9 is V11() integer V55() ext-real set
((q) . p9) mod q is V11() integer V55() ext-real set
p9 is V11() integer V55() ext-real set
(q) . p9 is V11() integer V55() ext-real set
((q) . p9) mod q is V11() integer V55() ext-real set
f1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p + 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . (p + 2) is V11() integer V55() ext-real set
q9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q9) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
g1 is V11() integer V55() ext-real set
q9 . (p + 1) is V11() integer V55() ext-real set
p9 - p9 is V11() integer V55() ext-real set
- p9 is V11() integer V55() ext-real set
p9 + (- p9) is V11() integer V55() ext-real set
(q9) . p9 is V11() integer V55() ext-real set
(p9 - p9) * ((q9) . p9) is V11() integer V55() ext-real set
((p9 - p9) * ((q9) . p9)) + g1 is V11() integer V55() ext-real set
(((p9 - p9) * ((q9) . p9)) + g1) mod q is V11() integer V55() ext-real set
g1 mod q is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . g1 is V11() integer V55() ext-real set
(f1 . g1) - p9 is V11() integer V55() ext-real set
(f1 . g1) + (- p9) is V11() integer V55() ext-real set
(q9) . (f1 . g1) is V11() integer V55() ext-real set
((f1 . g1) - p9) * ((q9) . (f1 . g1)) is V11() integer V55() ext-real set
(q) . (f1 . g1) is V11() integer V55() ext-real set
((q) . (f1 . g1)) mod q is V11() integer V55() ext-real set
(((f1 . g1) - p9) * ((q9) . (f1 . g1))) + g1 is V11() integer V55() ext-real set
((((f1 . g1) - p9) * ((q9) . (f1 . g1))) + g1) mod q is V11() integer V55() ext-real set
(((f1 . g1) - p9) * ((q9) . (f1 . g1))) mod q is V11() integer V55() ext-real set
((((f1 . g1) - p9) * ((q9) . (f1 . g1))) mod q) + (g1 mod q) is V11() integer V55() ext-real set
(((((f1 . g1) - p9) * ((q9) . (f1 . g1))) mod q) + (g1 mod q)) mod q is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . g1 is V11() integer V55() ext-real set
(q9) . (f1 . g1) is V11() integer V55() ext-real set
((q9) . (f1 . g1)) mod q is V11() integer V55() ext-real set
(f1 . g1) - p9 is V11() integer V55() ext-real set
(f1 . g1) + (- p9) is V11() integer V55() ext-real set
((f1 . g1) - p9) * ((q9) . (f1 . g1)) is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . g1 is V11() integer V55() ext-real set
(f1 . g1) - p9 is V11() integer V55() ext-real set
(f1 . g1) + (- p9) is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . g1 is V11() integer V55() ext-real set
(f1 . g1) - p9 is V11() integer V55() ext-real set
(f1 . g1) + (- p9) is V11() integer V55() ext-real set
{(f1 . g1)} is non empty trivial finite 1 -element V74() V75() V76() V77() V78() set
f1 - {(f1 . g1)} is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom (f1 - {(f1 . g1)}) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 - {(f1 . g1)}) . g4 is V11() integer V55() ext-real set
((f1 - {(f1 . g1)}) . g4) - p9 is V11() integer V55() ext-real set
((f1 - {(f1 . g1)}) . g4) + (- p9) is V11() integer V55() ext-real set
rng (f1 - {(f1 . g1)}) is finite V74() V75() V76() V77() V78() Element of bool INT
bool INT is non empty non trivial non finite set
rng f1 is finite V74() V75() V76() V77() V78() Element of bool INT
(rng f1) \ {(f1 . g1)} is finite V74() V75() V76() V77() V78() Element of bool INT
XX is set
f1 . XX is V11() integer V55() ext-real set
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . f1 is V11() integer V55() ext-real set
(f1 . f1) - p9 is V11() integer V55() ext-real set
(f1 . f1) + (- p9) is V11() integer V55() ext-real set
((f1 . f1) - p9) - ((f1 . g1) - p9) is V11() integer V55() ext-real set
- ((f1 . g1) - p9) is V11() integer V55() ext-real set
((f1 . f1) - p9) + (- ((f1 . g1) - p9)) is V11() integer V55() ext-real set
(f1 . f1) - (f1 . g1) is V11() integer V55() ext-real set
- (f1 . g1) is V11() integer V55() ext-real set
(f1 . f1) + (- (f1 . g1)) is V11() integer V55() ext-real set
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 - {(f1 . g1)}) . g4 is V11() integer V55() ext-real set
(q9) . ((f1 - {(f1 . g1)}) . g4) is V11() integer V55() ext-real set
((q9) . ((f1 - {(f1 . g1)}) . g4)) mod q is V11() integer V55() ext-real set
rng (f1 - {(f1 . g1)}) is finite V74() V75() V76() V77() V78() Element of bool INT
bool INT is non empty non trivial non finite set
rng f1 is finite V74() V75() V76() V77() V78() Element of bool INT
(rng f1) \ {(f1 . g1)} is finite V74() V75() V76() V77() V78() Element of bool INT
((f1 - {(f1 . g1)}) . g4) - p9 is V11() integer V55() ext-real set
((f1 - {(f1 . g1)}) . g4) + (- p9) is V11() integer V55() ext-real set
(((f1 - {(f1 . g1)}) . g4) - p9) * ((q9) . ((f1 - {(f1 . g1)}) . g4)) is V11() integer V55() ext-real set
XX is set
f1 . XX is V11() integer V55() ext-real set
g4 is set
K64(f1) is finite V74() V75() V76() V77() V78() V79() set
XX is set
f1 . g4 is V11() integer V55() ext-real set
f1 . XX is V11() integer V55() ext-real set
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 - {(f1 . g1)}) . g4 is V11() integer V55() ext-real set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 - {(f1 . g1)}) . XX is V11() integer V55() ext-real set
rng (f1 - {(f1 . g1)}) is finite V74() V75() V76() V77() V78() Element of bool INT
bool INT is non empty non trivial non finite set
rng f1 is finite V74() V75() V76() V77() V78() Element of bool INT
(rng f1) \ {(f1 . g1)} is finite V74() V75() V76() V77() V78() Element of bool INT
f1 is set
f1 . f1 is V11() integer V55() ext-real set
f2 is set
f1 . f2 is V11() integer V55() ext-real set
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng f1 is finite V74() V75() V76() V77() V78() Element of bool INT
bool INT is non empty non trivial non finite set
len (f1 - {(f1 . g1)}) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len f1) - 1 is V11() integer V55() ext-real set
(len f1) + (- 1) is V11() integer V55() ext-real set
(p + 1) - 1 is V11() integer V55() ext-real set
(p + 1) + (- 1) is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . g1 is V11() integer V55() ext-real set
(f1 . g1) - p9 is V11() integer V55() ext-real set
(f1 . g1) + (- p9) is V11() integer V55() ext-real set
p9 is V11() integer V55() ext-real set
(q) . p9 is V11() integer V55() ext-real set
((q) . p9) mod q is V11() integer V55() ext-real set
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . (0 + 1) is V11() integer V55() ext-real set
(p) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . (0 + 1) is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . 1 is V11() integer V55() ext-real set
(p) . (q . 1) is V11() integer V55() ext-real set
((p) . (q . 1)) mod q is V11() integer V55() ext-real set
p . 1 is V11() integer V55() ext-real set
INT --> (p . 1) is V12() V15( INT ) V16( INT ) V16({(p . 1)}) Function-like V26( INT ,{(p . 1)}) V64() V65() V66() Element of bool [:INT,{(p . 1)}:]
{(p . 1)} is non empty trivial finite 1 -element V74() V75() V76() V77() V78() set
[:INT,{(p . 1)}:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
bool [:INT,{(p . 1)}:] is non empty non trivial non finite set
(INT --> (p . 1)) . (q . 1) is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . (p + 1) is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(p) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V11() integer V55() ext-real set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) - (p ^2) is V11() integer V55() ext-real set
- (p ^2) is V11() integer V55() ext-real non positive set
(p ^2) + (- (p ^2)) is V11() integer V55() ext-real set
((p ^2) - (p ^2)) mod q is V11() integer V55() ext-real set
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V11() integer V55() ext-real set
q ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V11() integer V55() ext-real set
(q ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(q ^2) + (- p) is V11() integer V55() ext-real set
((q ^2) - p) mod p is V11() integer V55() ext-real set
p - q is V11() integer V55() ext-real set
- q is V11() integer V55() ext-real set
p + (- q) is V11() integer V55() ext-real set
(p - q) mod p is V11() integer V55() ext-real set
(q ^2) - q is V11() integer V55() ext-real set
(q ^2) + (- q) is V11() integer V55() ext-real set
((q ^2) - q) mod p is V11() integer V55() ext-real set
((q ^2) - p) + (p - q) is V11() integer V55() ext-real set
(((q ^2) - p) + (p - q)) mod p is V11() integer V55() ext-real set
(((q ^2) - p) mod p) + ((p - q) mod p) is V11() integer V55() ext-real set
((((q ^2) - p) mod p) + ((p - q) mod p)) mod p is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
- p is V11() integer V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
abs q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p gcd (abs q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
- q is V11() integer V55() ext-real non positive set
q * (- q) is V11() integer V55() ext-real non positive set
p is V11() integer V55() ext-real set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V11() integer V55() ext-real set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
abs q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(abs p) gcd (abs q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
q mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
q |^ p is V11() integer V55() ext-real set
(q |^ p) mod q is V11() integer V55() ext-real set
p |^ p is V11() integer V55() ext-real set
(p |^ p) mod q is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q |^ p9 is V11() integer V55() ext-real set
(q |^ p9) mod q is V11() integer V55() ext-real set
p |^ p9 is V11() integer V55() ext-real set
(p |^ p9) mod q is V11() integer V55() ext-real set
p9 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q |^ (p9 + 1) is V11() integer V55() ext-real set
(q |^ (p9 + 1)) mod q is V11() integer V55() ext-real set
p |^ (p9 + 1) is V11() integer V55() ext-real set
(p |^ (p9 + 1)) mod q is V11() integer V55() ext-real set
(q |^ p9) * q is V11() integer V55() ext-real set
((q |^ p9) * q) mod q is V11() integer V55() ext-real set
((p |^ p9) mod q) * (p mod q) is V11() integer V55() ext-real set
(((p |^ p9) mod q) * (p mod q)) mod q is V11() integer V55() ext-real set
(p |^ p9) * p is V11() integer V55() ext-real set
((p |^ p9) * p) mod q is V11() integer V55() ext-real set
q |^ 0 is V11() integer V55() ext-real set
(q |^ 0) mod q is V11() integer V55() ext-real set
p |^ 0 is V11() integer V55() ext-real set
(p |^ 0) mod q is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q |^ p9 is V11() integer V55() ext-real set
(q |^ p9) mod q is V11() integer V55() ext-real set
p |^ p9 is V11() integer V55() ext-real set
(p |^ p9) mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
q ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V11() integer V55() ext-real set
(q ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(q ^2) + (- p) is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((q ^2) - p) mod p is V11() integer V55() ext-real set
(q ^2) - ((q ^2) - p) is V11() integer V55() ext-real set
- ((q ^2) - p) is V11() integer V55() ext-real set
(q ^2) + (- ((q ^2) - p)) is V11() integer V55() ext-real set
p gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V11() integer V55() ext-real set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V11() integer V55() ext-real set
(p ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(p ^2) + (- p) is V11() integer V55() ext-real set
((p ^2) - p) mod q is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(- p) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- p) * (- p) is V11() integer V55() ext-real set
((- p) ^2) - p is V11() integer V55() ext-real set
((- p) ^2) + (- p) is V11() integer V55() ext-real set
(((- p) ^2) - p) mod q is V11() integer V55() ext-real set
p - (- p) is V11() integer V55() ext-real set
- (- p) is V11() integer V55() ext-real set
p + (- (- p)) is V11() integer V55() ext-real set
2 * p is V11() integer V55() ext-real set
2 gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V11() integer V55() ext-real set
q * q is V11() integer V55() ext-real set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * q) gcd (q * 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q * (q gcd 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
q is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . p is set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
(p -' 1) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(p - 1) / 1 is V11() V55() ext-real set
1 " is non empty V11() V55() ext-real positive non negative set
(p - 1) * (1 ") is V11() V55() ext-real set
(p - 1) / 2 is V11() V55() ext-real set
(p - 1) * (2 ") is V11() V55() ext-real set
((p -' 1) div 2) - 1 is V11() integer V55() ext-real set
((p -' 1) div 2) + (- 1) is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg ((p -' 1) div 2) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
1 - ((p -' 1) div 2) is V11() integer V55() ext-real set
- ((p -' 1) div 2) is V11() integer V55() ext-real non positive set
1 + (- ((p -' 1) div 2)) is V11() integer V55() ext-real set
q - p9 is V11() integer V55() ext-real set
- p9 is V11() integer V55() ext-real non positive set
q + (- p9) is V11() integer V55() ext-real set
- (((p -' 1) div 2) - 1) is V11() integer V55() ext-real set
q + p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((p -' 1) div 2) + ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q + p9) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p . q) - (p . p9) is V11() integer V55() ext-real set
- (p . p9) is V11() integer V55() ext-real non positive set
(p . q) + (- (p . p9)) is V11() integer V55() ext-real set
q ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q ^2) - (p . p9) is V11() integer V55() ext-real set
(q ^2) + (- (p . p9)) is V11() integer V55() ext-real set
p9 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 * p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q ^2) - (p9 ^2) is V11() integer V55() ext-real set
- (p9 ^2) is V11() integer V55() ext-real non positive set
(q ^2) + (- (p9 ^2)) is V11() integer V55() ext-real set
(q - p9) * (q + p9) is V11() integer V55() ext-real set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
abs (q - p9) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
1 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg ((p -' 1) div 2) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
((p -' 1) / 2) * 2 is V11() V55() ext-real non negative set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p . q) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q ^2) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p . q) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V11() integer V55() ext-real set
(p ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(p ^2) + (- p) is V11() integer V55() ext-real set
((p ^2) - p) mod q is V11() integer V55() ext-real set
q - 1 is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
2 * ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p mod q is V11() integer V55() ext-real set
(p ^2) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p ^2) |^ ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) |^ ((q -' 1) div 2)) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p |^ 2 is V11() integer V55() ext-real set
(p |^ 2) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
((p |^ 2) |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
p |^ (q -' 1) is V11() integer V55() ext-real set
(p |^ (q -' 1)) mod q is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- p is V11() integer V55() ext-real set
abs q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(abs p) gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q |^ (q -' 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q |^ (q -' 1)) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- p) |^ 2 is V11() integer V55() ext-real set
((- p) |^ 2) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(((- p) |^ 2) |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q |^ ((p -' 1) div 2)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p |^ (p -' 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p |^ (p -' 1)) - 1 is V11() integer V55() ext-real set
(p |^ (p -' 1)) + (- 1) is V11() integer V55() ext-real set
p |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p |^ ((p -' 1) div 2)) |^ 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p |^ ((p -' 1) div 2)) |^ 2) - 1 is V11() integer V55() ext-real set
((p |^ ((p -' 1) div 2)) |^ 2) + (- 1) is V11() integer V55() ext-real set
(p |^ ((p -' 1) div 2)) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p |^ ((p -' 1) div 2)) * (p |^ ((p -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((p |^ ((p -' 1) div 2)) ^2) - 1 is V11() integer V55() ext-real set
((p |^ ((p -' 1) div 2)) ^2) + (- 1) is V11() integer V55() ext-real set
(p |^ ((p -' 1) div 2)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p |^ ((p -' 1) div 2)) - 1 is V11() integer V55() ext-real set
(p |^ ((p -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
((p |^ ((p -' 1) div 2)) + 1) * ((p |^ ((p -' 1) div 2)) - 1) is V11() integer V55() ext-real set
(p |^ (p -' 1)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p |^ (p -' 1)) - 1) mod p is V11() integer V55() ext-real set
2 - 1 is V11() integer V55() ext-real set
2 + (- 1) is V11() integer V55() ext-real set
1 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 / 2 is V11() V55() ext-real non negative set
2 * (2 ") is V11() V55() ext-real non negative set
[\(2 / 2)/] is V11() integer V55() ext-real set
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
- (p - 1) is V11() integer V55() ext-real set
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real non positive set
(1 ^2) + (- p) is V11() integer V55() ext-real set
((1 ^2) - p) mod p is V11() integer V55() ext-real set
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p |^ 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p |^ 1) - 1 is V11() integer V55() ext-real set
(p |^ 1) + (- 1) is V11() integer V55() ext-real set
(p + 1) * ((p |^ 1) - 1) is V11() integer V55() ext-real set
(p + 1) * (p - 1) is V11() integer V55() ext-real set
p - (- 1) is V11() integer V55() ext-real non negative set
- (- 1) is V11() integer V55() ext-real non negative set
p + (- (- 1)) is V11() integer V55() ext-real non negative set
p mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) mod p is V11() integer V55() ext-real set
- 2 is V11() integer V55() ext-real non positive set
- p is V11() integer V55() ext-real non positive set
(- 2) + 1 is V11() integer V55() ext-real set
((p -' 1) div 2) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) -' 1) |-> 0 is V12() empty-yielding V15( NAT ) V16( NAT ) Function-like finite ((p -' 1) div 2) -' 1 -element FinSequence-like FinSubsequence-like Function-yielding V64() V65() V66() V67() Cardinal-yielding V108() V109() Element of (((p -' 1) div 2) -' 1) -tuples_on NAT
(((p -' 1) div 2) -' 1) -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 V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of NAT * : len b₁ = ((p -' 1) div 2) -' 1 } is set
Seg (((p -' 1) div 2) -' 1) is finite ((p -' 1) div 2) -' 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (((p -' 1) div 2) -' 1)) --> 0 is V12() V15( Seg (((p -' 1) div 2) -' 1)) V16( RAT ) V16( INT ) V16({0}) Function-like V26( Seg (((p -' 1) div 2) -' 1),{0}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() Element of bool [:(Seg (((p -' 1) div 2) -' 1)),{0}:]
{0} is non empty trivial functional finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
[:(Seg (((p -' 1) div 2) -' 1)),{0}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg (((p -' 1) div 2) -' 1)),{0}:] is non empty finite V42() set
<*(- 1)*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0) is non empty V12() V15( NAT ) Function-like finite 1 + (((p -' 1) div 2) -' 1) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
1 + (((p -' 1) div 2) -' 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len ((((p -' 1) div 2) -' 1) |-> 0) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + (((p -' 1) div 2) -' 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*1*> is non empty trivial V12() V15( NAT ) V16( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V68() V69() V70() V71() Cardinal-yielding V109() FinSequence of NAT
(<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) ^ <*1*> is non empty V12() V15( NAT ) Function-like finite (1 + (((p -' 1) div 2) -' 1)) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
(1 + (((p -' 1) div 2) -' 1)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*> is non empty V12() V15( NAT ) V16( REAL ) Function-like finite (((p -' 1) div 2) -' 1) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
(((p -' 1) div 2) -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>) is non empty V12() V15( NAT ) Function-like finite 1 + ((((p -' 1) div 2) -' 1) + 1) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
1 + ((((p -' 1) div 2) -' 1) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + (len (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + ((((p -' 1) div 2) -' 1) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + ((p -' 1) div 2) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 . 1 is V11() integer V55() ext-real set
(<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>)) . 1 is V11() V55() ext-real set
(q9) is V12() V15( INT ) V16( INT ) Function-like V26( INT , INT ) V64() V65() V66() Element of bool [:INT,INT:]
g1 is V11() integer V55() ext-real V59() Element of INT
(q9) . g1 is V11() integer V55() ext-real V59() Element of INT
g1 |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
(g1 |^ ((p -' 1) div 2)) - 1 is V11() integer V55() ext-real set
(g1 |^ ((p -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
g1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sum g1 is V11() integer V55() ext-real V59() Element of INT
<*(g1 |^ ((p -' 1) div 2))*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
(<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) ^ <*(g1 |^ ((p -' 1) div 2))*> is non empty V12() V15( NAT ) Function-like finite (1 + (((p -' 1) div 2) -' 1)) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g1 . g4 is V11() integer V55() ext-real set
((<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) ^ <*(g1 |^ ((p -' 1) div 2))*>) . g4 is V11() V55() ext-real set
((p -' 1) div 2) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (((p -' 1) div 2) + 1) is non empty finite ((p -' 1) div 2) + 1 -element ((p -' 1) div 2) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
((p -' 1) div 2) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . 1 is V11() integer V55() ext-real set
1 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (1 -' 1) is V11() integer V55() ext-real set
(q9 . 1) * (g1 |^ (1 -' 1)) is V11() integer V55() ext-real set
g1 |^ 0 is V11() integer V55() ext-real set
(q9 . 1) * (g1 |^ 0) is V11() integer V55() ext-real set
(q9 . 1) * 1 is V11() integer V55() ext-real set
((<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) ^ <*(g1 |^ ((p -' 1) div 2))*>) . 1 is V11() V55() ext-real set
((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*> is non empty V12() V15( NAT ) Function-like finite (((p -' 1) div 2) -' 1) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty V12() V15( NAT ) Function-like finite 1 + ((((p -' 1) div 2) -' 1) + 1) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
(<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>)) . 1 is V11() V55() ext-real set
g4 - 1 is V11() integer V55() ext-real set
g4 + (- 1) is V11() integer V55() ext-real set
(((p -' 1) div 2) + 1) - 1 is V11() integer V55() ext-real set
(((p -' 1) div 2) + 1) + (- 1) is V11() integer V55() ext-real set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((p -' 1) div 2) -' 1) |-> 0) . XX is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V59() V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of NAT
dom ((((p -' 1) div 2) -' 1) |-> 0) is finite ((p -' 1) div 2) -' 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
dom (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>) is non empty finite (((p -' 1) div 2) -' 1) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*> is non empty V12() V15( NAT ) Function-like finite (((p -' 1) div 2) -' 1) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
dom (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty finite (((p -' 1) div 2) -' 1) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q9 . g4 is V11() integer V55() ext-real set
XX + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>)) . (XX + 1) is V11() V55() ext-real set
(((((p -' 1) div 2) -' 1) |-> 0) ^ <*1*>) . XX is V11() V55() ext-real set
<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty V12() V15( NAT ) Function-like finite 1 + ((((p -' 1) div 2) -' 1) + 1) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
(<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>)) . (XX + 1) is V11() V55() ext-real set
(((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) . XX is V11() V55() ext-real set
g4 -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ (g4 -' 1) is V11() integer V55() ext-real set
(q9 . g4) * (g1 |^ (g4 -' 1)) is V11() integer V55() ext-real set
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q9 . g4 is V11() integer V55() ext-real set
(((p -' 1) div 2) + 1) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 |^ ((((p -' 1) div 2) + 1) -' 1) is V11() integer V55() ext-real set
1 * (g1 |^ ((((p -' 1) div 2) + 1) -' 1)) is V11() integer V55() ext-real set
len ((<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*> is non empty V12() V15( NAT ) Function-like finite (((p -' 1) div 2) -' 1) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty V12() V15( NAT ) Function-like finite 1 + ((((p -' 1) div 2) -' 1) + 1) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
len (<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 + (len (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((<*(- 1)*> ^ ((((p -' 1) div 2) -' 1) |-> 0)) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty finite (1 + (((p -' 1) div 2) -' 1)) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*> is non empty V12() V15( NAT ) Function-like finite (((p -' 1) div 2) -' 1) + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is non empty V12() V15( NAT ) Function-like finite 1 + ((((p -' 1) div 2) -' 1) + 1) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
Sum (<*(- 1)*> ^ (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>)) is V11() V55() ext-real set
Sum (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>) is V11() V55() ext-real set
(- 1) + (Sum (((((p -' 1) div 2) -' 1) |-> 0) ^ <*(g1 |^ ((p -' 1) div 2))*>)) is V11() V55() ext-real set
Sum ((((p -' 1) div 2) -' 1) |-> 0) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum ((((p -' 1) div 2) -' 1) |-> 0)) + (g1 |^ ((p -' 1) div 2)) is V11() integer V55() ext-real set
(- 1) + ((Sum ((((p -' 1) div 2) -' 1) |-> 0)) + (g1 |^ ((p -' 1) div 2))) is V11() integer V55() ext-real set
(((p -' 1) div 2) -' 1) * 0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V59() V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of NAT
((((p -' 1) div 2) -' 1) * 0) + (g1 |^ ((p -' 1) div 2)) is V11() integer V55() ext-real set
(- 1) + (((((p -' 1) div 2) -' 1) * 0) + (g1 |^ ((p -' 1) div 2))) is V11() integer V55() ext-real set
g1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((p -' 1) div 2) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 . (((p -' 1) div 2) + 1) is V11() integer V55() ext-real set
((p |^ ((p -' 1) div 2)) - 1) mod p is V11() integer V55() ext-real set
g1 is V11() integer V55() ext-real V59() Element of INT
<*g1*> is non empty trivial V12() V15( NAT ) V16( INT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of INT
g1 ^ <*g1*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
g4 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g4 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g4 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g4 . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 is V11() integer V55() ext-real set
f2 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 * f2 is V11() integer V55() ext-real set
(f2 ^2) - (g4 . XX) is V11() integer V55() ext-real set
- (g4 . XX) is V11() integer V55() ext-real non positive set
(f2 ^2) + (- (g4 . XX)) is V11() integer V55() ext-real set
((f2 ^2) - (g4 . XX)) mod p is V11() integer V55() ext-real set
(g4 . XX) - g1 is V11() integer V55() ext-real set
- g1 is V11() integer V55() ext-real set
(g4 . XX) + (- g1) is V11() integer V55() ext-real set
((f2 ^2) - (g4 . XX)) + ((g4 . XX) - g1) is V11() integer V55() ext-real set
(f2 ^2) - g1 is V11() integer V55() ext-real set
(f2 ^2) + (- g1) is V11() integer V55() ext-real set
((f2 ^2) - g1) mod p is V11() integer V55() ext-real set
g1 . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 is V11() integer V55() ext-real set
f2 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 * f2 is V11() integer V55() ext-real set
(f2 ^2) - (g4 . f1) is V11() integer V55() ext-real set
- (g4 . f1) is V11() integer V55() ext-real non positive set
(f2 ^2) + (- (g4 . f1)) is V11() integer V55() ext-real set
((f2 ^2) - (g4 . f1)) mod p is V11() integer V55() ext-real set
g1 - (g4 . f1) is V11() integer V55() ext-real set
g1 + (- (g4 . f1)) is V11() integer V55() ext-real set
((f2 ^2) - (g4 . f1)) - (g1 - (g4 . f1)) is V11() integer V55() ext-real set
- (g1 - (g4 . f1)) is V11() integer V55() ext-real set
((f2 ^2) - (g4 . f1)) + (- (g1 - (g4 . f1))) is V11() integer V55() ext-real set
(f2 ^2) - g1 is V11() integer V55() ext-real set
- g1 is V11() integer V55() ext-real set
(f2 ^2) + (- g1) is V11() integer V55() ext-real set
((f2 ^2) - g1) mod p is V11() integer V55() ext-real set
(q9) . g1 is V11() integer V55() ext-real V59() Element of INT
((q9) . g1) mod p is V11() integer V55() ext-real set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g4 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q9) . (g4 . XX) is V11() integer V55() ext-real set
((q9) . (g4 . XX)) mod p is V11() integer V55() ext-real set
Seg (((p -' 1) div 2) + 1) is non empty finite ((p -' 1) div 2) + 1 -element ((p -' 1) div 2) + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
((p -' 1) div 2) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . XX) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(g1 . XX) |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((g1 . XX) |^ ((p -' 1) div 2)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V11() integer V55() ext-real V59() Element of INT
f1 |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
(f1 |^ ((p -' 1) div 2)) - 1 is V11() integer V55() ext-real set
(f1 |^ ((p -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
((f1 |^ ((p -' 1) div 2)) - 1) mod p is V11() integer V55() ext-real set
(q9) . f1 is V11() integer V55() ext-real V59() Element of INT
((q9) . f1) mod p is V11() integer V55() ext-real set
XX is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p * g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
- p is V11() integer V55() ext-real non positive set
(- 1) mod p is V11() integer V55() ext-real set
(- 1) + p is V11() integer V55() ext-real set
(p |^ ((p -' 1) div 2)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p * g1) + (- 1) is V11() integer V55() ext-real set
((p * g1) + (- 1)) mod p is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
q - 1 is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q |^ ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q |^ ((q -' 1) div 2)) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) - 1 is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) - 1) mod q is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
1 mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + 1 is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) mod q is V11() integer V55() ext-real set
q - 1 is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
2 - 1 is V11() integer V55() ext-real set
2 + (- 1) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
(q - 1) mod q is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) - (q - 1) is V11() integer V55() ext-real set
- (q - 1) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + (- (q - 1)) is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) - q is V11() integer V55() ext-real set
- q is V11() integer V55() ext-real non positive set
((p |^ ((q -' 1) div 2)) + 1) + (- q) is V11() integer V55() ext-real set
- (((p |^ ((q -' 1) div 2)) + 1) - q) is V11() integer V55() ext-real set
q - ((p |^ ((q -' 1) div 2)) + 1) is V11() integer V55() ext-real set
- ((p |^ ((q -' 1) div 2)) + 1) is V11() integer V55() ext-real set
q + (- ((p |^ ((q -' 1) div 2)) + 1)) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p is V11() integer V55() ext-real set
p * p is V11() integer V55() ext-real set
q is V11() integer V55() ext-real set
q ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q is V11() integer V55() ext-real set
(q ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(q ^2) + (- p) is V11() integer V55() ext-real set
((q ^2) - p) mod q is V11() integer V55() ext-real set
p9 is V11() integer V55() ext-real set
p9 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 * p9 is V11() integer V55() ext-real set
(p9 ^2) - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real set
(p9 ^2) + (- p) is V11() integer V55() ext-real set
((p9 ^2) - p) mod q is V11() integer V55() ext-real set
(q ^2) * (p9 ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * p9 is V11() integer V55() ext-real set
(q * p9) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * p9) * (q * p9) is V11() integer V55() ext-real set
((q * p9) ^2) - (p * p) is V11() integer V55() ext-real set
- (p * p) is V11() integer V55() ext-real set
((q * p9) ^2) + (- (p * p)) is V11() integer V55() ext-real set
(((q * p9) ^2) - (p * p)) mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V11() integer V55() ext-real set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p * p is V11() integer V55() ext-real set
(p * p) gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + 1 is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) mod q is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) - 1 is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) - 1) * ((p |^ ((q -' 1) div 2)) + 1) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) * 1 is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1) is V11() integer V55() ext-real set
1 * (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
(((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1)) - (1 * (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
- (1 * (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
(((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1)) + (- (1 * (p |^ ((q -' 1) div 2)))) is V11() integer V55() ext-real set
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1)) - (1 * (p |^ ((q -' 1) div 2)))) - (1 * 1) is V11() integer V55() ext-real set
- (1 * 1) is V11() integer V55() ext-real non positive set
((((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1)) - (1 * (p |^ ((q -' 1) div 2)))) + (- (1 * 1)) is V11() integer V55() ext-real set
(p * p) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
((p * p) |^ ((q -' 1) div 2)) + ((p |^ ((q -' 1) div 2)) * 1) is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) + ((p |^ ((q -' 1) div 2)) * 1)) - (1 * (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) + ((p |^ ((q -' 1) div 2)) * 1)) + (- (1 * (p |^ ((q -' 1) div 2)))) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) + ((p |^ ((q -' 1) div 2)) * 1)) - (1 * (p |^ ((q -' 1) div 2)))) - (1 * 1) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) + ((p |^ ((q -' 1) div 2)) * 1)) - (1 * (p |^ ((q -' 1) div 2)))) + (- (1 * 1)) is V11() integer V55() ext-real set
((p * p) |^ ((q -' 1) div 2)) - 1 is V11() integer V55() ext-real set
((p * p) |^ ((q -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) - 1) + ((p |^ ((q -' 1) div 2)) - 1) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) - 1 is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + (- 1) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) - 1) + ((p |^ ((q -' 1) div 2)) - 1)) - ((p |^ ((q -' 1) div 2)) - 1) is V11() integer V55() ext-real set
- ((p |^ ((q -' 1) div 2)) - 1) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) - 1) + ((p |^ ((q -' 1) div 2)) - 1)) + (- ((p |^ ((q -' 1) div 2)) - 1)) is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) - 1) mod q is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) - 1) mod q is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) - ((p |^ ((q -' 1) div 2)) - 1) is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) + (- ((p |^ ((q -' 1) div 2)) - 1)) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V11() integer V55() ext-real set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p * p is V11() integer V55() ext-real set
(p * p) gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + 1 is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) mod q is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) + 1 is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) * ((p |^ ((q -' 1) div 2)) + 1) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) * 1 is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1) is V11() integer V55() ext-real set
1 * (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
(((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1)) + (1 * (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2))) + ((p |^ ((q -' 1) div 2)) * 1)) + (1 * (p |^ ((q -' 1) div 2)))) + (1 * 1) is V11() integer V55() ext-real set
(p * p) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
((p * p) |^ ((q -' 1) div 2)) + (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) + (p |^ ((q -' 1) div 2))) + (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) + (p |^ ((q -' 1) div 2))) + (p |^ ((q -' 1) div 2))) + 1 is V11() integer V55() ext-real set
((p * p) |^ ((q -' 1) div 2)) + 1 is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) + 1) + ((p |^ ((q -' 1) div 2)) + 1) is V11() integer V55() ext-real set
1 - (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
- (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
1 + (- (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) + 1) + ((p |^ ((q -' 1) div 2)) + 1)) - (1 - (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
- (1 - (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
((((p * p) |^ ((q -' 1) div 2)) + 1) + ((p |^ ((q -' 1) div 2)) + 1)) + (- (1 - (p |^ ((q -' 1) div 2)))) is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) mod q is V11() integer V55() ext-real set
(((p * p) |^ ((q -' 1) div 2)) + 1) mod q is V11() integer V55() ext-real set
((p |^ ((q -' 1) div 2)) + 1) + (1 - (p |^ ((q -' 1) div 2))) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
(p,q) is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod q is V11() integer V55() ext-real set
((p ^2),q) is V11() integer V55() ext-real set
(p ^2) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
(1,p) is V11() integer V55() ext-real set
1 mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((1 ^2),p) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p,q) is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
- q is V11() integer V55() ext-real non positive set
(- 1) mod q is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
1 mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p,q) mod q is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
q - 1 is V11() integer V55() ext-real set
(p,q) mod q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p,q) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
(p,q) is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p,q) mod q is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p,q) mod q is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) mod q is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
p mod q is V11() integer V55() ext-real set
(p,q) - (p,q) is V11() integer V55() ext-real set
- (p,q) is V11() integer V55() ext-real set
(p,q) + (- (p,q)) is V11() integer V55() ext-real set
- 2 is V11() integer V55() ext-real non positive set
p is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p,q) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
p gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p * p is V11() integer V55() ext-real set
((p * p),q) is V11() integer V55() ext-real set
(p,q) is V11() integer V55() ext-real set
(p,q) * (p,q) is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
p |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p |^ ((q -' 1) div 2)) * (p |^ ((q -' 1) div 2)) is V11() integer V55() ext-real set
(p * p) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(p * p) gcd q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((p * p),q) - ((p,q) * (p,q)) is V11() integer V55() ext-real set
- ((p,q) * (p,q)) is V11() integer V55() ext-real set
((p * p),q) + (- ((p,q) * (p,q))) is V11() integer V55() ext-real set
1 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- 2 is V11() integer V55() ext-real non positive set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product p is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product q is V11() integer V55() ext-real set
p is V11() integer V55() ext-real V59() Element of INT
<*p*> is non empty trivial V12() V15( NAT ) V16( INT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of INT
q ^ <*p*> is non empty V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom (q ^ <*p*>) is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product (q ^ <*p*>) is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . p9 is V11() integer V55() ext-real set
(q ^ <*p*>) . p9 is V11() integer V55() ext-real set
len (q ^ <*p*>) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Product q) * p is V11() integer V55() ext-real set
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len q) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q ^ <*p*>) . ((len q) + 1) is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . p9 is V11() integer V55() ext-real set
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q ^ <*p*>) . p9 is V11() integer V55() ext-real set
<*> INT is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( INT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() FinSequence of INT
[:NAT,INT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
dom (<*> INT) is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of bool NAT
Product (<*> INT) is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product p is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product q is V11() integer V55() ext-real set
p9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
f1 is V11() integer V55() ext-real V59() Element of INT
<*f1*> is non empty trivial V12() V15( NAT ) V16( INT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of INT
p9 ^ <*f1*> is non empty V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
q9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
g1 is V11() integer V55() ext-real V59() Element of INT
<*g1*> is non empty trivial V12() V15( NAT ) V16( INT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of INT
q9 ^ <*g1*> is non empty V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len p9) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . (q + 1) is V11() integer V55() ext-real set
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len q9) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
p9 . g1 is V11() integer V55() ext-real set
p . g1 is V11() integer V55() ext-real set
q . g1 is V11() integer V55() ext-real set
Product q9 is V11() integer V55() ext-real set
Product p9 is V11() integer V55() ext-real set
p . (q + 1) is V11() integer V55() ext-real set
(Product q9) * g1 is V11() integer V55() ext-real set
(Product p9) * f1 is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product p is V11() integer V55() ext-real set
Product q is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product q is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product p is V11() integer V55() ext-real set
<*> INT is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( INT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() FinSequence of INT
[:NAT,INT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product q is V11() integer V55() ext-real set
Product p is V11() integer V55() ext-real set
p is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product p is V11() integer V55() ext-real set
(- 1) |^ (len p) is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product q is V11() integer V55() ext-real set
((- 1) |^ (len p)) * (Product q) is V11() integer V55() ext-real set
p9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
f1 is V11() integer V55() ext-real V59() Element of INT
<*f1*> is non empty trivial V12() V15( NAT ) V16( INT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of INT
p9 ^ <*f1*> is non empty V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
q9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
g1 is V11() integer V55() ext-real V59() Element of INT
<*g1*> is non empty trivial V12() V15( NAT ) V16( INT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of INT
q9 ^ <*g1*> is non empty V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len p9) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . (q + 1) is V11() integer V55() ext-real set
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len q9) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
p9 . g1 is V11() integer V55() ext-real set
- (p9 . g1) is V11() integer V55() ext-real set
p . g1 is V11() integer V55() ext-real set
q . g1 is V11() integer V55() ext-real set
Product q9 is V11() integer V55() ext-real set
(- 1) |^ (len q9) is V11() integer V55() ext-real set
Product p9 is V11() integer V55() ext-real set
((- 1) |^ (len q9)) * (Product p9) is V11() integer V55() ext-real set
p . (q + 1) is V11() integer V55() ext-real set
- f1 is V11() integer V55() ext-real set
(Product q9) * g1 is V11() integer V55() ext-real set
(((- 1) |^ (len q9)) * (Product p9)) * (- f1) is V11() integer V55() ext-real set
((- 1) |^ (len q9)) * (- 1) is V11() integer V55() ext-real set
(Product p9) * f1 is V11() integer V55() ext-real set
(((- 1) |^ (len q9)) * (- 1)) * ((Product p9) * f1) is V11() integer V55() ext-real set
(- 1) |^ ((len q9) + 1) is V11() integer V55() ext-real set
((- 1) |^ ((len q9) + 1)) * ((Product p9) * f1) is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product p is V11() integer V55() ext-real set
(- 1) |^ (len p) is V11() integer V55() ext-real set
Product q is V11() integer V55() ext-real set
((- 1) |^ (len p)) * (Product q) is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product q is V11() integer V55() ext-real set
(- 1) |^ (len q) is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product p is V11() integer V55() ext-real set
((- 1) |^ (len q)) * (Product p) is V11() integer V55() ext-real set
<*> INT is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( INT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() FinSequence of INT
[:NAT,INT:] is non empty non trivial V12() V16( RAT ) V16( INT ) non finite V64() V65() V66() set
q is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product q is V11() integer V55() ext-real set
(- 1) |^ (len q) is V11() integer V55() ext-real set
Product p is V11() integer V55() ext-real set
((- 1) |^ (len q)) * (Product p) is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
q is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Product q),p) is V11() integer V55() ext-real set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
q |^ ((p -' 1) div 2) is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() M26( REAL , NAT )
f1 is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . q9 is set
q . q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . q9),p) is V11() integer V55() ext-real set
p9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
p9 . g1 is V11() integer V55() ext-real set
q . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . g1) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((q . g1),p) is V11() integer V55() ext-real set
(q . g1) |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product p9 is V11() integer V55() ext-real set
Product q9 is V11() integer V55() ext-real set
(Product q) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(Product q) |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Product q),p) - (Product q9) is V11() integer V55() ext-real set
- (Product q9) is V11() integer V55() ext-real set
((Product q),p) + (- (Product q9)) is V11() integer V55() ext-real set
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
q . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . g1),p) is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
q . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . g1),p) is V11() integer V55() ext-real set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
q . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . g1),p) is V11() integer V55() ext-real set
- 2 is V11() integer V55() ext-real non positive set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V11() integer V55() ext-real set
q . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . g1),p) is V11() integer V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((p ^2) * q),p) is V11() integer V55() ext-real set
(q,p) is V11() integer V55() ext-real set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*q,p9*> is non empty V12() V15( NAT ) Function-like finite 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
p mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2),p) is V11() integer V55() ext-real set
q9 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom q9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() prime Element of NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q9 . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q9 . g1) gcd g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len q9) is finite len q9 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Product q9),g1) is V11() integer V55() ext-real set
g1 is V12() V15( NAT ) V16( INT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of INT
len g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product g1 is V11() integer V55() ext-real set
g1 . 2 is V11() integer V55() ext-real set
q9 . 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q9 . 2),g1) is V11() integer V55() ext-real set
(p9,g1) is V11() integer V55() ext-real set
g1 . 1 is V11() integer V55() ext-real set
q9 . 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q9 . 1),g1) is V11() integer V55() ext-real set
((p ^2),g1) is V11() integer V55() ext-real set
<*1,(p9,g1)*> is non empty V12() V15( NAT ) Function-like finite 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
1 * (p9,g1) is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
((- 1),p) is V11() integer V55() ext-real set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
(- 1) |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
abs ((- 1) |^ ((p -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- ((- 1) |^ ((p -' 1) div 2)) is V11() integer V55() ext-real set
(- 1) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(- 1) |^ 1 is V11() integer V55() ext-real set
((- 1) |^ 1) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
abs ((- 1) |^ 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(abs ((- 1) |^ 1)) gcd (abs p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
1 gcd (abs p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((- 1),p) - 1 is V11() integer V55() ext-real set
((- 1),p) + (- 1) is V11() integer V55() ext-real set
- 2 is V11() integer V55() ext-real non positive set
1 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((- 1),p) - (- 1) is V11() integer V55() ext-real set
- (- 1) is V11() integer V55() ext-real non negative set
((- 1),p) + (- (- 1)) is V11() integer V55() ext-real set
1 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
p div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 4 is V11() V55() ext-real non negative set
4 " is non empty V11() V55() ext-real positive non negative set
p * (4 ") is V11() V55() ext-real non negative set
[\(p / 4)/] is V11() integer V55() ext-real set
(p div 4) * 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p div 4) * 4) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (2 * (p div 4)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
(- 1) |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
(- 1) |^ (2 * (p div 4)) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 4) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((- 1),p) is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
p div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 4 is V11() V55() ext-real non negative set
4 " is non empty V11() V55() ext-real positive non negative set
p * (4 ") is V11() V55() ext-real non negative set
[\(p / 4)/] is V11() integer V55() ext-real set
(p div 4) * 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p div 4) * 4) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (p div 4)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((2 * (p div 4)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
(- 1) |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
(- 1) |^ ((2 * (p div 4)) + 1) is V11() integer V55() ext-real set
(- 1) |^ (2 * (p div 4)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (p div 4))) * (- 1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 4) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (p div 4)) * (- 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (p div 4)) * (- 1) is V11() integer V55() ext-real non positive set
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 ^2) |^ (p div 4)) * (- 1) is V11() integer V55() ext-real non positive set
1 * (- 1) is V11() integer V55() ext-real non positive set
((- 1),p) is V11() integer V55() ext-real set
(- 1) mod p is V11() integer V55() ext-real set
p is non empty set
q is V12() V15( NAT ) V16(p) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of p
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
Swap (q,p,q) is V12() V15( NAT ) V16(p) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of p
rng (Swap (q,p,q)) is finite Element of bool p
bool p is non empty set
rng q is finite Element of bool p
card (rng q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Swap (q,p,q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Swap (q,p,q)) is finite Element of bool p
bool p is non empty set
card (rng (Swap (q,p,q))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Swap (q,p,q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng q is finite Element of bool p
card (rng q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
Seg p is finite p -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg q is finite q -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (q + 1) is non empty finite q + 1 -element q + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
q + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p . (q + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*p9*> is non empty trivial V12() V15( NAT ) V16( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V68() V69() V70() V71() Cardinal-yielding V109() FinSequence of NAT
q ^ <*p9*> is non empty V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len q) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
{p9} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(rng q) \/ {p9} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng <*p9*> is non empty trivial finite 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(rng q) \/ (rng <*p9*>) is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (rng p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (Seg q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q + 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Swap (p,f1,(q + 1)) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len (Swap (p,f1,(q + 1))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*g1*> is non empty trivial V12() V15( NAT ) V16( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V68() V69() V70() V71() Cardinal-yielding V109() FinSequence of NAT
g1 ^ <*g1*> is non empty V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
len g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len g1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Swap (p,f1,(q + 1))) /. (q + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p /. f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Swap (p,f1,(q + 1))) . (q + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g1 . g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (Swap (p,f1,(q + 1))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(Swap (p,f1,(q + 1))) . g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Swap (p,f1,(q + 1))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p . g4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng (Swap (p,f1,(q + 1))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng <*g1*> is non empty trivial finite 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(rng g1) \/ (rng <*g1*>) is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
{(q + 1)} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg q) \/ {(q + 1)} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Seg 0 is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of bool NAT
q is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
idseq ((p -' 1) div 2) is V12() V15( NAT ) V16( RAT ) Function-like finite (p -' 1) div 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() set
Seg ((p -' 1) div 2) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
id (Seg ((p -' 1) div 2)) is V12() V15( Seg ((p -' 1) div 2)) V16( Seg ((p -' 1) div 2)) V16( RAT ) V16( INT ) Function-like one-to-one total finite V64() V65() V66() V67() V109() Element of bool [:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):]
[:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):] is non empty finite V42() set
p / 2 is V11() V55() ext-real non negative set
p * (2 ") is V11() V55() ext-real non negative set
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q * (idseq ((p -' 1) div 2)) is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() FinSequence of REAL
(q,p) is V11() integer V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(- 1) |^ p is V11() integer V55() ext-real set
q is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
q mod p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
rng (q mod p) is finite V74() V75() V76() Element of bool REAL
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in rng (q mod p) & not b₁ <= p / 2 ) } is set
card { b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in rng (q mod p) & not b₁ <= p / 2 ) } is V4() V5() V6() cardinal set
len (q mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 is set
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 is finite set
g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
card g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(rng (q mod p)) \ g1 is finite V74() V75() V76() Element of bool REAL
q |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
Sgm (rng (q mod p)) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Product (q mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Product (q mod p)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Product q) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
rng (idseq ((p -' 1) div 2)) is finite V74() V75() V76() V77() V78() V79() Element of bool RAT
bool RAT is non empty non trivial non finite set
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 - 1 is V11() integer V55() ext-real set
3 + (- 1) is V11() integer V55() ext-real set
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg f2 is finite f2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg f2) \/ {0} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((p -' 1) div 2) -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 V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = (p -' 1) div 2 } is set
((p -' 1) div 2) |-> q is V12() V15( NAT ) Function-like finite (p -' 1) div 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
(Seg ((p -' 1) div 2)) --> q is V12() V15( Seg ((p -' 1) div 2)) V16( INT ) V16({q}) Function-like V26( Seg ((p -' 1) div 2),{q}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() Element of bool [:(Seg ((p -' 1) div 2)),{q}:]
{q} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
[:(Seg ((p -' 1) div 2)),{q}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg ((p -' 1) div 2)),{q}:] is non empty finite V42() set
Product (((p -' 1) div 2) |-> q) is V11() V55() ext-real set
Product f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Product (((p -' 1) div 2) |-> q)) * (Product f1) is V11() V55() ext-real set
(q |^ ((p -' 1) div 2)) * (Product f1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) + 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) + 1) / 2 is V11() V55() ext-real non negative set
((p -' 1) + 1) * (2 ") is V11() V55() ext-real non negative set
[\(((p -' 1) + 1) / 2)/] is V11() integer V55() ext-real set
p div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
[\(p / 2)/] is V11() integer V55() ext-real set
2 * ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . n2) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
Seg (len f1) is finite len f1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Product f1) gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q . n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
Seg (len f1) is finite len f1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 . n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * (f1 . n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q mod p) . n2 is V11() V55() ext-real set
(q mod p) . g2 is V11() V55() ext-real set
q . g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . g2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . n2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . g2) - (q . n2) is V11() integer V55() ext-real set
- (q . n2) is V11() integer V55() ext-real non positive set
(q . g2) + (- (q . n2)) is V11() integer V55() ext-real set
q * g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * g2) - (q . n2) is V11() integer V55() ext-real set
(q * g2) + (- (q . n2)) is V11() integer V55() ext-real set
q * n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * g2) - (q * n2) is V11() integer V55() ext-real set
- (q * n2) is V11() integer V55() ext-real non positive set
(q * g2) + (- (q * n2)) is V11() integer V55() ext-real set
g2 - n2 is V11() integer V55() ext-real set
- n2 is V11() integer V55() ext-real non positive set
g2 + (- n2) is V11() integer V55() ext-real set
q * (g2 - n2) is V11() integer V55() ext-real set
((p -' 1) div 2) - 1 is V11() integer V55() ext-real set
((p -' 1) div 2) + (- 1) is V11() integer V55() ext-real set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
abs g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (rng (q mod p)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (q mod p) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q mod p) . g2 is V11() V55() ext-real set
q . g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . g2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 * g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(n2 * g2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) div 2) - g1 is V11() integer V55() ext-real set
- g1 is V11() integer V55() ext-real non positive set
((p -' 1) div 2) + (- g1) is V11() integer V55() ext-real set
g3 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng (Sgm (rng (q mod p))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product (Sgm (rng (q mod p))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sgm (rng (q mod p))) /^ n2 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len ((Sgm (rng (q mod p))) /^ n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len ((Sgm (rng (q mod p))) /^ n2)) |-> p is V12() V15( NAT ) Function-like finite len ((Sgm (rng (q mod p))) /^ n2) -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
Seg (len ((Sgm (rng (q mod p))) /^ n2)) is finite len ((Sgm (rng (q mod p))) /^ n2) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((Sgm (rng (q mod p))) /^ n2))) --> p is V12() V15( Seg (len ((Sgm (rng (q mod p))) /^ n2))) V16( INT ) V16({p}) Function-like V26( Seg (len ((Sgm (rng (q mod p))) /^ n2)),{p}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() Element of bool [:(Seg (len ((Sgm (rng (q mod p))) /^ n2))),{p}:]
{p} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
[:(Seg (len ((Sgm (rng (q mod p))) /^ n2))),{p}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg (len ((Sgm (rng (q mod p))) /^ n2))),{p}:] is non empty finite V42() set
((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
(Sgm (rng (q mod p))) | n2 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
((Sgm (rng (q mod p))) | n2) ^ (((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
dom (((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) is finite len ((Sgm (rng (q mod p))) /^ n2) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((Sgm (rng (q mod p))) /^ n2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom ((len ((Sgm (rng (q mod p))) /^ n2)) |-> p)) /\ (dom ((Sgm (rng (q mod p))) /^ n2)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len ((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len ((len ((Sgm (rng (q mod p))) /^ n2)) |-> p)) is finite len ((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((len ((Sgm (rng (q mod p))) /^ n2)) |-> p))) /\ (dom ((Sgm (rng (q mod p))) /^ n2)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((Sgm (rng (q mod p))) /^ n2))) /\ (dom ((Sgm (rng (q mod p))) /^ n2)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom ((Sgm (rng (q mod p))) /^ n2)) /\ (dom ((Sgm (rng (q mod p))) /^ n2)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len (((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g3 \/ g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sgm (g3 \/ g1) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sgm g3 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sgm g1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(Sgm g3) ^ (Sgm g1) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
(rng (q mod p)) \/ g1 is finite V74() V75() V76() set
Sgm ((rng (q mod p)) \/ g1) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) . XX is V11() V55() ext-real set
((Sgm (rng (q mod p))) /^ n2) . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (q mod p))) /^ n2) . XX) is V11() integer V55() ext-real set
- (((Sgm (rng (q mod p))) /^ n2) . XX) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (q mod p))) /^ n2) . XX)) is V11() integer V55() ext-real set
((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) . XX is V11() V55() ext-real set
len (Sgm g3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) . XX is V11() V55() ext-real set
(Sgm g1) . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Sgm g1) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (q mod p))) /^ n2) . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q mod p) . YY is V11() V55() ext-real set
q . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . YY) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (q mod p))) /^ n2) . XX) is V11() integer V55() ext-real set
- (((Sgm (rng (q mod p))) /^ n2) . XX) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (q mod p))) /^ n2) . XX)) is V11() integer V55() ext-real set
p - (p / 2) is V11() V55() ext-real set
- (p / 2) is V11() V55() ext-real non positive set
p + (- (p / 2)) is V11() V55() ext-real set
mm is V11() integer V55() ext-real V59() Element of INT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) is finite V74() V75() V76() Element of bool REAL
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((len ((Sgm (rng (q mod p))) /^ n2)) |-> p) - ((Sgm (rng (q mod p))) /^ n2)) . XX is V11() V55() ext-real set
(- 1) |^ g1 is V11() integer V55() ext-real set
abs ((- 1) |^ g1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- ((- 1) |^ g1) is V11() integer V55() ext-real set
XX is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
mm is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom mm is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
mm . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((Sgm (rng (q mod p))) | n2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sgm (rng (q mod p))) | n2) . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Sgm g3) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len ((Sgm (rng (q mod p))) | n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(len ((Sgm (rng (q mod p))) | n2)) + N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len ((Sgm (rng (q mod p))) | n2)) + N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((Sgm (rng (q mod p))) | n2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len ((Sgm (rng (q mod p))) | n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sgm (rng (q mod p))) | n2) ^ ((Sgm (rng (q mod p))) /^ n2) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
len XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (q mod p))) /^ n2) . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (q mod p))) /^ n2) . N) is V11() integer V55() ext-real set
- (((Sgm (rng (q mod p))) /^ n2) . N) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (q mod p))) /^ n2) . N)) is V11() integer V55() ext-real set
((Sgm (rng (q mod p))) /^ n2) . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (q mod p))) /^ n2) . YY) is V11() integer V55() ext-real set
- (((Sgm (rng (q mod p))) /^ n2) . YY) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (q mod p))) /^ n2) . YY)) is V11() integer V55() ext-real set
rng XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
card (rng XX) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Sgm (rng (q mod p))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng ((Sgm (rng (q mod p))) | n2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
YY is set
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
XX . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sgm (rng (q mod p))) /^ n2) . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (q mod p))) /^ n2) . N) is V11() integer V55() ext-real set
- (((Sgm (rng (q mod p))) /^ n2) . N) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (q mod p))) /^ n2) . N)) is V11() integer V55() ext-real set
N + n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sgm (rng (q mod p))) . (N + n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - ((Sgm (rng (q mod p))) . (N + n2)) is V11() integer V55() ext-real set
- ((Sgm (rng (q mod p))) . (N + n2)) is V11() integer V55() ext-real non positive set
p + (- ((Sgm (rng (q mod p))) . (N + n2))) is V11() integer V55() ext-real set
dom (Sgm (rng (q mod p))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q mod p) . nn is V11() V55() ext-real set
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q mod p) . f2 is V11() V55() ext-real set
f2 + nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((p -' 1) div 2) + ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . f2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . f2) mod p) + ((Sgm (rng (q mod p))) . (N + n2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q . nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . nn) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . f2) mod p) + ((q . nn) mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((q . f2) mod p) + ((q . nn) mod p)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q . f2) + (q . nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q . f2) + (q . nn)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f2 * q) + (q . nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
nn * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f2 * q) + (nn * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f2 + nn) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
dom XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
XX . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sgm (rng (q mod p))) /^ n2) . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
- (((Sgm (rng (q mod p))) /^ n2) . YY) is V11() integer V55() ext-real non positive set
(XX . YY) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (q mod p))) /^ n2) . YY) is V11() integer V55() ext-real set
p + (- (((Sgm (rng (q mod p))) /^ n2) . YY)) is V11() integer V55() ext-real set
(p - (((Sgm (rng (q mod p))) /^ n2) . YY)) mod p is V11() integer V55() ext-real set
1 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 * p) + (- (((Sgm (rng (q mod p))) /^ n2) . YY)) is V11() integer V55() ext-real set
((1 * p) + (- (((Sgm (rng (q mod p))) /^ n2) . YY))) mod p is V11() integer V55() ext-real set
(- (((Sgm (rng (q mod p))) /^ n2) . YY)) mod p is V11() integer V55() ext-real set
(len (Sgm (rng (q mod p)))) -' n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len (Sgm (rng (q mod p)))) - n2 is V11() integer V55() ext-real set
- n2 is V11() integer V55() ext-real non positive set
(len (Sgm (rng (q mod p)))) + (- n2) is V11() integer V55() ext-real set
len ((Sgm (rng (q mod p))) | n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n2 + g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng mm is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Product mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product ((Sgm (rng (q mod p))) | n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Product ((Sgm (rng (q mod p))) | n2)) * (Product XX) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Product XX) * (Product ((Sgm (rng (q mod p))) | n2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Product ((Sgm (rng (q mod p))) /^ n2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((- 1) |^ g1) * (Product ((Sgm (rng (q mod p))) /^ n2)) is V11() integer V55() ext-real set
(((- 1) |^ g1) * (Product ((Sgm (rng (q mod p))) /^ n2))) * (Product ((Sgm (rng (q mod p))) | n2)) is V11() integer V55() ext-real set
(Product ((Sgm (rng (q mod p))) | n2)) * (Product ((Sgm (rng (q mod p))) /^ n2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((- 1) |^ g1) * ((Product ((Sgm (rng (q mod p))) | n2)) * (Product ((Sgm (rng (q mod p))) /^ n2))) is V11() integer V55() ext-real set
Product (((Sgm (rng (q mod p))) | n2) ^ ((Sgm (rng (q mod p))) /^ n2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((- 1) |^ g1) * (Product (((Sgm (rng (q mod p))) | n2) ^ ((Sgm (rng (q mod p))) /^ n2))) is V11() integer V55() ext-real set
((- 1) |^ g1) * (Product (q mod p)) is V11() integer V55() ext-real set
((- 1) |^ g1) * (Product q) is V11() integer V55() ext-real set
((- 1) |^ g1) * (q |^ ((p -' 1) div 2)) is V11() integer V55() ext-real set
(((- 1) |^ g1) * (q |^ ((p -' 1) div 2))) * (Product f1) is V11() integer V55() ext-real set
1 * (Product f1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 * (Product f1)) - ((((- 1) |^ g1) * (q |^ ((p -' 1) div 2))) * (Product f1)) is V11() integer V55() ext-real set
- ((((- 1) |^ g1) * (q |^ ((p -' 1) div 2))) * (Product f1)) is V11() integer V55() ext-real set
(1 * (Product f1)) + (- ((((- 1) |^ g1) * (q |^ ((p -' 1) div 2))) * (Product f1))) is V11() integer V55() ext-real set
1 - (((- 1) |^ g1) * (q |^ ((p -' 1) div 2))) is V11() integer V55() ext-real set
- (((- 1) |^ g1) * (q |^ ((p -' 1) div 2))) is V11() integer V55() ext-real set
1 + (- (((- 1) |^ g1) * (q |^ ((p -' 1) div 2)))) is V11() integer V55() ext-real set
(1 - (((- 1) |^ g1) * (q |^ ((p -' 1) div 2)))) * (Product f1) is V11() integer V55() ext-real set
((- 1) |^ g1) * (1 - (((- 1) |^ g1) * (q |^ ((p -' 1) div 2)))) is V11() integer V55() ext-real set
((- 1) |^ g1) * ((- 1) |^ g1) is V11() integer V55() ext-real set
(((- 1) |^ g1) * ((- 1) |^ g1)) * (q |^ ((p -' 1) div 2)) is V11() integer V55() ext-real set
((- 1) |^ g1) - ((((- 1) |^ g1) * ((- 1) |^ g1)) * (q |^ ((p -' 1) div 2))) is V11() integer V55() ext-real set
- ((((- 1) |^ g1) * ((- 1) |^ g1)) * (q |^ ((p -' 1) div 2))) is V11() integer V55() ext-real set
((- 1) |^ g1) + (- ((((- 1) |^ g1) * ((- 1) |^ g1)) * (q |^ ((p -' 1) div 2)))) is V11() integer V55() ext-real set
g1 + g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (g1 + g1) is V11() integer V55() ext-real set
2 * g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * g1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ g1 is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ g1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 - (- 1) is non empty V11() integer V55() ext-real positive non negative set
- (- 1) is V11() integer V55() ext-real non negative set
1 + (- (- 1)) is non empty V11() integer V55() ext-real positive non negative set
1 - 0 is non empty V11() integer V55() ext-real positive non negative set
- 0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() set
1 + (- 0) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative set
(- 1) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- 1) + (- 1) is V11() integer V55() ext-real non positive set
- 2 is V11() integer V55() ext-real non positive set
(- 1) - 0 is V11() integer V55() ext-real non positive set
- 0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() set
(- 1) + (- 0) is V11() integer V55() ext-real non positive set
8 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
(2,p) is V11() integer V55() ext-real set
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) / 8 is V11() V55() ext-real non negative set
8 " is non empty V11() V55() ext-real positive non negative set
((p ^2) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\(((p ^2) -' 1) / 8)/] is V11() integer V55() ext-real set
(- 1) |^ (((p ^2) -' 1) div 8) is V11() integer V55() ext-real set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
idseq ((p -' 1) div 2) is V12() V15( NAT ) V16( RAT ) Function-like finite (p -' 1) div 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() set
Seg ((p -' 1) div 2) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
id (Seg ((p -' 1) div 2)) is V12() V15( Seg ((p -' 1) div 2)) V16( Seg ((p -' 1) div 2)) V16( RAT ) V16( INT ) Function-like one-to-one total finite V64() V65() V66() V67() V109() Element of bool [:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):]
[:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):] is non empty finite V42() set
2 * (idseq ((p -' 1) div 2)) is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() FinSequence of REAL
p div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 8 is V11() V55() ext-real non negative set
p * (8 ") is V11() V55() ext-real non negative set
[\(p / 8)/] is V11() integer V55() ext-real set
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
dom (2 * (idseq ((p -' 1) div 2))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(2 * (idseq ((p -' 1) div 2))) . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (idseq ((p -' 1) div 2)) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len (idseq ((p -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len (idseq ((p -' 1) div 2))) is finite len (idseq ((p -' 1) div 2)) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(idseq ((p -' 1) div 2)) . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((idseq ((p -' 1) div 2)) . f1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(2 * (idseq ((p -' 1) div 2))) . f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
f1 mod p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
rng (f1 mod p) is finite V74() V75() V76() Element of bool REAL
p / 2 is V11() V55() ext-real non negative set
p * (2 ") is V11() V55() ext-real non negative set
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in rng (f1 mod p) & not b₁ <= p / 2 ) } is set
card { b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in rng (f1 mod p) & not b₁ <= p / 2 ) } is V4() V5() V6() cardinal set
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom (idseq ((p -' 1) div 2)) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (idseq ((p -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (f1 mod p) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in dom (f1 mod p) & not (f1 mod p) . b₁ <= p / 2 ) } is set
g4 is set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . XX is V11() V55() ext-real set
p div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 4 is V11() V55() ext-real non negative set
4 " is non empty V11() V55() ext-real positive non negative set
p * (4 ") is V11() V55() ext-real non negative set
[\(p / 4)/] is V11() integer V55() ext-real set
((p -' 1) div 2) -' (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
seq ((p div 4),(((p -' 1) div 2) -' (p div 4))) is V74() V75() V76() V77() V78() V79() Element of bool NAT
1 + (p div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) -' (p div 4)) + (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( 1 + (p div 4) <= b₁ & b₁ <= (((p -' 1) div 2) -' (p div 4)) + (p div 4) ) } is set
p mod 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 - 1 is V11() integer V55() ext-real set
8 + (- 1) is V11() integer V55() ext-real set
2 * 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is set
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is finite set
card f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (f1 mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ f2 is V11() integer V55() ext-real set
(p -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) + 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) + 1) / 2 is V11() V55() ext-real non negative set
((p -' 1) + 1) * (2 ") is V11() V55() ext-real non negative set
[\(((p -' 1) + 1) / 2)/] is V11() integer V55() ext-real set
p div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
[\(p / 2)/] is V11() integer V55() ext-real set
2 * ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . g2 is V11() V55() ext-real set
2 * g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * g2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . g2) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . g2 is V11() V55() ext-real set
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . g2 is V11() V55() ext-real set
2 * g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg g2 is finite g2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg g2) \/ {0} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
card (seq ((p div 4),(((p -' 1) div 2) -' (p div 4)))) is V4() V5() V6() cardinal set
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . XX is V11() V55() ext-real set
2 * XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sgm (rng (f1 mod p)) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
g2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g4 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
n2 is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2 : H₁(b₁) in g2 } is set
mm is set
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . N is V11() V55() ext-real set
nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2
(f1 mod p) . f2 is V11() V55() ext-real set
mm is set
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . N is V11() V55() ext-real set
N is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2
N . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng N is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(f1 mod p) . YY is V11() V55() ext-real set
nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . nn is V11() V55() ext-real set
mm is set
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2
(f1 mod p) . YY is V11() V55() ext-real set
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2
(f1 mod p) . mm is V11() V55() ext-real set
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of n2
(f1 mod p) . YY is V11() V55() ext-real set
(p div 2) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 2) / 2 is V11() V55() ext-real non negative set
(p div 2) * (2 ") is V11() V55() ext-real non negative set
[\((p div 2) / 2)/] is V11() integer V55() ext-real set
2 * 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p div (2 * 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / (2 * 2) is V11() V55() ext-real non negative set
(2 * 2) " is V11() V55() ext-real non negative set
p * ((2 * 2) ") is V11() V55() ext-real non negative set
[\(p / (2 * 2))/] is V11() integer V55() ext-real set
XX is set
(p div 4) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 4) + mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) -' (p div 4)) + (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p / 4) is V11() V55() ext-real non negative set
(f1 mod p) . mm is V11() V55() ext-real set
XX is set
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . mm is V11() V55() ext-real set
2 * mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p / 2) / 2 is V11() V55() ext-real non negative set
(p / 2) * (2 ") is V11() V55() ext-real non negative set
(p div 4) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) -' (p div 4)) + (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - 2 is V11() integer V55() ext-real set
- 2 is V11() integer V55() ext-real non positive set
p + (- 2) is V11() integer V55() ext-real set
- (p - 2) is V11() integer V55() ext-real set
2 - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real non positive set
2 + (- p) is V11() integer V55() ext-real set
p - 4 is V11() integer V55() ext-real set
- 4 is V11() integer V55() ext-real non positive set
p + (- 4) is V11() integer V55() ext-real set
- (p - 4) is V11() integer V55() ext-real set
4 - p is V11() integer V55() ext-real set
4 + (- p) is V11() integer V55() ext-real set
p - 6 is V11() integer V55() ext-real set
- 6 is V11() integer V55() ext-real non positive set
p + (- 6) is V11() integer V55() ext-real set
- (p - 6) is V11() integer V55() ext-real set
6 - p is V11() integer V55() ext-real set
6 + (- p) is V11() integer V55() ext-real set
2 * 3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (4 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * (2 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (2 * (p div 8))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (2 * (p div 8))) + 1) div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (2 * (p div 8))) + 1) / 4 is V11() V55() ext-real non negative set
((4 * (2 * (p div 8))) + 1) * (4 ") is V11() V55() ext-real non negative set
[\(((4 * (2 * (p div 8))) + 1) / 4)/] is V11() integer V55() ext-real set
1 div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 / 4 is V11() V55() ext-real non negative set
1 * (4 ") is V11() V55() ext-real non negative set
[\(1 / 4)/] is V11() integer V55() ext-real set
(2 * (p div 8)) + (1 div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (p div 8)) + 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (p div 8)) - (2 * (p div 8)) is V11() integer V55() ext-real set
- (2 * (p div 8)) is V11() integer V55() ext-real non positive set
(4 * (p div 8)) + (- (2 * (p div 8))) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 8) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 8) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) * (8 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
2 * (8 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (p div 8)) ^2) + (2 * (8 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) / 8 is V11() V55() ext-real non negative set
(((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\((((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) / 8)/] is V11() integer V55() ext-real set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * ((p div 8) ^2)) + (2 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) / 8 is V11() V55() ext-real non negative set
(8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) * (8 ") is V11() V55() ext-real non negative set
[\((8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) / 8)/] is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((p div 8) ^2)) + (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * ((p div 8) ^2)) + (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * ((4 * ((p div 8) ^2)) + (p div 8))) is V11() integer V55() ext-real set
((- 1) |^ 2) |^ ((4 * ((p div 8) ^2)) + (p div 8)) is V11() integer V55() ext-real set
(1 |^ 2) |^ ((4 * ((p div 8) ^2)) + (p div 8)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ ((4 * ((p div 8) ^2)) + (p div 8)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (p div 8)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * (p div 8)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * (2 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (2 * (p div 8))) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (2 * (p div 8))) + 3) div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (2 * (p div 8))) + 3) / 4 is V11() V55() ext-real non negative set
((4 * (2 * (p div 8))) + 3) * (4 ") is V11() V55() ext-real non negative set
[\(((4 * (2 * (p div 8))) + 3) / 4)/] is V11() integer V55() ext-real set
3 div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 / 4 is V11() V55() ext-real non negative set
3 * (4 ") is V11() V55() ext-real non negative set
[\(3 / 4)/] is V11() integer V55() ext-real set
(2 * (p div 8)) + (3 div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (p div 8)) + 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (p div 8)) + 1) - (2 * (p div 8)) is V11() integer V55() ext-real set
- (2 * (p div 8)) is V11() integer V55() ext-real non positive set
((4 * (p div 8)) + 1) + (- (2 * (p div 8))) is V11() integer V55() ext-real set
(2 * (p div 8)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * (p div 8)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (p div 8))) * (- 1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 8) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (p div 8)) * (- 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 8) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (p div 8)) * (- 1) is V11() integer V55() ext-real non positive set
1 |^ (p div 8) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ (p div 8)) * (- 1) is V11() integer V55() ext-real non positive set
1 * (- 1) is V11() integer V55() ext-real non positive set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (8 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
6 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (6 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 * 3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1 is V11() integer V55() ext-real set
(((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) + (- 1) is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) div 8 is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) / 8 is V11() V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) * (8 ") is V11() V55() ext-real set
[\(((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) / 8)/] is V11() integer V55() ext-real set
(8 * ((p div 8) ^2)) + (6 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) / 8 is V11() V55() ext-real non negative set
(8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) * (8 ") is V11() V55() ext-real non negative set
[\((8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) / 8)/] is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((p div 8) ^2)) + (3 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) is V11() integer V55() ext-real set
((- 1) |^ (2 * ((4 * ((p div 8) ^2)) + (3 * (p div 8))))) * (- 1) is V11() integer V55() ext-real set
((- 1) |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) * (- 1) is V11() integer V55() ext-real set
(1 |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) * (- 1) is V11() integer V55() ext-real non positive set
1 |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) * (- 1) is V11() integer V55() ext-real non positive set
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 5 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (p div 8)) + 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * (p div 8)) + 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (p div 8)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * ((2 * (p div 8)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((2 * (p div 8)) + 1)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((2 * (p div 8)) + 1)) + 1) div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((2 * (p div 8)) + 1)) + 1) / 4 is V11() V55() ext-real non negative set
((4 * ((2 * (p div 8)) + 1)) + 1) * (4 ") is V11() V55() ext-real non negative set
[\(((4 * ((2 * (p div 8)) + 1)) + 1) / 4)/] is V11() integer V55() ext-real set
1 div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 / 4 is V11() V55() ext-real non negative set
1 * (4 ") is V11() V55() ext-real non negative set
[\(1 / 4)/] is V11() integer V55() ext-real set
((2 * (p div 8)) + 1) + (1 div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((2 * (p div 8)) + 1) + 0 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (p div 8)) + 2) - ((2 * (p div 8)) + 1) is V11() integer V55() ext-real set
- ((2 * (p div 8)) + 1) is V11() integer V55() ext-real non positive set
((4 * (p div 8)) + 2) + (- ((2 * (p div 8)) + 1)) is V11() integer V55() ext-real set
(- 1) |^ (2 * (p div 8)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (p div 8))) * (- 1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 8) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (p div 8)) * (- 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 8) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (p div 8)) * (- 1) is V11() integer V55() ext-real non positive set
1 |^ (p div 8) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ (p div 8)) * (- 1) is V11() integer V55() ext-real non positive set
1 * (- 1) is V11() integer V55() ext-real non positive set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (8 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
10 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
10 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (10 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
25 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1 is V11() integer V55() ext-real set
(((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) + (- 1) is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) div 8 is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) / 8 is V11() V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) * (8 ") is V11() V55() ext-real set
[\(((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) / 8)/] is V11() integer V55() ext-real set
(8 * ((p div 8) ^2)) + (10 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) / 8 is V11() V55() ext-real non negative set
(8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) * (8 ") is V11() V55() ext-real non negative set
[\((8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) / 8)/] is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (4 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
5 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (5 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8)))) + (2 * 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8)))) + (2 * 1)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ ((((2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8)))) + (2 * 1)) + 1) is V11() integer V55() ext-real set
(4 * ((p div 8) ^2)) + (5 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1))) * (- 1) is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) * (- 1) is V11() integer V55() ext-real set
(1 |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) * (- 1) is V11() integer V55() ext-real non positive set
1 |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) * (- 1) is V11() integer V55() ext-real non positive set
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 7 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (p div 8)) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * (p div 8)) + 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (p div 8)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
4 * ((2 * (p div 8)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((2 * (p div 8)) + 1)) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((2 * (p div 8)) + 1)) + 3) div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((2 * (p div 8)) + 1)) + 3) / 4 is V11() V55() ext-real non negative set
((4 * ((2 * (p div 8)) + 1)) + 3) * (4 ") is V11() V55() ext-real non negative set
[\(((4 * ((2 * (p div 8)) + 1)) + 3) / 4)/] is V11() integer V55() ext-real set
3 div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 / 4 is V11() V55() ext-real non negative set
3 * (4 ") is V11() V55() ext-real non negative set
[\(3 / 4)/] is V11() integer V55() ext-real set
((2 * (p div 8)) + 1) + (3 div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((2 * (p div 8)) + 1) + 0 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * (p div 8)) + 3) - ((2 * (p div 8)) + 1) is V11() integer V55() ext-real set
- ((2 * (p div 8)) + 1) is V11() integer V55() ext-real non positive set
((4 * (p div 8)) + 3) + (- ((2 * (p div 8)) + 1)) is V11() integer V55() ext-real set
(2 * (p div 8)) + 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((p div 8) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * ((p div 8) + 1)) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ ((p div 8) + 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ ((p div 8) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ ((p div 8) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (8 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
14 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
14 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (14 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
49 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1 is V11() integer V55() ext-real set
(((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) + (- 1) is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) div 8 is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) / 8 is V11() V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) * (8 ") is V11() V55() ext-real set
[\(((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) / 8)/] is V11() integer V55() ext-real set
(8 * ((p div 8) ^2)) + (14 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) / 8 is V11() V55() ext-real non negative set
(8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) * (8 ") is V11() V55() ext-real non negative set
[\((8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) / 8)/] is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
7 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((p div 8) ^2)) + (7 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3)) is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is V11() integer V55() ext-real set
(1 |^ 2) |^ (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 8 is V11() V55() ext-real non negative set
8 " is non empty V11() V55() ext-real positive non negative set
p * (8 ") is V11() V55() ext-real non negative set
[\(p / 8)/] is V11() integer V55() ext-real set
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) / 8 is V11() V55() ext-real non negative set
((p ^2) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\(((p ^2) -' 1) / 8)/] is V11() integer V55() ext-real set
(8 * (p div 8)) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) * (8 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
2 * (8 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (p div 8)) ^2) + (2 * (8 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) / 8 is V11() V55() ext-real non negative set
(((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\((((((8 * (p div 8)) ^2) + (2 * (8 * (p div 8)))) + 1) -' 1) / 8)/] is V11() integer V55() ext-real set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * ((p div 8) ^2)) + (2 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) / 8 is V11() V55() ext-real non negative set
(8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) * (8 ") is V11() V55() ext-real non negative set
[\((8 * ((8 * ((p div 8) ^2)) + (2 * (p div 8)))) / 8)/] is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((p div 8) ^2)) + (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * ((p div 8) ^2)) + (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2,p) is V11() integer V55() ext-real set
(- 1) |^ (2 * ((4 * ((p div 8) ^2)) + (p div 8))) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ ((4 * ((p div 8) ^2)) + (p div 8)) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ ((4 * ((p div 8) ^2)) + (p div 8)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ ((4 * ((p div 8) ^2)) + (p div 8)) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 7 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) / 8 is V11() V55() ext-real non negative set
((p ^2) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\(((p ^2) -' 1) / 8)/] is V11() integer V55() ext-real set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (8 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
14 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
14 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (14 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
49 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1 is V11() integer V55() ext-real set
(((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) + (- 1) is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) div 8 is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) / 8 is V11() V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) * (8 ") is V11() V55() ext-real set
[\(((((8 * (8 * ((p div 8) ^2))) + (8 * (14 * (p div 8)))) + 49) - 1) / 8)/] is V11() integer V55() ext-real set
(8 * ((p div 8) ^2)) + (14 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) / 8 is V11() V55() ext-real non negative set
(8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) * (8 ") is V11() V55() ext-real non negative set
[\((8 * (((8 * ((p div 8) ^2)) + (14 * (p div 8))) + 6)) / 8)/] is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
7 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((p div 8) ^2)) + (7 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2,p) is V11() integer V55() ext-real set
(- 1) |^ (2 * (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3)) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ (((4 * ((p div 8) ^2)) + (7 * (p div 8))) + 3) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 8 is V11() V55() ext-real non negative set
8 " is non empty V11() V55() ext-real positive non negative set
p * (8 ") is V11() V55() ext-real non negative set
[\(p / 8)/] is V11() integer V55() ext-real set
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) / 8 is V11() V55() ext-real non negative set
((p ^2) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\(((p ^2) -' 1) / 8)/] is V11() integer V55() ext-real set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (8 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
6 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (6 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 * 3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1 is V11() integer V55() ext-real set
(((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) + (- 1) is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) div 8 is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) / 8 is V11() V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) * (8 ") is V11() V55() ext-real set
[\(((((8 * (8 * ((p div 8) ^2))) + (8 * (6 * (p div 8)))) + (3 * 3)) - 1) / 8)/] is V11() integer V55() ext-real set
(8 * ((p div 8) ^2)) + (6 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) / 8 is V11() V55() ext-real non negative set
(8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) * (8 ") is V11() V55() ext-real non negative set
[\((8 * (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1)) / 8)/] is V11() integer V55() ext-real set
(2,p) is V11() integer V55() ext-real set
(- 1) |^ (((8 * ((p div 8) ^2)) + (6 * (p div 8))) + 1) is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * ((p div 8) ^2)) + (3 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) is V11() integer V55() ext-real set
((- 1) |^ (2 * ((4 * ((p div 8) ^2)) + (3 * (p div 8))))) * (- 1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) * (- 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) * (- 1) is V11() integer V55() ext-real non positive set
1 |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8))) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ ((4 * ((p div 8) ^2)) + (3 * (p div 8)))) * (- 1) is V11() integer V55() ext-real non positive set
1 * (- 1) is V11() integer V55() ext-real non positive set
2 mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (p div 8)) + 5 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p ^2) -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p ^2) -' 1) / 8 is V11() V55() ext-real non negative set
((p ^2) -' 1) * (8 ") is V11() V55() ext-real non negative set
[\(((p ^2) -' 1) / 8)/] is V11() integer V55() ext-real set
(p div 8) ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div 8) * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
8 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (8 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
10 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
10 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (10 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
25 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1 is V11() integer V55() ext-real set
(((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) + (- 1) is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) div 8 is V11() integer V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) / 8 is V11() V55() ext-real set
((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) * (8 ") is V11() V55() ext-real set
[\(((((8 * (8 * ((p div 8) ^2))) + (8 * (10 * (p div 8)))) + 25) - 1) / 8)/] is V11() integer V55() ext-real set
(8 * ((p div 8) ^2)) + (10 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) div 8 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) / 8 is V11() V55() ext-real non negative set
(8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) * (8 ") is V11() V55() ext-real non negative set
[\((8 * (((8 * ((p div 8) ^2)) + (10 * (p div 8))) + 3)) / 8)/] is V11() integer V55() ext-real set
(2,p) is V11() integer V55() ext-real set
4 * ((p div 8) ^2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (4 * ((p div 8) ^2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
5 * (p div 8) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (5 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8)))) + (2 * 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8)))) + (2 * 1)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ ((((2 * (4 * ((p div 8) ^2))) + (2 * (5 * (p div 8)))) + (2 * 1)) + 1) is V11() integer V55() ext-real set
(4 * ((p div 8) ^2)) + (5 * (p div 8)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (2 * (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1))) * (- 1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) * (- 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) * (- 1) is V11() integer V55() ext-real non positive set
1 |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ (((4 * ((p div 8) ^2)) + (5 * (p div 8))) + 1)) * (- 1) is V11() integer V55() ext-real non positive set
1 * (- 1) is V11() integer V55() ext-real non positive set
2 mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ p is V11() integer V55() ext-real set
(- 1) |^ q is V11() integer V55() ext-real set
p - q is V11() integer V55() ext-real set
- q is V11() integer V55() ext-real non positive set
p + (- q) is V11() integer V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
2 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q + (2 * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (q + (2 * q)) is V11() integer V55() ext-real set
(- 1) |^ (2 * q) is V11() integer V55() ext-real set
((- 1) |^ q) * ((- 1) |^ (2 * q)) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ q is V11() integer V55() ext-real set
((- 1) |^ q) * (((- 1) |^ 2) |^ q) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative Element of REAL
((- 1) |^ q) * ((1 |^ 2) |^ q) is V11() integer V55() ext-real set
1 |^ q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative Element of REAL
((- 1) |^ q) * (1 |^ q) is V11() integer V55() ext-real set
((- 1) |^ q) * 1 is V11() integer V55() ext-real set
q - p is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real non positive set
q + (- p) is V11() integer V55() ext-real set
- (p - q) is V11() integer V55() ext-real set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
2 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p + (2 * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (p + (2 * q)) is V11() integer V55() ext-real set
(- 1) |^ (2 * q) is V11() integer V55() ext-real set
((- 1) |^ p) * ((- 1) |^ (2 * q)) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ q is V11() integer V55() ext-real set
((- 1) |^ p) * (((- 1) |^ 2) |^ q) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative Element of REAL
((- 1) |^ p) * ((1 |^ 2) |^ q) is V11() integer V55() ext-real set
1 |^ q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative Element of REAL
((- 1) |^ p) * (1 |^ q) is V11() integer V55() ext-real set
((- 1) |^ p) * 1 is V11() integer V55() ext-real set
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p ^ p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q ^ q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
(p ^ p) - (q ^ q) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
p - q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
(p - q) ^ (p - q) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len (p - q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (p ^ p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len q) + (len q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (q ^ q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len ((p ^ p) - (q ^ q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (p - q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len ((p - q) ^ (p - q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len p) + (len p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((p ^ p) - (q ^ q)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((p - q) ^ (p - q)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((p - q) ^ (p - q)) . p9 is V11() V55() ext-real set
((p ^ p) - (q ^ q)) . p9 is V11() V55() ext-real set
dom (p - q) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(p - q) . p9 is V11() V55() ext-real set
p . p9 is V11() V55() ext-real set
q . p9 is V11() V55() ext-real set
(p . p9) - (q . p9) is V11() V55() ext-real set
- (q . p9) is V11() V55() ext-real set
(p . p9) + (- (q . p9)) is V11() V55() ext-real set
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(p ^ p) . p9 is V11() V55() ext-real set
(q ^ q) . p9 is V11() V55() ext-real set
((p ^ p) . p9) - ((q ^ q) . p9) is V11() V55() ext-real set
- ((q ^ q) . p9) is V11() V55() ext-real set
((p ^ p) . p9) + (- ((q ^ q) . p9)) is V11() V55() ext-real set
(p . p9) - ((q ^ q) . p9) is V11() V55() ext-real set
(p . p9) + (- ((q ^ q) . p9)) is V11() V55() ext-real set
dom (p - q) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(len (p - q)) + f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(len (p - q)) + f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(p ^ p) . p9 is V11() V55() ext-real set
p . f1 is V11() V55() ext-real set
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(q ^ q) . p9 is V11() V55() ext-real set
q . f1 is V11() V55() ext-real set
(p - q) . f1 is V11() V55() ext-real set
(p . f1) - (q . f1) is V11() V55() ext-real set
- (q . f1) is V11() V55() ext-real set
(p . f1) + (- (q . f1)) is V11() V55() ext-real set
dom (p - q) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom (p - q) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum q is V11() V55() ext-real Element of REAL
p is V11() V55() ext-real Element of REAL
(p + 1) |-> p is V12() V15( NAT ) V16( REAL ) Function-like finite p + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of (p + 1) -tuples_on REAL
(p + 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 V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = p + 1 } is set
Seg (p + 1) is non empty finite p + 1 -element p + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Seg (p + 1)) --> p is V12() V15( Seg (p + 1)) V16({p}) Function-like V26( Seg (p + 1),{p}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of bool [:(Seg (p + 1)),{p}:]
{p} is non empty trivial finite 1 -element V74() V75() V76() set
[:(Seg (p + 1)),{p}:] is non empty V12() finite V64() V65() V66() set
bool [:(Seg (p + 1)),{p}:] is non empty finite V42() set
((p + 1) |-> p) - q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
Sum (((p + 1) |-> p) - q) is V11() V55() ext-real Element of REAL
(p + 1) * p is V11() V55() ext-real set
((p + 1) * p) - (Sum q) is V11() V55() ext-real set
- (Sum q) is V11() V55() ext-real set
((p + 1) * p) + (- (Sum q)) is V11() V55() ext-real set
<*p*> is non empty trivial V12() V15( NAT ) V16( REAL ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of REAL
len <*p*> is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
p9 is V11() V55() ext-real Element of REAL
<*p9*> is non empty trivial V12() V15( NAT ) V16( REAL ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() FinSequence of REAL
q ^ <*p9*> is non empty V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len q) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p |-> p is V12() V15( NAT ) V16( REAL ) Function-like finite p -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of p -tuples_on REAL
p -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b₁ where b₁ is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = p } is set
Seg p is finite p -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg p) --> p is V12() V15( Seg p) V16({p}) Function-like V26( Seg p,{p}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of bool [:(Seg p),{p}:]
[:(Seg p),{p}:] is V12() finite V64() V65() V66() set
bool [:(Seg p),{p}:] is non empty finite V42() set
len (p |-> p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len <*p9*> is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p |-> p) ^ <*p*> is non empty V12() V15( NAT ) V16( REAL ) Function-like finite p + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
((p |-> p) ^ <*p*>) - (q ^ <*p9*>) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
(p |-> p) - q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
<*p*> - <*p9*> is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
((p |-> p) - q) ^ (<*p*> - <*p9*>) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
p - p9 is V11() V55() ext-real set
- p9 is V11() V55() ext-real set
p + (- p9) is V11() V55() ext-real set
<*(p - p9)*> is non empty trivial V12() V15( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V68() V69() V70() V71() V109() set
((p |-> p) - q) ^ <*(p - p9)*> is non empty V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
Sum ((p |-> p) - q) is V11() V55() ext-real Element of REAL
(Sum ((p |-> p) - q)) + (p - p9) is V11() V55() ext-real set
p * p is V11() V55() ext-real set
Sum q is V11() V55() ext-real Element of REAL
(p * p) - (Sum q) is V11() V55() ext-real set
- (Sum q) is V11() V55() ext-real set
(p * p) + (- (Sum q)) is V11() V55() ext-real set
((p * p) - (Sum q)) + (p - p9) is V11() V55() ext-real set
(Sum q) + p9 is V11() V55() ext-real set
((p + 1) * p) - ((Sum q) + p9) is V11() V55() ext-real set
- ((Sum q) + p9) is V11() V55() ext-real set
((p + 1) * p) + (- ((Sum q) + p9)) is V11() V55() ext-real set
q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V11() V55() ext-real Element of REAL
(p + 1) |-> p is V12() V15( NAT ) V16( REAL ) Function-like finite p + 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of (p + 1) -tuples_on REAL
(p + 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 V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = p + 1 } is set
Seg (p + 1) is non empty finite p + 1 -element p + 1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Seg (p + 1)) --> p is V12() V15( Seg (p + 1)) V16({p}) Function-like V26( Seg (p + 1),{p}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of bool [:(Seg (p + 1)),{p}:]
{p} is non empty trivial finite 1 -element V74() V75() V76() set
[:(Seg (p + 1)),{p}:] is non empty V12() finite V64() V65() V66() set
bool [:(Seg (p + 1)),{p}:] is non empty finite V42() set
((p + 1) |-> p) - q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
Sum (((p + 1) |-> p) - q) is V11() V55() ext-real Element of REAL
(p + 1) * p is V11() V55() ext-real set
Sum q is V11() V55() ext-real Element of REAL
((p + 1) * p) - (Sum q) is V11() V55() ext-real set
- (Sum q) is V11() V55() ext-real set
((p + 1) * p) + (- (Sum q)) is V11() V55() ext-real set
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum p is V11() V55() ext-real Element of REAL
q is V11() V55() ext-real Element of REAL
0 |-> q is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( REAL ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() 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 V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = 0 } is set
Seg 0 is empty proper V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of bool NAT
(Seg 0) --> q is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( Seg 0) V16({q}) Function-like one-to-one constant functional V26( Seg 0,{q}) integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() V108() V109() Element of bool [:(Seg 0),{q}:]
{q} is non empty trivial finite 1 -element V74() V75() V76() set
[:(Seg 0),{q}:] is V12() finite V64() V65() V66() set
bool [:(Seg 0),{q}:] is non empty finite V42() set
(0 |-> q) - p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
Sum ((0 |-> q) - p) is V11() V55() ext-real Element of REAL
0 * q is V11() V55() ext-real set
(0 * q) - (Sum p) is V11() V55() ext-real set
- (Sum p) is V11() V55() ext-real set
(0 * q) + (- (Sum p)) is V11() V55() ext-real set
p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V11() V55() ext-real Element of REAL
(len p) |-> q is V12() V15( NAT ) V16( REAL ) Function-like finite len p -element FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of (len p) -tuples_on REAL
(len p) -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 V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = len p } is set
Seg (len p) is finite len p -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len p)) --> q is V12() V15( Seg (len p)) V16({q}) Function-like V26( Seg (len p),{q}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() Element of bool [:(Seg (len p)),{q}:]
{q} is non empty trivial finite 1 -element V74() V75() V76() set
[:(Seg (len p)),{q}:] is V12() finite V64() V65() V66() set
bool [:(Seg (len p)),{q}:] is non empty finite V42() set
((len p) |-> q) - p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
Sum (((len p) |-> q) - p) is V11() V55() ext-real Element of REAL
(len p) * q is V11() V55() ext-real set
Sum p is V11() V55() ext-real Element of REAL
((len p) * q) - (Sum p) is V11() V55() ext-real set
- (Sum p) is V11() V55() ext-real set
((len p) * q) + (- (Sum p)) is V11() V55() ext-real set
p is finite set
bool p is non empty finite V42() set
q is V12() V15( NAT ) V16( bool p) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool p
Card q is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like Cardinal-yielding V109() set
rng (Card q) is finite set
p is set
dom (Card q) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q is set
(Card q) . q is set
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q . q is set
rng q is finite V42() Element of bool (bool p)
bool (bool p) is non empty finite V42() set
p9 is finite set
card p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
q is finite set
bool q is non empty finite V42() set
p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( bool q) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool q
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng q is finite V42() Element of bool (bool q)
bool (bool q) is non empty finite V42() set
union (rng q) is finite set
card (union (rng q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q,q) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum (q,q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p9 is V12() V15( NAT ) V16( bool q) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool q
f1 is finite Element of bool q
<*f1*> is non empty trivial V12() V15( NAT ) V16( bool q) Function-like constant finite 1 -element FinSequence-like FinSubsequence-like V109() FinSequence of bool q
p9 ^ <*f1*> is non empty V12() V15( NAT ) V16( bool q) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool q
rng p9 is finite V42() Element of bool (bool q)
union (rng p9) is finite set
rng <*f1*> is non empty trivial finite V42() 1 -element Element of bool (bool q)
(rng p9) \/ (rng <*f1*>) is non empty finite V42() Element of bool (bool q)
union ((rng p9) \/ (rng <*f1*>)) is finite set
{f1} is non empty trivial finite V42() 1 -element Element of bool (bool q)
(rng p9) \/ {f1} is non empty finite V42() Element of bool (bool q)
union ((rng p9) \/ {f1}) is finite set
q9 is finite set
union {f1} is finite set
q9 \/ (union {f1}) is finite set
q9 \/ f1 is finite set
len p9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len p9) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 /\ f1 is finite Element of bool q
g1 is set
g1 is set
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p9 . g3 is set
q . (p + 1) is set
q . g3 is set
f1 \/ g1 is set
card q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(card q9) + (card f1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (q9 \/ f1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
<*(card f1)*> is non empty trivial V12() V15( NAT ) V16( NAT ) Function-like one-to-one constant finite 1 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V68() V69() V70() V71() Cardinal-yielding V109() FinSequence of NAT
(q,p9) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(q,<*f1*>) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(q,p9) ^ (q,<*f1*>) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
g1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(q,p9) ^ g1 is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
dom p9 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p9 . g1 is set
g3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p9 . g3 is set
q . g3 is set
q . g1 is set
card (union (rng p9)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (q,p9) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is V12() V15( NAT ) V16( bool q) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool q
len q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom q is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng q is finite V42() Element of bool (bool q)
bool (bool q) is non empty finite V42() set
union (rng q) is finite set
card (union (rng q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q,q) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum (q,q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( bool q) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool q
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng p is finite V42() Element of bool (bool q)
bool (bool q) is non empty finite V42() set
union (rng p) is finite set
card (union (rng p)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q,p) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum (q,p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Card 0 is empty V4() V5() V6() V8() V9() V10() V11() V12() non-empty empty-yielding V15( NAT ) V16( RAT ) Function-like one-to-one constant functional integer finite finite-yielding V42() cardinal 0 -element FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V55() ext-real non positive non negative V64() V65() V66() V67() V74() V75() V76() V77() V78() V79() V80() Cardinal-yielding V108() V109() set
p is V12() V15( NAT ) V16( bool q) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool q
len p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom p is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng p is finite V42() Element of bool (bool q)
bool (bool q) is non empty finite V42() set
union (rng p) is finite set
card (union (rng p)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q,p) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum (q,p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
(p,q) is V11() integer V55() ext-real set
(q,p) is V11() integer V55() ext-real set
(p,q) * (q,p) is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
((p -' 1) div 2) * ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (((p -' 1) div 2) * ((q -' 1) div 2)) is V11() integer V55() ext-real set
q gcd p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() prime Element of NAT
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
2 * ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
idseq ((p -' 1) div 2) is V12() V15( NAT ) V16( RAT ) Function-like finite (p -' 1) div 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() set
Seg ((p -' 1) div 2) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
id (Seg ((p -' 1) div 2)) is V12() V15( Seg ((p -' 1) div 2)) V16( Seg ((p -' 1) div 2)) V16( RAT ) V16( INT ) Function-like one-to-one total finite V64() V65() V66() V67() V109() Element of bool [:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):]
[:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg ((p -' 1) div 2)),(Seg ((p -' 1) div 2)):] is non empty finite V42() set
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() prime Element of NAT
q * (idseq ((p -' 1) div 2)) is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() FinSequence of REAL
dom (q * (idseq ((p -' 1) div 2))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q * (idseq ((p -' 1) div 2))) . q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (idseq ((p -' 1) div 2)) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len (idseq ((p -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len (idseq ((p -' 1) div 2))) is finite len (idseq ((p -' 1) div 2)) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(idseq ((p -' 1) div 2)) . q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * ((idseq ((p -' 1) div 2)) . q9) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(q * (idseq ((p -' 1) div 2))) . q9 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (idseq ((p -' 1) div 2)) is finite (p -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len (q * (idseq ((p -' 1) div 2))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (idseq ((p -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
idseq ((q -' 1) div 2) is V12() V15( NAT ) V16( RAT ) Function-like finite (q -' 1) div 2 -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() set
Seg ((q -' 1) div 2) is finite (q -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
id (Seg ((q -' 1) div 2)) is V12() V15( Seg ((q -' 1) div 2)) V16( Seg ((q -' 1) div 2)) V16( RAT ) V16( INT ) Function-like one-to-one total finite V64() V65() V66() V67() V109() Element of bool [:(Seg ((q -' 1) div 2)),(Seg ((q -' 1) div 2)):]
[:(Seg ((q -' 1) div 2)),(Seg ((q -' 1) div 2)):] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg ((q -' 1) div 2)),(Seg ((q -' 1) div 2)):] is non empty finite V42() set
p * (idseq ((q -' 1) div 2)) is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() FinSequence of REAL
dom (p * (idseq ((q -' 1) div 2))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p * (idseq ((q -' 1) div 2))) . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (idseq ((q -' 1) div 2)) is finite (q -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len (idseq ((q -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len (idseq ((q -' 1) div 2))) is finite len (idseq ((q -' 1) div 2)) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(idseq ((q -' 1) div 2)) . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * ((idseq ((q -' 1) div 2)) . g1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(p * (idseq ((q -' 1) div 2))) . g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom (idseq ((q -' 1) div 2)) is finite (q -' 1) div 2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
len (p * (idseq ((q -' 1) div 2))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (idseq ((q -' 1) div 2)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
g1 mod q is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
rng (g1 mod q) is finite V74() V75() V76() Element of bool REAL
Sgm (rng (g1 mod q)) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
len (g1 mod q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom (g1 mod q) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng (Sgm (rng (g1 mod q))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q / 2 is V11() V55() ext-real non negative set
q * (2 ") is V11() V55() ext-real non negative set
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in rng (Sgm (rng (g1 mod q))) & not b₁ <= q / 2 ) } is set
f1 is set
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
f2 is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
q - 1 is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
2 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
3 - 1 is V11() integer V55() ext-real set
3 + (- 1) is V11() integer V55() ext-real set
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg n2 is finite n2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg n2) \/ {0} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g2 is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() set
len g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom g2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g2 . g2 is set
g1 . g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . g2) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . g2) / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
(g1 . g2) * (q ") is V11() V55() ext-real non negative set
[\((g1 . g2) / q)/] is V11() integer V55() ext-real set
g2 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom g2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g1 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g2 . XX) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 mod q) . XX is V11() V55() ext-real set
((g2 . XX) * q) + ((g1 mod q) . XX) is V11() V55() ext-real set
(g1 . XX) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . XX) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . XX) / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
(g1 . XX) * (q ") is V11() V55() ext-real non negative set
[\((g1 . XX) / q)/] is V11() integer V55() ext-real set
2 * ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(g1 mod q) . XX is V11() V55() ext-real set
g1 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g2 . XX) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((g2 . XX) * q) + 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g1 . XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g1 . mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . XX) - (g1 . mm) is V11() integer V55() ext-real set
- (g1 . mm) is V11() integer V55() ext-real non positive set
(g1 . XX) + (- (g1 . mm)) is V11() integer V55() ext-real set
p * mm is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX - mm is V11() integer V55() ext-real set
- mm is V11() integer V55() ext-real non positive set
XX + (- mm) is V11() integer V55() ext-real set
(XX - mm) * p is V11() integer V55() ext-real set
abs q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
abs (XX - mm) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 - ((q -' 1) div 2) is V11() integer V55() ext-real set
- ((q -' 1) div 2) is V11() integer V55() ext-real non positive set
1 + (- ((q -' 1) div 2)) is V11() integer V55() ext-real set
((q -' 1) div 2) - 1 is V11() integer V55() ext-real set
((q -' 1) div 2) + (- 1) is V11() integer V55() ext-real set
- (((q -' 1) div 2) - 1) is V11() integer V55() ext-real set
- q is V11() integer V55() ext-real non positive set
XX is set
mm is set
(g1 mod q) . XX is V11() V55() ext-real set
(g1 mod q) . mm is V11() V55() ext-real set
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g2 . N) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 mod q) . N is V11() V55() ext-real set
((g2 . N) * q) + ((g1 mod q) . N) is V11() V55() ext-real set
YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 . YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g2 . YY) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 mod q) . YY is V11() V55() ext-real set
((g2 . YY) * q) + ((g1 mod q) . YY) is V11() V55() ext-real set
(g1 . YY) - (g1 . N) is V11() integer V55() ext-real set
- (g1 . N) is V11() integer V55() ext-real non positive set
(g1 . YY) + (- (g1 . N)) is V11() integer V55() ext-real set
(g2 . YY) - (g2 . N) is V11() integer V55() ext-real set
- (g2 . N) is V11() integer V55() ext-real non positive set
(g2 . YY) + (- (g2 . N)) is V11() integer V55() ext-real set
((g2 . YY) - (g2 . N)) * q is V11() integer V55() ext-real set
card (rng (g1 mod q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Sgm (rng (g1 mod q))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
card XX is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(rng (Sgm (rng (g1 mod q)))) \ XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
NAT * is non empty functional FinSequence-membered set
((q -' 1) div 2) -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 V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of NAT * : len b₁ = (q -' 1) div 2 } is set
((q -' 1) div 2) -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 V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = (q -' 1) div 2 } is set
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(idseq ((q -' 1) div 2)) . N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (idseq ((q -' 1) div 2)) is V11() V55() ext-real set
q * g2 is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() M26( REAL , NAT )
dom (q * g2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len (q * g2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * g2) + (g1 mod q) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
dom ((q * g2) + (g1 mod q)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom (q * g2)) /\ (dom (g1 mod q)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom g2) /\ (dom (g1 mod q)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
g1 . nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q * g2) + (g1 mod q)) . nn is V11() V55() ext-real set
(q * g2) . nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 mod q) . nn is V11() V55() ext-real set
((q * g2) . nn) + ((g1 mod q) . nn) is V11() V55() ext-real set
g2 . nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * (g2 . nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * (g2 . nn)) + ((g1 mod q) . nn) is V11() V55() ext-real set
Sum g1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (q * g2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (g1 mod q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum (q * g2)) + (Sum (g1 mod q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * (Sum g2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * (Sum g2)) + (Sum (g1 mod q)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (rng (Sgm (rng (g1 mod q)))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) div 2) - (card XX) is V11() integer V55() ext-real set
- (card XX) is V11() integer V55() ext-real non positive set
((q -' 1) div 2) + (- (card XX)) is V11() integer V55() ext-real set
nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sgm (rng (g1 mod q))) | nn is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(Sgm (rng (g1 mod q))) /^ nn is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
((Sgm (rng (g1 mod q))) | nn) ^ ((Sgm (rng (g1 mod q))) /^ nn) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
(q -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) + 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) + 1) / 2 is V11() V55() ext-real non negative set
((q -' 1) + 1) * (2 ") is V11() V55() ext-real non negative set
[\(((q -' 1) + 1) / 2)/] is V11() integer V55() ext-real set
q div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
[\(q / 2)/] is V11() integer V55() ext-real set
Sum (Sgm (rng (g1 mod q))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f3 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
YY \/ XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sgm (YY \/ XX) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sgm YY is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sgm XX is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(Sgm YY) ^ (Sgm XX) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
(rng (Sgm (rng (g1 mod q)))) \/ XX is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sgm ((rng (Sgm (rng (g1 mod q)))) \/ XX) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum (Sgm YY) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (Sgm XX) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum (Sgm YY)) + (Sum (Sgm XX)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * (Sum (idseq ((q -' 1) div 2))) is V11() V55() ext-real set
(q * (Sum g2)) + (Sum (Sgm YY)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q * (Sum g2)) + (Sum (Sgm YY))) + (Sum (Sgm XX)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Sgm YY) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card YY is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f2 . f2 is set
f1 . f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . f2) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . f2) / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
(f1 . f2) * (p ") is V11() V55() ext-real non negative set
[\((f1 . f2) / p)/] is V11() integer V55() ext-real set
f1 mod p is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
len (f1 mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f1 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom (f1 mod p) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng (f1 mod p) is finite V74() V75() V76() Element of bool REAL
Sgm (rng (f1 mod p)) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg n1 is finite n1 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg n1) \/ {0} is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f2 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom f2 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 . M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f2 . M) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . M is V11() V55() ext-real set
((f2 . M) * p) + ((f1 mod p) . M) is V11() V55() ext-real set
(f1 . M) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . M) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . M) / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
(f1 . M) * (p ") is V11() V55() ext-real non negative set
[\((f1 . M) / p)/] is V11() integer V55() ext-real set
M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . M is V11() V55() ext-real set
f1 . M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 . M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f2 . M) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((f2 . M) * p) + 0 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . M) - (f1 . X) is V11() integer V55() ext-real set
- (f1 . X) is V11() integer V55() ext-real non positive set
(f1 . M) + (- (f1 . X)) is V11() integer V55() ext-real set
q * X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
M - X is V11() integer V55() ext-real set
- X is V11() integer V55() ext-real non positive set
M + (- X) is V11() integer V55() ext-real set
(M - X) * q is V11() integer V55() ext-real set
abs p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
abs (M - X) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 - ((p -' 1) div 2) is V11() integer V55() ext-real set
- ((p -' 1) div 2) is V11() integer V55() ext-real non positive set
1 + (- ((p -' 1) div 2)) is V11() integer V55() ext-real set
((p -' 1) div 2) - 1 is V11() integer V55() ext-real set
((p -' 1) div 2) + (- 1) is V11() integer V55() ext-real set
- (((p -' 1) div 2) - 1) is V11() integer V55() ext-real set
- p is V11() integer V55() ext-real non positive set
M is set
X is set
(f1 mod p) . M is V11() V55() ext-real set
(f1 mod p) . X is V11() V55() ext-real set
m is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . m is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 . m is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f2 . m) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . m is V11() V55() ext-real set
((f2 . m) * p) + ((f1 mod p) . m) is V11() V55() ext-real set
X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f2 . X) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . X is V11() V55() ext-real set
((f2 . X) * p) + ((f1 mod p) . X) is V11() V55() ext-real set
(f1 . X) - (f1 . m) is V11() integer V55() ext-real set
- (f1 . m) is V11() integer V55() ext-real non positive set
(f1 . X) + (- (f1 . m)) is V11() integer V55() ext-real set
(f2 . X) - (f2 . m) is V11() integer V55() ext-real set
- (f2 . m) is V11() integer V55() ext-real non positive set
(f2 . X) + (- (f2 . m)) is V11() integer V55() ext-real set
((f2 . X) - (f2 . m)) * p is V11() integer V55() ext-real set
card (rng (f1 mod p)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Sgm (rng (f1 mod p))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p,q) is V11() integer V55() ext-real set
(- 1) |^ (Sum g2) is V11() integer V55() ext-real set
(card XX) |-> q is V12() V15( NAT ) V16( NAT ) Function-like finite card XX -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() Element of (card XX) -tuples_on NAT
(card XX) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b₁ where b₁ is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of NAT * : len b₁ = card XX } is set
Seg (card XX) is finite card XX -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (card XX)) --> q is V12() V15( Seg (card XX)) V16( RAT ) V16( INT ) V16({q}) Function-like V26( Seg (card XX),{q}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() Element of bool [:(Seg (card XX)),{q}:]
{q} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
[:(Seg (card XX)),{q}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg (card XX)),{q}:] is non empty finite V42() set
((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
((Sgm (rng (g1 mod q))) | nn) ^ (((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
rng (idseq ((q -' 1) div 2)) is finite V74() V75() V76() V77() V78() V79() Element of bool RAT
bool RAT is non empty non trivial non finite set
len ((Sgm (rng (g1 mod q))) | nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len ((Sgm (rng (g1 mod q))) /^ nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len (Sgm (rng (g1 mod q)))) -' nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len (Sgm (rng (g1 mod q)))) - nn is V11() integer V55() ext-real set
- nn is V11() integer V55() ext-real non positive set
(len (Sgm (rng (g1 mod q)))) + (- nn) is V11() integer V55() ext-real set
dom (((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((card XX) |-> q) is finite card XX -element V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((Sgm (rng (g1 mod q))) /^ nn) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom ((card XX) |-> q)) /\ (dom ((Sgm (rng (g1 mod q))) /^ nn)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len ((card XX) |-> q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len ((card XX) |-> q)) is finite len ((card XX) |-> q) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((card XX) |-> q))) /\ (dom ((Sgm (rng (g1 mod q))) /^ nn)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Seg (len ((Sgm (rng (g1 mod q))) /^ nn)) is finite len ((Sgm (rng (g1 mod q))) /^ nn) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((Sgm (rng (g1 mod q))) /^ nn))) /\ (dom ((Sgm (rng (g1 mod q))) /^ nn)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom ((Sgm (rng (g1 mod q))) /^ nn)) /\ (dom ((Sgm (rng (g1 mod q))) /^ nn)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len (((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) . X is V11() V55() ext-real set
((Sgm (rng (g1 mod q))) /^ nn) . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - (((Sgm (rng (g1 mod q))) /^ nn) . X) is V11() integer V55() ext-real set
- (((Sgm (rng (g1 mod q))) /^ nn) . X) is V11() integer V55() ext-real non positive set
q + (- (((Sgm (rng (g1 mod q))) /^ nn) . X)) is V11() integer V55() ext-real set
((card XX) |-> q) . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) . X is V11() V55() ext-real set
(Sgm XX) . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Sgm XX) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (g1 mod q))) /^ nn) . X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(g1 mod q) . Y is V11() V55() ext-real set
g1 . Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . Y) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - (((Sgm (rng (g1 mod q))) /^ nn) . X) is V11() integer V55() ext-real set
- (((Sgm (rng (g1 mod q))) /^ nn) . X) is V11() integer V55() ext-real non positive set
q + (- (((Sgm (rng (g1 mod q))) /^ nn) . X)) is V11() integer V55() ext-real set
q - (q / 2) is V11() V55() ext-real set
- (q / 2) is V11() V55() ext-real non positive set
q + (- (q / 2)) is V11() V55() ext-real set
m is V11() integer V55() ext-real V59() Element of INT
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) is finite V74() V75() V76() Element of bool REAL
X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((card XX) |-> q) - ((Sgm (rng (g1 mod q))) /^ nn)) . X is V11() V55() ext-real set
X is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
m is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
rng ((Sgm (rng (g1 mod q))) | nn) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Y is set
dom X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
X . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sgm (rng (g1 mod q))) /^ nn) . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - (((Sgm (rng (g1 mod q))) /^ nn) . n) is V11() integer V55() ext-real set
- (((Sgm (rng (g1 mod q))) /^ nn) . n) is V11() integer V55() ext-real non positive set
q + (- (((Sgm (rng (g1 mod q))) /^ nn) . n)) is V11() integer V55() ext-real set
n + nn is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sgm (rng (g1 mod q))) . (n + nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - ((Sgm (rng (g1 mod q))) . (n + nn)) is V11() integer V55() ext-real set
- ((Sgm (rng (g1 mod q))) . (n + nn)) is V11() integer V55() ext-real non positive set
q + (- ((Sgm (rng (g1 mod q))) . (n + nn))) is V11() integer V55() ext-real set
dom (Sgm (rng (g1 mod q))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(g1 mod q) . f5 is V11() V55() ext-real set
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(g1 mod q) . f6 is V11() V55() ext-real set
f6 + f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((q -' 1) div 2) + ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f5) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f6) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((g1 . f6) mod q) + ((g1 . f5) mod q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((g1 . f6) mod q) + ((g1 . f5) mod q)) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f6) + (g1 . f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((g1 . f6) + (g1 . f5)) mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f6 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f6 * p) + (g1 . f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f6 * p) + (f5 * p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f6 + f5) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X . Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (g1 mod q))) /^ nn) . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - (((Sgm (rng (g1 mod q))) /^ nn) . n) is V11() integer V55() ext-real set
- (((Sgm (rng (g1 mod q))) /^ nn) . n) is V11() integer V55() ext-real non positive set
q + (- (((Sgm (rng (g1 mod q))) /^ nn) . n)) is V11() integer V55() ext-real set
((Sgm (rng (g1 mod q))) /^ nn) . Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - (((Sgm (rng (g1 mod q))) /^ nn) . Y) is V11() integer V55() ext-real set
- (((Sgm (rng (g1 mod q))) /^ nn) . Y) is V11() integer V55() ext-real non positive set
q + (- (((Sgm (rng (g1 mod q))) /^ nn) . Y)) is V11() integer V55() ext-real set
card (rng X) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom m is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
m . Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((Sgm (rng (g1 mod q))) | nn) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (g1 mod q))) | nn) . Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Sgm YY) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(len ((Sgm (rng (g1 mod q))) | nn)) + n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len ((Sgm (rng (g1 mod q))) | nn)) + n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((Sgm (rng (g1 mod q))) | nn) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len m is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len ((Sgm (rng (g1 mod q))) | nn)) + (len X) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng m is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum m is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum ((Sgm (rng (g1 mod q))) | nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum ((Sgm (rng (g1 mod q))) | nn)) + (Sum X) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(card XX) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum ((Sgm (rng (g1 mod q))) /^ nn) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((card XX) * q) - (Sum ((Sgm (rng (g1 mod q))) /^ nn)) is V11() integer V55() ext-real set
- (Sum ((Sgm (rng (g1 mod q))) /^ nn)) is V11() integer V55() ext-real non positive set
((card XX) * q) + (- (Sum ((Sgm (rng (g1 mod q))) /^ nn))) is V11() integer V55() ext-real set
(Sum ((Sgm (rng (g1 mod q))) | nn)) + (((card XX) * q) - (Sum ((Sgm (rng (g1 mod q))) /^ nn))) is V11() integer V55() ext-real set
(Sum ((Sgm (rng (g1 mod q))) | nn)) + ((card XX) * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sum ((Sgm (rng (g1 mod q))) | nn)) + ((card XX) * q)) - (Sum ((Sgm (rng (g1 mod q))) /^ nn)) is V11() integer V55() ext-real set
((Sum ((Sgm (rng (g1 mod q))) | nn)) + ((card XX) * q)) + (- (Sum ((Sgm (rng (g1 mod q))) /^ nn))) is V11() integer V55() ext-real set
(p - 1) * N is V11() integer V55() ext-real set
2 * (Sum (Sgm XX)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * (Sum g2)) + (2 * (Sum (Sgm XX))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q * (Sum g2)) + (2 * (Sum (Sgm XX)))) - ((card XX) * q) is V11() integer V55() ext-real set
- ((card XX) * q) is V11() integer V55() ext-real non positive set
((q * (Sum g2)) + (2 * (Sum (Sgm XX)))) + (- ((card XX) * q)) is V11() integer V55() ext-real set
(p -' 1) * N is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) * N) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * (Sum g2)) - ((card XX) * q) is V11() integer V55() ext-real set
(q * (Sum g2)) + (- ((card XX) * q)) is V11() integer V55() ext-real set
((q * (Sum g2)) - ((card XX) * q)) + (2 * (Sum (Sgm XX))) is V11() integer V55() ext-real set
(((q * (Sum g2)) - ((card XX) * q)) + (2 * (Sum (Sgm XX)))) mod 2 is V11() integer V55() ext-real set
((q * (Sum g2)) - ((card XX) * q)) mod 2 is V11() integer V55() ext-real set
(Sum g2) - (card XX) is V11() integer V55() ext-real set
(Sum g2) + (- (card XX)) is V11() integer V55() ext-real set
q * ((Sum g2) - (card XX)) is V11() integer V55() ext-real set
(q * ((Sum g2) - (card XX))) mod 2 is V11() integer V55() ext-real set
(Sum g2) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(card XX) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (card XX) is V11() integer V55() ext-real set
M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(idseq ((p -' 1) div 2)) . M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (idseq ((p -' 1) div 2)) is V11() V55() ext-real set
rng (Sgm (rng (f1 mod p))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
p / 2 is V11() V55() ext-real non negative set
p * (2 ") is V11() V55() ext-real non negative set
{ b₁ where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT : ( b₁ in rng (Sgm (rng (f1 mod p))) & not b₁ <= p / 2 ) } is set
X is set
m is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum f2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum f2) + (Sum g2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) div 2) * ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
X is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
m is non empty finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
Y / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
Y * (p ") is V11() V55() ext-real non negative set
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
n / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
n * (q ") is V11() V55() ext-real non negative set
(Y / p) - (n / q) is V11() V55() ext-real set
- (n / q) is V11() V55() ext-real non positive set
(Y / p) + (- (n / q)) is V11() V55() ext-real set
[:X,m:] is non empty V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
[:[:X,m:],REAL:] is non empty non trivial V12() non finite V64() V65() V66() set
bool [:[:X,m:],REAL:] is non empty non trivial non finite set
Y is V12() V15([:X,m:]) V16( REAL ) Function-like V26([:X,m:], REAL ) finite V64() V65() V66() V109() Element of bool [:[:X,m:],REAL:]
dom Y is V12() V15(X) V16(m) finite V64() V65() V66() V67() Element of bool [:X,m:]
bool [:X,m:] is non empty finite V42() set
bool (dom Y) is non empty finite V42() set
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
{ [f5,b₁] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m : not Y . (f5,b₁) <= 0 } is set
f6 is set
f5 is set
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
[f5,f6] is Element of [:X,m:]
{f5,f6} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{f5} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{f5,f6},{f5}} is non empty finite V42() set
Y . (f5,f6) is V11() V55() ext-real Element of REAL
n is V12() V15( NAT ) V16( bool (dom Y)) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool (dom Y)
dom n is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((dom Y),n) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom ((dom Y),n) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((dom Y),n) . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f2 . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n . f5 is set
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
{ [f6,b₁] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m : not Y . (f6,b₁) <= 0 } is set
{f6} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() Element of bool X
bool X is non empty finite V42() set
f2 . f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (f2 . f6) is finite f2 . f6 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
[:{f6},(Seg (f2 . f6)):] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
q mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
q * (p ") is V11() V55() ext-real non negative set
[\(q / p)/] is V11() integer V55() ext-real set
- (q div p) is V11() integer V55() ext-real non positive set
- q is V11() integer V55() ext-real non positive set
(- q) div p is V11() integer V55() ext-real set
(- q) / p is V11() V55() ext-real non positive set
(- q) * (p ") is V11() V55() ext-real non positive set
[\((- q) / p)/] is V11() integer V55() ext-real set
((- q) div p) + 1 is V11() integer V55() ext-real set
(p -' 1) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) * q) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) * q) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) * q) / 2 is V11() V55() ext-real non negative set
((p -' 1) * q) * (2 ") is V11() V55() ext-real non negative set
[\(((p -' 1) * q) / 2)/] is V11() integer V55() ext-real set
((p -' 1) div 2) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) * q) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((p -' 1) div 2) * q) / p is V11() V55() ext-real non negative set
(((p -' 1) div 2) * q) * (p ") is V11() V55() ext-real non negative set
[\((((p -' 1) div 2) * q) / p)/] is V11() integer V55() ext-real set
(p - 1) * q is V11() integer V55() ext-real set
2 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p - 1) * q) div (2 * p) is V11() integer V55() ext-real set
((p - 1) * q) / (2 * p) is V11() V55() ext-real set
(2 * p) " is V11() V55() ext-real non negative set
((p - 1) * q) * ((2 * p) ") is V11() V55() ext-real set
[\(((p - 1) * q) / (2 * p))/] is V11() integer V55() ext-real set
p * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p * q) - q is V11() integer V55() ext-real set
(p * q) + (- q) is V11() integer V55() ext-real set
((p * q) - q) div p is V11() integer V55() ext-real set
((p * q) - q) / p is V11() V55() ext-real set
((p * q) - q) * (p ") is V11() V55() ext-real set
[\(((p * q) - q) / p)/] is V11() integer V55() ext-real set
(((p * q) - q) div p) div 2 is V11() integer V55() ext-real set
(((p * q) - q) div p) / 2 is V11() V55() ext-real set
(((p * q) - q) div p) * (2 ") is V11() V55() ext-real set
[\((((p * q) - q) div p) / 2)/] is V11() integer V55() ext-real set
(- (q div p)) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- (q div p)) + (- 1) is V11() integer V55() ext-real non positive set
q + ((- (q div p)) - 1) is V11() integer V55() ext-real set
(q + ((- (q div p)) - 1)) div 2 is V11() integer V55() ext-real set
(q + ((- (q div p)) - 1)) / 2 is V11() V55() ext-real set
(q + ((- (q div p)) - 1)) * (2 ") is V11() V55() ext-real set
[\((q + ((- (q div p)) - 1)) / 2)/] is V11() integer V55() ext-real set
(2 * ((q -' 1) div 2)) + (- (q div p)) is V11() integer V55() ext-real set
((2 * ((q -' 1) div 2)) + (- (q div p))) div 2 is V11() integer V55() ext-real set
((2 * ((q -' 1) div 2)) + (- (q div p))) / 2 is V11() V55() ext-real set
((2 * ((q -' 1) div 2)) + (- (q div p))) * (2 ") is V11() V55() ext-real set
[\(((2 * ((q -' 1) div 2)) + (- (q div p))) / 2)/] is V11() integer V55() ext-real set
(- (q div p)) div 2 is V11() integer V55() ext-real set
(- (q div p)) / 2 is V11() V55() ext-real non positive set
(- (q div p)) * (2 ") is V11() V55() ext-real non positive set
[\((- (q div p)) / 2)/] is V11() integer V55() ext-real set
((q -' 1) div 2) + ((- (q div p)) div 2) is V11() integer V55() ext-real set
(q div p) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q div p) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q div p) / 2 is V11() V55() ext-real non negative set
(q div p) * (2 ") is V11() V55() ext-real non negative set
[\((q div p) / 2)/] is V11() integer V55() ext-real set
- ((q div p) div 2) is V11() integer V55() ext-real non positive set
q div (2 * p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q / (2 * p) is V11() V55() ext-real non negative set
q * ((2 * p) ") is V11() V55() ext-real non negative set
[\(q / (2 * p))/] is V11() integer V55() ext-real set
- (q div (2 * p)) is V11() integer V55() ext-real non positive set
((q -' 1) div 2) - (q div (2 * p)) is V11() integer V55() ext-real set
((q -' 1) div 2) + (- (q div (2 * p))) is V11() integer V55() ext-real set
(q div p) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q div p) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q div p) / 2 is V11() V55() ext-real non negative set
(q div p) * (2 ") is V11() V55() ext-real non negative set
[\((q div p) / 2)/] is V11() integer V55() ext-real set
- ((q div p) div 2) is V11() integer V55() ext-real non positive set
((- (q div p)) div 2) + 1 is V11() integer V55() ext-real set
(- ((q div p) div 2)) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- ((q div p) div 2)) + (- 1) is V11() integer V55() ext-real non positive set
q div (2 * p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q / (2 * p) is V11() V55() ext-real non negative set
q * ((2 * p) ") is V11() V55() ext-real non negative set
[\(q / (2 * p))/] is V11() integer V55() ext-real set
- (q div (2 * p)) is V11() integer V55() ext-real non positive set
(- (q div (2 * p))) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- (q div (2 * p))) + (- 1) is V11() integer V55() ext-real non positive set
(q div (2 * p)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) div 2) - ((q div (2 * p)) + 1) is V11() integer V55() ext-real set
- ((q div (2 * p)) + 1) is V11() integer V55() ext-real non positive set
((q -' 1) div 2) + (- ((q div (2 * p)) + 1)) is V11() integer V55() ext-real set
(q div p) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f6 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f6 * q) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f6 * q) / p is V11() V55() ext-real non negative set
(f6 * q) * (p ") is V11() V55() ext-real non negative set
[\((f6 * q) / p)/] is V11() integer V55() ext-real set
f1 . f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . f6) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . f6) / p is V11() V55() ext-real non negative set
(f1 . f6) * (p ") is V11() V55() ext-real non negative set
[\((f1 . f6) / p)/] is V11() integer V55() ext-real set
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f6 is set
d is set
l is set
[d,l] is set
{d,l} is non empty finite set
{d} is non empty trivial finite 1 -element set
{{d,l},{d}} is non empty finite V42() set
e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
d1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
((f6 * q) / p) * p is V11() V55() ext-real non negative set
d1 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f6 / p is V11() V55() ext-real non negative set
f6 * (p ") is V11() V55() ext-real non negative set
d1 / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
d1 * (q ") is V11() V55() ext-real non negative set
(f6 / p) - (d1 / q) is V11() V55() ext-real set
- (d1 / q) is V11() V55() ext-real non positive set
(f6 / p) + (- (d1 / q)) is V11() V55() ext-real set
Y . (f6,d1) is V11() V55() ext-real Element of REAL
[f6,d1] is Element of [:X,m:]
{f6,d1} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{f6} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{f6,d1},{f6}} is non empty finite V42() set
f6 is set
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
[f6,d] is Element of [:X,m:]
{f6,d} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{f6} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{f6,d},{f6}} is non empty finite V42() set
Y . (f6,d) is V11() V55() ext-real Element of REAL
f6 / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
f6 * (p ") is V11() V55() ext-real non negative set
d / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
d * (q ") is V11() V55() ext-real non negative set
(f6 / p) - (d / q) is V11() V55() ext-real set
- (d / q) is V11() V55() ext-real non positive set
(f6 / p) + (- (d / q)) is V11() V55() ext-real set
((f6 / p) - (d / q)) + (d / q) is V11() V55() ext-real set
0 + (d / q) is V11() V55() ext-real non negative set
(f6 / p) * q is V11() V55() ext-real non negative set
(d / q) * q is V11() V55() ext-real non negative set
f6 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f6 * q) / p is V11() V55() ext-real non negative set
(f6 * q) * (p ") is V11() V55() ext-real non negative set
(f6 * q) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
[\((f6 * q) / p)/] is V11() integer V55() ext-real set
f1 . f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . f6) div p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . f6) / p is V11() V55() ext-real non negative set
(f1 . f6) * (p ") is V11() V55() ext-real non negative set
[\((f1 . f6) / p)/] is V11() integer V55() ext-real set
card (n . f5) is V4() V5() V6() cardinal set
[:(Seg (f2 . f6)),{f6}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
card [:(Seg (f2 . f6)),{f6}:] is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (Seg (f2 . f6)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (f2 . f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
{ [b₁,f6] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X : not 0 <= Y . (b₁,f6) } is set
f5 is set
f6 is set
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
[d,f6] is Element of [:X,m:]
{d,f6} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{d} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{d,f6},{d}} is non empty finite V42() set
Y . (d,f6) is V11() V55() ext-real Element of REAL
f5 is V12() V15( NAT ) V16( bool (dom Y)) Function-like finite FinSequence-like FinSubsequence-like V109() FinSequence of bool (dom Y)
dom f5 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((dom Y),f5) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
dom ((dom Y),f5) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len g2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len g2) is finite len g2 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((dom Y),f5) . f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g2 . f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 . f6 is set
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
{ [b₁,f5] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X : not 0 <= Y . (b₁,f5) } is set
g2 . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (g2 . f5) is finite g2 . f5 -element V74() V75() V76() V77() V78() V79() Element of bool NAT
{f5} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() Element of bool m
bool m is non empty finite V42() set
[:(Seg (g2 . f5)),{f5}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
p mod q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
p * (q ") is V11() V55() ext-real non negative set
[\(p / q)/] is V11() integer V55() ext-real set
- (p div q) is V11() integer V55() ext-real non positive set
- p is V11() integer V55() ext-real non positive set
(- p) div q is V11() integer V55() ext-real set
(- p) / q is V11() V55() ext-real non positive set
(- p) * (q ") is V11() V55() ext-real non positive set
[\((- p) / q)/] is V11() integer V55() ext-real set
((- p) div q) + 1 is V11() integer V55() ext-real set
(q -' 1) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) * p) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) * p) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) * p) / 2 is V11() V55() ext-real non negative set
((q -' 1) * p) * (2 ") is V11() V55() ext-real non negative set
[\(((q -' 1) * p) / 2)/] is V11() integer V55() ext-real set
((q -' 1) div 2) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((q -' 1) div 2) * p) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((q -' 1) div 2) * p) / q is V11() V55() ext-real non negative set
(((q -' 1) div 2) * p) * (q ") is V11() V55() ext-real non negative set
[\((((q -' 1) div 2) * p) / q)/] is V11() integer V55() ext-real set
(q - 1) * p is V11() integer V55() ext-real set
2 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q - 1) * p) div (2 * q) is V11() integer V55() ext-real set
((q - 1) * p) / (2 * q) is V11() V55() ext-real set
(2 * q) " is V11() V55() ext-real non negative set
((q - 1) * p) * ((2 * q) ") is V11() V55() ext-real set
[\(((q - 1) * p) / (2 * q))/] is V11() integer V55() ext-real set
q * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q * p) - p is V11() integer V55() ext-real set
(q * p) + (- p) is V11() integer V55() ext-real set
((q * p) - p) div q is V11() integer V55() ext-real set
((q * p) - p) / q is V11() V55() ext-real set
((q * p) - p) * (q ") is V11() V55() ext-real set
[\(((q * p) - p) / q)/] is V11() integer V55() ext-real set
(((q * p) - p) div q) div 2 is V11() integer V55() ext-real set
(((q * p) - p) div q) / 2 is V11() V55() ext-real set
(((q * p) - p) div q) * (2 ") is V11() V55() ext-real set
[\((((q * p) - p) div q) / 2)/] is V11() integer V55() ext-real set
(- (p div q)) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- (p div q)) + (- 1) is V11() integer V55() ext-real non positive set
p + ((- (p div q)) - 1) is V11() integer V55() ext-real set
(p + ((- (p div q)) - 1)) div 2 is V11() integer V55() ext-real set
(p + ((- (p div q)) - 1)) / 2 is V11() V55() ext-real set
(p + ((- (p div q)) - 1)) * (2 ") is V11() V55() ext-real set
[\((p + ((- (p div q)) - 1)) / 2)/] is V11() integer V55() ext-real set
(2 * ((p -' 1) div 2)) - (p div q) is V11() integer V55() ext-real set
(2 * ((p -' 1) div 2)) + (- (p div q)) is V11() integer V55() ext-real set
((2 * ((p -' 1) div 2)) - (p div q)) div 2 is V11() integer V55() ext-real set
((2 * ((p -' 1) div 2)) - (p div q)) / 2 is V11() V55() ext-real set
((2 * ((p -' 1) div 2)) - (p div q)) * (2 ") is V11() V55() ext-real set
[\(((2 * ((p -' 1) div 2)) - (p div q)) / 2)/] is V11() integer V55() ext-real set
(- (p div q)) div 2 is V11() integer V55() ext-real set
(- (p div q)) / 2 is V11() V55() ext-real non positive set
(- (p div q)) * (2 ") is V11() V55() ext-real non positive set
[\((- (p div q)) / 2)/] is V11() integer V55() ext-real set
((p -' 1) div 2) + ((- (p div q)) div 2) is V11() integer V55() ext-real set
(p div q) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div q) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div q) / 2 is V11() V55() ext-real non negative set
(p div q) * (2 ") is V11() V55() ext-real non negative set
[\((p div q) / 2)/] is V11() integer V55() ext-real set
- ((p div q) div 2) is V11() integer V55() ext-real non positive set
p div (2 * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / (2 * q) is V11() V55() ext-real non negative set
p * ((2 * q) ") is V11() V55() ext-real non negative set
[\(p / (2 * q))/] is V11() integer V55() ext-real set
- (p div (2 * q)) is V11() integer V55() ext-real non positive set
((p -' 1) div 2) - (p div (2 * q)) is V11() integer V55() ext-real set
((p -' 1) div 2) + (- (p div (2 * q))) is V11() integer V55() ext-real set
(p div q) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div q) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p div q) / 2 is V11() V55() ext-real non negative set
(p div q) * (2 ") is V11() V55() ext-real non negative set
[\((p div q) / 2)/] is V11() integer V55() ext-real set
- ((p div q) div 2) is V11() integer V55() ext-real non positive set
((- (p div q)) div 2) + 1 is V11() integer V55() ext-real set
(- ((p div q) div 2)) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- ((p div q) div 2)) + (- 1) is V11() integer V55() ext-real non positive set
p div (2 * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / (2 * q) is V11() V55() ext-real non negative set
p * ((2 * q) ") is V11() V55() ext-real non negative set
[\(p / (2 * q))/] is V11() integer V55() ext-real set
- (p div (2 * q)) is V11() integer V55() ext-real non positive set
(- (p div (2 * q))) - 1 is non empty V11() integer V55() ext-real non positive negative set
(- (p div (2 * q))) + (- 1) is V11() integer V55() ext-real non positive set
(p div (2 * q)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) div 2) - ((p div (2 * q)) + 1) is V11() integer V55() ext-real set
- ((p div (2 * q)) + 1) is V11() integer V55() ext-real non positive set
((p -' 1) div 2) + (- ((p div (2 * q)) + 1)) is V11() integer V55() ext-real set
(p div q) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
g1 . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f5) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f5) / q is V11() V55() ext-real non negative set
(g1 . f5) * (q ") is V11() V55() ext-real non negative set
[\((g1 . f5) / q)/] is V11() integer V55() ext-real set
f5 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f5 * p) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f5 * p) / q is V11() V55() ext-real non negative set
(f5 * p) * (q ") is V11() V55() ext-real non negative set
[\((f5 * p) / q)/] is V11() integer V55() ext-real set
d is set
l is set
e1 is set
[l,e1] is set
{l,e1} is non empty finite set
{l} is non empty trivial finite 1 -element set
{{l,e1},{l}} is non empty finite V42() set
d1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
((f5 * p) / q) * q is V11() V55() ext-real non negative set
n1 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n1 / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
n1 * (p ") is V11() V55() ext-real non negative set
f5 / q is V11() V55() ext-real non negative set
f5 * (q ") is V11() V55() ext-real non negative set
(n1 / p) - (f5 / q) is V11() V55() ext-real set
- (f5 / q) is V11() V55() ext-real non positive set
(n1 / p) + (- (f5 / q)) is V11() V55() ext-real set
Y . (n1,f5) is V11() V55() ext-real Element of REAL
[n1,f5] is Element of [:X,m:]
{n1,f5} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{n1} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{n1,f5},{n1}} is non empty finite V42() set
d is set
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
[l,f5] is Element of [:X,m:]
{l,f5} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{l} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{l,f5},{l}} is non empty finite V42() set
Y . (l,f5) is V11() V55() ext-real Element of REAL
l / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
l * (p ") is V11() V55() ext-real non negative set
f5 / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
f5 * (q ") is V11() V55() ext-real non negative set
(l / p) - (f5 / q) is V11() V55() ext-real set
- (f5 / q) is V11() V55() ext-real non positive set
(l / p) + (- (f5 / q)) is V11() V55() ext-real set
0 + (f5 / q) is V11() V55() ext-real non negative set
((l / p) - (f5 / q)) + (f5 / q) is V11() V55() ext-real set
(f5 / q) * p is V11() V55() ext-real non negative set
(l / p) * p is V11() V55() ext-real non negative set
f5 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f5 * p) / q is V11() V55() ext-real non negative set
(f5 * p) * (q ") is V11() V55() ext-real non negative set
(f5 * p) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
[\((f5 * p) / q)/] is V11() integer V55() ext-real set
g1 . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f5) div q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(g1 . f5) / q is V11() V55() ext-real non negative set
(g1 . f5) * (q ") is V11() V55() ext-real non negative set
[\((g1 . f5) / q)/] is V11() integer V55() ext-real set
card (f5 . f6) is V4() V5() V6() cardinal set
card (Seg (g2 . f5)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (g2 . f6) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng n is finite V42() Element of bool (bool (dom Y))
bool (bool (dom Y)) is non empty finite V42() set
union (rng n) is finite set
rng f5 is finite V42() Element of bool (bool (dom Y))
union (rng f5) is finite set
f6 is V12() V15(X) V16(m) finite V64() V65() V66() V67() Element of bool (dom Y)
f5 is V12() V15(X) V16(m) finite V64() V65() V66() V67() Element of bool (dom Y)
f6 \/ f5 is V12() V15(X) V16( RAT ) V16(m) finite V64() V65() V66() V67() Element of bool (dom Y)
f6 is set
d is set
l is set
[d,l] is set
{d,l} is non empty finite set
{d} is non empty trivial finite 1 -element set
{{d,l},{d}} is non empty finite V42() set
d1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
Y . (d1,e1) is V11() V55() ext-real Element of REAL
d1 / p is V11() V55() ext-real non negative set
p " is non empty V11() V55() ext-real positive non negative set
d1 * (p ") is V11() V55() ext-real non negative set
e1 / q is V11() V55() ext-real non negative set
q " is non empty V11() V55() ext-real positive non negative set
e1 * (q ") is V11() V55() ext-real non negative set
(d1 / p) - (e1 / q) is V11() V55() ext-real set
- (e1 / q) is V11() V55() ext-real non positive set
(d1 / p) + (- (e1 / q)) is V11() V55() ext-real set
d1 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
e1 * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
0 + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n . d1 is set
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
{ [n1,b₁] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m : not Y . (n1,b₁) <= 0 } is set
Union n is set
rng n is finite set
union (rng n) is set
f5 . e1 is set
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
{ [b₁,n1] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X : not 0 <= Y . (b₁,n1) } is set
Union f5 is set
rng f5 is finite set
union (rng f5) is set
f6 is set
Union f5 is set
rng f5 is finite set
union (rng f5) is set
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f5 . d is set
Union n is set
rng n is finite set
union (rng n) is set
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
n . l is set
d1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 . d1 is set
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
{ [b₁,n1] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X : not 0 <= Y . (b₁,n1) } is set
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
[n2,n1] is Element of [:X,m:]
{n2,n1} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{n2} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{n2,n1},{n2}} is non empty finite V42() set
Y . (n2,n1) is V11() V55() ext-real Element of REAL
e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
n . e1 is set
m1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
{ [m1,b₁] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m : not Y . (m1,b₁) <= 0 } is set
c₄₄ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
[m1,c₄₄] is Element of [:X,m:]
{m1,c₄₄} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{m1} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{m1,c₄₄},{m1}} is non empty finite V42() set
Y . (m1,c₄₄) is V11() V55() ext-real Element of REAL
c₄₄ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
[m1,c₄₄] is Element of [:X,m:]
{m1,c₄₄} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{m1} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{m1,c₄₄},{m1}} is non empty finite V42() set
Y . (m1,c₄₄) is V11() V55() ext-real Element of REAL
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f5 . f6 is set
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f5 . d is set
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
{ [b₁,l] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X : not 0 <= Y . (b₁,l) } is set
e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
{ [b₁,e1] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X : not 0 <= Y . (b₁,e1) } is set
d1 is set
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
[n1,e1] is Element of [:X,m:]
{n1,e1} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{n1} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{n1,e1},{n1}} is non empty finite V42() set
Y . (n1,e1) is V11() V55() ext-real Element of REAL
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
[n2,l] is Element of [:X,m:]
{n2,l} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{n2} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{n2,l},{n2}} is non empty finite V42() set
Y . (n2,l) is V11() V55() ext-real Element of REAL
len f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (union (rng f5)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum ((dom Y),f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
n . f6 is set
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
n . d is set
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
{ [l,b₁] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m : not Y . (l,b₁) <= 0 } is set
e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of X
{ [e1,b₁] where b₁ is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m : not Y . (e1,b₁) <= 0 } is set
d1 is set
n1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
[e1,n1] is Element of [:X,m:]
{e1,n1} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{e1} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{e1,n1},{e1}} is non empty finite V42() set
Y . (e1,n1) is V11() V55() ext-real Element of REAL
n2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() Element of m
[l,n2] is Element of [:X,m:]
{l,n2} is non empty finite V42() V74() V75() V76() V77() V78() V79() set
{l} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
{{l,n2},{l}} is non empty finite V42() set
Y . (l,n2) is V11() V55() ext-real Element of REAL
len n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (union (rng n)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum ((dom Y),n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card (f6 \/ f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum ((dom Y),n)) + (Sum ((dom Y),f5)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card [:X,m:] is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card X is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card m is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(card X) * (card m) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) div 2) * (card m) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * f2 is V12() V15( NAT ) V16( REAL ) V16( RAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() M26( REAL , NAT )
dom (p * f2) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len (p * f2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) div 2) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b₁ where b₁ is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of NAT * : len b₁ = (p -' 1) div 2 } is set
((p -' 1) div 2) -tuples_on REAL is non empty functional FinSequence-membered FinSequenceSet of REAL
{ b₁ where b₁ is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of REAL * : len b₁ = (p -' 1) div 2 } is set
(p -' 1) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) + 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) + 1) / 2 is V11() V55() ext-real non negative set
((p -' 1) + 1) * (2 ") is V11() V55() ext-real non negative set
[\(((p -' 1) + 1) / 2)/] is V11() integer V55() ext-real set
p div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
[\(p / 2)/] is V11() integer V55() ext-real set
X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
card X is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(rng (Sgm (rng (f1 mod p)))) \ X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(p * f2) + (f1 mod p) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
dom ((p * f2) + (f1 mod p)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom (p * f2)) /\ (dom (f1 mod p)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom f2) /\ (dom (f1 mod p)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f1 . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p * f2) + (f1 mod p)) . n is V11() V55() ext-real set
(p * f2) . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 mod p) . n is V11() V55() ext-real set
((p * f2) . n) + ((f1 mod p) . n) is V11() V55() ext-real set
f2 . n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * (f2 . n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p * (f2 . n)) + ((f1 mod p) . n) is V11() V55() ext-real set
Sum f1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (p * f2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (f1 mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum (p * f2)) + (Sum (f1 mod p)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p * (Sum f2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p * (Sum f2)) + (Sum (f1 mod p)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Y is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
card (rng (Sgm (rng (f1 mod p)))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p -' 1) div 2) - (card X) is V11() integer V55() ext-real set
- (card X) is V11() integer V55() ext-real non positive set
((p -' 1) div 2) + (- (card X)) is V11() integer V55() ext-real set
n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sgm (rng (f1 mod p))) | n is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(Sgm (rng (f1 mod p))) /^ n is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
((Sgm (rng (f1 mod p))) | n) ^ ((Sgm (rng (f1 mod p))) /^ n) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
Sum (Sgm (rng (f1 mod p))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Y \/ X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sgm (Y \/ X) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sgm Y is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sgm X is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
(Sgm Y) ^ (Sgm X) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() Cardinal-yielding V109() M26( REAL , NAT )
(rng (Sgm (rng (f1 mod p)))) \/ X is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Sgm ((rng (Sgm (rng (f1 mod p)))) \/ X) is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
Sum (Sgm Y) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum (Sgm X) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum (Sgm Y)) + (Sum (Sgm X)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q * (Sum (idseq ((p -' 1) div 2))) is V11() V55() ext-real set
(p * (Sum f2)) + (Sum (Sgm Y)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p * (Sum f2)) + (Sum (Sgm Y))) + (Sum (Sgm X)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len (Sgm Y) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
card Y is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q,p) is V11() integer V55() ext-real set
(- 1) |^ (Sum f2) is V11() integer V55() ext-real set
(card X) |-> p is V12() V15( NAT ) V16( NAT ) Function-like finite card X -element FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() Element of (card X) -tuples_on NAT
(card X) -tuples_on NAT is non empty functional FinSequence-membered FinSequenceSet of NAT
{ b₁ where b₁ is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V109() Element of NAT * : len b₁ = card X } is set
Seg (card X) is finite card X -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (card X)) --> p is V12() V15( Seg (card X)) V16( RAT ) V16( INT ) V16({p}) Function-like V26( Seg (card X),{p}) finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() V109() Element of bool [:(Seg (card X)),{p}:]
{p} is non empty trivial finite V42() 1 -element V74() V75() V76() V77() V78() V79() set
[:(Seg (card X)),{p}:] is V12() V16( RAT ) V16( INT ) finite V64() V65() V66() V67() set
bool [:(Seg (card X)),{p}:] is non empty finite V42() set
((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n) is V12() V15( NAT ) V16( REAL ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() FinSequence of REAL
((Sgm (rng (f1 mod p))) | n) ^ (((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) is V12() V15( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V109() set
rng (idseq ((p -' 1) div 2)) is finite V74() V75() V76() V77() V78() V79() Element of bool RAT
bool RAT is non empty non trivial non finite set
len ((Sgm (rng (f1 mod p))) | n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len ((Sgm (rng (f1 mod p))) /^ n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len (Sgm (rng (f1 mod p)))) -' n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len (Sgm (rng (f1 mod p)))) - n is V11() integer V55() ext-real set
- n is V11() integer V55() ext-real non positive set
(len (Sgm (rng (f1 mod p)))) + (- n) is V11() integer V55() ext-real set
dom (((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((card X) |-> p) is finite card X -element V74() V75() V76() V77() V78() V79() Element of bool NAT
dom ((Sgm (rng (f1 mod p))) /^ n) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom ((card X) |-> p)) /\ (dom ((Sgm (rng (f1 mod p))) /^ n)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len ((card X) |-> p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Seg (len ((card X) |-> p)) is finite len ((card X) |-> p) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((card X) |-> p))) /\ (dom ((Sgm (rng (f1 mod p))) /^ n)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
Seg (len ((Sgm (rng (f1 mod p))) /^ n)) is finite len ((Sgm (rng (f1 mod p))) /^ n) -element V74() V75() V76() V77() V78() V79() Element of bool NAT
(Seg (len ((Sgm (rng (f1 mod p))) /^ n))) /\ (dom ((Sgm (rng (f1 mod p))) /^ n)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
(dom ((Sgm (rng (f1 mod p))) /^ n)) /\ (dom ((Sgm (rng (f1 mod p))) /^ n)) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len (((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) . f5 is V11() V55() ext-real set
((Sgm (rng (f1 mod p))) /^ n) . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (f1 mod p))) /^ n) . f5) is V11() integer V55() ext-real set
- (((Sgm (rng (f1 mod p))) /^ n) . f5) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (f1 mod p))) /^ n) . f5)) is V11() integer V55() ext-real set
((card X) |-> p) . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) . f5 is V11() V55() ext-real set
(Sgm X) . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Sgm X) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (f1 mod p))) /^ n) . f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . d is V11() V55() ext-real set
f1 . d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . d) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (f1 mod p))) /^ n) . f5) is V11() integer V55() ext-real set
- (((Sgm (rng (f1 mod p))) /^ n) . f5) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (f1 mod p))) /^ n) . f5)) is V11() integer V55() ext-real set
p - (p / 2) is V11() V55() ext-real set
- (p / 2) is V11() V55() ext-real non positive set
p + (- (p / 2)) is V11() V55() ext-real set
f6 is V11() integer V55() ext-real V59() Element of INT
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) is finite V74() V75() V76() Element of bool REAL
f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(((card X) |-> p) - ((Sgm (rng (f1 mod p))) /^ n)) . f5 is V11() V55() ext-real set
f5 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
f6 is V12() V15( NAT ) V16( NAT ) Function-like finite FinSequence-like FinSubsequence-like V64() V65() V66() V67() Cardinal-yielding V109() FinSequence of NAT
rng ((Sgm (rng (f1 mod p))) | n) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
rng f5 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
d is set
dom f5 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f5 . l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sgm (rng (f1 mod p))) /^ n) . l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (f1 mod p))) /^ n) . l) is V11() integer V55() ext-real set
- (((Sgm (rng (f1 mod p))) /^ n) . l) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (f1 mod p))) /^ n) . l)) is V11() integer V55() ext-real set
l + n is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sgm (rng (f1 mod p))) . (l + n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - ((Sgm (rng (f1 mod p))) . (l + n)) is V11() integer V55() ext-real set
- ((Sgm (rng (f1 mod p))) . (l + n)) is V11() integer V55() ext-real non positive set
p + (- ((Sgm (rng (f1 mod p))) . (l + n))) is V11() integer V55() ext-real set
dom (Sgm (rng (f1 mod p))) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . e1 is V11() V55() ext-real set
d1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(f1 mod p) . d1 is V11() V55() ext-real set
d1 + e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
((p -' 1) div 2) + ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . d1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . d1) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((f1 . d1) mod p) + ((Sgm (rng (f1 mod p))) . (l + n)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f1 . e1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . e1) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((f1 . d1) mod p) + ((f1 . e1) mod p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(((f1 . d1) mod p) + ((f1 . e1) mod p)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(f1 . d1) + (f1 . e1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((f1 . d1) + (f1 . e1)) mod p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
d1 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(d1 * q) + (f1 . e1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
e1 * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(d1 * q) + (e1 * q) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(d1 + e1) * q is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
len f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 . d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 . l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f5 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (f1 mod p))) /^ n) . l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (f1 mod p))) /^ n) . l) is V11() integer V55() ext-real set
- (((Sgm (rng (f1 mod p))) /^ n) . l) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (f1 mod p))) /^ n) . l)) is V11() integer V55() ext-real set
((Sgm (rng (f1 mod p))) /^ n) . d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - (((Sgm (rng (f1 mod p))) /^ n) . d) is V11() integer V55() ext-real set
- (((Sgm (rng (f1 mod p))) /^ n) . d) is V11() integer V55() ext-real non positive set
p + (- (((Sgm (rng (f1 mod p))) /^ n) . d)) is V11() integer V55() ext-real set
card (rng f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom f6 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
f6 . d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((Sgm (rng (f1 mod p))) | n) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
((Sgm (rng (f1 mod p))) | n) . d is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng (Sgm Y) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom f5 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(len ((Sgm (rng (f1 mod p))) | n)) + l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len ((Sgm (rng (f1 mod p))) | n)) + l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
f5 . l is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
dom ((Sgm (rng (f1 mod p))) | n) is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
dom f5 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
len f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(len ((Sgm (rng (f1 mod p))) | n)) + (len f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
rng f6 is finite V74() V75() V76() V77() V78() V79() Element of bool NAT
M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum f6 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum ((Sgm (rng (f1 mod p))) | n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum f5 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(Sum ((Sgm (rng (f1 mod p))) | n)) + (Sum f5) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(card X) * p is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
Sum ((Sgm (rng (f1 mod p))) /^ n) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((card X) * p) - (Sum ((Sgm (rng (f1 mod p))) /^ n)) is V11() integer V55() ext-real set
- (Sum ((Sgm (rng (f1 mod p))) /^ n)) is V11() integer V55() ext-real non positive set
((card X) * p) + (- (Sum ((Sgm (rng (f1 mod p))) /^ n))) is V11() integer V55() ext-real set
(Sum ((Sgm (rng (f1 mod p))) | n)) + (((card X) * p) - (Sum ((Sgm (rng (f1 mod p))) /^ n))) is V11() integer V55() ext-real set
(Sum ((Sgm (rng (f1 mod p))) | n)) + ((card X) * p) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((Sum ((Sgm (rng (f1 mod p))) | n)) + ((card X) * p)) - (Sum ((Sgm (rng (f1 mod p))) /^ n)) is V11() integer V55() ext-real set
((Sum ((Sgm (rng (f1 mod p))) | n)) + ((card X) * p)) + (- (Sum ((Sgm (rng (f1 mod p))) /^ n))) is V11() integer V55() ext-real set
(q - 1) * M is V11() integer V55() ext-real set
2 * (Sum (Sgm X)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p * (Sum f2)) + (2 * (Sum (Sgm X))) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((p * (Sum f2)) + (2 * (Sum (Sgm X)))) - ((card X) * p) is V11() integer V55() ext-real set
- ((card X) * p) is V11() integer V55() ext-real non positive set
((p * (Sum f2)) + (2 * (Sum (Sgm X)))) + (- ((card X) * p)) is V11() integer V55() ext-real set
(q -' 1) * M is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((q -' 1) * M) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p * (Sum f2)) - ((card X) * p) is V11() integer V55() ext-real set
(p * (Sum f2)) + (- ((card X) * p)) is V11() integer V55() ext-real set
((p * (Sum f2)) - ((card X) * p)) + (2 * (Sum (Sgm X))) is V11() integer V55() ext-real set
(((p * (Sum f2)) - ((card X) * p)) + (2 * (Sum (Sgm X)))) mod 2 is V11() integer V55() ext-real set
((p * (Sum f2)) - ((card X) * p)) mod 2 is V11() integer V55() ext-real set
(Sum f2) - (card X) is V11() integer V55() ext-real set
(Sum f2) + (- (card X)) is V11() integer V55() ext-real set
p * ((Sum f2) - (card X)) is V11() integer V55() ext-real set
(Sum f2) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(card X) mod 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (card X) is V11() integer V55() ext-real set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
q mod 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p,q) is V11() integer V55() ext-real set
(q,p) is V11() integer V55() ext-real set
- (q,p) is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - 1 is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
q div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q / 4 is V11() V55() ext-real non negative set
4 " is non empty V11() V55() ext-real positive non negative set
q * (4 ") is V11() V55() ext-real non negative set
[\(q / 4)/] is V11() integer V55() ext-real set
4 * (q div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (q div 4)) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (q div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (q div 4)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((2 * (q div 4)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
p div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 4 is V11() V55() ext-real non negative set
p * (4 ") is V11() V55() ext-real non negative set
[\(p / 4)/] is V11() integer V55() ext-real set
4 * (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (p div 4)) + 3 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(2 * (p div 4)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * ((2 * (p div 4)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
(p,q) * (q,p) is V11() integer V55() ext-real set
((2 * (p div 4)) + 1) * ((2 * (q div 4)) + 1) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ (((2 * (p div 4)) + 1) * ((2 * (q div 4)) + 1)) is V11() integer V55() ext-real set
(- 1) |^ ((2 * (p div 4)) + 1) is V11() integer V55() ext-real set
((- 1) |^ ((2 * (p div 4)) + 1)) |^ ((2 * (q div 4)) + 1) is V11() integer V55() ext-real set
(- 1) |^ (2 * (p div 4)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (p div 4))) * (- 1) is V11() integer V55() ext-real set
(((- 1) |^ (2 * (p div 4))) * (- 1)) |^ ((2 * (q div 4)) + 1) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 4) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (p div 4)) * (- 1) is V11() integer V55() ext-real set
((((- 1) |^ 2) |^ (p div 4)) * (- 1)) |^ ((2 * (q div 4)) + 1) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (p div 4)) * (- 1) is V11() integer V55() ext-real non positive set
(((1 |^ 2) |^ (p div 4)) * (- 1)) |^ ((2 * (q div 4)) + 1) is V11() integer V55() ext-real set
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 ^2) |^ (p div 4)) * (- 1) is V11() integer V55() ext-real non positive set
(((1 ^2) |^ (p div 4)) * (- 1)) |^ ((2 * (q div 4)) + 1) is V11() integer V55() ext-real set
1 * (- 1) is V11() integer V55() ext-real non positive set
(1 * (- 1)) |^ ((2 * (q div 4)) + 1) is V11() integer V55() ext-real set
(- 1) |^ (2 * (q div 4)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (q div 4))) * (- 1) is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (q div 4) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (q div 4)) * (- 1) is V11() integer V55() ext-real set
(1 |^ 2) |^ (q div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (q div 4)) * (- 1) is V11() integer V55() ext-real non positive set
(1 ^2) |^ (q div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 ^2) |^ (q div 4)) * (- 1) is V11() integer V55() ext-real non positive set
p is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
p mod 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative prime set
q mod 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p,q) is V11() integer V55() ext-real set
(q,p) is V11() integer V55() ext-real set
p -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p - 1 is V11() integer V55() ext-real set
p + (- 1) is V11() integer V55() ext-real set
q -' 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q - 1 is V11() integer V55() ext-real set
q + (- 1) is V11() integer V55() ext-real set
p div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
p / 4 is V11() V55() ext-real non negative set
4 " is non empty V11() V55() ext-real positive non negative set
p * (4 ") is V11() V55() ext-real non negative set
[\(p / 4)/] is V11() integer V55() ext-real set
4 * (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (p div 4)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (2 * (p div 4)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
(p,q) * (q,p) is V11() integer V55() ext-real set
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
(2 * (p div 4)) * ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ ((2 * (p div 4)) * ((q -' 1) div 2)) is V11() integer V55() ext-real set
(- 1) |^ (2 * (p div 4)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (p div 4))) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (p div 4) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (p div 4)) |^ ((q -' 1) div 2) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (p div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (p div 4)) |^ ((q -' 1) div 2) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ (p div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 ^2) |^ (p div 4)) |^ ((q -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ ((q -' 1) div 2) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q div 4 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
q / 4 is V11() V55() ext-real non negative set
4 " is non empty V11() V55() ext-real positive non negative set
q * (4 ") is V11() V55() ext-real non negative set
[\(q / 4)/] is V11() integer V55() ext-real set
4 * (q div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(4 * (q div 4)) + 1 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (q div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
2 * (2 * (q div 4)) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(q -' 1) / 2 is V11() V55() ext-real non negative set
2 " is non empty V11() V55() ext-real positive non negative set
(q -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((q -' 1) / 2)/] is V11() integer V55() ext-real set
(p,q) * (q,p) is V11() integer V55() ext-real set
(p -' 1) div 2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(p -' 1) / 2 is V11() V55() ext-real non negative set
(p -' 1) * (2 ") is V11() V55() ext-real non negative set
[\((p -' 1) / 2)/] is V11() integer V55() ext-real set
(2 * (q div 4)) * ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(- 1) |^ ((2 * (q div 4)) * ((p -' 1) div 2)) is V11() integer V55() ext-real set
(- 1) |^ (2 * (q div 4)) is V11() integer V55() ext-real set
((- 1) |^ (2 * (q div 4))) |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
(- 1) |^ 2 is V11() integer V55() ext-real set
((- 1) |^ 2) |^ (q div 4) is V11() integer V55() ext-real set
(((- 1) |^ 2) |^ (q div 4)) |^ ((p -' 1) div 2) is V11() integer V55() ext-real set
1 |^ 2 is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
(1 |^ 2) |^ (q div 4) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 |^ 2) |^ (q div 4)) |^ ((p -' 1) div 2) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 ^2 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 * 1 is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative set
(1 ^2) |^ (q div 4) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
((1 ^2) |^ (q div 4)) |^ ((p -' 1) div 2) is V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT
1 |^ ((p -' 1) div 2) is non empty V4() V5() V6() V10() V11() integer finite cardinal V55() ext-real positive non negative V59() V74() V75() V76() V77() V78() V79() Element of NAT