:: SERIES_3 semantic presentation

REAL is V1() V45() V57() V58() V59() V63() set
NAT is V57() V58() V59() V60() V61() V62() V63() Element of K6(REAL)
K6(REAL) is set
COMPLEX is V1() V45() V57() V63() set
omega is V57() V58() V59() V60() V61() V62() V63() set
K6(omega) is set
K6(NAT) is set
K7(NAT,REAL) is V33() V34() V35() set
K6(K7(NAT,REAL)) is set
RAT is V1() V45() V57() V58() V59() V60() V63() set
INT is V1() V45() V57() V58() V59() V60() V61() V63() set
K7(COMPLEX,COMPLEX) is V33() set
K6(K7(COMPLEX,COMPLEX)) is set
K7(K7(COMPLEX,COMPLEX),COMPLEX) is V33() set
K6(K7(K7(COMPLEX,COMPLEX),COMPLEX)) is set
K7(REAL,REAL) is V33() V34() V35() set
K6(K7(REAL,REAL)) is set
K7(K7(REAL,REAL),REAL) is V33() V34() V35() set
K6(K7(K7(REAL,REAL),REAL)) is set
K7(RAT,RAT) is V20( RAT ) V33() V34() V35() set
K6(K7(RAT,RAT)) is set
K7(K7(RAT,RAT),RAT) is V20( RAT ) V33() V34() V35() set
K6(K7(K7(RAT,RAT),RAT)) is set
K7(INT,INT) is V20( RAT ) V20( INT ) V33() V34() V35() set
K6(K7(INT,INT)) is set
K7(K7(INT,INT),INT) is V20( RAT ) V20( INT ) V33() V34() V35() set
K6(K7(K7(INT,INT),INT)) is set
K7(NAT,NAT) is V20( RAT ) V20( INT ) V33() V34() V35() V36() set
K7(K7(NAT,NAT),NAT) is V20( RAT ) V20( INT ) V33() V34() V35() V36() set
K6(K7(K7(NAT,NAT),NAT)) is set
1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 is V1() ordinal natural V11() real ext-real non positive non negative V43() V56() V57() V58() V59() V60() V61() V62() V63() Element of NAT
2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt 4 is V11() real ext-real Element of REAL
3 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / 2 is V1() V11() real ext-real positive non negative Element of REAL
2 " is V1() V11() real ext-real positive non negative set
1 * (2 ") is V1() V11() real ext-real positive non negative set
n is V11() real ext-real set
abs n is V11() real ext-real non negative Element of REAL
n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
n |^ 2 is V11() real ext-real set
n |^ 1 is V11() real ext-real set
(n |^ 1) * n is V11() real ext-real set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ (1 + 1) is V11() real ext-real set
1 |^ 3 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 3 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (2 + 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 2 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ 2) * 2 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 ^2 is V11() real ext-real Element of REAL
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative set
(2 ^2) * 2 is V11() real ext-real Element of REAL
3 |^ 3 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ (2 + 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ 2 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 |^ 2) * 3 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 ^2 is V11() real ext-real Element of REAL
3 * 3 is V1() ordinal natural V11() real ext-real positive non negative set
(3 ^2) * 3 is V11() real ext-real Element of REAL
n is V11() real ext-real set
- n is V11() real ext-real set
(- n) |^ 3 is V11() real ext-real set
n |^ 3 is V11() real ext-real set
- (n |^ 3) is V11() real ext-real set
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n is V11() real ext-real set
n |^ 3 is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
3 * (n ^2) is V11() real ext-real Element of REAL
3 * n is V11() real ext-real Element of REAL
s is V11() real ext-real set
n + s is V11() real ext-real set
(n + s) |^ 3 is V11() real ext-real set
(3 * (n ^2)) * s is V11() real ext-real Element of REAL
(n |^ 3) + ((3 * (n ^2)) * s) is V11() real ext-real Element of REAL
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(3 * n) * (s ^2) is V11() real ext-real Element of REAL
((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2)) is V11() real ext-real Element of REAL
s |^ 3 is V11() real ext-real set
(((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2))) + (s |^ 3) is V11() real ext-real Element of REAL
3 * s is V11() real ext-real Element of REAL
(3 * s) * (n ^2) is V11() real ext-real Element of REAL
3 * (s ^2) is V11() real ext-real Element of REAL
(3 * (s ^2)) * n is V11() real ext-real Element of REAL
((3 * s) * (n ^2)) + ((3 * (s ^2)) * n) is V11() real ext-real Element of REAL
(n |^ 3) + (((3 * s) * (n ^2)) + ((3 * (s ^2)) * n)) is V11() real ext-real Element of REAL
((n |^ 3) + (((3 * s) * (n ^2)) + ((3 * (s ^2)) * n))) + (s |^ 3) is V11() real ext-real Element of REAL
n is V11() real ext-real set
n |^ 3 is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
s |^ 3 is V11() real ext-real set
(n |^ 3) + (s |^ 3) is V11() real ext-real set
n + s is V11() real ext-real set
n * s is V11() real ext-real set
(n ^2) - (n * s) is V11() real ext-real set
- (n * s) is V11() real ext-real set
(n ^2) + (- (n * s)) is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
((n ^2) - (n * s)) + (s ^2) is V11() real ext-real set
(n + s) * (((n ^2) - (n * s)) + (s ^2)) is V11() real ext-real set
(((n ^2) - (n * s)) + (s ^2)) * (n + s) is V11() real ext-real set
(n ^2) * n is V11() real ext-real set
s * (n ^2) is V11() real ext-real set
((n ^2) * n) + (s * (n ^2)) is V11() real ext-real set
n * (n * s) is V11() real ext-real set
s * (n * s) is V11() real ext-real set
(n * (n * s)) + (s * (n * s)) is V11() real ext-real set
(((n ^2) * n) + (s * (n ^2))) - ((n * (n * s)) + (s * (n * s))) is V11() real ext-real set
- ((n * (n * s)) + (s * (n * s))) is V11() real ext-real set
(((n ^2) * n) + (s * (n ^2))) + (- ((n * (n * s)) + (s * (n * s)))) is V11() real ext-real set
n * (s ^2) is V11() real ext-real set
s * (s ^2) is V11() real ext-real set
(n * (s ^2)) + (s * (s ^2)) is V11() real ext-real set
0 * (s ^2) is V11() real ext-real Element of REAL
((n * (s ^2)) + (s * (s ^2))) + (0 * (s ^2)) is V11() real ext-real Element of REAL
((((n ^2) * n) + (s * (n ^2))) - ((n * (n * s)) + (s * (n * s)))) + (((n * (s ^2)) + (s * (s ^2))) + (0 * (s ^2))) is V11() real ext-real Element of REAL
(n |^ 3) + (s * (n ^2)) is V11() real ext-real set
((n |^ 3) + (s * (n ^2))) - ((n * (n * s)) + (s * (n * s))) is V11() real ext-real set
((n |^ 3) + (s * (n ^2))) + (- ((n * (n * s)) + (s * (n * s)))) is V11() real ext-real set
(((n |^ 3) + (s * (n ^2))) - ((n * (n * s)) + (s * (n * s)))) + ((n * (s ^2)) + (s * (s ^2))) is V11() real ext-real set
(n ^2) * s is V11() real ext-real set
(s * s) * n is V11() real ext-real set
((n ^2) * s) + ((s * s) * n) is V11() real ext-real set
((n |^ 3) + (s * (n ^2))) - (((n ^2) * s) + ((s * s) * n)) is V11() real ext-real set
- (((n ^2) * s) + ((s * s) * n)) is V11() real ext-real set
((n |^ 3) + (s * (n ^2))) + (- (((n ^2) * s) + ((s * s) * n))) is V11() real ext-real set
(n * (s ^2)) + (s |^ 3) is V11() real ext-real set
(((n |^ 3) + (s * (n ^2))) - (((n ^2) * s) + ((s * s) * n))) + ((n * (s ^2)) + (s |^ 3)) is V11() real ext-real set
n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
abs n is V11() real ext-real non negative Element of REAL
s is V11() real ext-real set
n is V11() real ext-real set
s * n is V11() real ext-real set
sqrt (s * n) is V11() real ext-real set
sqrt (n ^2) is V11() real ext-real set
- n is V11() real ext-real set
n is V11() real ext-real set
s is V11() real ext-real set
s / n is V11() real ext-real Element of COMPLEX
n " is V11() real ext-real set
s * (n ") is V11() real ext-real set
n is V11() real ext-real set
s + n is V11() real ext-real set
n + n is V11() real ext-real set
(s + n) / (n + n) is V11() real ext-real Element of COMPLEX
(n + n) " is V11() real ext-real set
(s + n) * ((n + n) ") is V11() real ext-real set
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
n * (n - s) is V11() real ext-real set
n * (s + n) is V11() real ext-real set
n + n is V11() real ext-real set
s * (n + n) is V11() real ext-real set
(n * (s + n)) - (s * (n + n)) is V11() real ext-real set
- (s * (n + n)) is V11() real ext-real set
(n * (s + n)) + (- (s * (n + n))) is V11() real ext-real set
n * (n + n) is V11() real ext-real set
((n * (s + n)) - (s * (n + n))) / (n * (n + n)) is V11() real ext-real Element of COMPLEX
(n * (n + n)) " is V11() real ext-real set
((n * (s + n)) - (s * (n + n))) * ((n * (n + n)) ") is V11() real ext-real set
((s + n) / (n + n)) - (s / n) is V11() real ext-real Element of COMPLEX
- (s / n) is V11() real ext-real set
((s + n) / (n + n)) + (- (s / n)) is V11() real ext-real set
0 + (s / n) is V11() real ext-real Element of REAL
(((s + n) / (n + n)) - (s / n)) + (s / n) is V11() real ext-real Element of COMPLEX
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
sqrt (n * s) is V11() real ext-real set
n + s is V1() V11() real ext-real positive non negative set
(n + s) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
(n + s) * (2 ") is V1() V11() real ext-real positive non negative set
2 * (sqrt (n * s)) is V11() real ext-real Element of REAL
(2 * (sqrt (n * s))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (sqrt (n * s))) * (2 ") is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s " is V1() V11() real ext-real positive non negative set
n * (s ") is V1() V11() real ext-real positive non negative set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
s * (n ") is V1() V11() real ext-real positive non negative set
(n / s) + (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
s - n is V11() real ext-real set
- n is V1() V11() real ext-real non positive negative set
s + (- n) is V11() real ext-real set
(s - n) ^2 is V11() real ext-real set
(s - n) * (s - n) is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative Element of REAL
(2 * s) * n is V1() V11() real ext-real positive non negative Element of REAL
0 + ((2 * s) * n) is V1() V11() real ext-real positive non negative Element of REAL
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
(s ^2) - ((2 * s) * n) is V11() real ext-real Element of REAL
- ((2 * s) * n) is V1() V11() real ext-real non positive negative set
(s ^2) + (- ((2 * s) * n)) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
((s ^2) - ((2 * s) * n)) + (n ^2) is V11() real ext-real Element of REAL
(((s ^2) - ((2 * s) * n)) + (n ^2)) + ((2 * s) * n) is V11() real ext-real Element of REAL
s * n is V1() V11() real ext-real positive non negative set
2 * (s * n) is V1() V11() real ext-real positive non negative Element of REAL
1 * (s * n) is V1() V11() real ext-real positive non negative Element of REAL
(2 * (s * n)) / (1 * (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 * (s * n)) " is V1() V11() real ext-real positive non negative set
(2 * (s * n)) * ((1 * (s * n)) ") is V1() V11() real ext-real positive non negative set
(s ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / (s * n) is V11() real ext-real Element of COMPLEX
(s * n) " is V1() V11() real ext-real positive non negative set
((s ^2) + (n ^2)) * ((s * n) ") is V11() real ext-real set
2 / 1 is V1() V11() real ext-real positive non negative Element of COMPLEX
1 " is V1() V11() real ext-real positive non negative set
2 * (1 ") is V1() V11() real ext-real positive non negative set
(n * n) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * n) * ((s * n) ") is V1() V11() real ext-real positive non negative set
((n * n) / (s * n)) + (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * s) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * s) * ((s * n) ") is V1() V11() real ext-real positive non negative set
((n * n) / (s * n)) + ((s * s) / (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n ^2) + (s ^2) is V11() real ext-real set
((n ^2) + (s ^2)) / (s * n) is V11() real ext-real Element of COMPLEX
((n ^2) + (s ^2)) * ((s * n) ") is V11() real ext-real set
n is V11() real ext-real set
s is V11() real ext-real set
n * s is V11() real ext-real set
n + s is V11() real ext-real set
(n + s) / 2 is V11() real ext-real Element of COMPLEX
(n + s) * (2 ") is V11() real ext-real set
((n + s) / 2) ^2 is V11() real ext-real Element of COMPLEX
((n + s) / 2) * ((n + s) / 2) is V11() real ext-real set
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
(n - s) ^2 is V11() real ext-real set
(n - s) * (n - s) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
0 + ((2 * n) * s) is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
(n ^2) - ((2 * n) * s) is V11() real ext-real Element of REAL
- ((2 * n) * s) is V11() real ext-real set
(n ^2) + (- ((2 * n) * s)) is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
((n ^2) - ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) - ((2 * n) * s)) + (s ^2)) + ((2 * n) * s) is V11() real ext-real Element of REAL
((2 * n) * s) + ((2 * n) * s) is V11() real ext-real Element of REAL
(n ^2) + (s ^2) is V11() real ext-real set
((n ^2) + (s ^2)) + ((2 * n) * s) is V11() real ext-real Element of REAL
4 * (n * s) is V11() real ext-real Element of REAL
(4 * (n * s)) / 4 is V11() real ext-real Element of COMPLEX
4 " is V1() V11() real ext-real positive non negative set
(4 * (n * s)) * (4 ") is V11() real ext-real set
(n + s) ^2 is V11() real ext-real set
(n + s) * (n + s) is V11() real ext-real set
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) ^2) / (2 * 2) is V11() real ext-real Element of COMPLEX
(2 * 2) " is V1() V11() real ext-real positive non negative set
((n + s) ^2) * ((2 * 2) ") is V11() real ext-real set
n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
n + s is V11() real ext-real set
(n + s) / 2 is V11() real ext-real Element of COMPLEX
(n + s) * (2 ") is V11() real ext-real set
((n + s) / 2) ^2 is V11() real ext-real Element of COMPLEX
((n + s) / 2) * ((n + s) / 2) is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
((n ^2) + (s ^2)) / 2 is V11() real ext-real Element of COMPLEX
((n ^2) + (s ^2)) * (2 ") is V11() real ext-real set
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
(n - s) ^2 is V11() real ext-real set
(n - s) * (n - s) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
0 + ((2 * n) * s) is V11() real ext-real Element of REAL
(n ^2) - ((2 * n) * s) is V11() real ext-real Element of REAL
- ((2 * n) * s) is V11() real ext-real set
(n ^2) + (- ((2 * n) * s)) is V11() real ext-real set
((n ^2) - ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) - ((2 * n) * s)) + (s ^2)) + ((2 * n) * s) is V11() real ext-real Element of REAL
((2 * n) * s) + ((n ^2) + (s ^2)) is V11() real ext-real Element of REAL
((n ^2) + (s ^2)) + ((n ^2) + (s ^2)) is V11() real ext-real set
(n + s) ^2 is V11() real ext-real set
(n + s) * (n + s) is V11() real ext-real set
((n + s) ^2) / 4 is V11() real ext-real Element of COMPLEX
4 " is V1() V11() real ext-real positive non negative set
((n + s) ^2) * (4 ") is V11() real ext-real set
2 * ((n ^2) + (s ^2)) is V11() real ext-real Element of REAL
(2 * ((n ^2) + (s ^2))) / 4 is V11() real ext-real Element of COMPLEX
(2 * ((n ^2) + (s ^2))) * (4 ") is V11() real ext-real set
n is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
(2 * n) * s is V11() real ext-real Element of REAL
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
(n - s) ^2 is V11() real ext-real set
(n - s) * (n - s) is V11() real ext-real set
0 + ((2 * n) * s) is V11() real ext-real Element of REAL
(n ^2) - ((2 * n) * s) is V11() real ext-real Element of REAL
- ((2 * n) * s) is V11() real ext-real set
(n ^2) + (- ((2 * n) * s)) is V11() real ext-real set
((n ^2) - ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) - ((2 * n) * s)) + (s ^2)) + ((2 * n) * s) is V11() real ext-real Element of REAL
n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
n * s is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
((n ^2) + (s ^2)) / 2 is V11() real ext-real Element of COMPLEX
((n ^2) + (s ^2)) * (2 ") is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
((2 * n) * s) / 2 is V11() real ext-real Element of COMPLEX
((2 * n) * s) * (2 ") is V11() real ext-real set
n is V11() real ext-real set
abs n is V11() real ext-real non negative Element of REAL
2 * (abs n) is V11() real ext-real non negative Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
abs s is V11() real ext-real non negative Element of REAL
(2 * (abs n)) * (abs s) is V11() real ext-real non negative Element of REAL
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
(n ^2) * (s ^2) is V11() real ext-real set
sqrt ((n ^2) * (s ^2)) is V11() real ext-real set
2 * (sqrt ((n ^2) * (s ^2))) is V11() real ext-real Element of REAL
sqrt (n ^2) is V11() real ext-real set
sqrt (s ^2) is V11() real ext-real set
(sqrt (n ^2)) * (sqrt (s ^2)) is V11() real ext-real set
2 * ((sqrt (n ^2)) * (sqrt (s ^2))) is V11() real ext-real Element of REAL
(abs n) ^2 is V11() real ext-real Element of REAL
(abs n) * (abs n) is V11() real ext-real non negative set
sqrt ((abs n) ^2) is V11() real ext-real Element of REAL
(sqrt ((abs n) ^2)) * (sqrt (s ^2)) is V11() real ext-real Element of REAL
2 * ((sqrt ((abs n) ^2)) * (sqrt (s ^2))) is V11() real ext-real Element of REAL
(abs s) ^2 is V11() real ext-real Element of REAL
(abs s) * (abs s) is V11() real ext-real non negative set
sqrt ((abs s) ^2) is V11() real ext-real Element of REAL
(sqrt ((abs n) ^2)) * (sqrt ((abs s) ^2)) is V11() real ext-real Element of REAL
2 * ((sqrt ((abs n) ^2)) * (sqrt ((abs s) ^2))) is V11() real ext-real Element of REAL
(abs n) * (sqrt ((abs s) ^2)) is V11() real ext-real Element of REAL
2 * ((abs n) * (sqrt ((abs s) ^2))) is V11() real ext-real Element of REAL
(abs n) * (abs s) is V11() real ext-real non negative Element of REAL
2 * ((abs n) * (abs s)) is V11() real ext-real non negative Element of REAL
n is V11() real ext-real set
4 * n is V11() real ext-real Element of REAL
s is V11() real ext-real set
(4 * n) * s is V11() real ext-real Element of REAL
n + s is V11() real ext-real set
(n + s) ^2 is V11() real ext-real set
(n + s) * (n + s) is V11() real ext-real set
n * s is V11() real ext-real set
2 * (n * s) is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
((n ^2) + (s ^2)) / 2 is V11() real ext-real Element of COMPLEX
((n ^2) + (s ^2)) * (2 ") is V11() real ext-real set
2 * (((n ^2) + (s ^2)) / 2) is V11() real ext-real Element of REAL
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
((2 * n) * s) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n ^2) + (s ^2)) + ((2 * n) * s) is V11() real ext-real Element of REAL
n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
n * s is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
n is V11() real ext-real set
s * n is V11() real ext-real set
(n * s) + (s * n) is V11() real ext-real set
n * n is V11() real ext-real set
((n * s) + (s * n)) + (n * n) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
((n ^2) + (s ^2)) + (n ^2) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
2 * s is V11() real ext-real Element of REAL
(2 * s) * n is V11() real ext-real Element of REAL
(s ^2) + (n ^2) is V11() real ext-real set
((2 * n) * s) + ((2 * s) * n) is V11() real ext-real Element of REAL
((n ^2) + (s ^2)) + ((s ^2) + (n ^2)) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * n is V11() real ext-real Element of REAL
(n ^2) + (n ^2) is V11() real ext-real set
(((2 * n) * s) + ((2 * s) * n)) + ((2 * n) * n) is V11() real ext-real Element of REAL
(((n ^2) + (s ^2)) + ((s ^2) + (n ^2))) + ((n ^2) + (n ^2)) is V11() real ext-real set
n * n is V11() real ext-real set
((n * s) + (s * n)) + (n * n) is V11() real ext-real set
2 * (((n * s) + (s * n)) + (n * n)) is V11() real ext-real Element of REAL
(2 * (((n * s) + (s * n)) + (n * n))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (((n * s) + (s * n)) + (n * n))) * (2 ") is V11() real ext-real set
2 * (((n ^2) + (s ^2)) + (n ^2)) is V11() real ext-real Element of REAL
(2 * (((n ^2) + (s ^2)) + (n ^2))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (((n ^2) + (s ^2)) + (n ^2))) * (2 ") is V11() real ext-real set
n is V11() real ext-real set
s is V11() real ext-real set
n * s is V11() real ext-real set
n + s is V11() real ext-real set
n is V11() real ext-real set
s * n is V11() real ext-real set
(n * s) + (s * n) is V11() real ext-real set
n * n is V11() real ext-real set
((n * s) + (s * n)) + (n * n) is V11() real ext-real set
3 * (((n * s) + (s * n)) + (n * n)) is V11() real ext-real Element of REAL
(n + s) + n is V11() real ext-real set
((n + s) + n) ^2 is V11() real ext-real set
((n + s) + n) * ((n + s) + n) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
((n ^2) + (s ^2)) + (n ^2) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
2 * s is V11() real ext-real Element of REAL
(2 * s) * n is V11() real ext-real Element of REAL
((2 * n) * s) + ((2 * s) * n) is V11() real ext-real Element of REAL
2 * n is V11() real ext-real Element of REAL
(2 * n) * n is V11() real ext-real Element of REAL
(((2 * n) * s) + ((2 * s) * n)) + ((2 * n) * n) is V11() real ext-real Element of REAL
(((n * s) + (s * n)) + (n * n)) + ((((2 * n) * s) + ((2 * s) * n)) + ((2 * n) * n)) is V11() real ext-real Element of REAL
(((n ^2) + (s ^2)) + (n ^2)) + ((((2 * n) * s) + ((2 * s) * n)) + ((2 * n) * n)) is V11() real ext-real Element of REAL
n is V1() V11() real ext-real positive non negative set
3 * n is V1() V11() real ext-real positive non negative Element of REAL
n |^ 3 is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
(3 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
s |^ 3 is V11() real ext-real set
(n |^ 3) + (s |^ 3) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
((3 * n) * s) * n is V1() V11() real ext-real positive non negative Element of REAL
n |^ 3 is V11() real ext-real set
((n |^ 3) + (s |^ 3)) + (n |^ 3) is V11() real ext-real set
n + n is V1() V11() real ext-real positive non negative set
(n + n) |^ 3 is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
3 * (n ^2) is V11() real ext-real Element of REAL
(3 * (n ^2)) * n is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
(3 * n) * (n ^2) is V11() real ext-real Element of REAL
((3 * (n ^2)) * n) + ((3 * n) * (n ^2)) is V11() real ext-real Element of REAL
((n + n) |^ 3) - (((3 * (n ^2)) * n) + ((3 * n) * (n ^2))) is V11() real ext-real Element of REAL
- (((3 * (n ^2)) * n) + ((3 * n) * (n ^2))) is V11() real ext-real set
((n + n) |^ 3) + (- (((3 * (n ^2)) * n) + ((3 * n) * (n ^2)))) is V11() real ext-real set
(n |^ 3) + ((3 * (n ^2)) * n) is V11() real ext-real Element of REAL
((n |^ 3) + ((3 * (n ^2)) * n)) + ((3 * n) * (n ^2)) is V11() real ext-real Element of REAL
(((n |^ 3) + ((3 * (n ^2)) * n)) + ((3 * n) * (n ^2))) + (n |^ 3) is V11() real ext-real Element of REAL
((((n |^ 3) + ((3 * (n ^2)) * n)) + ((3 * n) * (n ^2))) + (n |^ 3)) - (((3 * (n ^2)) * n) + ((3 * n) * (n ^2))) is V11() real ext-real Element of REAL
((((n |^ 3) + ((3 * (n ^2)) * n)) + ((3 * n) * (n ^2))) + (n |^ 3)) + (- (((3 * (n ^2)) * n) + ((3 * n) * (n ^2)))) is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative Element of REAL
(2 * s) * n is V1() V11() real ext-real positive non negative Element of REAL
n * ((2 * s) * n) is V1() V11() real ext-real positive non negative Element of REAL
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
(s ^2) + (n ^2) is V11() real ext-real set
n * ((s ^2) + (n ^2)) is V11() real ext-real set
2 * n is V1() V11() real ext-real positive non negative Element of REAL
(2 * n) * n is V1() V11() real ext-real positive non negative Element of REAL
s * ((2 * n) * n) is V1() V11() real ext-real positive non negative Element of REAL
(n ^2) + (n ^2) is V11() real ext-real set
s * ((n ^2) + (n ^2)) is V11() real ext-real set
(2 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
((2 * n) * s) * n is V1() V11() real ext-real positive non negative Element of REAL
(((2 * n) * s) * n) + (((2 * n) * s) * n) is V1() V11() real ext-real positive non negative Element of REAL
(s * ((n ^2) + (n ^2))) + (n * ((s ^2) + (n ^2))) is V11() real ext-real set
4 * n is V1() V11() real ext-real positive non negative Element of REAL
(4 * n) * n is V1() V11() real ext-real positive non negative Element of REAL
((4 * n) * n) * (n + n) is V1() V11() real ext-real positive non negative Element of REAL
(n + n) ^2 is V11() real ext-real set
(n + n) * (n + n) is V1() V11() real ext-real positive non negative set
((n + n) ^2) * (n + n) is V11() real ext-real set
(n + n) |^ 2 is V11() real ext-real set
((n + n) |^ 2) * (n + n) is V11() real ext-real set
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n + n) |^ (2 + 1) is V11() real ext-real set
4 * s is V1() V11() real ext-real positive non negative Element of REAL
(4 * s) * n is V1() V11() real ext-real positive non negative Element of REAL
s + n is V1() V11() real ext-real positive non negative set
((4 * s) * n) * (s + n) is V1() V11() real ext-real positive non negative Element of REAL
(s + n) ^2 is V11() real ext-real set
(s + n) * (s + n) is V1() V11() real ext-real positive non negative set
((s + n) ^2) * (s + n) is V11() real ext-real set
(s + n) |^ 2 is V11() real ext-real set
((s + n) |^ 2) * (s + n) is V11() real ext-real set
(s + n) |^ (2 + 1) is V11() real ext-real set
(4 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
n + s is V1() V11() real ext-real positive non negative set
((4 * n) * s) * (n + s) is V1() V11() real ext-real positive non negative Element of REAL
(n + s) ^2 is V11() real ext-real set
(n + s) * (n + s) is V1() V11() real ext-real positive non negative set
((n + s) ^2) * (n + s) is V11() real ext-real set
(n + s) |^ 2 is V11() real ext-real set
((n + s) |^ 2) * (n + s) is V11() real ext-real set
(n + s) |^ (2 + 1) is V11() real ext-real set
4 * (n ^2) is V11() real ext-real Element of REAL
(4 * (n ^2)) * s is V11() real ext-real Element of REAL
(4 * n) * (s ^2) is V11() real ext-real Element of REAL
((4 * (n ^2)) * s) + ((4 * n) * (s ^2)) is V11() real ext-real Element of REAL
4 * (s ^2) is V11() real ext-real Element of REAL
(4 * (s ^2)) * n is V11() real ext-real Element of REAL
(4 * s) * (n ^2) is V11() real ext-real Element of REAL
((4 * (s ^2)) * n) + ((4 * s) * (n ^2)) is V11() real ext-real Element of REAL
(((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + (((4 * (s ^2)) * n) + ((4 * s) * (n ^2))) is V11() real ext-real Element of REAL
(n + s) |^ 3 is V11() real ext-real set
(s + n) |^ 3 is V11() real ext-real set
((n + s) |^ 3) + ((s + n) |^ 3) is V11() real ext-real set
(((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + ((4 * (s ^2)) * n) is V11() real ext-real Element of REAL
((((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + ((4 * (s ^2)) * n)) + ((4 * s) * (n ^2)) is V11() real ext-real Element of REAL
(4 * (n ^2)) * n is V11() real ext-real Element of REAL
(4 * n) * (n ^2) is V11() real ext-real Element of REAL
((4 * (n ^2)) * n) + ((4 * n) * (n ^2)) is V11() real ext-real Element of REAL
(((((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + ((4 * (s ^2)) * n)) + ((4 * s) * (n ^2))) + (((4 * (n ^2)) * n) + ((4 * n) * (n ^2))) is V11() real ext-real Element of REAL
(((n + s) |^ 3) + ((s + n) |^ 3)) + ((n + n) |^ 3) is V11() real ext-real set
(((((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + ((4 * (s ^2)) * n)) + ((4 * s) * (n ^2))) + ((4 * (n ^2)) * n) is V11() real ext-real Element of REAL
((((((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + ((4 * (s ^2)) * n)) + ((4 * s) * (n ^2))) + ((4 * (n ^2)) * n)) + ((4 * n) * (n ^2)) is V11() real ext-real Element of REAL
(3 * (n ^2)) * s is V11() real ext-real Element of REAL
- ((3 * (n ^2)) * s) is V11() real ext-real Element of REAL
(3 * n) * (s ^2) is V11() real ext-real Element of REAL
(- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2)) is V11() real ext-real Element of REAL
- ((3 * n) * (s ^2)) is V11() real ext-real set
(- ((3 * (n ^2)) * s)) + (- ((3 * n) * (s ^2))) is V11() real ext-real set
3 * (s ^2) is V11() real ext-real Element of REAL
(3 * (s ^2)) * n is V11() real ext-real Element of REAL
((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n) is V11() real ext-real Element of REAL
- ((3 * (s ^2)) * n) is V11() real ext-real set
((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) + (- ((3 * (s ^2)) * n)) is V11() real ext-real set
3 * s is V1() V11() real ext-real positive non negative Element of REAL
(3 * s) * (n ^2) is V11() real ext-real Element of REAL
(((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2)) is V11() real ext-real Element of REAL
- ((3 * s) * (n ^2)) is V11() real ext-real set
(((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) + (- ((3 * s) * (n ^2))) is V11() real ext-real set
((((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2))) - ((3 * (n ^2)) * n) is V11() real ext-real Element of REAL
- ((3 * (n ^2)) * n) is V11() real ext-real set
((((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2))) + (- ((3 * (n ^2)) * n)) is V11() real ext-real set
(((((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2))) - ((3 * (n ^2)) * n)) - ((3 * n) * (n ^2)) is V11() real ext-real Element of REAL
- ((3 * n) * (n ^2)) is V11() real ext-real set
(((((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2))) - ((3 * (n ^2)) * n)) + (- ((3 * n) * (n ^2))) is V11() real ext-real set
(((((((4 * (n ^2)) * s) + ((4 * n) * (s ^2))) + ((4 * (s ^2)) * n)) + ((4 * s) * (n ^2))) + ((4 * (n ^2)) * n)) + ((4 * n) * (n ^2))) + ((((((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2))) - ((3 * (n ^2)) * n)) - ((3 * n) * (n ^2))) is V11() real ext-real Element of REAL
((((n + s) |^ 3) + ((s + n) |^ 3)) + ((n + n) |^ 3)) + ((((((- ((3 * (n ^2)) * s)) - ((3 * n) * (s ^2))) - ((3 * (s ^2)) * n)) - ((3 * s) * (n ^2))) - ((3 * (n ^2)) * n)) - ((3 * n) * (n ^2))) is V11() real ext-real Element of REAL
(n ^2) + (s ^2) is V11() real ext-real set
n * ((n ^2) + (s ^2)) is V11() real ext-real set
((4 * n) * s) * n is V1() V11() real ext-real positive non negative Element of REAL
(((4 * n) * s) * n) + (((2 * n) * s) * n) is V1() V11() real ext-real positive non negative Element of REAL
((s * ((n ^2) + (n ^2))) + (n * ((s ^2) + (n ^2)))) + (n * ((n ^2) + (s ^2))) is V11() real ext-real set
((3 * (n ^2)) * s) + ((3 * n) * (s ^2)) is V11() real ext-real Element of REAL
((n + s) |^ 3) - (((3 * (n ^2)) * s) + ((3 * n) * (s ^2))) is V11() real ext-real Element of REAL
- (((3 * (n ^2)) * s) + ((3 * n) * (s ^2))) is V11() real ext-real set
((n + s) |^ 3) + (- (((3 * (n ^2)) * s) + ((3 * n) * (s ^2)))) is V11() real ext-real set
(n |^ 3) + ((3 * (n ^2)) * s) is V11() real ext-real Element of REAL
((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2)) is V11() real ext-real Element of REAL
(((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2))) + (s |^ 3) is V11() real ext-real Element of REAL
((((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2))) + (s |^ 3)) - (((3 * (n ^2)) * s) + ((3 * n) * (s ^2))) is V11() real ext-real Element of REAL
((((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2))) + (s |^ 3)) + (- (((3 * (n ^2)) * s) + ((3 * n) * (s ^2)))) is V11() real ext-real set
((3 * (s ^2)) * n) + ((3 * s) * (n ^2)) is V11() real ext-real Element of REAL
((s + n) |^ 3) - (((3 * (s ^2)) * n) + ((3 * s) * (n ^2))) is V11() real ext-real Element of REAL
- (((3 * (s ^2)) * n) + ((3 * s) * (n ^2))) is V11() real ext-real set
((s + n) |^ 3) + (- (((3 * (s ^2)) * n) + ((3 * s) * (n ^2)))) is V11() real ext-real set
(s |^ 3) + ((3 * (s ^2)) * n) is V11() real ext-real Element of REAL
((s |^ 3) + ((3 * (s ^2)) * n)) + ((3 * s) * (n ^2)) is V11() real ext-real Element of REAL
(((s |^ 3) + ((3 * (s ^2)) * n)) + ((3 * s) * (n ^2))) + (n |^ 3) is V11() real ext-real Element of REAL
((((s |^ 3) + ((3 * (s ^2)) * n)) + ((3 * s) * (n ^2))) + (n |^ 3)) - (((3 * (s ^2)) * n) + ((3 * s) * (n ^2))) is V11() real ext-real Element of REAL
((((s |^ 3) + ((3 * (s ^2)) * n)) + ((3 * s) * (n ^2))) + (n |^ 3)) + (- (((3 * (s ^2)) * n) + ((3 * s) * (n ^2)))) is V11() real ext-real set
6 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * n is V1() V11() real ext-real positive non negative Element of REAL
(6 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
((6 * n) * s) * n is V1() V11() real ext-real positive non negative Element of REAL
2 * (((n |^ 3) + (s |^ 3)) + (n |^ 3)) is V11() real ext-real Element of REAL
(((6 * n) * s) * n) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
(((6 * n) * s) * n) * (2 ") is V1() V11() real ext-real positive non negative set
(2 * (((n |^ 3) + (s |^ 3)) + (n |^ 3))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (((n |^ 3) + (s |^ 3)) + (n |^ 3))) * (2 ") is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
n |^ 3 is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
s |^ 3 is V11() real ext-real set
(n |^ 3) + (s |^ 3) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
(n * s) * n is V1() V11() real ext-real positive non negative set
n |^ 3 is V11() real ext-real set
((n |^ 3) + (s |^ 3)) + (n |^ 3) is V11() real ext-real set
(((n |^ 3) + (s |^ 3)) + (n |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
3 " is V1() V11() real ext-real positive non negative set
(((n |^ 3) + (s |^ 3)) + (n |^ 3)) * (3 ") is V11() real ext-real set
3 * n is V1() V11() real ext-real positive non negative Element of REAL
(3 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
((3 * n) * s) * n is V1() V11() real ext-real positive non negative Element of REAL
(((3 * n) * s) * n) / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
(((3 * n) * s) * n) * (3 ") is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
s * (n ") is V1() V11() real ext-real positive non negative set
n / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s " is V1() V11() real ext-real positive non negative set
n * (s ") is V1() V11() real ext-real positive non negative set
(n / s) |^ 3 is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
n / s is V1() V11() real ext-real positive non negative Element of COMPLEX
n * (s ") is V1() V11() real ext-real positive non negative set
(s / n) + (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
n * (n ") is V1() V11() real ext-real positive non negative set
((s / n) + (n / s)) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
s * (n ") is V1() V11() real ext-real positive non negative set
(s / n) |^ 3 is V11() real ext-real set
((n / s) |^ 3) + ((s / n) |^ 3) is V11() real ext-real set
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n * (n ") is V1() V11() real ext-real positive non negative set
(n / n) |^ 3 is V11() real ext-real set
(((n / s) |^ 3) + ((s / n) |^ 3)) + ((n / n) |^ 3) is V11() real ext-real set
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n * (n ") is V1() V11() real ext-real positive non negative set
(n / n) * 1 is V1() V11() real ext-real positive non negative Element of REAL
((n / n) * 1) * 1 is V1() V11() real ext-real positive non negative Element of REAL
s / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s * (s ") is V1() V11() real ext-real positive non negative set
(n / n) * (s / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n / n) * (s / s)) * 1 is V1() V11() real ext-real positive non negative Element of REAL
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n * (n ") is V1() V11() real ext-real positive non negative set
((n / n) * (s / s)) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) * (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n / s) * (s / n)) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / n) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) * ((s / n) * (n / n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / n) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) * ((s / n) * (n / n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) * (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n / s) * (s / n)) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) * 1 is V1() V11() real ext-real positive non negative Element of REAL
(n / s) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) * (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n / s) * (n / n)) * 1 is V1() V11() real ext-real positive non negative Element of REAL
((n / s) |^ 3) + ((n / n) |^ 3) is V11() real ext-real set
(((n / s) |^ 3) + ((n / n) |^ 3)) + (1 |^ 3) is V11() real ext-real Element of REAL
((((n / s) |^ 3) + ((n / n) |^ 3)) + (1 |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
3 " is V1() V11() real ext-real positive non negative set
((((n / s) |^ 3) + ((n / n) |^ 3)) + (1 |^ 3)) * (3 ") is V11() real ext-real set
(n / n) * 1 is V1() V11() real ext-real positive non negative Element of REAL
(n / n) * (s / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n / s) * (s / n)) * 1 is V1() V11() real ext-real positive non negative Element of REAL
(((n / s) |^ 3) + ((s / n) |^ 3)) + (1 |^ 3) is V11() real ext-real Element of REAL
((((n / s) |^ 3) + ((s / n) |^ 3)) + (1 |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
((((n / s) |^ 3) + ((s / n) |^ 3)) + (1 |^ 3)) * (3 ") is V11() real ext-real set
(s / n) * 1 is V1() V11() real ext-real positive non negative Element of REAL
((s / n) * (n / n)) * 1 is V1() V11() real ext-real positive non negative Element of REAL
((s / n) |^ 3) + ((n / n) |^ 3) is V11() real ext-real set
(((s / n) |^ 3) + ((n / n) |^ 3)) + (1 |^ 3) is V11() real ext-real Element of REAL
((((s / n) |^ 3) + ((n / n) |^ 3)) + (1 |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
((((s / n) |^ 3) + ((n / n) |^ 3)) + (1 |^ 3)) * (3 ") is V11() real ext-real set
((s / n) |^ 3) / 3 is V11() real ext-real Element of COMPLEX
((s / n) |^ 3) * (3 ") is V11() real ext-real set
((n / n) |^ 3) / 3 is V11() real ext-real Element of COMPLEX
((n / n) |^ 3) * (3 ") is V11() real ext-real set
(((s / n) |^ 3) / 3) + (((n / n) |^ 3) / 3) is V11() real ext-real Element of COMPLEX
1 / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
1 * (3 ") is V1() V11() real ext-real positive non negative set
((((s / n) |^ 3) / 3) + (((n / n) |^ 3) / 3)) + (1 / 3) is V11() real ext-real Element of COMPLEX
((n / s) |^ 3) / 3 is V11() real ext-real Element of COMPLEX
((n / s) |^ 3) * (3 ") is V11() real ext-real set
(((n / s) |^ 3) / 3) + (((n / n) |^ 3) / 3) is V11() real ext-real Element of COMPLEX
((((n / s) |^ 3) / 3) + (((n / n) |^ 3) / 3)) + (1 / 3) is V11() real ext-real Element of COMPLEX
(((((s / n) |^ 3) / 3) + (((n / n) |^ 3) / 3)) + (1 / 3)) + (((((n / s) |^ 3) / 3) + (((n / n) |^ 3) / 3)) + (1 / 3)) is V11() real ext-real Element of COMPLEX
(((s / n) |^ 3) / 3) + (((n / s) |^ 3) / 3) is V11() real ext-real Element of COMPLEX
2 * ((n / n) |^ 3) is V11() real ext-real Element of REAL
(2 * ((n / n) |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
(2 * ((n / n) |^ 3)) * (3 ") is V11() real ext-real set
((((s / n) |^ 3) / 3) + (((n / s) |^ 3) / 3)) + ((2 * ((n / n) |^ 3)) / 3) is V11() real ext-real Element of COMPLEX
2 / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (3 ") is V1() V11() real ext-real positive non negative set
(((((s / n) |^ 3) / 3) + (((n / s) |^ 3) / 3)) + ((2 * ((n / n) |^ 3)) / 3)) + (2 / 3) is V11() real ext-real Element of COMPLEX
(((n / s) |^ 3) / 3) + (((s / n) |^ 3) / 3) is V11() real ext-real Element of COMPLEX
((((n / s) |^ 3) / 3) + (((s / n) |^ 3) / 3)) + (1 / 3) is V11() real ext-real Element of COMPLEX
((((((s / n) |^ 3) / 3) + (((n / s) |^ 3) / 3)) + ((2 * ((n / n) |^ 3)) / 3)) + (2 / 3)) + (((((n / s) |^ 3) / 3) + (((s / n) |^ 3) / 3)) + (1 / 3)) is V11() real ext-real Element of COMPLEX
((((n / s) |^ 3) + ((s / n) |^ 3)) + ((n / n) |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
((((n / s) |^ 3) + ((s / n) |^ 3)) + ((n / n) |^ 3)) * (3 ") is V11() real ext-real set
(((s / n) + (n / s)) + (n / n)) + 1 is V1() V11() real ext-real positive non negative Element of REAL
2 * ((s / n) |^ 3) is V11() real ext-real Element of REAL
(2 * ((s / n) |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
(2 * ((s / n) |^ 3)) * (3 ") is V11() real ext-real set
2 * ((n / s) |^ 3) is V11() real ext-real Element of REAL
(2 * ((n / s) |^ 3)) / 3 is V11() real ext-real Element of COMPLEX
(2 * ((n / s) |^ 3)) * (3 ") is V11() real ext-real set
((2 * ((s / n) |^ 3)) / 3) + ((2 * ((n / s) |^ 3)) / 3) is V11() real ext-real Element of COMPLEX
(((2 * ((s / n) |^ 3)) / 3) + ((2 * ((n / s) |^ 3)) / 3)) + ((2 * ((n / n) |^ 3)) / 3) is V11() real ext-real Element of COMPLEX
((((2 * ((s / n) |^ 3)) / 3) + ((2 * ((n / s) |^ 3)) / 3)) + ((2 * ((n / n) |^ 3)) / 3)) + 1 is V11() real ext-real Element of REAL
((((n / s) |^ 3) / 3) + (((s / n) |^ 3) / 3)) + (((n / n) |^ 3) / 3) is V11() real ext-real Element of COMPLEX
(((((2 * ((s / n) |^ 3)) / 3) + ((2 * ((n / s) |^ 3)) / 3)) + ((2 * ((n / n) |^ 3)) / 3)) + 1) + (((((n / s) |^ 3) / 3) + (((s / n) |^ 3) / 3)) + (((n / n) |^ 3) / 3)) is V11() real ext-real Element of REAL
((((s / n) + (n / s)) + (n / n)) + 1) - 1 is V11() real ext-real Element of REAL
- 1 is V1() V11() real ext-real non positive negative set
((((s / n) + (n / s)) + (n / n)) + 1) + (- 1) is V11() real ext-real set
((s / n) |^ 3) + ((n / s) |^ 3) is V11() real ext-real set
(((s / n) |^ 3) + ((n / s) |^ 3)) + ((n / n) |^ 3) is V11() real ext-real set
((((s / n) |^ 3) + ((n / s) |^ 3)) + ((n / n) |^ 3)) + 1 is V11() real ext-real Element of REAL
(((((s / n) |^ 3) + ((n / s) |^ 3)) + ((n / n) |^ 3)) + 1) - 1 is V11() real ext-real Element of REAL
(((((s / n) |^ 3) + ((n / s) |^ 3)) + ((n / n) |^ 3)) + 1) + (- 1) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(n * s) * n is V1() V11() real ext-real positive non negative set
3 -root ((n * s) * n) is V11() real ext-real set
3 * (3 -root ((n * s) * n)) is V11() real ext-real Element of REAL
(n + s) + n is V1() V11() real ext-real positive non negative set
3 -Root n is V11() real ext-real set
3 -Root n is V11() real ext-real set
3 -Root s is V11() real ext-real set
3 * (3 -Root n) is V11() real ext-real Element of REAL
(3 * (3 -Root n)) * (3 -Root s) is V11() real ext-real Element of REAL
((3 * (3 -Root n)) * (3 -Root s)) * (3 -Root n) is V11() real ext-real Element of REAL
(3 -Root n) |^ 3 is V11() real ext-real set
(3 -Root s) |^ 3 is V11() real ext-real set
((3 -Root n) |^ 3) + ((3 -Root s) |^ 3) is V11() real ext-real set
(3 -Root n) |^ 3 is V11() real ext-real set
(((3 -Root n) |^ 3) + ((3 -Root s) |^ 3)) + ((3 -Root n) |^ 3) is V11() real ext-real set
n + ((3 -Root s) |^ 3) is V11() real ext-real set
(n + ((3 -Root s) |^ 3)) + ((3 -Root n) |^ 3) is V11() real ext-real set
(n + s) + ((3 -Root n) |^ 3) is V11() real ext-real set
(3 -Root n) * (3 -Root s) is V11() real ext-real set
3 * ((3 -Root n) * (3 -Root s)) is V11() real ext-real Element of REAL
(3 * ((3 -Root n) * (3 -Root s))) * (3 -Root n) is V11() real ext-real Element of REAL
3 -Root (n * s) is V11() real ext-real set
3 * (3 -Root (n * s)) is V11() real ext-real Element of REAL
(3 * (3 -Root (n * s))) * (3 -Root n) is V11() real ext-real Element of REAL
(3 -Root (n * s)) * (3 -Root n) is V11() real ext-real set
3 * ((3 -Root (n * s)) * (3 -Root n)) is V11() real ext-real Element of REAL
3 -Root ((n * s) * n) is V11() real ext-real set
3 * (3 -Root ((n * s) * n)) is V11() real ext-real Element of REAL
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(n * s) * n is V1() V11() real ext-real positive non negative set
3 -root ((n * s) * n) is V11() real ext-real set
(n + s) + n is V1() V11() real ext-real positive non negative set
((n + s) + n) / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
3 " is V1() V11() real ext-real positive non negative set
((n + s) + n) * (3 ") is V1() V11() real ext-real positive non negative set
3 * (3 -root ((n * s) * n)) is V11() real ext-real Element of REAL
(3 * (3 -root ((n * s) * n))) / 3 is V11() real ext-real Element of COMPLEX
(3 * (3 -root ((n * s) * n))) * (3 ") is V11() real ext-real set
1 / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
3 " is V1() V11() real ext-real positive non negative set
1 * (3 ") is V1() V11() real ext-real positive non negative set
n is V11() real ext-real set
s is V11() real ext-real set
n + s is V11() real ext-real set
n * s is V11() real ext-real set
n is V11() real ext-real set
(n + s) + n is V11() real ext-real set
s * n is V11() real ext-real set
(n * s) + (s * n) is V11() real ext-real set
n * n is V11() real ext-real set
((n * s) + (s * n)) + (n * n) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
(2 * n) * n is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
(n ^2) + (n ^2) is V11() real ext-real set
((2 * n) * s) + ((2 * n) * n) is V11() real ext-real Element of REAL
((n ^2) + (s ^2)) + ((n ^2) + (n ^2)) is V11() real ext-real set
2 * s is V11() real ext-real Element of REAL
(2 * s) * n is V11() real ext-real Element of REAL
(s ^2) + (n ^2) is V11() real ext-real set
(((2 * n) * s) + ((2 * n) * n)) + ((2 * s) * n) is V11() real ext-real Element of REAL
((n ^2) + (s ^2)) + (n ^2) is V11() real ext-real set
(((n ^2) + (s ^2)) + (n ^2)) + (n ^2) is V11() real ext-real set
((((n ^2) + (s ^2)) + (n ^2)) + (n ^2)) + ((s ^2) + (n ^2)) is V11() real ext-real set
(n * s) + (n * n) is V11() real ext-real set
((n * s) + (n * n)) + (s * n) is V11() real ext-real set
2 * (((n * s) + (n * n)) + (s * n)) is V11() real ext-real Element of REAL
(2 * (((n * s) + (n * n)) + (s * n))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (((n * s) + (n * n)) + (s * n))) * (2 ") is V11() real ext-real set
((n ^2) + (s ^2)) + (n ^2) is V11() real ext-real set
2 * (((n ^2) + (s ^2)) + (n ^2)) is V11() real ext-real Element of REAL
(2 * (((n ^2) + (s ^2)) + (n ^2))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (((n ^2) + (s ^2)) + (n ^2))) * (2 ") is V11() real ext-real set
(n * n) + (s * n) is V11() real ext-real set
((n * n) + (s * n)) + (n * s) is V11() real ext-real set
2 * (((n * n) + (s * n)) + (n * s)) is V11() real ext-real Element of REAL
(((n * s) + (n * n)) + (s * n)) + (2 * (((n * n) + (s * n)) + (n * s))) is V11() real ext-real Element of REAL
(((n ^2) + (s ^2)) + (n ^2)) + (2 * (((n * n) + (s * n)) + (n * s))) is V11() real ext-real Element of REAL
1 ^2 is V11() real ext-real Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative set
(n + s) ^2 is V11() real ext-real set
(n + s) * (n + s) is V11() real ext-real set
2 * (n + s) is V11() real ext-real Element of REAL
(2 * (n + s)) * n is V11() real ext-real Element of REAL
((n + s) ^2) + ((2 * (n + s)) * n) is V11() real ext-real Element of REAL
(((n + s) ^2) + ((2 * (n + s)) * n)) + (n ^2) is V11() real ext-real Element of REAL
3 * (((n * n) + (s * n)) + (n * s)) is V11() real ext-real Element of REAL
(3 * (((n * n) + (s * n)) + (n * s))) / 3 is V11() real ext-real Element of COMPLEX
(3 * (((n * n) + (s * n)) + (n * s))) * (3 ") is V11() real ext-real set
1 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
4 " is V1() V11() real ext-real positive non negative set
1 * (4 ") is V1() V11() real ext-real positive non negative set
n is V11() real ext-real set
s is V11() real ext-real set
n + s is V11() real ext-real set
n * s is V11() real ext-real set
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
(n - s) ^2 is V11() real ext-real set
(n - s) * (n - s) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
(n ^2) + ((2 * n) * s) is V11() real ext-real Element of REAL
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
((n ^2) + ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
0 - (((n ^2) + ((2 * n) * s)) + (s ^2)) is V11() real ext-real Element of REAL
- (((n ^2) + ((2 * n) * s)) + (s ^2)) is V11() real ext-real set
0 + (- (((n ^2) + ((2 * n) * s)) + (s ^2))) is V11() real ext-real set
(n ^2) - ((2 * n) * s) is V11() real ext-real Element of REAL
- ((2 * n) * s) is V11() real ext-real set
(n ^2) + (- ((2 * n) * s)) is V11() real ext-real set
((n ^2) - ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) - ((2 * n) * s)) + (s ^2)) - (((n ^2) + ((2 * n) * s)) + (s ^2)) is V11() real ext-real Element of REAL
(((n ^2) - ((2 * n) * s)) + (s ^2)) + (- (((n ^2) + ((2 * n) * s)) + (s ^2))) is V11() real ext-real set
1 ^2 is V11() real ext-real Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative set
- 1 is V1() V11() real ext-real non positive negative Element of REAL
4 * n is V11() real ext-real Element of REAL
(4 * n) * s is V11() real ext-real Element of REAL
- ((4 * n) * s) is V11() real ext-real Element of REAL
4 * (n * s) is V11() real ext-real Element of REAL
(4 * (n * s)) / 4 is V11() real ext-real Element of COMPLEX
(4 * (n * s)) * (4 ") is V11() real ext-real set
1 / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s is V11() real ext-real set
n + s is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) + (s ^2) is V11() real ext-real set
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
(n - s) ^2 is V11() real ext-real set
(n - s) * (n - s) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
(n ^2) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n ^2) + ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
0 + (((n ^2) + ((2 * n) * s)) + (s ^2)) is V11() real ext-real Element of REAL
(n ^2) - ((2 * n) * s) is V11() real ext-real Element of REAL
- ((2 * n) * s) is V11() real ext-real set
(n ^2) + (- ((2 * n) * s)) is V11() real ext-real set
((n ^2) - ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) - ((2 * n) * s)) + (s ^2)) + (((n ^2) + ((2 * n) * s)) + (s ^2)) is V11() real ext-real Element of REAL
1 ^2 is V11() real ext-real Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative set
2 * ((n ^2) + (s ^2)) is V11() real ext-real Element of REAL
(2 * ((n ^2) + (s ^2))) / 2 is V11() real ext-real Element of COMPLEX
(2 * ((n ^2) + (s ^2))) * (2 ") is V11() real ext-real set
9 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n is V1() V11() real ext-real positive non negative set
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
1 * (n ") is V1() V11() real ext-real positive non negative set
1 + (1 / n) is V1() V11() real ext-real positive non negative Element of REAL
s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
1 / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s " is V1() V11() real ext-real positive non negative set
1 * (s ") is V1() V11() real ext-real positive non negative set
1 + (1 / s) is V1() V11() real ext-real positive non negative Element of REAL
(1 + (1 / n)) * (1 + (1 / s)) is V1() V11() real ext-real positive non negative Element of REAL
1 / (1 / 4) is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 / 4) " is V1() V11() real ext-real positive non negative set
1 * ((1 / 4) ") is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
1 / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * s) " is V1() V11() real ext-real positive non negative set
1 * ((n * s) ") is V1() V11() real ext-real positive non negative set
- 2 is V1() V11() real ext-real non positive negative Element of REAL
(1 / (n * s)) * (- 2) is V1() V11() real ext-real non positive negative Element of REAL
4 * (- 2) is V1() V11() real ext-real non positive negative Element of REAL
(1 / (n * s)) * 2 is V1() V11() real ext-real positive non negative Element of REAL
- ((1 / (n * s)) * 2) is V1() V11() real ext-real non positive negative Element of REAL
- 8 is V1() V11() real ext-real non positive negative Element of REAL
1 + 8 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (1 / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
1 + (2 * (1 / (n * s))) is V1() V11() real ext-real positive non negative Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 / s) is V1() V11() real ext-real positive non negative Element of REAL
(1 * 1) + (1 * (1 / s)) is V1() V11() real ext-real positive non negative Element of REAL
(1 / n) * (1 / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 * 1) + (1 * (1 / s))) + ((1 / n) * (1 / s)) is V1() V11() real ext-real positive non negative Element of REAL
(1 / n) * 1 is V1() V11() real ext-real positive non negative Element of REAL
(((1 * 1) + (1 * (1 / s))) + ((1 / n) * (1 / s))) + ((1 / n) * 1) is V1() V11() real ext-real positive non negative Element of REAL
(1 + (1 / s)) + (1 / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
((1 + (1 / s)) + (1 / (n * s))) + (1 / n) is V1() V11() real ext-real positive non negative Element of REAL
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + ((1 / s) + (1 / n)) is V1() V11() real ext-real positive non negative Element of REAL
(1 + ((1 / s) + (1 / n))) + (1 / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
1 * n is V1() V11() real ext-real positive non negative Element of REAL
s * 1 is V1() V11() real ext-real positive non negative Element of REAL
(1 * n) + (s * 1) is V1() V11() real ext-real positive non negative Element of REAL
((1 * n) + (s * 1)) / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 * n) + (s * 1)) * ((n * s) ") is V1() V11() real ext-real positive non negative set
1 + (((1 * n) + (s * 1)) / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
(1 + (((1 * n) + (s * 1)) / (n * s))) + (1 / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
1 + (1 / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
(1 + (1 / (n * s))) + (1 / (n * s)) is V1() V11() real ext-real positive non negative Element of REAL
n is V11() real ext-real set
n |^ 3 is V11() real ext-real set
s is V11() real ext-real set
n + s is V11() real ext-real set
s |^ 3 is V11() real ext-real set
(n |^ 3) + (s |^ 3) is V11() real ext-real set
- 3 is V1() V11() real ext-real non positive negative Element of REAL
(1 / 4) * (- 3) is V1() V11() real ext-real non positive negative Element of REAL
n * s is V11() real ext-real set
(n * s) * (- 3) is V11() real ext-real Element of REAL
((1 / 4) * (- 3)) + 1 is V11() real ext-real Element of REAL
1 + ((n * s) * (- 3)) is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
(n ^2) - (n * s) is V11() real ext-real set
- (n * s) is V11() real ext-real set
(n ^2) + (- (n * s)) is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
((n ^2) - (n * s)) + (s ^2) is V11() real ext-real set
(n + s) * (((n ^2) - (n * s)) + (s ^2)) is V11() real ext-real set
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
(n ^2) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n ^2) + ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
3 * n is V11() real ext-real Element of REAL
(3 * n) * s is V11() real ext-real Element of REAL
(((n ^2) + ((2 * n) * s)) + (s ^2)) - ((3 * n) * s) is V11() real ext-real Element of REAL
- ((3 * n) * s) is V11() real ext-real set
(((n ^2) + ((2 * n) * s)) + (s ^2)) + (- ((3 * n) * s)) is V11() real ext-real set
1 ^2 is V11() real ext-real Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative set
3 * (n * s) is V11() real ext-real Element of REAL
(1 ^2) - (3 * (n * s)) is V11() real ext-real Element of REAL
- (3 * (n * s)) is V11() real ext-real set
(1 ^2) + (- (3 * (n * s))) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
n |^ 3 is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
s |^ 3 is V11() real ext-real set
(n |^ 3) + (s |^ 3) is V11() real ext-real set
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n * s is V1() V11() real ext-real positive non negative set
- 3 is V1() V11() real ext-real non positive negative Element of REAL
(n * s) * (- 3) is V1() V11() real ext-real non positive negative Element of REAL
1 + ((n * s) * (- 3)) is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
(n ^2) - (n * s) is V11() real ext-real set
- (n * s) is V1() V11() real ext-real non positive negative set
(n ^2) + (- (n * s)) is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
((n ^2) - (n * s)) + (s ^2) is V11() real ext-real set
(n + s) * (((n ^2) - (n * s)) + (s ^2)) is V11() real ext-real set
2 * n is V1() V11() real ext-real positive non negative Element of REAL
(2 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
(n ^2) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n ^2) + ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
3 * n is V1() V11() real ext-real positive non negative Element of REAL
(3 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
(((n ^2) + ((2 * n) * s)) + (s ^2)) - ((3 * n) * s) is V11() real ext-real Element of REAL
- ((3 * n) * s) is V1() V11() real ext-real non positive negative set
(((n ^2) + ((2 * n) * s)) + (s ^2)) + (- ((3 * n) * s)) is V11() real ext-real set
1 ^2 is V11() real ext-real Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative set
3 * (n * s) is V1() V11() real ext-real positive non negative Element of REAL
(1 ^2) - (3 * (n * s)) is V11() real ext-real Element of REAL
- (3 * (n * s)) is V1() V11() real ext-real non positive negative set
(1 ^2) + (- (3 * (n * s))) is V11() real ext-real set
25 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
25 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
25 * (4 ") is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
1 * (n ") is V1() V11() real ext-real positive non negative set
n + (1 / n) is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
1 / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s " is V1() V11() real ext-real positive non negative set
1 * (s ") is V1() V11() real ext-real positive non negative set
s + (1 / s) is V1() V11() real ext-real positive non negative set
(n + (1 / n)) * (s + (1 / s)) is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
(1 / 2) ^2 is V11() real ext-real Element of COMPLEX
(1 / 2) * (1 / 2) is V1() V11() real ext-real positive non negative set
1 - (1 / 4) is V11() real ext-real Element of REAL
- (1 / 4) is V1() V11() real ext-real non positive negative set
1 + (- (1 / 4)) is V11() real ext-real set
1 - (n * s) is V11() real ext-real Element of REAL
- (n * s) is V1() V11() real ext-real non positive negative set
1 + (- (n * s)) is V11() real ext-real set
3 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
3 * (4 ") is V1() V11() real ext-real positive non negative set
(3 / 4) ^2 is V11() real ext-real Element of COMPLEX
(3 / 4) * (3 / 4) is V1() V11() real ext-real positive non negative set
(1 - (n * s)) ^2 is V11() real ext-real Element of REAL
(1 - (n * s)) * (1 - (n * s)) is V11() real ext-real set
16 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
9 / 16 is V1() V11() real ext-real positive non negative Element of COMPLEX
16 " is V1() V11() real ext-real positive non negative set
9 * (16 ") is V1() V11() real ext-real positive non negative set
1 + (9 / 16) is V1() V11() real ext-real positive non negative Element of REAL
1 + ((1 - (n * s)) ^2) is V11() real ext-real Element of REAL
25 / 16 is V1() V11() real ext-real positive non negative Element of COMPLEX
25 * (16 ") is V1() V11() real ext-real positive non negative set
4 * (25 / 16) is V1() V11() real ext-real positive non negative Element of REAL
4 * (1 + ((1 - (n * s)) ^2)) is V11() real ext-real Element of REAL
(1 + ((1 - (n * s)) ^2)) / (1 / 4) is V11() real ext-real Element of COMPLEX
(1 / 4) " is V1() V11() real ext-real positive non negative set
(1 + ((1 - (n * s)) ^2)) * ((1 / 4) ") is V11() real ext-real set
(1 + ((1 - (n * s)) ^2)) / (n * s) is V11() real ext-real Element of COMPLEX
(n * s) " is V1() V11() real ext-real positive non negative set
(1 + ((1 - (n * s)) ^2)) * ((n * s) ") is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
(n ^2) + (s ^2) is V11() real ext-real set
2 * n is V1() V11() real ext-real positive non negative Element of REAL
(2 * n) * s is V1() V11() real ext-real positive non negative Element of REAL
(n ^2) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n ^2) + ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) + ((2 * n) * s)) + (s ^2)) - ((2 * n) * s) is V11() real ext-real Element of REAL
- ((2 * n) * s) is V1() V11() real ext-real non positive negative set
(((n ^2) + ((2 * n) * s)) + (s ^2)) + (- ((2 * n) * s)) is V11() real ext-real set
1 ^2 is V11() real ext-real Element of REAL
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative set
(1 ^2) - ((2 * n) * s) is V11() real ext-real Element of REAL
(1 ^2) + (- ((2 * n) * s)) is V11() real ext-real set
1 + (n ^2) is V11() real ext-real Element of REAL
(1 + (n ^2)) / n is V11() real ext-real Element of COMPLEX
(1 + (n ^2)) * (n ") is V11() real ext-real set
((1 + (n ^2)) / n) * (s + (1 / s)) is V11() real ext-real set
1 + (s ^2) is V11() real ext-real Element of REAL
(1 + (s ^2)) / s is V11() real ext-real Element of COMPLEX
(1 + (s ^2)) * (s ") is V11() real ext-real set
((1 + (n ^2)) / n) * ((1 + (s ^2)) / s) is V11() real ext-real Element of COMPLEX
(1 + (n ^2)) * (1 + (s ^2)) is V11() real ext-real Element of REAL
((1 + (n ^2)) * (1 + (s ^2))) / (n * s) is V11() real ext-real Element of COMPLEX
((1 + (n ^2)) * (1 + (s ^2))) * ((n * s) ") is V11() real ext-real set
2 * (n * s) is V1() V11() real ext-real positive non negative Element of REAL
(1 ^2) - (2 * (n * s)) is V11() real ext-real Element of REAL
- (2 * (n * s)) is V1() V11() real ext-real non positive negative set
(1 ^2) + (- (2 * (n * s))) is V11() real ext-real set
(n ^2) * (s ^2) is V11() real ext-real set
((1 ^2) - (2 * (n * s))) + ((n ^2) * (s ^2)) is V11() real ext-real Element of REAL
1 + (((1 ^2) - (2 * (n * s))) + ((n ^2) * (s ^2))) is V11() real ext-real Element of REAL
(1 + (((1 ^2) - (2 * (n * s))) + ((n ^2) * (s ^2)))) / (n * s) is V11() real ext-real Element of COMPLEX
(1 + (((1 ^2) - (2 * (n * s))) + ((n ^2) * (s ^2)))) * ((n * s) ") is V11() real ext-real set
n is V11() real ext-real set
abs n is V11() real ext-real non negative Element of REAL
s is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
- n is V11() real ext-real set
(- n) ^2 is V11() real ext-real set
(- n) * (- n) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
s is V11() real ext-real set
abs s is V11() real ext-real non negative Element of REAL
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
- s is V11() real ext-real set
(- s) ^2 is V11() real ext-real set
(- s) * (- s) is V11() real ext-real set
n is V11() real ext-real set
abs n is V11() real ext-real non negative Element of REAL
s is V11() real ext-real set
abs s is V11() real ext-real non negative Element of REAL
(abs n) - (abs s) is V11() real ext-real Element of REAL
- (abs s) is V11() real ext-real non positive set
(abs n) + (- (abs s)) is V11() real ext-real set
abs ((abs n) - (abs s)) is V11() real ext-real non negative Element of REAL
(abs n) + (abs s) is V11() real ext-real non negative Element of REAL
n - s is V11() real ext-real set
- s is V11() real ext-real set
n + (- s) is V11() real ext-real set
abs (n - s) is V11() real ext-real non negative Element of REAL
n is V1() V11() real ext-real positive non negative set
sqrt n is V11() real ext-real set
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
1 * (n ") is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
sqrt s is V11() real ext-real set
(sqrt n) + (sqrt s) is V11() real ext-real set
1 / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s " is V1() V11() real ext-real positive non negative set
1 * (s ") is V1() V11() real ext-real positive non negative set
(1 / n) + (1 / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
n is V1() V11() real ext-real positive non negative set
(n * s) * n is V1() V11() real ext-real positive non negative set
sqrt n is V11() real ext-real set
((sqrt n) + (sqrt s)) + (sqrt n) is V11() real ext-real set
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
1 * (n ") is V1() V11() real ext-real positive non negative set
((1 / n) + (1 / s)) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 / n) * (1 / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt ((1 / n) * (1 / s)) is V11() real ext-real set
((1 / n) + (1 / s)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 / n) + (1 / s)) * (2 ") is V1() V11() real ext-real positive non negative set
1 / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * s) " is V1() V11() real ext-real positive non negative set
1 * ((n * s) ") is V1() V11() real ext-real positive non negative set
sqrt (1 / (n * s)) is V11() real ext-real set
1 * n is V1() V11() real ext-real positive non negative Element of REAL
(1 * n) / ((n * s) * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n * s) * n) " is V1() V11() real ext-real positive non negative set
(1 * n) * (((n * s) * n) ") is V1() V11() real ext-real positive non negative set
sqrt ((1 * n) / ((n * s) * n)) is V11() real ext-real set
(1 / n) * (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt ((1 / n) * (1 / n)) is V11() real ext-real set
(1 / n) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 / n) + (1 / n)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 / n) + (1 / n)) * (2 ") is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
1 / (n * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * n) " is V1() V11() real ext-real positive non negative set
1 * ((n * n) ") is V1() V11() real ext-real positive non negative set
sqrt (1 / (n * n)) is V11() real ext-real set
1 * s is V1() V11() real ext-real positive non negative Element of REAL
(n * n) * s is V1() V11() real ext-real positive non negative set
(1 * s) / ((n * n) * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n * n) * s) " is V1() V11() real ext-real positive non negative set
(1 * s) * (((n * n) * s) ") is V1() V11() real ext-real positive non negative set
sqrt ((1 * s) / ((n * n) * s)) is V11() real ext-real set
(1 / s) * (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt ((1 / s) * (1 / n)) is V11() real ext-real set
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 / s) + (1 / n)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 / s) + (1 / n)) * (2 ") is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
1 / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * n) " is V1() V11() real ext-real positive non negative set
1 * ((s * n) ") is V1() V11() real ext-real positive non negative set
sqrt (1 / (s * n)) is V11() real ext-real set
1 * n is V1() V11() real ext-real positive non negative Element of REAL
(s * n) * n is V1() V11() real ext-real positive non negative set
(1 * n) / ((s * n) * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) * n) " is V1() V11() real ext-real positive non negative set
(1 * n) * (((s * n) * n) ") is V1() V11() real ext-real positive non negative set
sqrt ((1 * n) / ((s * n) * n)) is V11() real ext-real set
(((1 / s) + (1 / n)) / 2) + (((1 / n) + (1 / n)) / 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((1 / s) + (1 / n)) / 2) + (((1 / n) + (1 / n)) / 2)) + (((1 / n) + (1 / s)) / 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
6 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n is V11() real ext-real set
n |^ 3 is V11() real ext-real set
n |^ 2 is V11() real ext-real set
s is V11() real ext-real set
n + s is V11() real ext-real set
s |^ 3 is V11() real ext-real set
(n |^ 3) + (s |^ 3) is V11() real ext-real set
s |^ 2 is V11() real ext-real set
(n |^ 2) + (s |^ 2) is V11() real ext-real set
n is V11() real ext-real set
(n + s) + n is V11() real ext-real set
n |^ 3 is V11() real ext-real set
((n |^ 3) + (s |^ 3)) + (n |^ 3) is V11() real ext-real set
(((n |^ 3) + (s |^ 3)) + (n |^ 3)) ^2 is V11() real ext-real set
(((n |^ 3) + (s |^ 3)) + (n |^ 3)) * (((n |^ 3) + (s |^ 3)) + (n |^ 3)) is V11() real ext-real set
6 * ((((n |^ 3) + (s |^ 3)) + (n |^ 3)) ^2) is V11() real ext-real Element of REAL
n |^ 2 is V11() real ext-real set
((n |^ 2) + (s |^ 2)) + (n |^ 2) is V11() real ext-real set
(((n |^ 2) + (s |^ 2)) + (n |^ 2)) |^ 3 is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
(n ^2) * (s ^2) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
((n ^2) * (s ^2)) * (n ^2) is V11() real ext-real set
(((n ^2) * (s ^2)) * (n ^2)) / 4 is V11() real ext-real Element of COMPLEX
(((n ^2) * (s ^2)) * (n ^2)) * (4 ") is V11() real ext-real set
3 -Root ((((n ^2) * (s ^2)) * (n ^2)) / 4) is V11() real ext-real set
3 -root ((((n ^2) * (s ^2)) * (n ^2)) / 4) is V11() real ext-real set
n * (n + s) is V11() real ext-real set
(n * (n + s)) / 2 is V11() real ext-real Element of COMPLEX
(n * (n + s)) * (2 ") is V11() real ext-real set
s * (n + s) is V11() real ext-real set
(s * (n + s)) / 2 is V11() real ext-real Element of COMPLEX
(s * (n + s)) * (2 ") is V11() real ext-real set
((n * (n + s)) / 2) * ((s * (n + s)) / 2) is V11() real ext-real Element of COMPLEX
n * s is V11() real ext-real set
(((n * (n + s)) / 2) * ((s * (n + s)) / 2)) * (n * s) is V11() real ext-real set
3 -root ((((n * (n + s)) / 2) * ((s * (n + s)) / 2)) * (n * s)) is V11() real ext-real set
3 * (3 -root ((((n * (n + s)) / 2) * ((s * (n + s)) / 2)) * (n * s))) is V11() real ext-real Element of REAL
((n * (n + s)) / 2) + ((s * (n + s)) / 2) is V11() real ext-real Element of COMPLEX
(((n * (n + s)) / 2) + ((s * (n + s)) / 2)) + (n * s) is V11() real ext-real set
(n + s) * (n + s) is V11() real ext-real set
((n ^2) * (s ^2)) * ((n + s) * (n + s)) is V11() real ext-real set
(((n ^2) * (s ^2)) * ((n + s) * (n + s))) / 4 is V11() real ext-real Element of COMPLEX
(((n ^2) * (s ^2)) * ((n + s) * (n + s))) * (4 ") is V11() real ext-real set
3 -root ((((n ^2) * (s ^2)) * ((n + s) * (n + s))) / 4) is V11() real ext-real set
3 * (3 -root ((((n ^2) * (s ^2)) * ((n + s) * (n + s))) / 4)) is V11() real ext-real Element of REAL
- n is V11() real ext-real set
(- n) ^2 is V11() real ext-real set
(- n) * (- n) is V11() real ext-real set
((n ^2) * (s ^2)) * ((- n) ^2) is V11() real ext-real set
(((n ^2) * (s ^2)) * ((- n) ^2)) / 4 is V11() real ext-real Element of COMPLEX
(((n ^2) * (s ^2)) * ((- n) ^2)) * (4 ") is V11() real ext-real set
3 -root ((((n ^2) * (s ^2)) * ((- n) ^2)) / 4) is V11() real ext-real set
3 * (3 -root ((((n ^2) * (s ^2)) * ((- n) ^2)) / 4)) is V11() real ext-real Element of REAL
3 * (3 -root ((((n ^2) * (s ^2)) * (n ^2)) / 4)) is V11() real ext-real Element of REAL
(3 * (3 -root ((((n ^2) * (s ^2)) * (n ^2)) / 4))) |^ 3 is V11() real ext-real Element of REAL
(3 -root ((((n ^2) * (s ^2)) * (n ^2)) / 4)) |^ 3 is V11() real ext-real set
(3 |^ 3) * ((3 -root ((((n ^2) * (s ^2)) * (n ^2)) / 4)) |^ 3) is V11() real ext-real Element of REAL
(3 -Root ((((n ^2) * (s ^2)) * (n ^2)) / 4)) |^ 3 is V11() real ext-real set
27 * ((3 -Root ((((n ^2) * (s ^2)) * (n ^2)) / 4)) |^ 3) is V11() real ext-real Element of REAL
27 * ((((n ^2) * (s ^2)) * (n ^2)) / 4) is V11() real ext-real Element of REAL
((((n * (n + s)) / 2) + ((s * (n + s)) / 2)) + (n * s)) |^ 3 is V11() real ext-real set
8 * (27 * ((((n ^2) * (s ^2)) * (n ^2)) / 4)) is V11() real ext-real Element of REAL
8 * (((((n * (n + s)) / 2) + ((s * (n + s)) / 2)) + (n * s)) |^ 3) is V11() real ext-real Element of REAL
(n ^2) + (s ^2) is V11() real ext-real set
((n ^2) + (s ^2)) / 2 is V11() real ext-real Element of COMPLEX
((n ^2) + (s ^2)) * (2 ") is V11() real ext-real set
(n |^ 2) + (s ^2) is V11() real ext-real set
((n |^ 2) + (s ^2)) / 2 is V11() real ext-real Element of COMPLEX
((n |^ 2) + (s ^2)) * (2 ") is V11() real ext-real set
((n |^ 2) + (s |^ 2)) / 2 is V11() real ext-real Element of COMPLEX
((n |^ 2) + (s |^ 2)) * (2 ") is V11() real ext-real set
(n |^ 2) + (n * s) is V11() real ext-real set
((n |^ 2) + (n * s)) / 2 is V11() real ext-real Element of COMPLEX
((n |^ 2) + (n * s)) * (2 ") is V11() real ext-real set
(n * s) + (s |^ 2) is V11() real ext-real set
((n * s) + (s |^ 2)) / 2 is V11() real ext-real Element of COMPLEX
((n * s) + (s |^ 2)) * (2 ") is V11() real ext-real set
(((n |^ 2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2) is V11() real ext-real Element of COMPLEX
((((n |^ 2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2)) + (n * s) is V11() real ext-real set
((((n |^ 2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2)) + (((n |^ 2) + (s |^ 2)) / 2) is V11() real ext-real Element of COMPLEX
(n ^2) + (n * s) is V11() real ext-real set
((n ^2) + (n * s)) / 2 is V11() real ext-real Element of COMPLEX
((n ^2) + (n * s)) * (2 ") is V11() real ext-real set
(((n ^2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2) is V11() real ext-real Element of COMPLEX
((((n ^2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2)) + (n * s) is V11() real ext-real set
(n * n) + (n * s) is V11() real ext-real set
((n * n) + (n * s)) / 2 is V11() real ext-real Element of COMPLEX
((n * n) + (n * s)) * (2 ") is V11() real ext-real set
(n * s) + (s ^2) is V11() real ext-real set
((n * s) + (s ^2)) / 2 is V11() real ext-real Element of COMPLEX
((n * s) + (s ^2)) * (2 ") is V11() real ext-real set
(((n * n) + (n * s)) / 2) + (((n * s) + (s ^2)) / 2) is V11() real ext-real Element of COMPLEX
((((n * n) + (n * s)) / 2) + (((n * s) + (s ^2)) / 2)) + (n * s) is V11() real ext-real set
(((((n |^ 2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2)) + (((n |^ 2) + (s |^ 2)) / 2)) |^ 3 is V11() real ext-real set
8 * ((((((n |^ 2) + (n * s)) / 2) + (((n * s) + (s |^ 2)) / 2)) + (((n |^ 2) + (s |^ 2)) / 2)) |^ 3) is V11() real ext-real Element of REAL
54 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
54 * (((n ^2) * (s ^2)) * (n ^2)) is V11() real ext-real Element of REAL
((n |^ 2) + (n * s)) + (s |^ 2) is V11() real ext-real set
(((n |^ 2) + (n * s)) + (s |^ 2)) |^ 3 is V11() real ext-real set
8 * ((((n |^ 2) + (n * s)) + (s |^ 2)) |^ 3) is V11() real ext-real Element of REAL
2 * (((n |^ 2) + (n * s)) + (s |^ 2)) is V11() real ext-real Element of REAL
(2 * (((n |^ 2) + (n * s)) + (s |^ 2))) |^ 3 is V11() real ext-real Element of REAL
2 * n is V11() real ext-real Element of REAL
(2 * n) * s is V11() real ext-real Element of REAL
(n |^ 2) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n |^ 2) + ((2 * n) * s)) + (s |^ 2) is V11() real ext-real Element of REAL
(((n |^ 2) + ((2 * n) * s)) + (s |^ 2)) + (n |^ 2) is V11() real ext-real Element of REAL
((((n |^ 2) + ((2 * n) * s)) + (s |^ 2)) + (n |^ 2)) + (s |^ 2) is V11() real ext-real Element of REAL
(((((n |^ 2) + ((2 * n) * s)) + (s |^ 2)) + (n |^ 2)) + (s |^ 2)) |^ 3 is V11() real ext-real Element of REAL
(n ^2) + ((2 * n) * s) is V11() real ext-real Element of REAL
((n ^2) + ((2 * n) * s)) + (s |^ 2) is V11() real ext-real Element of REAL
(((n ^2) + ((2 * n) * s)) + (s |^ 2)) + (n |^ 2) is V11() real ext-real Element of REAL
((((n ^2) + ((2 * n) * s)) + (s |^ 2)) + (n |^ 2)) + (s |^ 2) is V11() real ext-real Element of REAL
(((((n ^2) + ((2 * n) * s)) + (s |^ 2)) + (n |^ 2)) + (s |^ 2)) |^ 3 is V11() real ext-real Element of REAL
(((n ^2) + ((2 * n) * s)) + (s |^ 2)) + (n ^2) is V11() real ext-real Element of REAL
((((n ^2) + ((2 * n) * s)) + (s |^ 2)) + (n ^2)) + (s |^ 2) is V11() real ext-real Element of REAL
(((((n ^2) + ((2 * n) * s)) + (s |^ 2)) + (n ^2)) + (s |^ 2)) |^ 3 is V11() real ext-real Element of REAL
((n ^2) + ((2 * n) * s)) + (s ^2) is V11() real ext-real Element of REAL
(((n ^2) + ((2 * n) * s)) + (s ^2)) + (n ^2) is V11() real ext-real Element of REAL
((((n ^2) + ((2 * n) * s)) + (s ^2)) + (n ^2)) + (s |^ 2) is V11() real ext-real Element of REAL
(((((n ^2) + ((2 * n) * s)) + (s ^2)) + (n ^2)) + (s |^ 2)) |^ 3 is V11() real ext-real Element of REAL
((((n ^2) + ((2 * n) * s)) + (s ^2)) + (n ^2)) + (s ^2) is V11() real ext-real Element of REAL
(((((n ^2) + ((2 * n) * s)) + (s ^2)) + (n ^2)) + (s ^2)) |^ 3 is V11() real ext-real Element of REAL
- (n + s) is V11() real ext-real set
(n + s) |^ 3 is V11() real ext-real set
- ((n + s) |^ 3) is V11() real ext-real set
3 * (n ^2) is V11() real ext-real Element of REAL
(3 * (n ^2)) * s is V11() real ext-real Element of REAL
(n |^ 3) + ((3 * (n ^2)) * s) is V11() real ext-real Element of REAL
3 * n is V11() real ext-real Element of REAL
(3 * n) * (s ^2) is V11() real ext-real Element of REAL
((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2)) is V11() real ext-real Element of REAL
(((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2))) + (s |^ 3) is V11() real ext-real Element of REAL
- ((((n |^ 3) + ((3 * (n ^2)) * s)) + ((3 * n) * (s ^2))) + (s |^ 3)) is V11() real ext-real Element of REAL
(n |^ 2) + (n ^2) is V11() real ext-real set
((n |^ 2) + (n ^2)) + (s ^2) is V11() real ext-real set
(((n |^ 2) + (n ^2)) + (s ^2)) |^ 3 is V11() real ext-real set
(n |^ 2) + (n |^ 2) is V11() real ext-real set
((n |^ 2) + (n |^ 2)) + (s ^2) is V11() real ext-real set
(((n |^ 2) + (n |^ 2)) + (s ^2)) |^ 3 is V11() real ext-real set
((n |^ 2) + (n |^ 2)) + (s |^ 2) is V11() real ext-real set
(((n |^ 2) + (n |^ 2)) + (s |^ 2)) |^ 3 is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n to_power s is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
n to_power (sqrt (s * n)) is V11() real ext-real set
2 * (n to_power (sqrt (s * n))) is V11() real ext-real Element of REAL
n to_power n is V11() real ext-real set
(n to_power s) + (n to_power n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real Element of REAL
(2 * (sqrt (s * n))) / 2 is V11() real ext-real Element of COMPLEX
(2 * (sqrt (s * n))) * (2 ") is V11() real ext-real set
s + n is V1() V11() real ext-real positive non negative set
(s + n) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
(s + n) * (2 ") is V1() V11() real ext-real positive non negative set
(n to_power s) * (n to_power n) is V11() real ext-real set
sqrt ((n to_power s) * (n to_power n)) is V11() real ext-real set
2 * (sqrt ((n to_power s) * (n to_power n))) is V11() real ext-real Element of REAL
n to_power (s + n) is V11() real ext-real set
sqrt (n to_power (s + n)) is V11() real ext-real set
2 * (sqrt (n to_power (s + n))) is V11() real ext-real Element of REAL
(n to_power (s + n)) to_power (1 / 2) is V11() real ext-real set
2 * ((n to_power (s + n)) to_power (1 / 2)) is V11() real ext-real Element of REAL
(1 / 2) * (s + n) is V1() V11() real ext-real positive non negative set
n to_power ((1 / 2) * (s + n)) is V11() real ext-real set
2 * (n to_power ((1 / 2) * (s + n))) is V11() real ext-real Element of REAL
n #R (sqrt (s * n)) is V11() real ext-real set
n #R ((s + n) / 2) is V11() real ext-real set
n to_power ((s + n) / 2) is V11() real ext-real set
2 * (n to_power ((s + n) / 2)) is V11() real ext-real Element of REAL
n is V1() V11() real ext-real positive non negative set
n to_power n is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
s to_power s is V11() real ext-real set
(n to_power n) * (s to_power s) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
(n * s) * n is V1() V11() real ext-real positive non negative set
(n + s) + n is V1() V11() real ext-real positive non negative set
((n + s) + n) / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
((n + s) + n) * (3 ") is V1() V11() real ext-real positive non negative set
((n * s) * n) to_power (((n + s) + n) / 3) is V11() real ext-real set
n to_power n is V11() real ext-real set
((n to_power n) * (s to_power s)) * (n to_power n) is V11() real ext-real set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n " is V1() V11() real ext-real positive non negative set
s * (n ") is V1() V11() real ext-real positive non negative set
s - n is V11() real ext-real set
- n is V1() V11() real ext-real non positive negative set
s + (- n) is V11() real ext-real set
(s - n) / 3 is V11() real ext-real Element of COMPLEX
(s - n) * (3 ") is V11() real ext-real set
(s / n) to_power ((s - n) / 3) is V11() real ext-real set
(s / n) #R ((s - n) / 3) is V11() real ext-real set
n - n is V11() real ext-real set
n + (- n) is V11() real ext-real set
n / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s " is V1() V11() real ext-real positive non negative set
n * (s ") is V1() V11() real ext-real positive non negative set
n - s is V11() real ext-real set
- s is V1() V11() real ext-real non positive negative set
n + (- s) is V11() real ext-real set
(n - s) / 3 is V11() real ext-real Element of COMPLEX
(n - s) * (3 ") is V11() real ext-real set
(n / s) to_power ((n - s) / 3) is V11() real ext-real set
(n / s) #R ((n - s) / 3) is V11() real ext-real set
s - s is V11() real ext-real set
s + (- s) is V11() real ext-real set
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n / s) to_power ((n - s) / 3)) * ((s / n) to_power ((s - n) / 3)) is V11() real ext-real set
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n * (n ") is V1() V11() real ext-real positive non negative set
n - n is V11() real ext-real set
n + (- n) is V11() real ext-real set
(n - n) / 3 is V11() real ext-real Element of COMPLEX
(n - n) * (3 ") is V11() real ext-real set
(n / n) to_power ((n - n) / 3) is V11() real ext-real set
(n / n) #R ((n - n) / 3) is V11() real ext-real set
(((n / s) to_power ((n - s) / 3)) * ((s / n) to_power ((s - n) / 3))) * ((n / n) to_power ((n - n) / 3)) is V11() real ext-real set
n to_power ((n - s) / 3) is V11() real ext-real set
s to_power ((n - s) / 3) is V11() real ext-real set
(n to_power ((n - s) / 3)) / (s to_power ((n - s) / 3)) is V11() real ext-real Element of COMPLEX
(s to_power ((n - s) / 3)) " is V11() real ext-real set
(n to_power ((n - s) / 3)) * ((s to_power ((n - s) / 3)) ") is V11() real ext-real set
((n to_power ((n - s) / 3)) / (s to_power ((n - s) / 3))) * ((s / n) to_power ((s - n) / 3)) is V11() real ext-real set
(((n to_power ((n - s) / 3)) / (s to_power ((n - s) / 3))) * ((s / n) to_power ((s - n) / 3))) * ((n / n) to_power ((n - n) / 3)) is V11() real ext-real set
s to_power ((s - n) / 3) is V11() real ext-real set
n to_power ((s - n) / 3) is V11() real ext-real set
(s to_power ((s - n) / 3)) / (n to_power ((s - n) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power ((s - n) / 3)) " is V11() real ext-real set
(s to_power ((s - n) / 3)) * ((n to_power ((s - n) / 3)) ") is V11() real ext-real set
((n to_power ((n - s) / 3)) / (s to_power ((n - s) / 3))) * ((s to_power ((s - n) / 3)) / (n to_power ((s - n) / 3))) is V11() real ext-real Element of COMPLEX
(((n to_power ((n - s) / 3)) / (s to_power ((n - s) / 3))) * ((s to_power ((s - n) / 3)) / (n to_power ((s - n) / 3)))) * ((n / n) to_power ((n - n) / 3)) is V11() real ext-real set
s to_power (((n + s) + n) / 3) is V11() real ext-real set
n to_power (((n + s) + n) / 3) is V11() real ext-real set
n to_power (((n + s) + n) / 3) is V11() real ext-real set
n to_power ((n - n) / 3) is V11() real ext-real set
n to_power ((n - n) / 3) is V11() real ext-real set
(n to_power ((n - n) / 3)) / (n to_power ((n - n) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power ((n - n) / 3)) " is V11() real ext-real set
(n to_power ((n - n) / 3)) * ((n to_power ((n - n) / 3)) ") is V11() real ext-real set
(((n to_power ((n - s) / 3)) / (s to_power ((n - s) / 3))) * ((s to_power ((s - n) / 3)) / (n to_power ((s - n) / 3)))) * ((n to_power ((n - n) / 3)) / (n to_power ((n - n) / 3))) is V11() real ext-real Element of COMPLEX
(n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3)) is V11() real ext-real set
(s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3)) is V11() real ext-real set
((n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3))) / ((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) is V11() real ext-real Element of COMPLEX
((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) " is V11() real ext-real set
((n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3))) * (((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) ") is V11() real ext-real set
(((n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3))) / ((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3)))) * ((n to_power ((n - n) / 3)) / (n to_power ((n - n) / 3))) is V11() real ext-real Element of COMPLEX
((n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3))) * (n to_power ((n - n) / 3)) is V11() real ext-real set
((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) * (n to_power ((n - n) / 3)) is V11() real ext-real set
(((n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3))) * (n to_power ((n - n) / 3))) / (((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) * (n to_power ((n - n) / 3))) is V11() real ext-real Element of COMPLEX
(((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) * (n to_power ((n - n) / 3))) " is V11() real ext-real set
(((n to_power ((n - s) / 3)) * (s to_power ((s - n) / 3))) * (n to_power ((n - n) / 3))) * ((((s to_power ((n - s) / 3)) * (n to_power ((s - n) / 3))) * (n to_power ((n - n) / 3))) ") is V11() real ext-real set
(n to_power ((n - s) / 3)) * (n to_power ((n - n) / 3)) is V11() real ext-real set
((n to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (s to_power ((s - n) / 3)) is V11() real ext-real set
(s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3)) is V11() real ext-real set
((s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (n to_power ((s - n) / 3)) is V11() real ext-real set
(((n to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (s to_power ((s - n) / 3))) / (((s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (n to_power ((s - n) / 3))) is V11() real ext-real Element of COMPLEX
(((s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (n to_power ((s - n) / 3))) " is V11() real ext-real set
(((n to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (s to_power ((s - n) / 3))) * ((((s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (n to_power ((s - n) / 3))) ") is V11() real ext-real set
((n - s) / 3) + ((n - n) / 3) is V11() real ext-real Element of COMPLEX
n to_power (((n - s) / 3) + ((n - n) / 3)) is V11() real ext-real set
(n to_power (((n - s) / 3) + ((n - n) / 3))) * (s to_power ((s - n) / 3)) is V11() real ext-real set
((n to_power (((n - s) / 3) + ((n - n) / 3))) * (s to_power ((s - n) / 3))) / (((s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (n to_power ((s - n) / 3))) is V11() real ext-real Element of COMPLEX
((n to_power (((n - s) / 3) + ((n - n) / 3))) * (s to_power ((s - n) / 3))) * ((((s to_power ((n - s) / 3)) * (n to_power ((n - n) / 3))) * (n to_power ((s - n) / 3))) ") is V11() real ext-real set
2 * n is V1() V11() real ext-real positive non negative Element of REAL
(2 * n) - s is V11() real ext-real Element of REAL
(2 * n) + (- s) is V11() real ext-real set
((2 * n) - s) - n is V11() real ext-real Element of REAL
((2 * n) - s) + (- n) is V11() real ext-real set
(((2 * n) - s) - n) / 3 is V11() real ext-real Element of COMPLEX
(((2 * n) - s) - n) * (3 ") is V11() real ext-real set
n to_power ((((2 * n) - s) - n) / 3) is V11() real ext-real set
(n to_power ((((2 * n) - s) - n) / 3)) * (s to_power ((s - n) / 3)) is V11() real ext-real set
(n to_power ((n - n) / 3)) * (n to_power ((s - n) / 3)) is V11() real ext-real set
(s to_power ((n - s) / 3)) * ((n to_power ((n - n) / 3)) * (n to_power ((s - n) / 3))) is V11() real ext-real set
((n to_power ((((2 * n) - s) - n) / 3)) * (s to_power ((s - n) / 3))) / ((s to_power ((n - s) / 3)) * ((n to_power ((n - n) / 3)) * (n to_power ((s - n) / 3)))) is V11() real ext-real Element of COMPLEX
((s to_power ((n - s) / 3)) * ((n to_power ((n - n) / 3)) * (n to_power ((s - n) / 3)))) " is V11() real ext-real set
((n to_power ((((2 * n) - s) - n) / 3)) * (s to_power ((s - n) / 3))) * (((s to_power ((n - s) / 3)) * ((n to_power ((n - n) / 3)) * (n to_power ((s - n) / 3)))) ") is V11() real ext-real set
((n - n) / 3) + ((s - n) / 3) is V11() real ext-real Element of COMPLEX
n to_power (((n - n) / 3) + ((s - n) / 3)) is V11() real ext-real set
(s to_power ((n - s) / 3)) * (n to_power (((n - n) / 3) + ((s - n) / 3))) is V11() real ext-real set
((n to_power ((((2 * n) - s) - n) / 3)) * (s to_power ((s - n) / 3))) / ((s to_power ((n - s) / 3)) * (n to_power (((n - n) / 3) + ((s - n) / 3)))) is V11() real ext-real Element of COMPLEX
((s to_power ((n - s) / 3)) * (n to_power (((n - n) / 3) + ((s - n) / 3)))) " is V11() real ext-real set
((n to_power ((((2 * n) - s) - n) / 3)) * (s to_power ((s - n) / 3))) * (((s to_power ((n - s) / 3)) * (n to_power (((n - n) / 3) + ((s - n) / 3)))) ") is V11() real ext-real set
2 * n is V1() V11() real ext-real positive non negative Element of REAL
(n + s) - (2 * n) is V11() real ext-real Element of REAL
- (2 * n) is V1() V11() real ext-real non positive negative set
(n + s) + (- (2 * n)) is V11() real ext-real set
((n + s) - (2 * n)) / 3 is V11() real ext-real Element of COMPLEX
((n + s) - (2 * n)) * (3 ") is V11() real ext-real set
n to_power (((n + s) - (2 * n)) / 3) is V11() real ext-real set
(n to_power ((((2 * n) - s) - n) / 3)) / (n to_power (((n + s) - (2 * n)) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power (((n + s) - (2 * n)) / 3)) " is V11() real ext-real set
(n to_power ((((2 * n) - s) - n) / 3)) * ((n to_power (((n + s) - (2 * n)) / 3)) ") is V11() real ext-real set
(s to_power ((s - n) / 3)) / (s to_power ((n - s) / 3)) is V11() real ext-real Element of COMPLEX
(s to_power ((s - n) / 3)) * ((s to_power ((n - s) / 3)) ") is V11() real ext-real set
((n to_power ((((2 * n) - s) - n) / 3)) / (n to_power (((n + s) - (2 * n)) / 3))) * ((s to_power ((s - n) / 3)) / (s to_power ((n - s) / 3))) is V11() real ext-real Element of COMPLEX
((s - n) / 3) - ((n - s) / 3) is V11() real ext-real Element of COMPLEX
- ((n - s) / 3) is V11() real ext-real set
((s - n) / 3) + (- ((n - s) / 3)) is V11() real ext-real set
s to_power (((s - n) / 3) - ((n - s) / 3)) is V11() real ext-real set
((n to_power ((((2 * n) - s) - n) / 3)) / (n to_power (((n + s) - (2 * n)) / 3))) * (s to_power (((s - n) / 3) - ((n - s) / 3))) is V11() real ext-real set
1 / (n to_power (((n + s) - (2 * n)) / 3)) is V11() real ext-real Element of COMPLEX
1 * ((n to_power (((n + s) - (2 * n)) / 3)) ") is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative Element of REAL
(2 * s) - n is V11() real ext-real Element of REAL
- n is V1() V11() real ext-real non positive negative set
(2 * s) + (- n) is V11() real ext-real set
((2 * s) - n) - n is V11() real ext-real Element of REAL
((2 * s) - n) + (- n) is V11() real ext-real set
(((2 * s) - n) - n) / 3 is V11() real ext-real Element of COMPLEX
(((2 * s) - n) - n) * (3 ") is V11() real ext-real set
s to_power ((((2 * s) - n) - n) / 3) is V11() real ext-real set
(1 / (n to_power (((n + s) - (2 * n)) / 3))) * (s to_power ((((2 * s) - n) - n) / 3)) is V11() real ext-real set
((1 / (n to_power (((n + s) - (2 * n)) / 3))) * (s to_power ((((2 * s) - n) - n) / 3))) * (n to_power ((((2 * n) - s) - n) / 3)) is V11() real ext-real set
- (((n + s) - (2 * n)) / 3) is V11() real ext-real Element of COMPLEX
n to_power (- (((n + s) - (2 * n)) / 3)) is V11() real ext-real set
(n to_power (- (((n + s) - (2 * n)) / 3))) * (s to_power ((((2 * s) - n) - n) / 3)) is V11() real ext-real set
((n to_power (- (((n + s) - (2 * n)) / 3))) * (s to_power ((((2 * s) - n) - n) / 3))) * (n to_power ((((2 * n) - s) - n) / 3)) is V11() real ext-real set
3 * n is V1() V11() real ext-real positive non negative Element of REAL
(3 * n) / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
(3 * n) * (3 ") is V1() V11() real ext-real positive non negative set
((3 * n) / 3) - (((n + s) + n) / 3) is V11() real ext-real Element of COMPLEX
- (((n + s) + n) / 3) is V1() V11() real ext-real non positive negative set
((3 * n) / 3) + (- (((n + s) + n) / 3)) is V11() real ext-real set
n to_power (((3 * n) / 3) - (((n + s) + n) / 3)) is V11() real ext-real set
3 * n is V1() V11() real ext-real positive non negative Element of REAL
(3 * n) / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
(3 * n) * (3 ") is V1() V11() real ext-real positive non negative set
((3 * n) / 3) - (((n + s) + n) / 3) is V11() real ext-real Element of COMPLEX
((3 * n) / 3) + (- (((n + s) + n) / 3)) is V11() real ext-real set
n to_power (((3 * n) / 3) - (((n + s) + n) / 3)) is V11() real ext-real set
(n to_power (((3 * n) / 3) - (((n + s) + n) / 3))) * (n to_power (((3 * n) / 3) - (((n + s) + n) / 3))) is V11() real ext-real set
3 * s is V1() V11() real ext-real positive non negative Element of REAL
(3 * s) / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
(3 * s) * (3 ") is V1() V11() real ext-real positive non negative set
((3 * s) / 3) - (((n + s) + n) / 3) is V11() real ext-real Element of COMPLEX
((3 * s) / 3) + (- (((n + s) + n) / 3)) is V11() real ext-real set
s to_power (((3 * s) / 3) - (((n + s) + n) / 3)) is V11() real ext-real set
((n to_power (((3 * n) / 3) - (((n + s) + n) / 3))) * (n to_power (((3 * n) / 3) - (((n + s) + n) / 3)))) * (s to_power (((3 * s) / 3) - (((n + s) + n) / 3))) is V11() real ext-real set
n to_power ((3 * n) / 3) is V11() real ext-real set
(n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power (((n + s) + n) / 3)) " is V11() real ext-real set
(n to_power ((3 * n) / 3)) * ((n to_power (((n + s) + n) / 3)) ") is V11() real ext-real set
((n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3))) * (n to_power (((3 * n) / 3) - (((n + s) + n) / 3))) is V11() real ext-real set
(((n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3))) * (n to_power (((3 * n) / 3) - (((n + s) + n) / 3)))) * (s to_power (((3 * s) / 3) - (((n + s) + n) / 3))) is V11() real ext-real set
n to_power ((3 * n) / 3) is V11() real ext-real set
(n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power (((n + s) + n) / 3)) " is V11() real ext-real set
(n to_power ((3 * n) / 3)) * ((n to_power (((n + s) + n) / 3)) ") is V11() real ext-real set
((n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3))) * ((n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3))) is V11() real ext-real Element of COMPLEX
(((n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3))) * ((n to_power ((3 * n) / 3)) / (n to_power (((n + s) + n) / 3)))) * (s to_power (((3 * s) / 3) - (((n + s) + n) / 3))) is V11() real ext-real set
(n to_power n) / (n to_power (((n + s) + n) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power n) * ((n to_power (((n + s) + n) / 3)) ") is V11() real ext-real set
(n to_power n) / (n to_power (((n + s) + n) / 3)) is V11() real ext-real Element of COMPLEX
(n to_power n) * ((n to_power (((n + s) + n) / 3)) ") is V11() real ext-real set
((n to_power n) / (n to_power (((n + s) + n) / 3))) * ((n to_power n) / (n to_power (((n + s) + n) / 3))) is V11() real ext-real Element of COMPLEX
(s to_power s) / (s to_power (((n + s) + n) / 3)) is V11() real ext-real Element of COMPLEX
(s to_power (((n + s) + n) / 3)) " is V11() real ext-real set
(s to_power s) * ((s to_power (((n + s) + n) / 3)) ") is V11() real ext-real set
(((n to_power n) / (n to_power (((n + s) + n) / 3))) * ((n to_power n) / (n to_power (((n + s) + n) / 3)))) * ((s to_power s) / (s to_power (((n + s) + n) / 3))) is V11() real ext-real Element of COMPLEX
(n to_power n) * (n to_power n) is V11() real ext-real set
(n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3)) is V11() real ext-real set
((n to_power n) * (n to_power n)) / ((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) is V11() real ext-real Element of COMPLEX
((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) " is V11() real ext-real set
((n to_power n) * (n to_power n)) * (((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) ") is V11() real ext-real set
(((n to_power n) * (n to_power n)) / ((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3)))) * ((s to_power s) / (s to_power (((n + s) + n) / 3))) is V11() real ext-real Element of COMPLEX
((n to_power n) * (n to_power n)) * (s to_power s) is V11() real ext-real set
((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3)) is V11() real ext-real set
(((n to_power n) * (n to_power n)) * (s to_power s)) / (((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3))) is V11() real ext-real Element of COMPLEX
(((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3))) " is V11() real ext-real set
(((n to_power n) * (n to_power n)) * (s to_power s)) * ((((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3))) ") is V11() real ext-real set
1 * (((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3))) is V11() real ext-real Element of REAL
((((n to_power n) * (n to_power n)) * (s to_power s)) / (((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3)))) * (((n to_power (((n + s) + n) / 3)) * (n to_power (((n + s) + n) / 3))) * (s to_power (((n + s) + n) / 3))) is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
(n * n) to_power (((n + s) + n) / 3) is V11() real ext-real set
((n * n) to_power (((n + s) + n) / 3)) * (s to_power (((n + s) + n) / 3)) is V11() real ext-real set
(n * n) * s is V1() V11() real ext-real positive non negative set
((n * n) * s) to_power (((n + s) + n) / 3) is V11() real ext-real set
(s to_power s) * (n to_power n) is V11() real ext-real set
(n to_power n) * ((s to_power s) * (n to_power n)) is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V11() real ext-real non negative set
s |^ (n + 2) is V11() real ext-real set
s |^ (n + 1) is V11() real ext-real set
(n + 2) * (s |^ (n + 1)) is V11() real ext-real Element of REAL
n is V11() real ext-real non negative set
((n + 2) * (s |^ (n + 1))) * n is V11() real ext-real Element of REAL
(s |^ (n + 2)) + (((n + 2) * (s |^ (n + 1))) * n) is V11() real ext-real Element of REAL
s + n is V11() real ext-real non negative set
(s + n) |^ (n + 2) is V11() real ext-real set
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
u + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (u + 2) is V11() real ext-real set
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (u + 1) is V11() real ext-real set
(u + 2) * (s |^ (u + 1)) is V11() real ext-real Element of REAL
((u + 2) * (s |^ (u + 1))) * n is V11() real ext-real Element of REAL
(s |^ (u + 2)) + (((u + 2) * (s |^ (u + 1))) * n) is V11() real ext-real Element of REAL
(s + n) |^ (u + 2) is V11() real ext-real set
(u + 1) + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ ((u + 1) + 2) is V11() real ext-real set
(u + 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ ((u + 1) + 1) is V11() real ext-real set
((u + 1) + 2) * (s |^ ((u + 1) + 1)) is V11() real ext-real Element of REAL
(((u + 1) + 2) * (s |^ ((u + 1) + 1))) * n is V11() real ext-real Element of REAL
(s |^ ((u + 1) + 2)) + ((((u + 1) + 2) * (s |^ ((u + 1) + 1))) * n) is V11() real ext-real Element of REAL
(s + n) |^ ((u + 1) + 2) is V11() real ext-real set
u + 3 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (u + 3) is V11() real ext-real set
(u + 3) * (s |^ (u + 2)) is V11() real ext-real Element of REAL
((u + 3) * (s |^ (u + 2))) * n is V11() real ext-real Element of REAL
(s |^ (u + 3)) + (((u + 3) * (s |^ (u + 2))) * n) is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is V11() real ext-real non negative set
((u + 2) * (s |^ (u + 1))) * (n ^2) is V11() real ext-real Element of REAL
(((u + 2) * (s |^ (u + 1))) * (n ^2)) + ((s |^ (u + 3)) + (((u + 3) * (s |^ (u + 2))) * n)) is V11() real ext-real Element of REAL
((s |^ (u + 2)) + (((u + 2) * (s |^ (u + 1))) * n)) * (s + n) is V11() real ext-real Element of REAL
((s + n) |^ (u + 2)) * (s + n) is V11() real ext-real set
(u + 2) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s + n) |^ ((u + 2) + 1) is V11() real ext-real set
(s |^ (u + 2)) * s is V11() real ext-real set
n * (s |^ (u + 2)) is V11() real ext-real set
((s |^ (u + 2)) * s) + (n * (s |^ (u + 2))) is V11() real ext-real set
(u + 2) * (s + n) is V11() real ext-real non negative Element of REAL
((u + 2) * (s + n)) * (s |^ (u + 1)) is V11() real ext-real Element of REAL
(((u + 2) * (s + n)) * (s |^ (u + 1))) * n is V11() real ext-real Element of REAL
(((s |^ (u + 2)) * s) + (n * (s |^ (u + 2)))) + ((((u + 2) * (s + n)) * (s |^ (u + 1))) * n) is V11() real ext-real Element of REAL
(s + n) |^ (u + 3) is V11() real ext-real set
s |^ ((u + 2) + 1) is V11() real ext-real set
(s |^ ((u + 2) + 1)) + (n * (s |^ (u + 2))) is V11() real ext-real set
((s |^ ((u + 2) + 1)) + (n * (s |^ (u + 2)))) + ((((u + 2) * (s + n)) * (s |^ (u + 1))) * n) is V11() real ext-real Element of REAL
(s |^ (u + 2)) * n is V11() real ext-real set
(s |^ (u + 3)) + ((s |^ (u + 2)) * n) is V11() real ext-real set
s * (s |^ (u + 1)) is V11() real ext-real set
(u + 2) * (s * (s |^ (u + 1))) is V11() real ext-real Element of REAL
((u + 2) * (s * (s |^ (u + 1)))) * n is V11() real ext-real Element of REAL
((s |^ (u + 3)) + ((s |^ (u + 2)) * n)) + (((u + 2) * (s * (s |^ (u + 1)))) * n) is V11() real ext-real Element of REAL
((u + 2) * (s |^ (u + 1))) * (n * n) is V11() real ext-real Element of REAL
(((s |^ (u + 3)) + ((s |^ (u + 2)) * n)) + (((u + 2) * (s * (s |^ (u + 1)))) * n)) + (((u + 2) * (s |^ (u + 1))) * (n * n)) is V11() real ext-real Element of REAL
(u + 2) * (s |^ ((u + 1) + 1)) is V11() real ext-real Element of REAL
((u + 2) * (s |^ ((u + 1) + 1))) * n is V11() real ext-real Element of REAL
((s |^ (u + 3)) + ((s |^ (u + 2)) * n)) + (((u + 2) * (s |^ ((u + 1) + 1))) * n) is V11() real ext-real Element of REAL
(((s |^ (u + 3)) + ((s |^ (u + 2)) * n)) + (((u + 2) * (s |^ ((u + 1) + 1))) * n)) + (((u + 2) * (s |^ (u + 1))) * (n * n)) is V11() real ext-real Element of REAL
0 + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (0 + 2) is V11() real ext-real set
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (0 + 1) is V11() real ext-real set
(0 + 2) * (s |^ (0 + 1)) is V11() real ext-real Element of REAL
((0 + 2) * (s |^ (0 + 1))) * n is V11() real ext-real Element of REAL
(s |^ (0 + 2)) + (((0 + 2) * (s |^ (0 + 1))) * n) is V11() real ext-real Element of REAL
s ^2 is V11() real ext-real set
s * s is V11() real ext-real non negative set
s |^ 1 is V11() real ext-real set
2 * (s |^ 1) is V11() real ext-real Element of REAL
(2 * (s |^ 1)) * n is V11() real ext-real Element of REAL
(s ^2) + ((2 * (s |^ 1)) * n) is V11() real ext-real Element of REAL
2 * s is V11() real ext-real non negative Element of REAL
(2 * s) * n is V11() real ext-real non negative Element of REAL
(s ^2) + ((2 * s) * n) is V11() real ext-real Element of REAL
(s + n) |^ (0 + 2) is V11() real ext-real set
(s + n) ^2 is V11() real ext-real set
(s + n) * (s + n) is V11() real ext-real non negative set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real non negative set
((s ^2) + ((2 * s) * n)) + (n ^2) is V11() real ext-real Element of REAL
n is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
(n + s) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
(n + s) * (2 ") is V1() V11() real ext-real positive non negative set
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) / 2) |^ n is V11() real ext-real set
n |^ n is V11() real ext-real set
s |^ n is V11() real ext-real set
(n |^ n) + (s |^ n) is V11() real ext-real set
((n |^ n) + (s |^ n)) / 2 is V11() real ext-real Element of COMPLEX
((n |^ n) + (s |^ n)) * (2 ") is V11() real ext-real set
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) / 2) |^ u is V11() real ext-real set
n |^ u is V11() real ext-real set
s |^ u is V11() real ext-real set
(n |^ u) + (s |^ u) is V11() real ext-real set
((n |^ u) + (s |^ u)) / 2 is V11() real ext-real Element of COMPLEX
((n |^ u) + (s |^ u)) * (2 ") is V11() real ext-real set
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) / 2) |^ (u + 1) is V11() real ext-real set
n |^ (u + 1) is V11() real ext-real set
s |^ (u + 1) is V11() real ext-real set
(n |^ (u + 1)) + (s |^ (u + 1)) is V11() real ext-real set
((n |^ (u + 1)) + (s |^ (u + 1))) / 2 is V11() real ext-real Element of COMPLEX
((n |^ (u + 1)) + (s |^ (u + 1))) * (2 ") is V11() real ext-real set
(((n + s) / 2) |^ u) * (n + s) is V11() real ext-real set
(((n |^ u) + (s |^ u)) / 2) * (n + s) is V11() real ext-real set
n - s is V11() real ext-real set
- s is V1() V11() real ext-real non positive negative set
n + (- s) is V11() real ext-real set
0 + s is V1() V11() real ext-real positive non negative Element of REAL
(n - s) + s is V11() real ext-real set
(n |^ u) - (s |^ u) is V11() real ext-real set
- (s |^ u) is V11() real ext-real set
(n |^ u) + (- (s |^ u)) is V11() real ext-real set
(n - s) * ((n |^ u) - (s |^ u)) is V11() real ext-real set
(n |^ u) * n is V11() real ext-real set
(n |^ u) * s is V11() real ext-real set
((n |^ u) * n) - ((n |^ u) * s) is V11() real ext-real set
- ((n |^ u) * s) is V11() real ext-real set
((n |^ u) * n) + (- ((n |^ u) * s)) is V11() real ext-real set
(s |^ u) * n is V11() real ext-real set
(s |^ u) * s is V11() real ext-real set
((s |^ u) * n) - ((s |^ u) * s) is V11() real ext-real set
- ((s |^ u) * s) is V11() real ext-real set
((s |^ u) * n) + (- ((s |^ u) * s)) is V11() real ext-real set
(((n |^ u) * n) - ((n |^ u) * s)) - (((s |^ u) * n) - ((s |^ u) * s)) is V11() real ext-real set
- (((s |^ u) * n) - ((s |^ u) * s)) is V11() real ext-real set
(((n |^ u) * n) - ((n |^ u) * s)) + (- (((s |^ u) * n) - ((s |^ u) * s))) is V11() real ext-real set
(n |^ (u + 1)) - ((n |^ u) * s) is V11() real ext-real set
(n |^ (u + 1)) + (- ((n |^ u) * s)) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) - (((s |^ u) * n) - ((s |^ u) * s)) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) + (- (((s |^ u) * n) - ((s |^ u) * s))) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n) is V11() real ext-real set
- ((s |^ u) * n) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) + (- ((s |^ u) * n)) is V11() real ext-real set
(((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n)) + ((s |^ u) * s) is V11() real ext-real set
(((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n)) + (s |^ (u + 1)) is V11() real ext-real set
((n |^ u) * s) + ((s |^ u) * n) is V11() real ext-real set
0 + (((n |^ u) * s) + ((s |^ u) * n)) is V11() real ext-real Element of REAL
((((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n)) + (s |^ (u + 1))) + (((n |^ u) * s) + ((s |^ u) * n)) is V11() real ext-real set
(((n |^ u) * s) + ((s |^ u) * n)) + ((n |^ (u + 1)) + (s |^ (u + 1))) is V11() real ext-real set
((n |^ (u + 1)) + (s |^ (u + 1))) + ((n |^ (u + 1)) + (s |^ (u + 1))) is V11() real ext-real set
(n |^ (u + 1)) + ((n |^ u) * s) is V11() real ext-real set
((n |^ (u + 1)) + ((n |^ u) * s)) + ((s |^ u) * n) is V11() real ext-real set
(((n |^ (u + 1)) + ((n |^ u) * s)) + ((s |^ u) * n)) + (s |^ (u + 1)) is V11() real ext-real set
2 * (n |^ (u + 1)) is V11() real ext-real Element of REAL
2 * (s |^ (u + 1)) is V11() real ext-real Element of REAL
(2 * (n |^ (u + 1))) + (2 * (s |^ (u + 1))) is V11() real ext-real Element of REAL
((n |^ u) * n) + ((n |^ u) * s) is V11() real ext-real set
(((n |^ u) * n) + ((n |^ u) * s)) + ((s |^ u) * n) is V11() real ext-real set
((((n |^ u) * n) + ((n |^ u) * s)) + ((s |^ u) * n)) + (s |^ (u + 1)) is V11() real ext-real set
((((n |^ u) * n) + ((n |^ u) * s)) + ((s |^ u) * n)) + ((s |^ u) * s) is V11() real ext-real set
((n |^ u) + (s |^ u)) * (n + s) is V11() real ext-real set
(((n |^ u) + (s |^ u)) * (n + s)) / 2 is V11() real ext-real Element of COMPLEX
(((n |^ u) + (s |^ u)) * (n + s)) * (2 ") is V11() real ext-real set
2 * ((n |^ (u + 1)) + (s |^ (u + 1))) is V11() real ext-real Element of REAL
(2 * ((n |^ (u + 1)) + (s |^ (u + 1)))) / 2 is V11() real ext-real Element of COMPLEX
(2 * ((n |^ (u + 1)) + (s |^ (u + 1)))) * (2 ") is V11() real ext-real set
(n + s) |^ u is V11() real ext-real set
2 |^ u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) |^ u) / (2 |^ u) is V11() real ext-real Element of COMPLEX
(2 |^ u) " is V11() real ext-real non negative set
((n + s) |^ u) * ((2 |^ u) ") is V11() real ext-real set
(((n + s) |^ u) / (2 |^ u)) * (n + s) is V11() real ext-real set
((n + s) |^ u) * (n + s) is V11() real ext-real set
(((n + s) |^ u) * (n + s)) / (2 |^ u) is V11() real ext-real Element of COMPLEX
(((n + s) |^ u) * (n + s)) * ((2 |^ u) ") is V11() real ext-real set
(n + s) |^ (u + 1) is V11() real ext-real set
((n + s) |^ (u + 1)) / (2 |^ u) is V11() real ext-real Element of COMPLEX
((n + s) |^ (u + 1)) * ((2 |^ u) ") is V11() real ext-real set
(((n + s) |^ (u + 1)) / (2 |^ u)) / 2 is V11() real ext-real Element of COMPLEX
(((n + s) |^ (u + 1)) / (2 |^ u)) * (2 ") is V11() real ext-real set
(2 |^ u) * 2 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) |^ (u + 1)) / ((2 |^ u) * 2) is V11() real ext-real Element of COMPLEX
((2 |^ u) * 2) " is V11() real ext-real non negative set
((n + s) |^ (u + 1)) * (((2 |^ u) * 2) ") is V11() real ext-real set
2 |^ (u + 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) |^ (u + 1)) / (2 |^ (u + 1)) is V11() real ext-real Element of COMPLEX
(2 |^ (u + 1)) " is V11() real ext-real non negative set
((n + s) |^ (u + 1)) * ((2 |^ (u + 1)) ") is V11() real ext-real set
n - s is V11() real ext-real set
- s is V1() V11() real ext-real non positive negative set
n + (- s) is V11() real ext-real set
0 + s is V1() V11() real ext-real positive non negative Element of REAL
(n - s) + s is V11() real ext-real set
(n |^ u) - (s |^ u) is V11() real ext-real set
- (s |^ u) is V11() real ext-real set
(n |^ u) + (- (s |^ u)) is V11() real ext-real set
(n - s) * ((n |^ u) - (s |^ u)) is V11() real ext-real set
(n |^ u) * n is V11() real ext-real set
(n |^ u) * s is V11() real ext-real set
((n |^ u) * n) - ((n |^ u) * s) is V11() real ext-real set
- ((n |^ u) * s) is V11() real ext-real set
((n |^ u) * n) + (- ((n |^ u) * s)) is V11() real ext-real set
(s |^ u) * n is V11() real ext-real set
(s |^ u) * s is V11() real ext-real set
((s |^ u) * n) - ((s |^ u) * s) is V11() real ext-real set
- ((s |^ u) * s) is V11() real ext-real set
((s |^ u) * n) + (- ((s |^ u) * s)) is V11() real ext-real set
(((n |^ u) * n) - ((n |^ u) * s)) - (((s |^ u) * n) - ((s |^ u) * s)) is V11() real ext-real set
- (((s |^ u) * n) - ((s |^ u) * s)) is V11() real ext-real set
(((n |^ u) * n) - ((n |^ u) * s)) + (- (((s |^ u) * n) - ((s |^ u) * s))) is V11() real ext-real set
(n |^ (u + 1)) - ((n |^ u) * s) is V11() real ext-real set
(n |^ (u + 1)) + (- ((n |^ u) * s)) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) - (((s |^ u) * n) - ((s |^ u) * s)) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) + (- (((s |^ u) * n) - ((s |^ u) * s))) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n) is V11() real ext-real set
- ((s |^ u) * n) is V11() real ext-real set
((n |^ (u + 1)) - ((n |^ u) * s)) + (- ((s |^ u) * n)) is V11() real ext-real set
(((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n)) + ((s |^ u) * s) is V11() real ext-real set
(((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n)) + (s |^ (u + 1)) is V11() real ext-real set
((n |^ u) * s) + ((s |^ u) * n) is V11() real ext-real set
0 + (((n |^ u) * s) + ((s |^ u) * n)) is V11() real ext-real Element of REAL
((((n |^ (u + 1)) - ((n |^ u) * s)) - ((s |^ u) * n)) + (s |^ (u + 1))) + (((n |^ u) * s) + ((s |^ u) * n)) is V11() real ext-real set
(((n |^ u) * s) + ((s |^ u) * n)) + ((n |^ (u + 1)) + (s |^ (u + 1))) is V11() real ext-real set
((n |^ (u + 1)) + (s |^ (u + 1))) + ((n |^ (u + 1)) + (s |^ (u + 1))) is V11() real ext-real set
(n |^ (u + 1)) + ((n |^ u) * s) is V11() real ext-real set
((n |^ (u + 1)) + ((n |^ u) * s)) + ((s |^ u) * n) is V11() real ext-real set
(((n |^ (u + 1)) + ((n |^ u) * s)) + ((s |^ u) * n)) + (s |^ (u + 1)) is V11() real ext-real set
2 * (n |^ (u + 1)) is V11() real ext-real Element of REAL
2 * (s |^ (u + 1)) is V11() real ext-real Element of REAL
(2 * (n |^ (u + 1))) + (2 * (s |^ (u + 1))) is V11() real ext-real Element of REAL
((n |^ u) * n) + ((n |^ u) * s) is V11() real ext-real set
(((n |^ u) * n) + ((n |^ u) * s)) + ((s |^ u) * n) is V11() real ext-real set
((((n |^ u) * n) + ((n |^ u) * s)) + ((s |^ u) * n)) + (s |^ (u + 1)) is V11() real ext-real set
((((n |^ u) * n) + ((n |^ u) * s)) + ((s |^ u) * n)) + ((s |^ u) * s) is V11() real ext-real set
((n |^ u) + (s |^ u)) * (n + s) is V11() real ext-real set
(((n |^ u) + (s |^ u)) * (n + s)) / 2 is V11() real ext-real Element of COMPLEX
(((n |^ u) + (s |^ u)) * (n + s)) * (2 ") is V11() real ext-real set
2 * ((n |^ (u + 1)) + (s |^ (u + 1))) is V11() real ext-real Element of REAL
(2 * ((n |^ (u + 1)) + (s |^ (u + 1)))) / 2 is V11() real ext-real Element of COMPLEX
(2 * ((n |^ (u + 1)) + (s |^ (u + 1)))) * (2 ") is V11() real ext-real set
(n + s) |^ u is V11() real ext-real set
2 |^ u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) |^ u) / (2 |^ u) is V11() real ext-real Element of COMPLEX
(2 |^ u) " is V11() real ext-real non negative set
((n + s) |^ u) * ((2 |^ u) ") is V11() real ext-real set
(((n + s) |^ u) / (2 |^ u)) * (n + s) is V11() real ext-real set
((n + s) |^ u) * (n + s) is V11() real ext-real set
(((n + s) |^ u) * (n + s)) / (2 |^ u) is V11() real ext-real Element of COMPLEX
(((n + s) |^ u) * (n + s)) * ((2 |^ u) ") is V11() real ext-real set
(n + s) |^ (u + 1) is V11() real ext-real set
((n + s) |^ (u + 1)) / (2 |^ u) is V11() real ext-real Element of COMPLEX
((n + s) |^ (u + 1)) * ((2 |^ u) ") is V11() real ext-real set
(((n + s) |^ (u + 1)) / (2 |^ u)) / 2 is V11() real ext-real Element of COMPLEX
(((n + s) |^ (u + 1)) / (2 |^ u)) * (2 ") is V11() real ext-real set
(2 |^ u) * 2 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) |^ (u + 1)) / ((2 |^ u) * 2) is V11() real ext-real Element of COMPLEX
((2 |^ u) * 2) " is V11() real ext-real non negative set
((n + s) |^ (u + 1)) * (((2 |^ u) * 2) ") is V11() real ext-real set
2 |^ (u + 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + s) |^ (u + 1)) / (2 |^ (u + 1)) is V11() real ext-real Element of COMPLEX
(2 |^ (u + 1)) " is V11() real ext-real non negative set
((n + s) |^ (u + 1)) * ((2 |^ (u + 1)) ") is V11() real ext-real set
n - s is V11() real ext-real set
- s is V1() V11() real ext-real non positive negative set
n + (- s) is V11() real ext-real set
n |^ 0 is V11() real ext-real set
s |^ 0 is V11() real ext-real set
(n |^ 0) + (s |^ 0) is V11() real ext-real set
((n |^ 0) + (s |^ 0)) / 2 is V11() real ext-real Element of COMPLEX
((n |^ 0) + (s |^ 0)) * (2 ") is V11() real ext-real set
1 + (s |^ 0) is V11() real ext-real Element of REAL
(1 + (s |^ 0)) / 2 is V11() real ext-real Element of COMPLEX
(1 + (s |^ 0)) * (2 ") is V11() real ext-real set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 + 1) * (2 ") is V1() V11() real ext-real positive non negative set
((n + s) / 2) |^ 0 is V11() real ext-real set
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (s + 1) is V11() real ext-real Element of REAL
n . (s + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) + (n . (s + 1)) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (s + 1) is V11() real ext-real Element of REAL
n . (s + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) + (n . (s + 1)) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s (#) s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
(s . (n + 1)) ^2 is V11() real ext-real Element of REAL
(s . (n + 1)) * (s . (n + 1)) is V11() real ext-real set
n . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . n) + (n . (n + 1)) is V11() real ext-real Element of REAL
((Partial_Sums n) . n) + ((s . (n + 1)) ^2) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(s . 0) ^2 is V11() real ext-real Element of REAL
(s . 0) * (s . 0) is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . n is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s . (n + 1) is V11() real ext-real Element of REAL
(n + 1) * (s . (n + 1)) is V11() real ext-real Element of REAL
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . (n + 1) is V11() real ext-real Element of REAL
(n + 1) * (s . (n + 1)) is V11() real ext-real Element of REAL
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(n + 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . ((n + 1) + 1) is V11() real ext-real Element of REAL
((n + 1) + 1) * (s . ((n + 1) + 1)) is V11() real ext-real Element of REAL
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
((n + 1) * (s . (n + 1))) + (s . (n + 1)) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real Element of REAL
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . (n + 2) is V11() real ext-real Element of REAL
(n + 2) - 1 is V11() real ext-real Element of REAL
- 1 is V1() V11() real ext-real non positive negative set
(n + 2) + (- 1) is V11() real ext-real set
s . ((n + 2) - 1) is V11() real ext-real Element of REAL
(n + 2) * (s . (n + 2)) is V11() real ext-real Element of REAL
(n + 2) * (s . (n + 1)) is V11() real ext-real Element of REAL
s . 1 is V11() real ext-real Element of REAL
1 - 1 is V11() real ext-real Element of REAL
- 1 is V1() V11() real ext-real non positive negative set
1 + (- 1) is V11() real ext-real set
s . (1 - 1) is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . (0 + 1) is V11() real ext-real Element of REAL
(0 + 1) * (s . (0 + 1)) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
(n + 1) * (s . (n + 1)) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . (n + 1) is V11() real ext-real Element of REAL
(n + 1) * (s . (n + 1)) is V11() real ext-real Element of REAL
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
(n + 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . ((n + 1) + 1) is V11() real ext-real Element of REAL
((n + 1) + 1) * (s . ((n + 1) + 1)) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real Element of REAL
((n + 1) * (s . (n + 1))) + (s . (n + 1)) is V11() real ext-real Element of REAL
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 2) - 1 is V11() real ext-real Element of REAL
- 1 is V1() V11() real ext-real non positive negative set
(n + 2) + (- 1) is V11() real ext-real set
s . ((n + 2) - 1) is V11() real ext-real Element of REAL
s . (n + 2) is V11() real ext-real Element of REAL
(n + 2) * (s . (n + 1)) is V11() real ext-real Element of REAL
(n + 2) * (s . (n + 2)) is V11() real ext-real Element of REAL
1 - 1 is V11() real ext-real Element of REAL
- 1 is V1() V11() real ext-real non positive negative set
1 + (- 1) is V11() real ext-real set
s . (1 - 1) is V11() real ext-real Element of REAL
s . 1 is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . (0 + 1) is V11() real ext-real Element of REAL
(0 + 1) * (s . (0 + 1)) is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s (#) n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . u is V11() real ext-real Element of REAL
(Partial_Sums s) . u is V11() real ext-real Element of REAL
(Partial_Sums n) . u is V11() real ext-real Element of REAL
((Partial_Sums s) . u) * ((Partial_Sums n) . u) is V11() real ext-real Element of REAL
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (u + 1) is V11() real ext-real Element of REAL
(Partial_Sums s) . (u + 1) is V11() real ext-real Element of REAL
(Partial_Sums n) . (u + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . (u + 1)) * ((Partial_Sums n) . (u + 1)) is V11() real ext-real Element of REAL
s . (u + 1) is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . u) + (s . (u + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums s) . u) + (s . (u + 1))) * ((Partial_Sums n) . (u + 1)) is V11() real ext-real Element of REAL
((Partial_Sums n) . u) + (n . (u + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums s) . u) + (s . (u + 1))) * (((Partial_Sums n) . u) + (n . (u + 1))) is V11() real ext-real Element of REAL
((Partial_Sums s) . u) * (n . (u + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums s) . u) * ((Partial_Sums n) . u)) + (((Partial_Sums s) . u) * (n . (u + 1))) is V11() real ext-real Element of REAL
(s . (u + 1)) * ((Partial_Sums n) . u) is V11() real ext-real Element of REAL
((((Partial_Sums s) . u) * ((Partial_Sums n) . u)) + (((Partial_Sums s) . u) * (n . (u + 1)))) + ((s . (u + 1)) * ((Partial_Sums n) . u)) is V11() real ext-real Element of REAL
(s . (u + 1)) * (n . (u + 1)) is V11() real ext-real Element of REAL
(((((Partial_Sums s) . u) * ((Partial_Sums n) . u)) + (((Partial_Sums s) . u) * (n . (u + 1)))) + ((s . (u + 1)) * ((Partial_Sums n) . u))) + ((s . (u + 1)) * (n . (u + 1))) is V11() real ext-real Element of REAL
((Partial_Sums n) . u) + ((s . (u + 1)) * (n . (u + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums s) . u) * ((Partial_Sums n) . u)) + ((s . (u + 1)) * (n . (u + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums s) . u) * (n . (u + 1))) + ((s . (u + 1)) * ((Partial_Sums n) . u)) is V11() real ext-real Element of REAL
((((Partial_Sums s) . u) * ((Partial_Sums n) . u)) + ((s . (u + 1)) * (n . (u + 1)))) + ((((Partial_Sums s) . u) * (n . (u + 1))) + ((s . (u + 1)) * ((Partial_Sums n) . u))) is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . u) + (n . (u + 1)) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
((Partial_Sums s) . 0) * ((Partial_Sums n) . 0) is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(s . 0) * ((Partial_Sums n) . 0) is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
(s . 0) * (n . 0) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . u is V11() real ext-real Element of REAL
(Partial_Sums s) . u is V11() real ext-real Element of REAL
(Partial_Sums n) . u is V11() real ext-real Element of REAL
((Partial_Sums s) . u) * ((Partial_Sums n) . u) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums n) . n is V11() real ext-real Element of REAL
u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n (#) u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums u) . n is V11() real ext-real Element of REAL
((Partial_Sums n) . n) * ((Partial_Sums u) . n) is V11() real ext-real Element of REAL
v is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . v is V11() real ext-real Element of REAL
(Partial_Sums n) . v is V11() real ext-real Element of REAL
(Partial_Sums u) . v is V11() real ext-real Element of REAL
((Partial_Sums n) . v) * ((Partial_Sums u) . v) is V11() real ext-real Element of REAL
v + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (v + 1) is V11() real ext-real Element of REAL
(Partial_Sums n) . (v + 1) is V11() real ext-real Element of REAL
(Partial_Sums u) . (v + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . (v + 1)) * ((Partial_Sums u) . (v + 1)) is V11() real ext-real Element of REAL
n . (v + 1) is V11() real ext-real Element of REAL
u . (v + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . v) + (n . (v + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . v) + (n . (v + 1))) * ((Partial_Sums u) . (v + 1)) is V11() real ext-real Element of REAL
((Partial_Sums u) . v) + (u . (v + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . v) + (n . (v + 1))) * (((Partial_Sums u) . v) + (u . (v + 1))) is V11() real ext-real Element of REAL
((Partial_Sums n) . v) * (u . (v + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . v) * ((Partial_Sums u) . v)) + (((Partial_Sums n) . v) * (u . (v + 1))) is V11() real ext-real Element of REAL
(n . (v + 1)) * ((Partial_Sums u) . v) is V11() real ext-real Element of REAL
((((Partial_Sums n) . v) * ((Partial_Sums u) . v)) + (((Partial_Sums n) . v) * (u . (v + 1)))) + ((n . (v + 1)) * ((Partial_Sums u) . v)) is V11() real ext-real Element of REAL
(n . (v + 1)) * (u . (v + 1)) is V11() real ext-real Element of REAL
(((((Partial_Sums n) . v) * ((Partial_Sums u) . v)) + (((Partial_Sums n) . v) * (u . (v + 1)))) + ((n . (v + 1)) * ((Partial_Sums u) . v))) + ((n . (v + 1)) * (u . (v + 1))) is V11() real ext-real Element of REAL
((Partial_Sums s) . v) + ((n . (v + 1)) * (u . (v + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . v) * ((Partial_Sums u) . v)) + ((n . (v + 1)) * (u . (v + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . v) * (u . (v + 1))) + ((n . (v + 1)) * ((Partial_Sums u) . v)) is V11() real ext-real Element of REAL
((((Partial_Sums n) . v) * ((Partial_Sums u) . v)) + ((n . (v + 1)) * (u . (v + 1)))) + ((((Partial_Sums n) . v) * (u . (v + 1))) + ((n . (v + 1)) * ((Partial_Sums u) . v))) is V11() real ext-real Element of REAL
s . (v + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . v) + (s . (v + 1)) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
(Partial_Sums u) . 0 is V11() real ext-real Element of REAL
((Partial_Sums n) . 0) * ((Partial_Sums u) . 0) is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
(n . 0) * ((Partial_Sums u) . 0) is V11() real ext-real Element of REAL
u . 0 is V11() real ext-real Element of REAL
(n . 0) * (u . 0) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
abs n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums (abs n) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . n is V11() real ext-real Element of REAL
abs ((Partial_Sums n) . n) is V11() real ext-real non negative Element of REAL
(Partial_Sums (abs n)) . n is V11() real ext-real Element of REAL
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . u is V11() real ext-real Element of REAL
abs ((Partial_Sums n) . u) is V11() real ext-real non negative Element of REAL
(Partial_Sums (abs n)) . u is V11() real ext-real Element of REAL
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (u + 1) is V11() real ext-real Element of REAL
abs ((Partial_Sums n) . (u + 1)) is V11() real ext-real non negative Element of REAL
(Partial_Sums (abs n)) . (u + 1) is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
abs (n . (u + 1)) is V11() real ext-real non negative Element of REAL
(abs ((Partial_Sums n) . u)) + (abs (n . (u + 1))) is V11() real ext-real non negative Element of REAL
((Partial_Sums (abs n)) . u) + (abs (n . (u + 1))) is V11() real ext-real Element of REAL
(abs n) . (u + 1) is V11() real ext-real Element of REAL
((Partial_Sums (abs n)) . u) + ((abs n) . (u + 1)) is V11() real ext-real Element of REAL
((Partial_Sums n) . u) + (n . (u + 1)) is V11() real ext-real Element of REAL
abs (((Partial_Sums n) . u) + (n . (u + 1))) is V11() real ext-real non negative Element of REAL
(abs n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
abs (n . 0) is V11() real ext-real non negative Element of REAL
(Partial_Sums (abs n)) . 0 is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
abs ((Partial_Sums n) . 0) is V11() real ext-real non negative Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
abs s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums (abs s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums (abs s)) . n is V11() real ext-real Element of REAL
abs ((Partial_Sums s) . n) is V11() real ext-real non negative Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n . 0 is V11() real ext-real Element of REAL
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n . 0 is V11() real ext-real Element of REAL
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . (u + 1) is V11() real ext-real Element of REAL
n . u is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
(n . u) * (n . (u + 1)) is V11() real ext-real Element of REAL
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n . 0 is V11() real ext-real Element of REAL
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . u is V11() real ext-real Element of REAL
n . u is V11() real ext-real Element of REAL
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . (u + 1) is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
(n . u) * (n . (u + 1)) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) . n is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
((s) . n) * (s . (n + 1)) is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(s) . 0 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) . n is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
((s) . n) * (s . (n + 1)) is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(s) . 0 is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(n) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . (s + 1) is V11() real ext-real Element of REAL
n . (s + 1) is V11() real ext-real Element of REAL
((n) . s) * (n . (s + 1)) is V11() real ext-real Element of REAL
(n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . s is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . n is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(n) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . (s + 1) is V11() real ext-real Element of REAL
n . (s + 1) is V11() real ext-real Element of REAL
((n) . s) * (n . (s + 1)) is V11() real ext-real Element of REAL
(n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . s is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(n) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n + s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
((n + s)) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
((n + s)) . 0 is V11() real ext-real Element of REAL
(n + s) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(n . 0) + (s . 0) is V11() real ext-real Element of REAL
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . u is V11() real ext-real Element of REAL
(s) . u is V11() real ext-real Element of REAL
((n) . u) + ((s) . u) is V11() real ext-real Element of REAL
((n + s)) . u is V11() real ext-real Element of REAL
u + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . (u + 1) is V11() real ext-real Element of REAL
(s) . (u + 1) is V11() real ext-real Element of REAL
((n) . (u + 1)) + ((s) . (u + 1)) is V11() real ext-real Element of REAL
((n + s)) . (u + 1) is V11() real ext-real Element of REAL
n . (u + 1) is V11() real ext-real Element of REAL
s . (u + 1) is V11() real ext-real Element of REAL
((n) . u) * (n . (u + 1)) is V11() real ext-real Element of REAL
((s) . u) * (s . (u + 1)) is V11() real ext-real Element of REAL
(((n) . u) * (n . (u + 1))) + (((s) . u) * (s . (u + 1))) is V11() real ext-real Element of REAL
((n) . u) * (s . (u + 1)) is V11() real ext-real Element of REAL
((s) . u) * (n . (u + 1)) is V11() real ext-real Element of REAL
(((n) . u) * (s . (u + 1))) + (((s) . u) * (n . (u + 1))) is V11() real ext-real Element of REAL
((((n) . u) * (n . (u + 1))) + (((s) . u) * (s . (u + 1)))) + ((((n) . u) * (s . (u + 1))) + (((s) . u) * (n . (u + 1)))) is V11() real ext-real Element of REAL
(n + s) . (u + 1) is V11() real ext-real Element of REAL
(((n + s)) . u) * ((n + s) . (u + 1)) is V11() real ext-real Element of REAL
(n . (u + 1)) + (s . (u + 1)) is V11() real ext-real Element of REAL
(((n + s)) . u) * ((n . (u + 1)) + (s . (u + 1))) is V11() real ext-real Element of REAL
(((n) . u) + ((s) . u)) * ((n . (u + 1)) + (s . (u + 1))) is V11() real ext-real Element of REAL
(((n) . u) * (n . (u + 1))) + ((s) . (u + 1)) is V11() real ext-real Element of REAL
(n) . 0 is V11() real ext-real Element of REAL
(s) . 0 is V11() real ext-real Element of REAL
((n) . 0) + ((s) . 0) is V11() real ext-real Element of REAL
(n . 0) + ((s) . 0) is V11() real ext-real Element of REAL
u is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n) . u is V11() real ext-real Element of REAL
(s) . u is V11() real ext-real Element of REAL
((n) . u) + ((s) . u) is V11() real ext-real Element of REAL
((n + s)) . u is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * n) + 4 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((3 * n) + 4) is V11() real ext-real Element of REAL
1 / (sqrt ((3 * n) + 4)) is V11() real ext-real Element of COMPLEX
(sqrt ((3 * n) + 4)) " is V11() real ext-real set
1 * ((sqrt ((3 * n) + 4)) ") is V11() real ext-real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) . n is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . n is V11() real ext-real Element of REAL
3 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * n) + 4 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((3 * n) + 4) is V11() real ext-real Element of REAL
1 / (sqrt ((3 * n) + 4)) is V11() real ext-real Element of COMPLEX
(sqrt ((3 * n) + 4)) " is V11() real ext-real set
1 * ((sqrt ((3 * n) + 4)) ") is V11() real ext-real set
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . (n + 1) is V11() real ext-real Element of REAL
3 * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (n + 1)) + 4 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((3 * (n + 1)) + 4) is V11() real ext-real Element of REAL
1 / (sqrt ((3 * (n + 1)) + 4)) is V11() real ext-real Element of COMPLEX
(sqrt ((3 * (n + 1)) + 4)) " is V11() real ext-real set
1 * ((sqrt ((3 * (n + 1)) + 4)) ") is V11() real ext-real set
2 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) + 3 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) + 4 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * n) + 3) / ((2 * n) + 4) is V1() V11() real ext-real positive non negative Element of COMPLEX
((2 * n) + 4) " is V1() V11() real ext-real positive non negative set
((2 * n) + 3) * (((2 * n) + 4) ") is V1() V11() real ext-real positive non negative set
((s) . n) * (((2 * n) + 3) / ((2 * n) + 4)) is V11() real ext-real Element of REAL
(1 / (sqrt ((3 * n) + 4))) * (((2 * n) + 3) / ((2 * n) + 4)) is V11() real ext-real Element of COMPLEX
1 * ((2 * n) + 3) is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(sqrt ((3 * n) + 4)) * ((2 * n) + 4) is V11() real ext-real Element of REAL
(1 * ((2 * n) + 3)) / ((sqrt ((3 * n) + 4)) * ((2 * n) + 4)) is V11() real ext-real Element of COMPLEX
((sqrt ((3 * n) + 4)) * ((2 * n) + 4)) " is V11() real ext-real set
(1 * ((2 * n) + 3)) * (((sqrt ((3 * n) + 4)) * ((2 * n) + 4)) ") is V11() real ext-real set
111 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
111 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
112 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
112 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
63 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(111 * n) + 63 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
64 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(112 * n) + 64 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ 3 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (n |^ 3) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n ^2 is V11() real ext-real set
n * n is ordinal natural V11() real ext-real non negative set
64 * (n ^2) is V11() real ext-real Element of REAL
(12 * (n |^ 3)) + (64 * (n ^2)) is V11() real ext-real Element of REAL
((12 * (n |^ 3)) + (64 * (n ^2))) + ((111 * n) + 63) is V11() real ext-real Element of REAL
((12 * (n |^ 3)) + (64 * (n ^2))) + ((112 * n) + 64) is V11() real ext-real Element of REAL
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ (2 + 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (n |^ (2 + 1)) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * (n * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (n |^ (2 + 1))) + (36 * (n * n)) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (n |^ (2 + 1))) + (36 * (n * n))) + (27 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
28 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
28 * (n ^2) is V11() real ext-real Element of REAL
(((12 * (n |^ (2 + 1))) + (36 * (n * n))) + (27 * n)) + (28 * (n ^2)) is V11() real ext-real Element of REAL
84 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
84 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (n |^ (2 + 1))) + (36 * (n * n))) + (27 * n)) + (28 * (n ^2))) + (84 * n) is V11() real ext-real Element of REAL
(((((12 * (n |^ (2 + 1))) + (36 * (n * n))) + (27 * n)) + (28 * (n ^2))) + (84 * n)) + 63 is V11() real ext-real Element of REAL
48 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
48 * (n ^2) is V11() real ext-real Element of REAL
(12 * (n |^ (2 + 1))) + (48 * (n ^2)) is V11() real ext-real Element of REAL
48 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (n |^ (2 + 1))) + (48 * (n ^2))) + (48 * n) is V11() real ext-real Element of REAL
16 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
16 * (n ^2) is V11() real ext-real Element of REAL
(((12 * (n |^ (2 + 1))) + (48 * (n ^2))) + (48 * n)) + (16 * (n ^2)) is V11() real ext-real Element of REAL
64 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (n |^ (2 + 1))) + (48 * (n ^2))) + (48 * n)) + (16 * (n ^2))) + (64 * n) is V11() real ext-real Element of REAL
(((((12 * (n |^ (2 + 1))) + (48 * (n ^2))) + (48 * n)) + (16 * (n ^2))) + (64 * n)) + 64 is V11() real ext-real Element of REAL
n |^ 2 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ 1 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n |^ 2) * (n |^ 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * ((n |^ 2) * (n |^ 1)) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * ((n |^ 2) * (n |^ 1))) + (36 * (n * n)) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * ((n |^ 2) * (n |^ 1))) + (36 * (n * n))) + (27 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * ((n |^ 2) * (n |^ 1))) + (36 * (n * n))) + (27 * n)) + (28 * (n ^2)) is V11() real ext-real Element of REAL
((((12 * ((n |^ 2) * (n |^ 1))) + (36 * (n * n))) + (27 * n)) + (28 * (n ^2))) + (84 * n) is V11() real ext-real Element of REAL
(((((12 * ((n |^ 2) * (n |^ 1))) + (36 * (n * n))) + (27 * n)) + (28 * (n ^2))) + (84 * n)) + 63 is V11() real ext-real Element of REAL
48 * (n * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (n |^ (2 + 1))) + (48 * (n * n)) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (n |^ (2 + 1))) + (48 * (n * n))) + (48 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (n |^ (2 + 1))) + (48 * (n * n))) + (48 * n)) + (16 * (n ^2)) is V11() real ext-real Element of REAL
((((12 * (n |^ (2 + 1))) + (48 * (n * n))) + (48 * n)) + (16 * (n ^2))) + (64 * n) is V11() real ext-real Element of REAL
(((((12 * (n |^ (2 + 1))) + (48 * (n * n))) + (48 * n)) + (16 * (n ^2))) + (64 * n)) + 64 is V11() real ext-real Element of REAL
4 * (n |^ 2) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (n |^ 2)) * 3 is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (n |^ 2)) * 3) * (n |^ 1) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * n) * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * (n |^ 2)) * 3) * (n |^ 1)) + ((36 * n) * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((4 * (n |^ 2)) * 3) * (n |^ 1)) + ((36 * n) * n)) + (27 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((4 * (n |^ 2)) * 3) * (n |^ 1)) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2)) is V11() real ext-real Element of REAL
((((((4 * (n |^ 2)) * 3) * (n |^ 1)) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2))) + (84 * n) is V11() real ext-real Element of REAL
(((((((4 * (n |^ 2)) * 3) * (n |^ 1)) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2))) + (84 * n)) + 63 is V11() real ext-real Element of REAL
(48 * n) * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (n |^ (2 + 1))) + ((48 * n) * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (n |^ (2 + 1))) + ((48 * n) * n)) + (48 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (n |^ (2 + 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2)) is V11() real ext-real Element of REAL
((((12 * (n |^ (2 + 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n) is V11() real ext-real Element of REAL
(((((12 * (n |^ (2 + 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n)) + 64 is V11() real ext-real Element of REAL
((4 * (n |^ 2)) * 3) * n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * (n |^ 2)) * 3) * n) + ((36 * n) * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((4 * (n |^ 2)) * 3) * n) + ((36 * n) * n)) + (27 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((4 * (n |^ 2)) * 3) * n) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2)) is V11() real ext-real Element of REAL
((((((4 * (n |^ 2)) * 3) * n) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2))) + (84 * n) is V11() real ext-real Element of REAL
(((((((4 * (n |^ 2)) * 3) * n) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2))) + (84 * n)) + 63 is V11() real ext-real Element of REAL
4 * (n ^2) is V11() real ext-real Element of REAL
(4 * (n ^2)) * 3 is V11() real ext-real Element of REAL
((4 * (n ^2)) * 3) * n is V11() real ext-real Element of REAL
(((4 * (n ^2)) * 3) * n) + ((36 * n) * n) is V11() real ext-real Element of REAL
((((4 * (n ^2)) * 3) * n) + ((36 * n) * n)) + (27 * n) is V11() real ext-real Element of REAL
(((((4 * (n ^2)) * 3) * n) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2)) is V11() real ext-real Element of REAL
((((((4 * (n ^2)) * 3) * n) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2))) + (84 * n) is V11() real ext-real Element of REAL
(((((((4 * (n ^2)) * 3) * n) + ((36 * n) * n)) + (27 * n)) + (28 * (n ^2))) + (84 * n)) + 63 is V11() real ext-real Element of REAL
(12 * ((n |^ 2) * (n |^ 1))) + ((48 * n) * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * ((n |^ 2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n) is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * ((n |^ 2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2)) is V11() real ext-real Element of REAL
((((12 * ((n |^ 2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n) is V11() real ext-real Element of REAL
(((((12 * ((n |^ 2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n)) + 64 is V11() real ext-real Element of REAL
(n ^2) * (n |^ 1) is V11() real ext-real Element of REAL
12 * ((n ^2) * (n |^ 1)) is V11() real ext-real Element of REAL
(12 * ((n ^2) * (n |^ 1))) + ((48 * n) * n) is V11() real ext-real Element of REAL
((12 * ((n ^2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n) is V11() real ext-real Element of REAL
(((12 * ((n ^2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2)) is V11() real ext-real Element of REAL
((((12 * ((n ^2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n) is V11() real ext-real Element of REAL
(((((12 * ((n ^2) * (n |^ 1))) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n)) + 64 is V11() real ext-real Element of REAL
(n ^2) * n is V11() real ext-real set
12 * ((n ^2) * n) is V11() real ext-real Element of REAL
(12 * ((n ^2) * n)) + ((48 * n) * n) is V11() real ext-real Element of REAL
((12 * ((n ^2) * n)) + ((48 * n) * n)) + (48 * n) is V11() real ext-real Element of REAL
(((12 * ((n ^2) * n)) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2)) is V11() real ext-real Element of REAL
((((12 * ((n ^2) * n)) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n) is V11() real ext-real Element of REAL
(((((12 * ((n ^2) * n)) + ((48 * n) * n)) + (48 * n)) + (16 * (n ^2))) + (64 * n)) + 64 is V11() real ext-real Element of REAL
((2 * n) + 3) ^2 is V11() real ext-real Element of REAL
((2 * n) + 3) * ((2 * n) + 3) is V1() ordinal natural V11() real ext-real positive non negative set
7 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * n) + 7 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * n) + 3) ^2) * ((3 * n) + 7) is V11() real ext-real Element of REAL
sqrt ((((2 * n) + 3) ^2) * ((3 * n) + 7)) is V11() real ext-real Element of REAL
((2 * n) + 4) ^2 is V11() real ext-real Element of REAL
((2 * n) + 4) * ((2 * n) + 4) is V1() ordinal natural V11() real ext-real positive non negative set
(((2 * n) + 4) ^2) * ((3 * n) + 4) is V11() real ext-real Element of REAL
sqrt ((((2 * n) + 4) ^2) * ((3 * n) + 4)) is V11() real ext-real Element of REAL
sqrt (((2 * n) + 3) ^2) is V11() real ext-real Element of REAL
sqrt ((3 * n) + 7) is V11() real ext-real Element of REAL
(sqrt (((2 * n) + 3) ^2)) * (sqrt ((3 * n) + 7)) is V11() real ext-real Element of REAL
sqrt (((2 * n) + 4) ^2) is V11() real ext-real Element of REAL
(sqrt (((2 * n) + 4) ^2)) * (sqrt ((3 * n) + 4)) is V11() real ext-real Element of REAL
((2 * n) + 3) * (sqrt ((3 * n) + 7)) is V11() real ext-real Element of REAL
((2 * n) + 4) * (sqrt ((3 * n) + 4)) is V11() real ext-real Element of REAL
(((2 * n) + 4) * (sqrt ((3 * n) + 4))) * 1 is V11() real ext-real Element of REAL
(1 * ((2 * n) + 3)) / (((2 * n) + 4) * (sqrt ((3 * n) + 4))) is V11() real ext-real Element of COMPLEX
(((2 * n) + 4) * (sqrt ((3 * n) + 4))) " is V11() real ext-real set
(1 * ((2 * n) + 3)) * ((((2 * n) + 4) * (sqrt ((3 * n) + 4))) ") is V11() real ext-real set
1 / (sqrt ((3 * n) + 7)) is V11() real ext-real Element of COMPLEX
(sqrt ((3 * n) + 7)) " is V11() real ext-real set
1 * ((sqrt ((3 * n) + 7)) ") is V11() real ext-real set
2 * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (n + 1)) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (n + 1)) + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (n + 1)) + 1) / ((2 * (n + 1)) + 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
((2 * (n + 1)) + 2) " is V1() V11() real ext-real positive non negative set
((2 * (n + 1)) + 1) * (((2 * (n + 1)) + 2) ") is V1() V11() real ext-real positive non negative set
((s) . n) * (((2 * (n + 1)) + 1) / ((2 * (n + 1)) + 2)) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
((s) . n) * (s . (n + 1)) is V11() real ext-real Element of REAL
(s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
2 * 0 is V1() ordinal natural V11() real ext-real non positive non negative V43() V56() V57() V58() V59() V60() V61() V62() V63() Element of NAT
(2 * 0) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 0) + 1) / ((2 * 0) + 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
((2 * 0) + 2) " is V1() V11() real ext-real positive non negative set
((2 * 0) + 1) * (((2 * 0) + 2) ") is V1() V11() real ext-real positive non negative set
3 * 0 is V1() ordinal natural V11() real ext-real non positive non negative V43() V56() V57() V58() V59() V60() V61() V62() V63() Element of NAT
(3 * 0) + 4 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((3 * 0) + 4) is V11() real ext-real Element of REAL
1 / (sqrt ((3 * 0) + 4)) is V11() real ext-real Element of COMPLEX
(sqrt ((3 * 0) + 4)) " is V11() real ext-real set
1 * ((sqrt ((3 * 0) + 4)) ") is V11() real ext-real set
- 1 is V1() V11() real ext-real non positive negative Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n . 1 is V11() real ext-real Element of REAL
((Partial_Sums n) . 0) * (n . 1) is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
(n . 0) * (n . 1) is V11() real ext-real Element of REAL
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . (s + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) * (n . (s + 1)) is V11() real ext-real Element of REAL
(Partial_Sums n) . (s + 1) is V11() real ext-real Element of REAL
(s + 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . ((s + 1) + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . (s + 1)) * (n . ((s + 1) + 1)) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) * 1 is V11() real ext-real Element of REAL
s + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . (s + 2) is V11() real ext-real Element of REAL
((Partial_Sums n) . (s + 1)) * (n . (s + 2)) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) + (n . (s + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . s) + (n . (s + 1))) * (n . (s + 2)) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) * (n . (s + 2)) is V11() real ext-real Element of REAL
(n . (s + 1)) * (n . (s + 2)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . s) * (n . (s + 2))) + ((n . (s + 1)) * (n . (s + 2))) is V11() real ext-real Element of REAL
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . (s + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) * (n . (s + 1)) is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . (0 + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . 0) * (n . (0 + 1)) is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(n) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(n) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . (n + 1)) is V11() real ext-real Element of REAL
(n) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
1 + (s . (n + 1)) is V11() real ext-real Element of REAL
((n) . n) * (1 + (s . (n + 1))) is V11() real ext-real Element of REAL
n . (n + 1) is V11() real ext-real Element of REAL
((n) . n) * (n . (n + 1)) is V11() real ext-real Element of REAL
(s . (n + 1)) + 1 is V11() real ext-real Element of REAL
(- 1) + 1 is V11() real ext-real Element of REAL
(1 + ((Partial_Sums s) . n)) * (1 + (s . (n + 1))) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) * (s . (n + 1)) is V11() real ext-real Element of REAL
(1 + (s . (n + 1))) + ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
0 + ((1 + (s . (n + 1))) + ((Partial_Sums s) . n)) is V11() real ext-real Element of REAL
(((Partial_Sums s) . n) * (s . (n + 1))) + ((1 + (s . (n + 1))) + ((Partial_Sums s) . n)) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real Element of REAL
1 + (((Partial_Sums s) . n) + (s . (n + 1))) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(n) . n is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . 0) is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . s is V11() real ext-real Element of REAL
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n . (s + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . s) * (n . (s + 1)) is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(n) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(n) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . (n + 1)) is V11() real ext-real Element of REAL
(n) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
1 + (s . (n + 1)) is V11() real ext-real Element of REAL
((n) . n) * (1 + (s . (n + 1))) is V11() real ext-real Element of REAL
n . (n + 1) is V11() real ext-real Element of REAL
((n) . n) * (n . (n + 1)) is V11() real ext-real Element of REAL
(s . (n + 1)) + 1 is V11() real ext-real Element of REAL
(- 1) + 1 is V11() real ext-real Element of REAL
(1 + ((Partial_Sums s) . n)) * (1 + (s . (n + 1))) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) * (s . (n + 1)) is V11() real ext-real Element of REAL
(1 + (s . (n + 1))) + ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
0 + ((1 + (s . (n + 1))) + ((Partial_Sums s) . n)) is V11() real ext-real Element of REAL
(((Partial_Sums s) . n) * (s . (n + 1))) + ((1 + (s . (n + 1))) + ((Partial_Sums s) . n)) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real Element of REAL
1 + (((Partial_Sums s) . n) + (s . (n + 1))) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
(n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . 0) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
1 + ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(n) . n is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s (#) s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s (#) n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n (#) n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
v is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums v is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
w is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . w is V11() real ext-real Element of REAL
((Partial_Sums n) . w) ^2 is V11() real ext-real Element of REAL
((Partial_Sums n) . w) * ((Partial_Sums n) . w) is V11() real ext-real set
(Partial_Sums u) . w is V11() real ext-real Element of REAL
(Partial_Sums v) . w is V11() real ext-real Element of REAL
((Partial_Sums u) . w) * ((Partial_Sums v) . w) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
(s . 0) * (n . 0) is V11() real ext-real Element of REAL
h is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . h is V11() real ext-real Element of REAL
((Partial_Sums n) . h) ^2 is V11() real ext-real Element of REAL
((Partial_Sums n) . h) * ((Partial_Sums n) . h) is V11() real ext-real set
(Partial_Sums u) . h is V11() real ext-real Element of REAL
(Partial_Sums v) . h is V11() real ext-real Element of REAL
((Partial_Sums u) . h) * ((Partial_Sums v) . h) is V11() real ext-real Element of REAL
h + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (h + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . (h + 1)) ^2 is V11() real ext-real Element of REAL
((Partial_Sums n) . (h + 1)) * ((Partial_Sums n) . (h + 1)) is V11() real ext-real set
(Partial_Sums u) . (h + 1) is V11() real ext-real Element of REAL
(Partial_Sums v) . (h + 1) is V11() real ext-real Element of REAL
((Partial_Sums u) . (h + 1)) * ((Partial_Sums v) . (h + 1)) is V11() real ext-real Element of REAL
s . (h + 1) is V11() real ext-real Element of REAL
n . (h + 1) is V11() real ext-real Element of REAL
abs ((Partial_Sums n) . h) is V11() real ext-real non negative Element of REAL
sqrt (((Partial_Sums u) . h) * ((Partial_Sums v) . h)) is V11() real ext-real Element of REAL
abs (n . (h + 1)) is V11() real ext-real non negative Element of REAL
abs (s . (h + 1)) is V11() real ext-real non negative Element of REAL
(abs (n . (h + 1))) * (abs (s . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * ((abs (n . (h + 1))) * (abs (s . (h + 1)))) is V11() real ext-real non negative Element of REAL
(2 * ((abs (n . (h + 1))) * (abs (s . (h + 1))))) * (abs ((Partial_Sums n) . h)) is V11() real ext-real non negative Element of REAL
(2 * ((abs (n . (h + 1))) * (abs (s . (h + 1))))) * (sqrt (((Partial_Sums u) . h) * ((Partial_Sums v) . h))) is V11() real ext-real Element of REAL
sqrt ((Partial_Sums v) . h) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums v) . h)) ^2 is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums v) . h)) * (sqrt ((Partial_Sums v) . h)) is V11() real ext-real set
sqrt ((Partial_Sums u) . h) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums u) . h)) * (n . (h + 1)) is V11() real ext-real Element of REAL
abs ((sqrt ((Partial_Sums u) . h)) * (n . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * (abs ((sqrt ((Partial_Sums u) . h)) * (n . (h + 1)))) is V11() real ext-real non negative Element of REAL
(sqrt ((Partial_Sums v) . h)) * (s . (h + 1)) is V11() real ext-real Element of REAL
abs ((sqrt ((Partial_Sums v) . h)) * (s . (h + 1))) is V11() real ext-real non negative Element of REAL
(2 * (abs ((sqrt ((Partial_Sums u) . h)) * (n . (h + 1))))) * (abs ((sqrt ((Partial_Sums v) . h)) * (s . (h + 1)))) is V11() real ext-real non negative Element of REAL
((sqrt ((Partial_Sums u) . h)) * (n . (h + 1))) ^2 is V11() real ext-real Element of REAL
((sqrt ((Partial_Sums u) . h)) * (n . (h + 1))) * ((sqrt ((Partial_Sums u) . h)) * (n . (h + 1))) is V11() real ext-real set
((sqrt ((Partial_Sums v) . h)) * (s . (h + 1))) ^2 is V11() real ext-real Element of REAL
((sqrt ((Partial_Sums v) . h)) * (s . (h + 1))) * ((sqrt ((Partial_Sums v) . h)) * (s . (h + 1))) is V11() real ext-real set
(((sqrt ((Partial_Sums u) . h)) * (n . (h + 1))) ^2) + (((sqrt ((Partial_Sums v) . h)) * (s . (h + 1))) ^2) is V11() real ext-real Element of REAL
abs (sqrt ((Partial_Sums u) . h)) is V11() real ext-real non negative Element of REAL
(abs (sqrt ((Partial_Sums u) . h))) * (abs (n . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * ((abs (sqrt ((Partial_Sums u) . h))) * (abs (n . (h + 1)))) is V11() real ext-real non negative Element of REAL
(2 * ((abs (sqrt ((Partial_Sums u) . h))) * (abs (n . (h + 1))))) * (abs ((sqrt ((Partial_Sums v) . h)) * (s . (h + 1)))) is V11() real ext-real non negative Element of REAL
abs (sqrt ((Partial_Sums v) . h)) is V11() real ext-real non negative Element of REAL
(abs (sqrt ((Partial_Sums v) . h))) * (abs (s . (h + 1))) is V11() real ext-real non negative Element of REAL
(2 * ((abs (sqrt ((Partial_Sums u) . h))) * (abs (n . (h + 1))))) * ((abs (sqrt ((Partial_Sums v) . h))) * (abs (s . (h + 1)))) is V11() real ext-real non negative Element of REAL
(sqrt ((Partial_Sums u) . h)) * (abs (n . (h + 1))) is V11() real ext-real Element of REAL
2 * ((sqrt ((Partial_Sums u) . h)) * (abs (n . (h + 1)))) is V11() real ext-real Element of REAL
(2 * ((sqrt ((Partial_Sums u) . h)) * (abs (n . (h + 1))))) * ((abs (sqrt ((Partial_Sums v) . h))) * (abs (s . (h + 1)))) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums v) . h)) * (abs (s . (h + 1))) is V11() real ext-real Element of REAL
(2 * ((sqrt ((Partial_Sums u) . h)) * (abs (n . (h + 1))))) * ((sqrt ((Partial_Sums v) . h)) * (abs (s . (h + 1)))) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums u) . h)) * (sqrt ((Partial_Sums v) . h)) is V11() real ext-real Element of REAL
2 * ((sqrt ((Partial_Sums u) . h)) * (sqrt ((Partial_Sums v) . h))) is V11() real ext-real Element of REAL
(2 * ((sqrt ((Partial_Sums u) . h)) * (sqrt ((Partial_Sums v) . h)))) * (abs (n . (h + 1))) is V11() real ext-real Element of REAL
((2 * ((sqrt ((Partial_Sums u) . h)) * (sqrt ((Partial_Sums v) . h)))) * (abs (n . (h + 1)))) * (abs (s . (h + 1))) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums u) . h)) ^2 is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums u) . h)) * (sqrt ((Partial_Sums u) . h)) is V11() real ext-real set
2 * (sqrt (((Partial_Sums u) . h) * ((Partial_Sums v) . h))) is V11() real ext-real Element of REAL
(2 * (sqrt (((Partial_Sums u) . h) * ((Partial_Sums v) . h)))) * (abs (n . (h + 1))) is V11() real ext-real Element of REAL
((2 * (sqrt (((Partial_Sums u) . h) * ((Partial_Sums v) . h)))) * (abs (n . (h + 1)))) * (abs (s . (h + 1))) is V11() real ext-real Element of REAL
(n . (h + 1)) ^2 is V11() real ext-real Element of REAL
(n . (h + 1)) * (n . (h + 1)) is V11() real ext-real set
((Partial_Sums u) . h) * ((n . (h + 1)) ^2) is V11() real ext-real Element of REAL
(s . (h + 1)) ^2 is V11() real ext-real Element of REAL
(s . (h + 1)) * (s . (h + 1)) is V11() real ext-real set
((Partial_Sums v) . h) * ((s . (h + 1)) ^2) is V11() real ext-real Element of REAL
(((Partial_Sums u) . h) * ((n . (h + 1)) ^2)) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2)) is V11() real ext-real Element of REAL
(abs ((Partial_Sums n) . h)) * (abs (n . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * ((abs ((Partial_Sums n) . h)) * (abs (n . (h + 1)))) is V11() real ext-real non negative Element of REAL
(2 * ((abs ((Partial_Sums n) . h)) * (abs (n . (h + 1))))) * (abs (s . (h + 1))) is V11() real ext-real non negative Element of REAL
((Partial_Sums n) . h) * (n . (h + 1)) is V11() real ext-real Element of REAL
abs (((Partial_Sums n) . h) * (n . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * (abs (((Partial_Sums n) . h) * (n . (h + 1)))) is V11() real ext-real non negative Element of REAL
(2 * (abs (((Partial_Sums n) . h) * (n . (h + 1))))) * (abs (s . (h + 1))) is V11() real ext-real non negative Element of REAL
(abs (((Partial_Sums n) . h) * (n . (h + 1)))) * (abs (s . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * ((abs (((Partial_Sums n) . h) * (n . (h + 1)))) * (abs (s . (h + 1)))) is V11() real ext-real non negative Element of REAL
(((Partial_Sums n) . h) * (n . (h + 1))) * (s . (h + 1)) is V11() real ext-real Element of REAL
abs ((((Partial_Sums n) . h) * (n . (h + 1))) * (s . (h + 1))) is V11() real ext-real non negative Element of REAL
2 * (abs ((((Partial_Sums n) . h) * (n . (h + 1))) * (s . (h + 1)))) is V11() real ext-real non negative Element of REAL
2 * ((((Partial_Sums n) . h) * (n . (h + 1))) * (s . (h + 1))) is V11() real ext-real Element of REAL
2 * ((Partial_Sums n) . h) is V11() real ext-real Element of REAL
(2 * ((Partial_Sums n) . h)) * (n . (h + 1)) is V11() real ext-real Element of REAL
((2 * ((Partial_Sums n) . h)) * (n . (h + 1))) * (s . (h + 1)) is V11() real ext-real Element of REAL
((((Partial_Sums u) . h) * ((n . (h + 1)) ^2)) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) - (((2 * ((Partial_Sums n) . h)) * (n . (h + 1))) * (s . (h + 1))) is V11() real ext-real Element of REAL
- (((2 * ((Partial_Sums n) . h)) * (n . (h + 1))) * (s . (h + 1))) is V11() real ext-real set
((((Partial_Sums u) . h) * ((n . (h + 1)) ^2)) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (- (((2 * ((Partial_Sums n) . h)) * (n . (h + 1))) * (s . (h + 1)))) is V11() real ext-real set
(((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2) is V11() real ext-real Element of REAL
- (((Partial_Sums n) . h) ^2) is V11() real ext-real set
(((Partial_Sums u) . h) * ((Partial_Sums v) . h)) + (- (((Partial_Sums n) . h) ^2)) is V11() real ext-real set
((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((((Partial_Sums u) . h) * ((n . (h + 1)) ^2)) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) - (((2 * ((Partial_Sums n) . h)) * (n . (h + 1))) * (s . (h + 1)))) is V11() real ext-real Element of REAL
n . (h + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . h) + (n . (h + 1)) is V11() real ext-real Element of REAL
(s . (h + 1)) * (n . (h + 1)) is V11() real ext-real Element of REAL
((Partial_Sums n) . h) + ((s . (h + 1)) * (n . (h + 1))) is V11() real ext-real Element of REAL
(2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . h) ^2) + ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1)))) is V11() real ext-real Element of REAL
((s . (h + 1)) * (n . (h + 1))) ^2 is V11() real ext-real Element of REAL
((s . (h + 1)) * (n . (h + 1))) * ((s . (h + 1)) * (n . (h + 1))) is V11() real ext-real set
((((Partial_Sums n) . h) ^2) + ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1))))) + (((s . (h + 1)) * (n . (h + 1))) ^2) is V11() real ext-real Element of REAL
u . (h + 1) is V11() real ext-real Element of REAL
((Partial_Sums u) . h) + (u . (h + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums u) . h) + (u . (h + 1))) * ((Partial_Sums v) . (h + 1)) is V11() real ext-real Element of REAL
v . (h + 1) is V11() real ext-real Element of REAL
((Partial_Sums v) . h) + (v . (h + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums u) . h) + (u . (h + 1))) * (((Partial_Sums v) . h) + (v . (h + 1))) is V11() real ext-real Element of REAL
(s . (h + 1)) * (s . (h + 1)) is V11() real ext-real Element of REAL
((Partial_Sums u) . h) + ((s . (h + 1)) * (s . (h + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums u) . h) + ((s . (h + 1)) * (s . (h + 1)))) * (((Partial_Sums v) . h) + (v . (h + 1))) is V11() real ext-real Element of REAL
(n . (h + 1)) * (n . (h + 1)) is V11() real ext-real Element of REAL
((Partial_Sums v) . h) + ((n . (h + 1)) * (n . (h + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums u) . h) + ((s . (h + 1)) * (s . (h + 1)))) * (((Partial_Sums v) . h) + ((n . (h + 1)) * (n . (h + 1)))) is V11() real ext-real Element of REAL
(((Partial_Sums u) . h) * ((Partial_Sums v) . h)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2)) is V11() real ext-real Element of REAL
((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2)) is V11() real ext-real Element of REAL
((s . (h + 1)) ^2) * ((n . (h + 1)) ^2) is V11() real ext-real Element of REAL
(((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (((s . (h + 1)) ^2) * ((n . (h + 1)) ^2)) is V11() real ext-real Element of REAL
(((Partial_Sums u) . (h + 1)) * ((Partial_Sums v) . (h + 1))) - (((Partial_Sums n) . (h + 1)) ^2) is V11() real ext-real Element of REAL
- (((Partial_Sums n) . (h + 1)) ^2) is V11() real ext-real set
(((Partial_Sums u) . (h + 1)) * ((Partial_Sums v) . (h + 1))) + (- (((Partial_Sums n) . (h + 1)) ^2)) is V11() real ext-real set
((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2)) is V11() real ext-real Element of REAL
(((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2)) is V11() real ext-real Element of REAL
((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (((s . (h + 1)) ^2) * ((n . (h + 1)) ^2)) is V11() real ext-real Element of REAL
(((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (((s . (h + 1)) ^2) * ((n . (h + 1)) ^2))) - ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1)))) is V11() real ext-real Element of REAL
- ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1)))) is V11() real ext-real set
(((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (((s . (h + 1)) ^2) * ((n . (h + 1)) ^2))) + (- ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1))))) is V11() real ext-real set
((((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (((s . (h + 1)) ^2) * ((n . (h + 1)) ^2))) - ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1))))) - (((s . (h + 1)) * (n . (h + 1))) ^2) is V11() real ext-real Element of REAL
- (((s . (h + 1)) * (n . (h + 1))) ^2) is V11() real ext-real set
((((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (((s . (h + 1)) ^2) * ((n . (h + 1)) ^2))) - ((2 * ((Partial_Sums n) . h)) * ((s . (h + 1)) * (n . (h + 1))))) + (- (((s . (h + 1)) * (n . (h + 1))) ^2)) is V11() real ext-real set
(2 * ((Partial_Sums n) . h)) * (s . (h + 1)) is V11() real ext-real Element of REAL
((2 * ((Partial_Sums n) . h)) * (s . (h + 1))) * (n . (h + 1)) is V11() real ext-real Element of REAL
((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) - (((2 * ((Partial_Sums n) . h)) * (s . (h + 1))) * (n . (h + 1))) is V11() real ext-real Element of REAL
- (((2 * ((Partial_Sums n) . h)) * (s . (h + 1))) * (n . (h + 1))) is V11() real ext-real set
((((((Partial_Sums u) . h) * ((Partial_Sums v) . h)) - (((Partial_Sums n) . h) ^2)) + (((Partial_Sums u) . h) * ((n . (h + 1)) ^2))) + (((Partial_Sums v) . h) * ((s . (h + 1)) ^2))) + (- (((2 * ((Partial_Sums n) . h)) * (s . (h + 1))) * (n . (h + 1)))) is V11() real ext-real set
0 + (((Partial_Sums n) . (h + 1)) ^2) is V11() real ext-real Element of REAL
((((Partial_Sums u) . (h + 1)) * ((Partial_Sums v) . (h + 1))) - (((Partial_Sums n) . (h + 1)) ^2)) + (((Partial_Sums n) . (h + 1)) ^2) is V11() real ext-real Element of REAL
(Partial_Sums u) . 0 is V11() real ext-real Element of REAL
(Partial_Sums v) . 0 is V11() real ext-real Element of REAL
((Partial_Sums u) . 0) * ((Partial_Sums v) . 0) is V11() real ext-real Element of REAL
u . 0 is V11() real ext-real Element of REAL
(u . 0) * ((Partial_Sums v) . 0) is V11() real ext-real Element of REAL
v . 0 is V11() real ext-real Element of REAL
(u . 0) * (v . 0) is V11() real ext-real Element of REAL
(s . 0) * (s . 0) is V11() real ext-real Element of REAL
((s . 0) * (s . 0)) * (v . 0) is V11() real ext-real Element of REAL
(s . 0) ^2 is V11() real ext-real Element of REAL
(s . 0) * (s . 0) is V11() real ext-real set
(n . 0) ^2 is V11() real ext-real Element of REAL
(n . 0) * (n . 0) is V11() real ext-real set
((s . 0) ^2) * ((n . 0) ^2) is V11() real ext-real Element of REAL
((Partial_Sums n) . 0) ^2 is V11() real ext-real Element of REAL
((Partial_Sums n) . 0) * ((Partial_Sums n) . 0) is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
v is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . v is V11() real ext-real Element of REAL
n . v is V11() real ext-real Element of REAL
u . v is V11() real ext-real Element of REAL
(n . v) + (u . v) is V11() real ext-real Element of REAL
((n . v) + (u . v)) ^2 is V11() real ext-real Element of REAL
((n . v) + (u . v)) * ((n . v) + (u . v)) is V11() real ext-real set
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s (#) s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
u (#) u is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
v is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
Partial_Sums v is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
w is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums v) . w is V11() real ext-real Element of REAL
sqrt ((Partial_Sums v) . w) is V11() real ext-real Element of REAL
(Partial_Sums n) . w is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(Partial_Sums n) . w is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . w)) + (sqrt ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
w + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums v) . (w + 1) is V11() real ext-real Element of REAL
sqrt ((Partial_Sums v) . (w + 1)) is V11() real ext-real Element of REAL
(Partial_Sums n) . (w + 1) is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . (w + 1)) is V11() real ext-real Element of REAL
(Partial_Sums n) . (w + 1) is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . (w + 1)) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . (w + 1))) + (sqrt ((Partial_Sums n) . (w + 1))) is V11() real ext-real Element of REAL
u . (w + 1) is V11() real ext-real Element of REAL
s . (w + 1) is V11() real ext-real Element of REAL
(u . (w + 1)) ^2 is V11() real ext-real Element of REAL
(u . (w + 1)) * (u . (w + 1)) is V11() real ext-real set
((Partial_Sums n) . w) + ((u . (w + 1)) ^2) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) * ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums v) . w)) ^2 is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums v) . w)) * (sqrt ((Partial_Sums v) . w)) is V11() real ext-real set
((sqrt ((Partial_Sums n) . w)) + (sqrt ((Partial_Sums n) . w))) ^2 is V11() real ext-real Element of REAL
((sqrt ((Partial_Sums n) . w)) + (sqrt ((Partial_Sums n) . w))) * ((sqrt ((Partial_Sums n) . w)) + (sqrt ((Partial_Sums n) . w))) is V11() real ext-real set
(sqrt ((Partial_Sums n) . w)) ^2 is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . w)) * (sqrt ((Partial_Sums n) . w)) is V11() real ext-real set
2 * (sqrt ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
(2 * (sqrt ((Partial_Sums n) . w))) * (sqrt ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
((sqrt ((Partial_Sums n) . w)) ^2) + ((2 * (sqrt ((Partial_Sums n) . w))) * (sqrt ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . w)) ^2 is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . w)) * (sqrt ((Partial_Sums n) . w)) is V11() real ext-real set
(((sqrt ((Partial_Sums n) . w)) ^2) + ((2 * (sqrt ((Partial_Sums n) . w))) * (sqrt ((Partial_Sums n) . w)))) + ((sqrt ((Partial_Sums n) . w)) ^2) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) + ((2 * (sqrt ((Partial_Sums n) . w))) * (sqrt ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((2 * (sqrt ((Partial_Sums n) . w))) * (sqrt ((Partial_Sums n) . w)))) + ((sqrt ((Partial_Sums n) . w)) ^2) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((2 * (sqrt ((Partial_Sums n) . w))) * (sqrt ((Partial_Sums n) . w)))) + ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
2 * (s . (w + 1)) is V11() real ext-real Element of REAL
(2 * (s . (w + 1))) * (u . (w + 1)) is V11() real ext-real Element of REAL
((Partial_Sums v) . w) + ((2 * (s . (w + 1))) * (u . (w + 1))) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) + ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . w)) * (sqrt ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
2 * ((sqrt ((Partial_Sums n) . w)) * (sqrt ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + (2 * ((sqrt ((Partial_Sums n) . w)) * (sqrt ((Partial_Sums n) . w)))) is V11() real ext-real Element of REAL
((((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + (2 * ((sqrt ((Partial_Sums n) . w)) * (sqrt ((Partial_Sums n) . w))))) + ((2 * (s . (w + 1))) * (u . (w + 1))) is V11() real ext-real Element of REAL
2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + (2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) is V11() real ext-real Element of REAL
((((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + (2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))))) + ((2 * (s . (w + 1))) * (u . (w + 1))) is V11() real ext-real Element of REAL
(s . (w + 1)) ^2 is V11() real ext-real Element of REAL
(s . (w + 1)) * (s . (w + 1)) is V11() real ext-real set
((Partial_Sums n) . w) + ((s . (w + 1)) ^2) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) is V11() real ext-real Element of REAL
((s . (w + 1)) ^2) * ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
((u . (w + 1)) ^2) * ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(((s . (w + 1)) ^2) * ((Partial_Sums n) . w)) * (((u . (w + 1)) ^2) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
sqrt ((((s . (w + 1)) ^2) * ((Partial_Sums n) . w)) * (((u . (w + 1)) ^2) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
2 * (sqrt ((((s . (w + 1)) ^2) * ((Partial_Sums n) . w)) * (((u . (w + 1)) ^2) * ((Partial_Sums n) . w)))) is V11() real ext-real Element of REAL
(((s . (w + 1)) ^2) * ((Partial_Sums n) . w)) + (((u . (w + 1)) ^2) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
((s . (w + 1)) ^2) * ((u . (w + 1)) ^2) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) * ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) * (((Partial_Sums n) . w) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
sqrt ((((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) * (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
2 * (sqrt ((((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) * (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) is V11() real ext-real Element of REAL
sqrt (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
(sqrt (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
2 * ((sqrt (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) is V11() real ext-real Element of REAL
2 * (sqrt (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
(2 * (sqrt (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
sqrt ((s . (w + 1)) ^2) is V11() real ext-real Element of REAL
sqrt ((u . (w + 1)) ^2) is V11() real ext-real Element of REAL
(sqrt ((s . (w + 1)) ^2)) * (sqrt ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
2 * ((sqrt ((s . (w + 1)) ^2)) * (sqrt ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
(2 * ((sqrt ((s . (w + 1)) ^2)) * (sqrt ((u . (w + 1)) ^2)))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
2 * (sqrt ((s . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(2 * (sqrt ((s . (w + 1)) ^2))) * (sqrt ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
((2 * (sqrt ((s . (w + 1)) ^2))) * (sqrt ((u . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(2 * (s . (w + 1))) * (sqrt ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
((2 * (s . (w + 1))) * (sqrt ((u . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
((2 * (s . (w + 1))) * (u . (w + 1))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(((2 * (s . (w + 1))) * (u . (w + 1))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) + ((((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
((((s . (w + 1)) ^2) * ((Partial_Sums n) . w)) + (((u . (w + 1)) ^2) * ((Partial_Sums n) . w))) + ((((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real Element of REAL
(s . (w + 1)) * (u . (w + 1)) is V11() real ext-real Element of REAL
(2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) * ((s . (w + 1)) * (u . (w + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + ((2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) * ((s . (w + 1)) * (u . (w + 1)))) is V11() real ext-real Element of REAL
((((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + ((2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) * ((s . (w + 1)) * (u . (w + 1))))) + (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + (((u . (w + 1)) ^2) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
((((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + (((u . (w + 1)) ^2) * ((Partial_Sums n) . w))) + (((s . (w + 1)) ^2) * ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
(((((Partial_Sums n) . w) * ((Partial_Sums n) . w)) + (((u . (w + 1)) ^2) * ((Partial_Sums n) . w))) + (((s . (w + 1)) ^2) * ((Partial_Sums n) . w))) + (((s . (w + 1)) ^2) * ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) + ((s . (w + 1)) * (u . (w + 1))) is V11() real ext-real Element of REAL
((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) + ((s . (w + 1)) * (u . (w + 1)))) ^2 is V11() real ext-real Element of REAL
((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) + ((s . (w + 1)) * (u . (w + 1)))) * ((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) + ((s . (w + 1)) * (u . (w + 1)))) is V11() real ext-real set
(sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) ^2 is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) is V11() real ext-real set
((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) ^2) + ((2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) * ((s . (w + 1)) * (u . (w + 1)))) is V11() real ext-real Element of REAL
((s . (w + 1)) * (u . (w + 1))) ^2 is V11() real ext-real Element of REAL
((s . (w + 1)) * (u . (w + 1))) * ((s . (w + 1)) * (u . (w + 1))) is V11() real ext-real set
(((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) ^2) + ((2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) * ((s . (w + 1)) * (u . (w + 1))))) + (((s . (w + 1)) * (u . (w + 1))) ^2) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
sqrt (((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) + ((s . (w + 1)) * (u . (w + 1)))) ^2) is V11() real ext-real Element of REAL
sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
2 * ((sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w))) + ((s . (w + 1)) * (u . (w + 1)))) is V11() real ext-real Element of REAL
2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))) is V11() real ext-real Element of REAL
(2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) + ((2 * (s . (w + 1))) * (u . (w + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + ((2 * (sqrt (((Partial_Sums n) . w) * ((Partial_Sums n) . w)))) + ((2 * (s . (w + 1))) * (u . (w + 1)))) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))))) is V11() real ext-real Element of REAL
((s . (w + 1)) ^2) + ((u . (w + 1)) ^2) is V11() real ext-real Element of REAL
(((Partial_Sums v) . w) + ((2 * (s . (w + 1))) * (u . (w + 1)))) + (((s . (w + 1)) ^2) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
((((Partial_Sums n) . w) + ((Partial_Sums n) . w)) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))))) + (((s . (w + 1)) ^2) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
((s . (w + 1)) ^2) + ((2 * (s . (w + 1))) * (u . (w + 1))) is V11() real ext-real Element of REAL
(((s . (w + 1)) ^2) + ((2 * (s . (w + 1))) * (u . (w + 1)))) + ((u . (w + 1)) ^2) is V11() real ext-real Element of REAL
((Partial_Sums v) . w) + ((((s . (w + 1)) ^2) + ((2 * (s . (w + 1))) * (u . (w + 1)))) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))))) is V11() real ext-real Element of REAL
((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))))) + (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(s . (w + 1)) + (u . (w + 1)) is V11() real ext-real Element of REAL
((s . (w + 1)) + (u . (w + 1))) ^2 is V11() real ext-real Element of REAL
((s . (w + 1)) + (u . (w + 1))) * ((s . (w + 1)) + (u . (w + 1))) is V11() real ext-real set
((Partial_Sums v) . w) + (((s . (w + 1)) + (u . (w + 1))) ^2) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) ^2 is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) is V11() real ext-real set
((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) ^2) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))))) is V11() real ext-real Element of REAL
(((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) ^2) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))))) + (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) ^2 is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) is V11() real ext-real set
(((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) ^2) + (2 * (sqrt ((((Partial_Sums n) . w) + ((s . (w + 1)) ^2)) * (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))))) + ((sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) ^2) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
2 * ((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))) is V11() real ext-real Element of REAL
((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) ^2) + (2 * ((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))))) is V11() real ext-real Element of REAL
(((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) ^2) + (2 * ((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) * (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))))) + ((sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) ^2) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums v) . w) + (((s . (w + 1)) + (u . (w + 1))) ^2)) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) + (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2))) is V11() real ext-real Element of REAL
((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) + (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))) ^2 is V11() real ext-real Element of REAL
((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) + (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))) * ((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) + (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))) is V11() real ext-real set
sqrt (((sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) ^2))) + (sqrt (((Partial_Sums n) . w) + ((u . (w + 1)) ^2)))) ^2) is V11() real ext-real Element of REAL
v . (w + 1) is V11() real ext-real Element of REAL
((Partial_Sums v) . w) + (v . (w + 1)) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums v) . w) + (v . (w + 1))) is V11() real ext-real Element of REAL
n . (w + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) + (n . (w + 1)) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) + (n . (w + 1))) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + (n . (w + 1)))) + (sqrt ((Partial_Sums n) . (w + 1))) is V11() real ext-real Element of REAL
n . (w + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) + (n . (w + 1)) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) + (n . (w + 1))) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + (n . (w + 1)))) + (sqrt (((Partial_Sums n) . w) + (n . (w + 1)))) is V11() real ext-real Element of REAL
(s . (w + 1)) * (s . (w + 1)) is V11() real ext-real Element of REAL
((Partial_Sums n) . w) + ((s . (w + 1)) * (s . (w + 1))) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) * (s . (w + 1)))) is V11() real ext-real Element of REAL
(sqrt (((Partial_Sums n) . w) + ((s . (w + 1)) * (s . (w + 1))))) + (sqrt (((Partial_Sums n) . w) + (n . (w + 1)))) is V11() real ext-real Element of REAL
u . 0 is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . 0) is V11() real ext-real Element of REAL
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . 0) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . 0)) + (sqrt ((Partial_Sums n) . 0)) is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
sqrt (n . 0) is V11() real ext-real Element of REAL
(sqrt (n . 0)) + (sqrt ((Partial_Sums n) . 0)) is V11() real ext-real Element of REAL
n . 0 is V11() real ext-real Element of REAL
sqrt (n . 0) is V11() real ext-real Element of REAL
(sqrt (n . 0)) + (sqrt (n . 0)) is V11() real ext-real Element of REAL
(s . 0) * (s . 0) is V11() real ext-real Element of REAL
sqrt ((s . 0) * (s . 0)) is V11() real ext-real Element of REAL
(sqrt ((s . 0) * (s . 0))) + (sqrt (n . 0)) is V11() real ext-real Element of REAL
(s . 0) ^2 is V11() real ext-real Element of REAL
(s . 0) * (s . 0) is V11() real ext-real set
sqrt ((s . 0) ^2) is V11() real ext-real Element of REAL
(u . 0) * (u . 0) is V11() real ext-real Element of REAL
sqrt ((u . 0) * (u . 0)) is V11() real ext-real Element of REAL
(sqrt ((s . 0) ^2)) + (sqrt ((u . 0) * (u . 0))) is V11() real ext-real Element of REAL
(u . 0) ^2 is V11() real ext-real Element of REAL
(u . 0) * (u . 0) is V11() real ext-real set
sqrt ((u . 0) ^2) is V11() real ext-real Element of REAL
(s . 0) + (sqrt ((u . 0) ^2)) is V11() real ext-real Element of REAL
(s . 0) + (u . 0) is V11() real ext-real Element of REAL
((s . 0) + (u . 0)) ^2 is V11() real ext-real Element of REAL
((s . 0) + (u . 0)) * ((s . 0) + (u . 0)) is V11() real ext-real set
sqrt (((s . 0) + (u . 0)) ^2) is V11() real ext-real Element of REAL
v . 0 is V11() real ext-real Element of REAL
sqrt (v . 0) is V11() real ext-real Element of REAL
(Partial_Sums v) . 0 is V11() real ext-real Element of REAL
sqrt ((Partial_Sums v) . 0) is V11() real ext-real Element of REAL
w is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums v) . w is V11() real ext-real Element of REAL
sqrt ((Partial_Sums v) . w) is V11() real ext-real Element of REAL
(Partial_Sums n) . w is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(Partial_Sums n) . w is V11() real ext-real Element of REAL
sqrt ((Partial_Sums n) . w) is V11() real ext-real Element of REAL
(sqrt ((Partial_Sums n) . w)) + (sqrt ((Partial_Sums n) . w)) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) . n is V11() real ext-real Element of REAL
(n + 1) -root ((s) . n) is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 1) -Root ((s) . n) is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
s . (n + 1) is V11() real ext-real Element of REAL
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
((Partial_Sums s) . n) / (n + 1) is V11() real ext-real Element of COMPLEX
(n + 1) " is V1() V11() real ext-real positive non negative set
((Partial_Sums s) . n) * ((n + 1) ") is V11() real ext-real set
(s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1)) is V11() real ext-real Element of REAL
- (((Partial_Sums s) . n) / (n + 1)) is V11() real ext-real set
(s . (n + 1)) + (- (((Partial_Sums s) . n) / (n + 1))) is V11() real ext-real set
((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
(n + 2) " is V1() V11() real ext-real positive non negative set
((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) * ((n + 2) ") is V11() real ext-real set
(n + 1) * (s . (n + 1)) is V11() real ext-real Element of REAL
((n + 1) * (s . (n + 1))) / (n + 1) is V11() real ext-real Element of COMPLEX
((n + 1) * (s . (n + 1))) * ((n + 1) ") is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(s) . n is V11() real ext-real Element of REAL
(n + 1) -root ((s) . n) is V11() real ext-real Element of REAL
(n + 1) * ((n + 1) -root ((s) . n)) is V11() real ext-real Element of REAL
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V33() V34() V35() Element of K6(K7(NAT,REAL))
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . n is V11() real ext-real Element of REAL
(n + 1) -root ((s) . n) is V11() real ext-real Element of REAL
(n + 1) * ((n + 1) -root ((s) . n)) is V11() real ext-real Element of REAL
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(n + 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . (n + 1) is V11() real ext-real Element of REAL
((n + 1) + 1) -root ((s) . (n + 1)) is V11() real ext-real Element of REAL
((n + 1) + 1) * (((n + 1) + 1) -root ((s) . (n + 1))) is V11() real ext-real Element of REAL
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
s . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) / (n + 1) is V11() real ext-real Element of COMPLEX
(n + 1) " is V1() V11() real ext-real positive non negative set
((Partial_Sums s) . n) * ((n + 1) ") is V11() real ext-real set
(s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1)) is V11() real ext-real Element of REAL
- (((Partial_Sums s) . n) / (n + 1)) is V11() real ext-real set
(s . (n + 1)) + (- (((Partial_Sums s) . n) / (n + 1))) is V11() real ext-real set
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
(n + 2) " is V1() V11() real ext-real positive non negative set
((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) * ((n + 2) ") is V11() real ext-real set
(((Partial_Sums s) . n) / (n + 1)) + (((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2)) is V11() real ext-real Element of COMPLEX
((((Partial_Sums s) . n) / (n + 1)) + (((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2))) |^ (n + 2) is V11() real ext-real set
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + 1) * ((n + 1) -root ((s) . n))) / (n + 1) is V11() real ext-real Element of COMPLEX
((n + 1) * ((n + 1) -root ((s) . n))) * ((n + 1) ") is V11() real ext-real set
((n + 1) -root ((s) . n)) |^ (n + 1) is V11() real ext-real Element of REAL
(((Partial_Sums s) . n) / (n + 1)) |^ (n + 1) is V11() real ext-real set
(n + 1) -Root ((s) . n) is V11() real ext-real Element of REAL
((s) . n) * (s . (n + 1)) is V11() real ext-real Element of REAL
((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * (s . (n + 1)) is V11() real ext-real Element of REAL
(((Partial_Sums s) . n) / (n + 1)) |^ ((n + 1) + 1) is V11() real ext-real set
(n + 2) * ((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) is V11() real ext-real Element of REAL
((n + 2) * ((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1))) * (((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2)) is V11() real ext-real Element of REAL
((((Partial_Sums s) . n) / (n + 1)) |^ ((n + 1) + 1)) + (((n + 2) * ((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1))) * (((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2))) is V11() real ext-real Element of REAL
((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * (((Partial_Sums s) . n) / (n + 1)) is V11() real ext-real set
(((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2)) * (n + 2) is V11() real ext-real Element of REAL
((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * ((((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2)) * (n + 2)) is V11() real ext-real Element of REAL
(((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * (((Partial_Sums s) . n) / (n + 1))) + (((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * ((((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2)) * (n + 2))) is V11() real ext-real Element of REAL
((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * ((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) is V11() real ext-real Element of REAL
(((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * (((Partial_Sums s) . n) / (n + 1))) + (((((Partial_Sums s) . n) / (n + 1)) |^ (n + 1)) * ((s . (n + 1)) - (((Partial_Sums s) . n) / (n + 1)))) is V11() real ext-real Element of REAL
((Partial_Sums s) . (n + 1)) / (n + 2) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . (n + 1)) * ((n + 2) ") is V11() real ext-real set
1 * ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(1 * ((Partial_Sums s) . n)) + (s . (n + 1)) is V11() real ext-real Element of REAL
((1 * ((Partial_Sums s) . n)) + (s . (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
((1 * ((Partial_Sums s) . n)) + (s . (n + 1))) * ((n + 2) ") is V11() real ext-real set
(n + 1) / (n + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n + 1) * ((n + 1) ") is V1() V11() real ext-real positive non negative set
((n + 1) / (n + 1)) * ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(((n + 1) / (n + 1)) * ((Partial_Sums s) . n)) + (s . (n + 1)) is V11() real ext-real Element of REAL
((((n + 1) / (n + 1)) * ((Partial_Sums s) . n)) + (s . (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
((((n + 1) / (n + 1)) * ((Partial_Sums s) . n)) + (s . (n + 1))) * ((n + 2) ") is V11() real ext-real set
(n + 2) - 1 is V11() real ext-real Element of REAL
- 1 is V1() V11() real ext-real non positive negative set
(n + 2) + (- 1) is V11() real ext-real set
((n + 2) - 1) * ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
(((n + 2) - 1) * ((Partial_Sums s) . n)) / (n + 1) is V11() real ext-real Element of COMPLEX
(((n + 2) - 1) * ((Partial_Sums s) . n)) * ((n + 1) ") is V11() real ext-real set
((((n + 2) - 1) * ((Partial_Sums s) . n)) / (n + 1)) + (s . (n + 1)) is V11() real ext-real Element of REAL
(((((n + 2) - 1) * ((Partial_Sums s) . n)) / (n + 1)) + (s . (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
(((((n + 2) - 1) * ((Partial_Sums s) . n)) / (n + 1)) + (s . (n + 1))) * ((n + 2) ") is V11() real ext-real set
(n + 2) * ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
((n + 2) * ((Partial_Sums s) . n)) - ((Partial_Sums s) . n) is V11() real ext-real Element of REAL
- ((Partial_Sums s) . n) is V11() real ext-real set
((n + 2) * ((Partial_Sums s) . n)) + (- ((Partial_Sums s) . n)) is V11() real ext-real set
(((n + 2) * ((Partial_Sums s) . n)) - ((Partial_Sums s) . n)) / (n + 1) is V11() real ext-real Element of COMPLEX
(((n + 2) * ((Partial_Sums s) . n)) - ((Partial_Sums s) . n)) * ((n + 1) ") is V11() real ext-real set
((((n + 2) * ((Partial_Sums s) . n)) - ((Partial_Sums s) . n)) / (n + 1)) + (s . (n + 1)) is V11() real ext-real Element of REAL
(((((n + 2) * ((Partial_Sums s) . n)) - ((Partial_Sums s) . n)) / (n + 1)) + (s . (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
(((((n + 2) * ((Partial_Sums s) . n)) - ((Partial_Sums s) . n)) / (n + 1)) + (s . (n + 1))) * ((n + 2) ") is V11() real ext-real set
((n + 2) * ((Partial_Sums s) . n)) / (n + 1) is V11() real ext-real Element of COMPLEX
((n + 2) * ((Partial_Sums s) . n)) * ((n + 1) ") is V11() real ext-real set
(((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1)) is V11() real ext-real Element of COMPLEX
(((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) + (- (((Partial_Sums s) . n) / (n + 1))) is V11() real ext-real set
((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) + (s . (n + 1)) is V11() real ext-real Element of REAL
(((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) + (s . (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
(((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) + (s . (n + 1))) * ((n + 2) ") is V11() real ext-real set
((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2) is V11() real ext-real Element of COMPLEX
((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) * ((n + 2) ") is V11() real ext-real set
(s . (n + 1)) / (n + 2) is V11() real ext-real Element of COMPLEX
(s . (n + 1)) * ((n + 2) ") is V11() real ext-real set
(((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) - (((Partial_Sums s) . n) / (n + 1))) / (n + 2)) + ((s . (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
(((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) / (n + 2) is V11() real ext-real Element of COMPLEX
(((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) * ((n + 2) ") is V11() real ext-real set
(((Partial_Sums s) . n) / (n + 1)) / (n + 2) is V11() real ext-real Element of COMPLEX
(((Partial_Sums s) . n) / (n + 1)) * ((n + 2) ") is V11() real ext-real set
((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) / (n + 2)) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
- ((((Partial_Sums s) . n) / (n + 1)) / (n + 2)) is V11() real ext-real set
((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) / (n + 2)) + (- ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) is V11() real ext-real set
(((((n + 2) * ((Partial_Sums s) . n)) / (n + 1)) / (n + 2)) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) + ((s . (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
(n + 1) * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((n + 2) * ((Partial_Sums s) . n)) / ((n + 1) * (n + 2)) is V11() real ext-real Element of COMPLEX
((n + 1) * (n + 2)) " is V1() V11() real ext-real positive non negative set
((n + 2) * ((Partial_Sums s) . n)) * (((n + 1) * (n + 2)) ") is V11() real ext-real set
(((n + 2) * ((Partial_Sums s) . n)) / ((n + 1) * (n + 2))) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
(((n + 2) * ((Partial_Sums s) . n)) / ((n + 1) * (n + 2))) + (- ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) is V11() real ext-real set
((((n + 2) * ((Partial_Sums s) . n)) / ((n + 1) * (n + 2))) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) + ((s . (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
(((Partial_Sums s) . n) / (n + 1)) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
(((Partial_Sums s) . n) / (n + 1)) + (- ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) is V11() real ext-real set
((((Partial_Sums s) . n) / (n + 1)) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) + ((s . (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
((s . (n + 1)) / (n + 2)) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2)) is V11() real ext-real Element of COMPLEX
((s . (n + 1)) / (n + 2)) + (- ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) is V11() real ext-real set
(((Partial_Sums s) . n) / (n + 1)) + (((s . (n + 1)) / (n + 2)) - ((((Partial_Sums s) . n) / (n + 1)) / (n + 2))) is V11() real ext-real Element of COMPLEX
(((Partial_Sums s) . (n + 1)) / (n + 2)) |^ (n + 2) is V11() real ext-real set
(n + 2) -Root ((s) . (n + 1)) is V11() real ext-real Element of REAL
(n + 2) -Root ((((Partial_Sums s) . (n + 1)) / (n + 2)) |^ (n + 2)) is V11() real ext-real set
(n + 2) -root ((s) . (n + 1)) is V11() real ext-real Element of REAL
(n + 2) * ((n + 2) -root ((s) . (n + 1))) is V11() real ext-real Element of REAL
(((Partial_Sums s) . (n + 1)) / (n + 2)) * (n + 2) is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V43() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(s) . 0 is V11() real ext-real Element of REAL
(0 + 1) -root ((s) . 0) is V11() real ext-real Element of REAL
(0 + 1) * ((0 + 1) -root ((s) . 0)) is V11() real ext-real Element of REAL
(0 + 1) -root (s . 0) is V11() real ext-real Element of REAL