:: SERIES_5 semantic presentation

REAL is V1() V46() 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() V46() V57() V63() set
RAT is V1() V46() V57() V58() V59() V60() V63() set
INT is V1() V46() V57() V58() V59() V60() V61() V63() set
K7(COMPLEX,COMPLEX) is V35() set
K6(K7(COMPLEX,COMPLEX)) is set
K7(K7(COMPLEX,COMPLEX),COMPLEX) is V35() set
K6(K7(K7(COMPLEX,COMPLEX),COMPLEX)) is set
K7(REAL,REAL) is V35() V36() V37() set
K6(K7(REAL,REAL)) is set
K7(K7(REAL,REAL),REAL) is V35() V36() V37() set
K6(K7(K7(REAL,REAL),REAL)) is set
K7(RAT,RAT) is V20( RAT ) V35() V36() V37() set
K6(K7(RAT,RAT)) is set
K7(K7(RAT,RAT),RAT) is V20( RAT ) V35() V36() V37() set
K6(K7(K7(RAT,RAT),RAT)) is set
K7(INT,INT) is V20( RAT ) V20( INT ) V35() V36() V37() set
K6(K7(INT,INT)) is set
K7(K7(INT,INT),INT) is V20( RAT ) V20( INT ) V35() V36() V37() set
K6(K7(K7(INT,INT),INT)) is set
K7(NAT,NAT) is V20( RAT ) V20( INT ) V35() V36() V37() V38() set
K7(K7(NAT,NAT),NAT) is V20( RAT ) V20( INT ) V35() V36() V37() V38() set
K6(K7(K7(NAT,NAT),NAT)) is set
NAT is V57() V58() V59() V60() V61() V62() V63() set
K6(NAT) is set
K6(NAT) is set
K7(NAT,REAL) is V35() V36() V37() set
K6(K7(NAT,REAL)) is set
0 is V1() ordinal natural V11() real ext-real non positive non negative V33() V34() V57() V58() V59() V60() V61() V62() V63() Element of NAT
1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt 0 is V11() real ext-real Element of REAL
sqrt 1 is V11() real ext-real Element of REAL
4 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt 4 is V11() real ext-real Element of REAL
2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s is V11() real ext-real set
s |^ 3 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 |^ 3 is V11() real ext-real set
(s |^ 3) - (n |^ 3) is V11() real ext-real set
s - n is V11() real ext-real set
s * n is V11() real ext-real set
(s ^2) + (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) + (s * n)) + (n ^2) is V11() real ext-real set
(s - n) * (((s ^2) + (s * n)) + (n ^2)) is V11() real ext-real set
s * (s ^2) is V11() real ext-real set
(s * s) * n is V11() real ext-real set
(s * (s ^2)) + ((s * s) * n) is V11() real ext-real set
s * (n ^2) is V11() real ext-real set
((s * (s ^2)) + ((s * s) * n)) + (s * (n ^2)) is V11() real ext-real set
n * (s ^2) is V11() real ext-real set
n * s is V11() real ext-real set
(n * s) * n is V11() real ext-real set
(n * (s ^2)) + ((n * s) * n) is V11() real ext-real set
n * (n ^2) is V11() real ext-real set
((n * (s ^2)) + ((n * s) * n)) + (n * (n ^2)) is V11() real ext-real set
(((s * (s ^2)) + ((s * s) * n)) + (s * (n ^2))) - (((n * (s ^2)) + ((n * s) * n)) + (n * (n ^2))) is V11() real ext-real set
s |^ 2 is V11() real ext-real set
s * (s |^ 2) is V11() real ext-real set
(s * (s |^ 2)) + ((s * s) * n) is V11() real ext-real set
((s * (s |^ 2)) + ((s * s) * n)) + (s * (n ^2)) is V11() real ext-real set
(((s * (s |^ 2)) + ((s * s) * n)) + (s * (n ^2))) - (((n * (s ^2)) + ((n * s) * n)) + (n * (n ^2))) is V11() real ext-real set
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (2 + 1) is V11() real ext-real set
(s |^ (2 + 1)) + ((s * s) * n) is V11() real ext-real set
((s |^ (2 + 1)) + ((s * s) * n)) + (s * (n ^2)) is V11() real ext-real set
(((s |^ (2 + 1)) + ((s * s) * n)) + (s * (n ^2))) - (((n * (s ^2)) + ((n * s) * n)) + (n * (n ^2))) is V11() real ext-real set
s * (n * n) is V11() real ext-real set
(s |^ 3) + (s * (n * n)) is V11() real ext-real set
((s |^ 3) + (s * (n * n))) - ((n * s) * n) is V11() real ext-real set
(((s |^ 3) + (s * (n * n))) - ((n * s) * n)) - (n * (n ^2)) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
(n |^ 2) * n is V11() real ext-real set
(s |^ 3) - ((n |^ 2) * n) is V11() real ext-real set
n |^ (2 + 1) is V11() real ext-real set
(s |^ 3) - (n |^ (2 + 1)) is V11() real ext-real set
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
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
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 / ((1 / s) + (1 / 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
2 * (s * n) is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
(2 * (s * n)) / (s + 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 COMPLEX
1 * n 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 set
((1 * n) + (1 * s)) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 / (((1 * n) + (1 * s)) / (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * n) * 1 is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
((s * n) * 1) / (n + s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * n) / (n + s) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) / ((1 / s) + (1 / n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * ((s * n) / (n + s)) is V1() V11() real ext-real positive non negative set
s is V11() real ext-real set
1 / s is V11() real ext-real Element of COMPLEX
n is V11() real ext-real set
1 / n is V11() real ext-real Element of COMPLEX
(1 / s) * (1 / n) is V11() real ext-real Element of COMPLEX
s * n is V11() real ext-real set
n is V11() real ext-real set
1 / n is V11() real ext-real Element of COMPLEX
((1 / s) * (1 / n)) * (1 / n) is V11() real ext-real Element of COMPLEX
(s * n) * n is V11() real ext-real set
1 / ((s * n) * n) is V11() real ext-real Element of COMPLEX
1 / (s * n) is V11() real ext-real Element of COMPLEX
(1 / (s * n)) * (1 / n) is V11() real ext-real Element of COMPLEX
s is V1() V11() real ext-real positive non negative set
n 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 / s is V1() V11() real ext-real positive non negative Element of COMPLEX
n is V11() real ext-real set
- n is V11() real ext-real set
(s / n) to_power (- n) is V11() real ext-real set
(n / s) to_power n is V11() real ext-real set
1 / (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 / (s / n)) to_power n is V11() real ext-real set
(n / s) * 1 is V1() V11() real ext-real positive non negative set
((n / s) * 1) to_power n is V11() real ext-real set
s is V1() V11() real ext-real positive non negative 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
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
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 is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
x is V1() V11() real ext-real positive non negative set
s + x is V1() V11() real ext-real positive non negative set
(s + x) ^2 is V11() real ext-real set
(s + x) * (s + x) is V1() V11() real ext-real positive non negative set
(n * n) * ((s + x) ^2) is V11() real ext-real set
n * x is V1() V11() real ext-real positive non negative set
sqrt (n * x) is V11() real ext-real set
(sqrt (n * x)) ^2 is V11() real ext-real set
(sqrt (n * x)) * (sqrt (n * x)) is V11() real ext-real set
((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2) is V11() real ext-real set
n * x is V1() V11() real ext-real positive non negative set
sqrt (n * x) is V11() real ext-real set
(sqrt (n * x)) ^2 is V11() real ext-real set
(sqrt (n * x)) * (sqrt (n * x)) is V11() real ext-real set
((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2) is V11() real ext-real set
(((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) * (((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) 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 * (n ^2) is V11() real ext-real set
(s * (n ^2)) * x 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
(n ^2) * x is V11() real ext-real set
((n ^2) * x) * s is V11() real ext-real set
((s * (n ^2)) * x) * (((n ^2) * x) * s) is V11() real ext-real set
sqrt (((s * (n ^2)) * x) * (((n ^2) * x) * s)) is V11() real ext-real set
2 * (sqrt (((s * (n ^2)) * x) * (((n ^2) * x) * s))) is V11() real ext-real set
((s * (n ^2)) * x) + (((n ^2) * x) * 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
(s ^2) * (n ^2) is V11() real ext-real set
((s ^2) * (n ^2)) * (n ^2) is V11() real ext-real set
x ^2 is V11() real ext-real set
x * x is V1() V11() real ext-real positive non negative set
(((s ^2) * (n ^2)) * (n ^2)) * (x ^2) is V11() real ext-real set
sqrt ((((s ^2) * (n ^2)) * (n ^2)) * (x ^2)) is V11() real ext-real set
2 * (sqrt ((((s ^2) * (n ^2)) * (n ^2)) * (x ^2))) is V11() real ext-real set
(s ^2) * n is V11() real ext-real set
((s ^2) * n) * n is V11() real ext-real set
(n * n) * (x ^2) is V11() real ext-real set
(((s ^2) * n) * n) + ((n * n) * (x ^2)) is V11() real ext-real set
(2 * (sqrt ((((s ^2) * (n ^2)) * (n ^2)) * (x ^2)))) + ((((s ^2) * n) * n) + ((n * n) * (x ^2))) is V11() real ext-real set
(((s * (n ^2)) * x) + (((n ^2) * x) * s)) + ((((s ^2) * n) * n) + ((n * n) * (x ^2))) is V11() real ext-real set
(s * n) * (n * x) is V1() V11() real ext-real positive non negative set
((s * n) * (n * x)) ^2 is V11() real ext-real set
((s * n) * (n * x)) * ((s * n) * (n * x)) is V1() V11() real ext-real positive non negative set
sqrt (((s * n) * (n * x)) ^2) is V11() real ext-real set
2 * (sqrt (((s * n) * (n * x)) ^2)) is V11() real ext-real set
(2 * (sqrt (((s * n) * (n * x)) ^2))) + (((s ^2) * n) * n) is V11() real ext-real set
((2 * (sqrt (((s * n) * (n * x)) ^2))) + (((s ^2) * n) * n)) + ((n * n) * (x ^2)) is V11() real ext-real set
(((s * (n ^2)) * x) + (((n ^2) * x) * s)) + (((s ^2) * n) * n) is V11() real ext-real set
((((s * (n ^2)) * x) + (((n ^2) * x) * s)) + (((s ^2) * n) * n)) + ((n * n) * (x ^2)) is V11() real ext-real set
(s * n) * n is V1() V11() real ext-real positive non negative set
((s * n) * n) * x is V1() V11() real ext-real positive non negative set
2 * (((s * n) * n) * x) is V1() V11() real ext-real positive non negative set
(2 * (((s * n) * n) * x)) + (((s ^2) * n) * n) is V11() real ext-real set
((2 * (((s * n) * n) * x)) + (((s ^2) * n) * n)) + ((n * n) * (x ^2)) is V11() real ext-real set
(s * n) + ((sqrt (n * x)) ^2) is V11() real ext-real set
((s * n) + ((sqrt (n * x)) ^2)) * (((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) is V11() real ext-real set
(s * n) + (n * x) is V1() V11() real ext-real positive non negative set
((s * n) + (n * x)) * (((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) is V11() real ext-real set
(s * n) + ((sqrt (n * x)) ^2) is V11() real ext-real set
((s * n) + (n * x)) * ((s * n) + ((sqrt (n * x)) ^2)) is V11() real ext-real set
(s * n) + (n * x) is V1() V11() real ext-real positive non negative set
((s * n) + (n * x)) * ((s * n) + (n * x)) is V1() V11() real ext-real positive non negative set
(((s ^2) * n) * n) + ((s * (n ^2)) * x) is V11() real ext-real set
((((s ^2) * n) * n) + ((s * (n ^2)) * x)) + (((n ^2) * x) * s) is V11() real ext-real set
(((((s ^2) * n) * n) + ((s * (n ^2)) * x)) + (((n ^2) * x) * s)) + ((n * n) * (x ^2)) is V11() real ext-real set
s is V11() real ext-real set
n is V11() real ext-real set
s + n is V11() real ext-real set
n is V11() real ext-real set
(s + n) + n is V11() real ext-real set
((s + n) + n) ^2 is V11() real ext-real set
((s + n) + n) * ((s + 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 is V11() real ext-real set
n * n is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
((s ^2) + (n ^2)) + (n ^2) is V11() real ext-real set
2 * s is V11() real ext-real set
(2 * s) * n is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * n is V11() real ext-real set
((((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n)) + ((2 * n) * n) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * s is V11() real ext-real set
(((((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n)) + ((2 * n) * n)) + ((2 * n) * s) 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
s ^2 is V11() real ext-real set
s * 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
(abs s) ^2 is V11() real ext-real Element of REAL
(abs s) * (abs s) is V11() real ext-real non negative set
s is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
abs s is V11() real ext-real non negative Element of REAL
sqrt (s ^2) is V11() real ext-real set
s 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
2 * (s ^2) is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative 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 * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
(2 * s) * n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
(2 * (s ^2)) * (sqrt (n * n)) is V11() real ext-real set
((2 * (s ^2)) * (sqrt (n * n))) * 2 is V11() real ext-real set
(((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n)) is V11() real ext-real set
(((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2 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
((((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2) * (n ^2) is V11() real ext-real set
(((((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2) * (n ^2)) * (sqrt (s * n)) is V11() real ext-real set
((2 * s) * n) * n is V1() V11() real ext-real positive non negative set
(((2 * s) * n) * n) |^ 3 is V11() real ext-real set
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 set
((2 ^2) * 2) * (s ^2) is V11() real ext-real set
(((2 ^2) * 2) * (s ^2)) * (n ^2) is V11() real ext-real set
((((2 ^2) * 2) * (s ^2)) * (n ^2)) * (n ^2) is V11() real ext-real set
(((((2 ^2) * 2) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n)) is V11() real ext-real set
((((((2 ^2) * 2) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n))) * (sqrt (s * n)) is V11() real ext-real set
(((((((2 ^2) * 2) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n))) * (sqrt (s * n))) * (sqrt (s * n)) is V11() real ext-real set
2 |^ 2 is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ 2) * 2 is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ 2) * 2) * (s ^2) is V11() real ext-real set
(((2 |^ 2) * 2) * (s ^2)) * (n ^2) is V11() real ext-real set
((((2 |^ 2) * 2) * (s ^2)) * (n ^2)) * (n ^2) is V11() real ext-real set
(((((2 |^ 2) * 2) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n)) is V11() real ext-real set
((((((2 |^ 2) * 2) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n))) * (sqrt (s * n)) is V11() real ext-real set
(((((((2 |^ 2) * 2) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n))) * (sqrt (s * n))) * (sqrt (s * n)) is V11() real ext-real set
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (2 + 1) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (2 + 1)) * (s ^2) is V11() real ext-real set
((2 |^ (2 + 1)) * (s ^2)) * (n ^2) is V11() real ext-real set
(((2 |^ (2 + 1)) * (s ^2)) * (n ^2)) * (n ^2) is V11() real ext-real set
((((2 |^ (2 + 1)) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n)) is V11() real ext-real set
(((((2 |^ (2 + 1)) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n))) * (sqrt (s * n)) is V11() real ext-real set
((((((2 |^ (2 + 1)) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (n * n))) * (sqrt (s * n))) * (sqrt (s * n)) is V11() real ext-real set
2 |^ 3 is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ 3) * (s ^2) is V11() real ext-real set
((2 |^ 3) * (s ^2)) * (n ^2) is V11() real ext-real set
(((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2) is V11() real ext-real set
(sqrt (n * n)) * (sqrt (s * n)) is V11() real ext-real set
((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * ((sqrt (n * n)) * (sqrt (s * n))) is V11() real ext-real set
(((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * ((sqrt (n * n)) * (sqrt (s * n)))) * (sqrt (s * n)) is V11() real ext-real set
(n * n) * (s * n) is V1() V11() real ext-real positive non negative set
sqrt ((n * n) * (s * n)) is V11() real ext-real set
((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt ((n * n) * (s * n))) is V11() real ext-real set
(((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt ((n * n) * (s * n)))) * (sqrt (s * n)) is V11() real ext-real set
(n * n) * s is V1() V11() real ext-real positive non negative set
((n * n) * s) * n is V1() V11() real ext-real positive non negative set
sqrt (((n * n) * s) * n) is V11() real ext-real set
(sqrt (((n * n) * s) * n)) * (sqrt (s * n)) is V11() real ext-real set
((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * ((sqrt (((n * n) * s) * n)) * (sqrt (s * n))) is V11() real ext-real set
(((n * n) * s) * n) * (s * n) is V1() V11() real ext-real positive non negative set
sqrt ((((n * n) * s) * n) * (s * n)) is V11() real ext-real set
((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt ((((n * n) * s) * n) * (s * n))) is V11() real ext-real set
(s * n) * n is V1() V11() real ext-real positive non negative set
((s * n) * n) ^2 is V11() real ext-real set
((s * n) * n) * ((s * n) * n) is V1() V11() real ext-real positive non negative set
sqrt (((s * n) * n) ^2) is V11() real ext-real set
((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * (sqrt (((s * n) * n) ^2)) is V11() real ext-real set
((((2 |^ 3) * (s ^2)) * (n ^2)) * (n ^2)) * ((s * n) * n) is V11() real ext-real set
(s ^2) * s is V11() real ext-real set
(2 |^ 3) * ((s ^2) * s) is V11() real ext-real set
(n ^2) * n is V11() real ext-real set
((2 |^ 3) * ((s ^2) * s)) * ((n ^2) * n) is V11() real ext-real set
(n ^2) * n is V11() real ext-real set
(((2 |^ 3) * ((s ^2) * s)) * ((n ^2) * n)) * ((n ^2) * n) is V11() real ext-real set
s |^ 2 is V11() real ext-real set
(s |^ 2) * s is V11() real ext-real set
(2 |^ 3) * ((s |^ 2) * s) is V11() real ext-real set
((2 |^ 3) * ((s |^ 2) * s)) * ((n ^2) * n) is V11() real ext-real set
(((2 |^ 3) * ((s |^ 2) * s)) * ((n ^2) * n)) * ((n ^2) * n) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
(n |^ 2) * n is V11() real ext-real set
((2 |^ 3) * ((s |^ 2) * s)) * ((n |^ 2) * n) is V11() real ext-real set
(((2 |^ 3) * ((s |^ 2) * s)) * ((n |^ 2) * n)) * ((n ^2) * n) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
(n |^ 2) * n is V11() real ext-real set
(((2 |^ 3) * ((s |^ 2) * s)) * ((n |^ 2) * n)) * ((n |^ 2) * n) is V11() real ext-real set
s |^ (2 + 1) is V11() real ext-real set
(2 |^ 3) * (s |^ (2 + 1)) is V11() real ext-real set
((2 |^ 3) * (s |^ (2 + 1))) * ((n |^ 2) * n) is V11() real ext-real set
(((2 |^ 3) * (s |^ (2 + 1))) * ((n |^ 2) * n)) * ((n |^ 2) * n) is V11() real ext-real set
s |^ 3 is V11() real ext-real set
(2 |^ 3) * (s |^ 3) is V11() real ext-real set
n |^ 3 is V11() real ext-real set
((2 |^ 3) * (s |^ 3)) * (n |^ 3) is V11() real ext-real set
(((2 |^ 3) * (s |^ 3)) * (n |^ 3)) * ((n |^ 2) * n) is V11() real ext-real set
n |^ (2 + 1) is V11() real ext-real set
(((2 |^ 3) * (s |^ 3)) * (n |^ 3)) * (n |^ (2 + 1)) is V11() real ext-real set
(2 * s) |^ 3 is V11() real ext-real set
((2 * s) |^ 3) * (n |^ 3) is V11() real ext-real set
n |^ 3 is V11() real ext-real set
(((2 * s) |^ 3) * (n |^ 3)) * (n |^ 3) is V11() real ext-real set
((2 * s) * n) |^ 3 is V11() real ext-real set
(((2 * s) * n) |^ 3) * (n |^ 3) is V11() real ext-real set
1 / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
s 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
4 * s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
(s ^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) + (s * n)) + (n ^2) is V11() real ext-real set
sqrt (((s ^2) + (s * n)) + (n ^2)) is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
4 * ((s ^2) + (n ^2)) is V11() real ext-real set
(4 * s) * n is V1() V11() real ext-real positive non negative set
(4 * ((s ^2) + (n ^2))) + ((4 * s) * n) is V11() real ext-real set
sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n)) is V11() real ext-real set
(1 / 2) * (sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n))) is V11() real ext-real set
((1 / 2) * (sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n)))) ^2 is V11() real ext-real set
((1 / 2) * (sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n)))) * ((1 / 2) * (sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n)))) is V11() real ext-real set
(1 / 2) * (1 / 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
(sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n))) ^2 is V11() real ext-real set
(sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n))) * (sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n))) is V11() real ext-real set
((1 / 2) * (1 / 2)) * ((sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n))) ^2) is V11() real ext-real set
1 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 / 4) * ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n)) is V11() real ext-real set
(sqrt (((s ^2) + (s * n)) + (n ^2))) ^2 is V11() real ext-real set
(sqrt (((s ^2) + (s * n)) + (n ^2))) * (sqrt (((s ^2) + (s * n)) + (n ^2))) is V11() real ext-real set
sqrt ((sqrt (((s ^2) + (s * n)) + (n ^2))) ^2) is V11() real ext-real set
sqrt 3 is V11() real ext-real Element of REAL
(1 / 2) * (sqrt 3) is V11() real ext-real set
s 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 is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
((1 / 2) * (sqrt 3)) * (s + n) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
(s ^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) + (s * n)) + (n ^2) is V11() real ext-real set
sqrt (((s ^2) + (s * n)) + (n ^2)) is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative set
(2 * s) * n is V1() V11() real ext-real positive non negative set
(s ^2) + (n ^2) is V11() real ext-real set
3 * ((s ^2) + (n ^2)) is V11() real ext-real set
4 * s is V1() V11() real ext-real positive non negative set
(4 * s) * n is V1() V11() real ext-real positive non negative set
(3 * ((s ^2) + (n ^2))) + ((4 * s) * n) is V11() real ext-real set
((2 * s) * n) + ((3 * ((s ^2) + (n ^2))) + ((4 * s) * n)) is V11() real ext-real set
((s ^2) + (n ^2)) + ((3 * ((s ^2) + (n ^2))) + ((4 * s) * n)) is V11() real ext-real set
6 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
6 * s is V1() V11() real ext-real positive non negative set
(6 * s) * n is V1() V11() real ext-real positive non negative set
(3 * ((s ^2) + (n ^2))) + ((6 * s) * n) is V11() real ext-real set
sqrt ((3 * ((s ^2) + (n ^2))) + ((6 * s) * n)) is V11() real ext-real set
4 * ((s ^2) + (n ^2)) is V11() real ext-real set
(4 * ((s ^2) + (n ^2))) + ((4 * s) * n) is V11() real ext-real set
sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n)) is V11() real ext-real set
(1 / 2) * (sqrt ((3 * ((s ^2) + (n ^2))) + ((6 * s) * n))) is V11() real ext-real set
(1 / 2) * (sqrt ((4 * ((s ^2) + (n ^2))) + ((4 * s) * n))) is V11() real ext-real set
(s + n) ^2 is V11() real ext-real set
(s + n) * (s + n) is V1() V11() real ext-real positive non negative set
3 * ((s + n) ^2) is V11() real ext-real set
sqrt (3 * ((s + n) ^2)) is V11() real ext-real set
sqrt ((s + n) ^2) is V11() real ext-real set
(sqrt 3) * (sqrt ((s + n) ^2)) is V11() real ext-real set
(sqrt 3) * (s + n) is V11() real ext-real set
s 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 is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
(s ^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) + (s * n)) + (n ^2) is V11() real ext-real set
(((s ^2) + (s * n)) + (n ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3) is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 2) is V11() real ext-real set
(s * n) + ((s ^2) + (n ^2)) is V11() real ext-real set
(((s ^2) + (n ^2)) / 2) + ((s ^2) + (n ^2)) is V11() real ext-real set
((s ^2) + (n ^2)) + (((s ^2) + (n ^2)) / 2) is V11() real ext-real set
(((s ^2) + (n ^2)) + (((s ^2) + (n ^2)) / 2)) / 3 is V11() real ext-real Element of COMPLEX
s is V1() V11() real ext-real positive non negative 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
2 * (n ^2) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(s * n) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) / n) ^2 is V11() real ext-real Element of COMPLEX
((s * n) / n) * ((s * n) / n) is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
(n * n) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
((n * n) / s) ^2 is V11() real ext-real Element of COMPLEX
((n * n) / s) * ((n * n) / s) is V1() V11() real ext-real positive non negative set
(((s * n) / n) ^2) + (((n * n) / s) ^2) is V11() real ext-real Element of COMPLEX
2 * ((s * n) / n) is V1() V11() real ext-real positive non negative set
(2 * ((s * n) / n)) * ((n * n) / s) is V1() V11() real ext-real positive non negative set
((s * n) / n) * ((n * n) / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (((s * n) / n) * ((n * n) / s)) is V1() V11() real ext-real positive non negative set
(s * n) * (n * n) is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
((s * n) * (n * n)) / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (((s * n) * (n * n)) / (n * s)) is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
(s * n) * (n * n) is V1() V11() real ext-real positive non negative set
(n * s) * 1 is V1() V11() real ext-real positive non negative set
((s * n) * (n * n)) / ((n * s) * 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (((s * n) * (n * n)) / ((n * s) * 1)) is V1() V11() real ext-real positive non negative set
(n * n) / 1 is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * ((n * n) / 1) is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s * 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
n is V1() V11() real ext-real positive non negative set
(s * 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 is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) / n) * ((n * n) / s) 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 set
n * s is V1() V11() real ext-real positive non negative set
((s * n) * (n * n)) / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * n) * (n * s) is V1() V11() real ext-real positive non negative set
((n * n) * (n * s)) / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * s) / (n * s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n * n) * ((n * s) / (n * s)) is V1() V11() real ext-real positive non negative set
(n * n) * 1 is V1() V11() real ext-real positive non negative set
s 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 is V1() V11() real ext-real positive non negative set
s * 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
n is V1() V11() real ext-real positive non negative set
(s * n) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * ((s * n) / n) is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
(n * n) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(2 * ((s * n) / n)) * ((n * 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 * s) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(2 * ((s * n) / n)) * ((n * s) / n) is V1() V11() real ext-real positive non negative set
((2 * ((s * n) / n)) * ((n * n) / s)) + ((2 * ((s * n) / n)) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
2 * ((n * n) / s) is V1() V11() real ext-real positive non negative set
(2 * ((n * n) / s)) * ((n * s) / n) is V1() V11() real ext-real positive non negative set
(((2 * ((s * n) / n)) * ((n * n) / s)) + ((2 * ((s * n) / n)) * ((n * s) / n))) + ((2 * ((n * n) / s)) * ((n * s) / 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
(n ^2) + (s ^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 set
((s * n) / n) * ((n * n) / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (((s * n) / n) * ((n * n) / s)) is V1() V11() real ext-real positive non negative set
(2 * (((s * n) / n) * ((n * n) / s))) + ((2 * ((s * n) / n)) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
((2 * (((s * n) / n) * ((n * n) / s))) + ((2 * ((s * n) / n)) * ((n * s) / n))) + ((2 * ((n * n) / s)) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
2 * (n ^2) is V11() real ext-real set
((s * n) / n) * ((n * s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (((s * n) / n) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
(2 * (n ^2)) + (2 * (((s * n) / n) * ((n * s) / n))) is V11() real ext-real set
((2 * (n ^2)) + (2 * (((s * n) / n) * ((n * s) / n)))) + ((2 * ((n * n) / s)) * ((n * s) / n)) is V11() real ext-real set
2 * (s ^2) is V11() real ext-real set
(2 * (n ^2)) + (2 * (s ^2)) is V11() real ext-real set
((n * n) / s) * ((n * s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (((n * n) / s) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
((2 * (n ^2)) + (2 * (s ^2))) + (2 * (((n * n) / s) * ((n * s) / n))) is V11() real ext-real set
2 * (n ^2) is V11() real ext-real set
((2 * (n ^2)) + (2 * (s ^2))) + (2 * (n ^2)) is V11() real ext-real set
(n ^2) + (s ^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 set
s 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 is V1() V11() real ext-real positive non negative set
s * 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
n is V1() V11() real ext-real positive non negative set
(s * 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 is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) / n) + ((n * 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
(n * s) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s * n) / n) + ((n * n) / s)) + ((n * s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((s * n) / n) + ((n * n) / s)) + ((n * s) / n)) ^2 is V11() real ext-real Element of COMPLEX
((((s * n) / n) + ((n * n) / s)) + ((n * s) / n)) * ((((s * n) / n) + ((n * n) / s)) + ((n * s) / n)) is V1() V11() real ext-real positive non negative set
((n * n) / s) ^2 is V11() real ext-real Element of COMPLEX
((n * n) / s) * ((n * n) / s) is V1() V11() real ext-real positive non negative set
((n * s) / n) ^2 is V11() real ext-real Element of COMPLEX
((n * s) / n) * ((n * s) / n) is V1() V11() real ext-real positive non negative set
(((n * n) / s) ^2) + (((n * s) / n) ^2) is V11() real ext-real Element of COMPLEX
((s * n) / n) ^2 is V11() real ext-real Element of COMPLEX
((s * n) / n) * ((s * n) / n) is V1() V11() real ext-real positive non negative set
((((n * n) / s) ^2) + (((n * s) / n) ^2)) + (((s * n) / n) ^2) is V11() real ext-real Element of COMPLEX
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
(n ^2) + (s ^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 set
(((((n * n) / s) ^2) + (((n * s) / n) ^2)) + (((s * n) / n) ^2)) + (2 * (((n ^2) + (s ^2)) + (n ^2))) is V11() real ext-real set
(((s * n) / n) ^2) + (((n * n) / s) ^2) is V11() real ext-real Element of COMPLEX
((((s * n) / n) ^2) + (((n * n) / s) ^2)) + (((n * s) / n) ^2) is V11() real ext-real Element of COMPLEX
2 * ((s * n) / n) is V1() V11() real ext-real positive non negative set
(2 * ((s * n) / n)) * ((n * n) / s) is V1() V11() real ext-real positive non negative set
(2 * ((s * n) / n)) * ((n * s) / n) is V1() V11() real ext-real positive non negative set
((2 * ((s * n) / n)) * ((n * n) / s)) + ((2 * ((s * n) / n)) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
2 * ((n * n) / s) is V1() V11() real ext-real positive non negative set
(2 * ((n * n) / s)) * ((n * s) / n) is V1() V11() real ext-real positive non negative set
(((2 * ((s * n) / n)) * ((n * n) / s)) + ((2 * ((s * n) / n)) * ((n * s) / n))) + ((2 * ((n * n) / s)) * ((n * s) / n)) is V1() V11() real ext-real positive non negative set
(((((s * n) / n) ^2) + (((n * n) / s) ^2)) + (((n * s) / n) ^2)) + ((((2 * ((s * n) / n)) * ((n * n) / s)) + ((2 * ((s * n) / n)) * ((n * s) / n))) + ((2 * ((n * n) / s)) * ((n * s) / n))) is V11() real ext-real set
(((((s * n) / n) ^2) + (((n * n) / s) ^2)) + (((n * s) / n) ^2)) + (2 * (((n ^2) + (s ^2)) + (n ^2))) is V11() real ext-real set
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
(1 / s) - 1 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
n is V1() V11() real ext-real positive non negative set
(s + n) + n is V1() V11() real ext-real positive non negative set
n + n is V1() V11() real ext-real positive non negative set
(n + n) / s 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
(s + (n + n)) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
((s + (n + n)) / s) - 1 is V11() real ext-real set
s / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / s) + ((n + n) / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s / s) + ((n + n) / s)) - 1 is V11() real ext-real set
1 + ((n + n) / s) is V1() V11() real ext-real positive non negative set
(1 + ((n + n) / s)) - 1 is V11() real ext-real set
8 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s is V1() V11() real ext-real positive non negative 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
2 * (sqrt (s * n)) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
(2 * (sqrt (s * n))) / n is V11() real ext-real Element of COMPLEX
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
2 * (sqrt (n * n)) is V11() real ext-real set
(2 * (sqrt (n * n))) / s is V11() real ext-real Element of COMPLEX
((2 * (sqrt (s * n))) / n) * ((2 * (sqrt (n * n))) / s) is V11() real ext-real Element of COMPLEX
n * s is V1() V11() real ext-real positive non negative set
sqrt (n * s) is V11() real ext-real set
2 * (sqrt (n * s)) is V11() real ext-real set
(2 * (sqrt (n * s))) / n is V11() real ext-real Element of COMPLEX
(((2 * (sqrt (s * n))) / n) * ((2 * (sqrt (n * n))) / s)) * ((2 * (sqrt (n * s))) / n) is V11() real ext-real Element of COMPLEX
(2 * (sqrt (s * n))) * (2 * (sqrt (n * n))) is V11() real ext-real set
((2 * (sqrt (s * n))) * (2 * (sqrt (n * n)))) / (n * s) is V11() real ext-real Element of COMPLEX
(((2 * (sqrt (s * n))) * (2 * (sqrt (n * n)))) / (n * s)) * ((2 * (sqrt (n * s))) / n) is V11() real ext-real Element of COMPLEX
(sqrt (s * n)) * (sqrt (n * n)) is V11() real ext-real set
4 * ((sqrt (s * n)) * (sqrt (n * n))) is V11() real ext-real set
(4 * ((sqrt (s * n)) * (sqrt (n * n)))) / (n * s) is V11() real ext-real Element of COMPLEX
((4 * ((sqrt (s * n)) * (sqrt (n * n)))) / (n * s)) * ((2 * (sqrt (n * s))) / n) is V11() real ext-real Element of COMPLEX
(s * n) * (n * n) is V1() V11() real ext-real positive non negative set
sqrt ((s * n) * (n * n)) is V11() real ext-real set
4 * (sqrt ((s * n) * (n * n))) is V11() real ext-real set
(4 * (sqrt ((s * n) * (n * n)))) / (n * s) is V11() real ext-real Element of COMPLEX
((4 * (sqrt ((s * n) * (n * n)))) / (n * s)) * ((2 * (sqrt (n * s))) / n) is V11() real ext-real Element of COMPLEX
s * 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 * n) * (n ^2) is V11() real ext-real set
sqrt ((s * n) * (n ^2)) is V11() real ext-real set
4 * (sqrt ((s * n) * (n ^2))) is V11() real ext-real set
(4 * (sqrt ((s * n) * (n ^2)))) * (2 * (sqrt (n * s))) is V11() real ext-real set
(n * s) * n is V1() V11() real ext-real positive non negative set
((4 * (sqrt ((s * n) * (n ^2)))) * (2 * (sqrt (n * s)))) / ((n * s) * n) is V11() real ext-real Element of COMPLEX
(sqrt ((s * n) * (n ^2))) * (sqrt (n * s)) is V11() real ext-real set
8 * ((sqrt ((s * n) * (n ^2))) * (sqrt (n * s))) is V11() real ext-real set
(8 * ((sqrt ((s * n) * (n ^2))) * (sqrt (n * s)))) / ((n * s) * n) is V11() real ext-real Element of COMPLEX
((s * n) * (n ^2)) * (n * s) is V11() real ext-real set
sqrt (((s * n) * (n ^2)) * (n * s)) is V11() real ext-real set
8 * (sqrt (((s * n) * (n ^2)) * (n * s))) is V11() real ext-real set
(8 * (sqrt (((s * n) * (n ^2)) * (n * s)))) / ((n * s) * n) is V11() real ext-real Element of COMPLEX
((n * s) * n) ^2 is V11() real ext-real set
((n * s) * n) * ((n * s) * n) is V1() V11() real ext-real positive non negative set
sqrt (((n * s) * n) ^2) is V11() real ext-real set
8 * (sqrt (((n * s) * n) ^2)) is V11() real ext-real set
(8 * (sqrt (((n * s) * n) ^2))) / ((n * s) * n) is V11() real ext-real Element of COMPLEX
8 * ((n * s) * n) is V1() V11() real ext-real positive non negative set
(8 * ((n * s) * n)) / ((n * s) * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n * s) * n) / ((n * s) * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
8 * (((n * s) * n) / ((n * s) * n)) is V1() V11() real ext-real positive non negative set
8 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
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
1 + (1 / s) is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(s + n) + n is V1() V11() real ext-real positive non negative set
n + n is V1() V11() real ext-real positive non negative set
(n + n) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
2 + ((n + n) / s) is V1() V11() real ext-real positive non negative set
s + (n + n) 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
1 + ((s + (n + n)) / s) is V1() V11() real ext-real positive non negative set
s / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / s) + ((n + n) / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + ((s / s) + ((n + n) / s)) is V1() V11() real ext-real positive non negative set
1 + (s / s) is V1() V11() real ext-real positive non negative set
(1 + (s / s)) + ((n + n) / s) is V1() V11() real ext-real positive non negative set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) + ((n + n) / s) is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative 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 is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
1 + ((sqrt (s * n)) / n) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
(1 + ((sqrt (s * n)) / n)) * ((sqrt (s * n)) / n) is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
s / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (s / (sqrt (n * n))) is V11() real ext-real Element of COMPLEX
1 * ((sqrt (s * n)) / n) is V11() real ext-real set
((sqrt (s * n)) / n) * ((sqrt (s * n)) / n) is V11() real ext-real Element of COMPLEX
(1 * ((sqrt (s * n)) / n)) + (((sqrt (s * n)) / n) * ((sqrt (s * n)) / n)) is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
((sqrt (s * n)) * (sqrt (s * n))) / (n * n) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (((sqrt (s * n)) * (sqrt (s * n))) / (n * n)) is V11() real ext-real Element of COMPLEX
(s * n) * (s * n) is V1() V11() real ext-real positive non negative set
sqrt ((s * n) * (s * n)) is V11() real ext-real set
(sqrt ((s * n) * (s * n))) / (n * n) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + ((sqrt ((s * n) * (s * n))) / (n * n)) is V11() real ext-real Element of COMPLEX
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
(s ^2) * (n * n) is V11() real ext-real set
sqrt ((s ^2) * (n * n)) is V11() real ext-real set
(sqrt ((s ^2) * (n * n))) / (n * n) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + ((sqrt ((s ^2) * (n * n))) / (n * n)) is V11() real ext-real Element of COMPLEX
sqrt (s ^2) is V11() real ext-real set
sqrt (n * n) is V11() real ext-real set
(sqrt (s ^2)) * (sqrt (n * n)) is V11() real ext-real set
((sqrt (s ^2)) * (sqrt (n * n))) / (n * n) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (((sqrt (s ^2)) * (sqrt (n * n))) / (n * n)) is V11() real ext-real Element of COMPLEX
(sqrt (n * n)) ^2 is V11() real ext-real set
(sqrt (n * n)) * (sqrt (n * n)) is V11() real ext-real set
((sqrt (s ^2)) * (sqrt (n * n))) / ((sqrt (n * n)) ^2) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (((sqrt (s ^2)) * (sqrt (n * n))) / ((sqrt (n * n)) ^2)) is V11() real ext-real Element of COMPLEX
(sqrt (s ^2)) / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
(sqrt (n * n)) / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s ^2)) / (sqrt (n * n))) * ((sqrt (n * n)) / (sqrt (n * n))) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (((sqrt (s ^2)) / (sqrt (n * n))) * ((sqrt (n * n)) / (sqrt (n * n)))) is V11() real ext-real Element of COMPLEX
((sqrt (s ^2)) / (sqrt (n * n))) * 1 is V11() real ext-real set
((sqrt (s * n)) / n) + (((sqrt (s ^2)) / (sqrt (n * n))) * 1) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative 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 is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
n / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (n / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
n * s is V1() V11() real ext-real positive non negative set
sqrt (n * s) is V11() real ext-real set
(sqrt (n * s)) / n is V11() real ext-real Element of COMPLEX
(((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) * ((sqrt (n * s)) / n) is V11() real ext-real Element of COMPLEX
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
s / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
(s / (sqrt (n * n))) + 1 is V11() real ext-real set
((sqrt (s * n)) / n) * ((sqrt (n * s)) / n) is V11() real ext-real Element of COMPLEX
(n / (sqrt (s * n))) * ((sqrt (n * s)) / n) is V11() real ext-real Element of COMPLEX
(((sqrt (s * n)) / n) * ((sqrt (n * s)) / n)) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
(sqrt (s * n)) * (sqrt (n * s)) is V11() real ext-real set
((sqrt (s * n)) * (sqrt (n * s))) / (n * n) is V11() real ext-real Element of COMPLEX
(((sqrt (s * n)) * (sqrt (n * s))) / (n * n)) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
(s * n) * (n * s) is V1() V11() real ext-real positive non negative set
sqrt ((s * n) * (n * s)) is V11() real ext-real set
(sqrt ((s * n) * (n * s))) / (n * n) is V11() real ext-real Element of COMPLEX
((sqrt ((s * n) * (n * s))) / (n * n)) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
(n * n) * (s ^2) is V11() real ext-real set
sqrt ((n * n) * (s ^2)) is V11() real ext-real set
(sqrt ((n * n) * (s ^2))) / (n * n) is V11() real ext-real Element of COMPLEX
((sqrt ((n * n) * (s ^2))) / (n * n)) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
sqrt (s ^2) is V11() real ext-real set
(sqrt (n * n)) * (sqrt (s ^2)) is V11() real ext-real set
((sqrt (n * n)) * (sqrt (s ^2))) / (n * n) is V11() real ext-real Element of COMPLEX
(((sqrt (n * n)) * (sqrt (s ^2))) / (n * n)) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
(sqrt (s ^2)) * (sqrt (n * n)) is V11() real ext-real set
(sqrt (n * n)) ^2 is V11() real ext-real set
(sqrt (n * n)) * (sqrt (n * n)) is V11() real ext-real set
((sqrt (s ^2)) * (sqrt (n * n))) / ((sqrt (n * n)) ^2) is V11() real ext-real Element of COMPLEX
(((sqrt (s ^2)) * (sqrt (n * n))) / ((sqrt (n * n)) ^2)) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
(sqrt (s ^2)) / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
(sqrt (n * n)) / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s ^2)) / (sqrt (n * n))) * ((sqrt (n * n)) / (sqrt (n * n))) is V11() real ext-real Element of COMPLEX
(((sqrt (s ^2)) / (sqrt (n * n))) * ((sqrt (n * n)) / (sqrt (n * n)))) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
((sqrt (s ^2)) / (sqrt (n * n))) * 1 is V11() real ext-real set
(((sqrt (s ^2)) / (sqrt (n * n))) * 1) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real set
(s / (sqrt (n * n))) + ((n / (sqrt (s * n))) * ((sqrt (n * s)) / n)) is V11() real ext-real Element of COMPLEX
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(sqrt (n * s)) / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
(n / n) * ((sqrt (n * s)) / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
(s / (sqrt (n * n))) + ((n / n) * ((sqrt (n * s)) / (sqrt (s * n)))) is V11() real ext-real Element of COMPLEX
1 * ((sqrt (n * s)) / (sqrt (s * n))) is V11() real ext-real set
(s / (sqrt (n * n))) + (1 * ((sqrt (n * s)) / (sqrt (s * n)))) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative 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 is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
1 + ((sqrt (s * n)) / n) is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
(sqrt (n * n)) / s is V11() real ext-real Element of COMPLEX
1 + ((sqrt (n * n)) / s) is V11() real ext-real set
(1 + ((sqrt (s * n)) / n)) * (1 + ((sqrt (n * n)) / s)) is V11() real ext-real set
n * s is V1() V11() real ext-real positive non negative set
sqrt (n * s) is V11() real ext-real set
(sqrt (n * s)) / n is V11() real ext-real Element of COMPLEX
1 + ((sqrt (n * s)) / n) is V11() real ext-real set
((1 + ((sqrt (s * n)) / n)) * (1 + ((sqrt (n * n)) / s))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
2 + ((sqrt (n * n)) / s) is V11() real ext-real set
s / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
(2 + ((sqrt (n * n)) / s)) + (s / (sqrt (n * n))) is V11() real ext-real set
((2 + ((sqrt (n * n)) / s)) + (s / (sqrt (n * n)))) + ((sqrt (n * s)) / n) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
n / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
(((2 + ((sqrt (n * n)) / s)) + (s / (sqrt (n * n)))) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n))) is V11() real ext-real set
n / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
((((2 + ((sqrt (n * n)) / s)) + (s / (sqrt (n * n)))) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n)))) + (n / (sqrt (s * n))) is V11() real ext-real set
(((((2 + ((sqrt (n * n)) / s)) + (s / (sqrt (n * n)))) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n)))) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n) is V11() real ext-real set
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 * ((sqrt (n * n)) / s) is V11() real ext-real set
(1 * 1) + (1 * ((sqrt (n * n)) / s)) is V11() real ext-real set
((sqrt (s * n)) / n) * 1 is V11() real ext-real set
((1 * 1) + (1 * ((sqrt (n * n)) / s))) + (((sqrt (s * n)) / n) * 1) is V11() real ext-real set
((sqrt (s * n)) / n) * ((sqrt (n * n)) / s) is V11() real ext-real Element of COMPLEX
(((1 * 1) + (1 * ((sqrt (n * n)) / s))) + (((sqrt (s * n)) / n) * 1)) + (((sqrt (s * n)) / n) * ((sqrt (n * n)) / s)) is V11() real ext-real set
((((1 * 1) + (1 * ((sqrt (n * n)) / s))) + (((sqrt (s * n)) / n) * 1)) + (((sqrt (s * n)) / n) * ((sqrt (n * n)) / s))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
(1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n) is V11() real ext-real set
(sqrt (s * n)) * (sqrt (n * n)) is V11() real ext-real set
((sqrt (s * n)) * (sqrt (n * n))) / (n * s) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * (sqrt (n * n))) / (n * s)) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * (sqrt (n * n))) / (n * s))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
(s * n) * (n * n) is V1() V11() real ext-real positive non negative set
sqrt ((s * n) * (n * n)) is V11() real ext-real set
(sqrt ((s * n) * (n * n))) / (n * s) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + ((sqrt ((s * n) * (n * n))) / (n * s)) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + ((sqrt ((s * n) * (n * n))) / (n * s))) * (1 + ((sqrt (n * 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 * n) * (n ^2) is V11() real ext-real set
sqrt ((s * n) * (n ^2)) is V11() real ext-real set
(sqrt ((s * n) * (n ^2))) / (n * s) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + ((sqrt ((s * n) * (n ^2))) / (n * s)) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + ((sqrt ((s * n) * (n ^2))) / (n * s))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
sqrt (n ^2) is V11() real ext-real set
(sqrt (s * n)) * (sqrt (n ^2)) is V11() real ext-real set
((sqrt (s * n)) * (sqrt (n ^2))) / (n * s) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * (sqrt (n ^2))) / (n * s)) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * (sqrt (n ^2))) / (n * s))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
(sqrt (s * n)) * n is V11() real ext-real set
((sqrt (s * n)) * n) / (n * s) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * n) / (n * s)) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * n) / (n * s))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
(sqrt (n * s)) ^2 is V11() real ext-real set
(sqrt (n * s)) * (sqrt (n * s)) is V11() real ext-real set
((sqrt (s * n)) * n) / ((sqrt (n * s)) ^2) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * n) / ((sqrt (n * s)) ^2)) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) * n) / ((sqrt (n * s)) ^2))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
(sqrt (s * n)) / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / (sqrt (s * n))) * (n / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) / (sqrt (s * n))) * (n / (sqrt (s * n)))) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (((sqrt (s * n)) / (sqrt (s * n))) * (n / (sqrt (s * n))))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
1 * (n / (sqrt (s * n))) is V11() real ext-real set
((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (1 * (n / (sqrt (s * n)))) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (s * n)) / n)) + (1 * (n / (sqrt (s * n))))) * (1 + ((sqrt (n * s)) / n)) is V11() real ext-real set
(1 + ((sqrt (n * n)) / s)) * ((sqrt (n * s)) / n) is V11() real ext-real set
(1 + ((sqrt (n * n)) / s)) + ((1 + ((sqrt (n * n)) / s)) * ((sqrt (n * s)) / n)) is V11() real ext-real set
((1 + ((sqrt (n * n)) / s)) + ((1 + ((sqrt (n * n)) / s)) * ((sqrt (n * s)) / n))) + ((sqrt (s * n)) / n) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((1 + ((sqrt (n * n)) / s)) * ((sqrt (n * s)) / n))) + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n))) is V11() real ext-real set
((sqrt (s * n)) / n) + (n / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
(((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) * ((sqrt (n * s)) / n) is V11() real ext-real Element of COMPLEX
((((1 + ((sqrt (n * n)) / s)) + ((1 + ((sqrt (n * n)) / s)) * ((sqrt (n * s)) / n))) + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) * ((sqrt (n * s)) / n)) is V11() real ext-real set
((sqrt (n * s)) / n) + (n / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
(1 + ((sqrt (n * n)) / s)) + (((sqrt (n * s)) / n) + (n / (sqrt (s * n)))) is V11() real ext-real set
((1 + ((sqrt (n * n)) / s)) + (((sqrt (n * s)) / n) + (n / (sqrt (s * n))))) + ((sqrt (s * n)) / n) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + (((sqrt (n * s)) / n) + (n / (sqrt (s * n))))) + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n))) is V11() real ext-real set
((((1 + ((sqrt (n * n)) / s)) + (((sqrt (n * s)) / n) + (n / (sqrt (s * n))))) + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) * ((sqrt (n * s)) / n)) is V11() real ext-real set
(1 + ((sqrt (n * n)) / s)) + ((sqrt (n * s)) / n) is V11() real ext-real set
((1 + ((sqrt (n * n)) / s)) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n))) is V11() real ext-real set
(((1 + ((sqrt (n * n)) / s)) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n) is V11() real ext-real set
((((1 + ((sqrt (n * n)) / s)) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n))) is V11() real ext-real set
(s / (sqrt (n * n))) + 1 is V11() real ext-real set
(((((1 + ((sqrt (n * n)) / s)) + ((sqrt (n * s)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((s / (sqrt (n * n))) + 1) is V11() real ext-real set
6 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s is V1() V11() real ext-real positive non negative 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 is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
n / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (n / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
(((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n) is V11() real ext-real Element of COMPLEX
n * s is V1() V11() real ext-real positive non negative set
sqrt (n * s) is V11() real ext-real set
n / (sqrt (n * s)) is V11() real ext-real Element of COMPLEX
((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s))) is V11() real ext-real Element of COMPLEX
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
s / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
(((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n))) is V11() real ext-real Element of COMPLEX
(sqrt (n * n)) / s is V11() real ext-real Element of COMPLEX
((((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n)))) + ((sqrt (n * n)) / s) is V11() real ext-real Element of COMPLEX
(s / (sqrt (n * n))) + ((sqrt (n * n)) / s) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (n / (sqrt (n * s))) is V11() real ext-real Element of COMPLEX
2 + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + (((sqrt (s * n)) / n) + (n / (sqrt (n * s)))) is V11() real ext-real Element of COMPLEX
4 + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + ((s / (sqrt (n * n))) + ((sqrt (n * n)) / s)) is V11() real ext-real 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 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
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s + n) * ((1 / s) + (1 / n)) 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 / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / n) * (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt ((s / n) * (n / s)) is V11() real ext-real set
2 * (sqrt ((s / n) * (n / s))) is V11() real ext-real set
(s / n) + (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
s * n is V1() V11() real ext-real positive non negative set
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
sqrt ((s * n) / (n * s)) is V11() real ext-real set
2 * (sqrt ((s * n) / (n * s))) is V11() real ext-real set
(s / n) * n 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
sqrt (((s / n) * n) / s) is V11() real ext-real set
2 * (sqrt (((s / n) * n) / s)) is V11() real ext-real set
s / s is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (s / s) is V11() real ext-real set
2 * (sqrt (s / s)) is V11() real ext-real set
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((s / n) + (n / s)) + 2 is V1() V11() real ext-real positive non negative set
((s / n) + (n / s)) + 1 is V1() V11() real ext-real positive non negative set
(((s / n) + (n / s)) + 1) + 1 is V1() V11() real ext-real positive non negative set
s * (1 / n) is V1() V11() real ext-real positive non negative set
(s * (1 / n)) + (n / s) is V1() V11() real ext-real positive non negative set
((s * (1 / n)) + (n / s)) + 1 is V1() V11() real ext-real positive non negative set
(((s * (1 / n)) + (n / s)) + 1) + 1 is V1() V11() real ext-real positive non negative set
n * (1 / s) is V1() V11() real ext-real positive non negative set
(s * (1 / n)) + (n * (1 / s)) is V1() V11() real ext-real positive non negative set
((s * (1 / n)) + (n * (1 / s))) + 1 is V1() V11() real ext-real positive non negative set
(((s * (1 / n)) + (n * (1 / s))) + 1) + 1 is V1() V11() real ext-real positive non negative set
s * (1 / s) is V1() V11() real ext-real positive non negative set
((s * (1 / n)) + (n * (1 / s))) + (s * (1 / s)) is V1() V11() real ext-real positive non negative set
(((s * (1 / n)) + (n * (1 / s))) + (s * (1 / s))) + 1 is V1() V11() real ext-real positive non negative set
n * (1 / n) is V1() V11() real ext-real positive non negative set
(((s * (1 / n)) + (n * (1 / s))) + (s * (1 / s))) + (n * (1 / n)) is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
s |^ 3 is V11() real ext-real set
s |^ 4 is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
(s |^ 3) * n is V11() real ext-real set
n |^ 3 is V11() real ext-real set
s * (n |^ 3) is V11() real ext-real set
((s |^ 3) * n) + (s * (n |^ 3)) is V11() real ext-real set
n |^ 4 is V11() real ext-real set
(s |^ 4) + (n |^ 4) is V11() real ext-real 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
s ^2 is V11() real ext-real set
s * s is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
(s ^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) + (s * n)) + (n ^2) is V11() real ext-real set
((s - n) * (s - n)) * (((s ^2) + (s * n)) + (n ^2)) is V11() real ext-real set
(s - n) * (((s ^2) + (s * n)) + (n ^2)) is V11() real ext-real set
(s - n) * ((s - n) * (((s ^2) + (s * n)) + (n ^2))) is V11() real ext-real set
(s |^ 3) - (n |^ 3) is V11() real ext-real set
(s - n) * ((s |^ 3) - (n |^ 3)) is V11() real ext-real set
(s |^ 3) * s is V11() real ext-real set
((s |^ 3) * s) - ((s |^ 3) * n) is V11() real ext-real set
(n |^ 3) * (s - n) is V11() real ext-real set
(((s |^ 3) * s) - ((s |^ 3) * n)) - ((n |^ 3) * (s - n)) is V11() real ext-real set
3 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (3 + 1) is V11() real ext-real set
(s |^ (3 + 1)) - ((s |^ 3) * n) is V11() real ext-real set
((s |^ (3 + 1)) - ((s |^ 3) * n)) - ((n |^ 3) * (s - n)) is V11() real ext-real set
(s |^ 4) - ((s |^ 3) * n) is V11() real ext-real set
(n |^ 3) * s is V11() real ext-real set
(n |^ 3) * n is V11() real ext-real set
((n |^ 3) * s) - ((n |^ 3) * n) is V11() real ext-real set
((s |^ 4) - ((s |^ 3) * n)) - (((n |^ 3) * s) - ((n |^ 3) * n)) is V11() real ext-real set
n |^ (3 + 1) is V11() real ext-real set
((n |^ 3) * s) - (n |^ (3 + 1)) is V11() real ext-real set
((s |^ 4) - ((s |^ 3) * n)) - (((n |^ 3) * s) - (n |^ (3 + 1))) is V11() real ext-real set
((s |^ 3) * n) + ((n |^ 3) * s) is V11() real ext-real set
0 + (((s |^ 3) * n) + ((n |^ 3) * s)) is V11() real ext-real set
((s |^ 4) + (n |^ 4)) - ((s |^ 3) * n) is V11() real ext-real set
(((s |^ 4) + (n |^ 4)) - ((s |^ 3) * n)) - ((n |^ 3) * s) is V11() real ext-real set
((((s |^ 4) + (n |^ 4)) - ((s |^ 3) * n)) - ((n |^ 3) * s)) + (((s |^ 3) * n) + ((n |^ 3) * s)) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
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 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
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (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
n |^ 2 is V11() real ext-real set
(n |^ 2) * n is V11() real ext-real set
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ (2 + 1) is V11() real ext-real set
s - n is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
(s * n) * (s - n) is V11() real ext-real set
s * (n ^2) is V11() real ext-real set
0 + (s * (n ^2)) 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
(s ^2) * n is V11() real ext-real set
((s ^2) * n) - (s * (n ^2)) is V11() real ext-real set
(((s ^2) * n) - (s * (n ^2))) + (s * (n ^2)) is V11() real ext-real set
(s * (n ^2)) / (n |^ (2 + 1)) is V11() real ext-real Element of COMPLEX
((s ^2) * n) / (n |^ (2 + 1)) is V11() real ext-real Element of COMPLEX
((s ^2) * n) / ((n |^ 2) * n) is V11() real ext-real Element of COMPLEX
(s * (n ^2)) / ((n |^ 2) * n) is V11() real ext-real Element of COMPLEX
(n ^2) * n is V11() real ext-real set
((s ^2) * n) / ((n ^2) * n) is V11() real ext-real Element of COMPLEX
(s * (n ^2)) / ((n ^2) * n) is V11() real ext-real Element of COMPLEX
n * (n ^2) is V11() real ext-real set
(s * (n ^2)) / (n * (n ^2)) is V11() real ext-real Element of COMPLEX
(s ^2) / (n ^2) is V11() real ext-real Element of COMPLEX
(s / n) ^2 is V11() real ext-real Element of COMPLEX
(s / n) * (s / n) is V1() V11() real ext-real positive non negative set
sqrt ((s / n) ^2) is V11() real ext-real set
s 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 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 ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 2) is V11() real ext-real set
n + (sqrt (((s ^2) + (n ^2)) / 2)) is V11() real ext-real set
s + (sqrt (((s ^2) + (n ^2)) / 2)) is V11() real ext-real set
(n + (sqrt (((s ^2) + (n ^2)) / 2))) / (s + (sqrt (((s ^2) + (n ^2)) / 2))) is V11() real ext-real Element of COMPLEX
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (s / n) is V11() real ext-real set
s 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 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 ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 2) is V11() real ext-real set
n + (sqrt (((s ^2) + (n ^2)) / 2)) is V11() real ext-real set
s + (sqrt (((s ^2) + (n ^2)) / 2)) is V11() real ext-real set
(n + (sqrt (((s ^2) + (n ^2)) / 2))) / (s + (sqrt (((s ^2) + (n ^2)) / 2))) is V11() real ext-real Element of COMPLEX
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (s / n) is V11() real ext-real set
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
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
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 / ((1 / s) + (1 / 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
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
s + n is V1() V11() real ext-real positive non negative set
(2 * (sqrt (s * n))) / (s + n) is V11() real ext-real Element of COMPLEX
((2 * (sqrt (s * n))) / (s + n)) * (sqrt (s * n)) is V11() real ext-real set
1 * (sqrt (s * n)) is V11() real ext-real set
(s + n) / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
(2 * (sqrt (s * n))) / ((s + n) / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
(2 * (sqrt (s * n))) * (sqrt (s * n)) is V11() real ext-real set
((2 * (sqrt (s * n))) * (sqrt (s * n))) / (s + n) is V11() real ext-real Element of COMPLEX
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
2 * ((sqrt (s * n)) ^2) is V11() real ext-real set
(2 * ((sqrt (s * n)) ^2)) / (s + n) is V11() real ext-real Element of COMPLEX
2 * (s * n) is V1() V11() real ext-real positive non negative set
(2 * (s * n)) / (s + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
s 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 is V1() V11() real ext-real positive non negative 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
n ^2 is V11() real ext-real set
n * 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)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 2) is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative set
(2 * s) * n is V1() V11() real ext-real positive non negative set
((2 * s) * n) + ((s ^2) + (n ^2)) is V11() real ext-real set
((s ^2) + (n ^2)) + ((s ^2) + (n ^2)) is V11() real ext-real set
(s + n) ^2 is V11() real ext-real set
(s + n) * (s + n) is V1() V11() real ext-real positive non negative set
sqrt ((s + n) ^2) is V11() real ext-real set
2 * ((s ^2) + (n ^2)) is V11() real ext-real set
sqrt (2 * ((s ^2) + (n ^2))) is V11() real ext-real set
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (2 * 2) is V11() real ext-real Element of REAL
(sqrt (2 * ((s ^2) + (n ^2)))) / (sqrt (2 * 2)) is V11() real ext-real Element of COMPLEX
sqrt 2 is V11() real ext-real Element of REAL
(sqrt 2) * (sqrt 2) is V11() real ext-real set
(sqrt (2 * ((s ^2) + (n ^2)))) / ((sqrt 2) * (sqrt 2)) is V11() real ext-real Element of COMPLEX
sqrt ((s ^2) + (n ^2)) is V11() real ext-real set
(sqrt 2) * (sqrt ((s ^2) + (n ^2))) is V11() real ext-real set
((sqrt 2) * (sqrt ((s ^2) + (n ^2)))) / ((sqrt 2) * (sqrt 2)) is V11() real ext-real Element of COMPLEX
(sqrt 2) / (sqrt 2) is V11() real ext-real Element of COMPLEX
((sqrt 2) / (sqrt 2)) * (sqrt ((s ^2) + (n ^2))) is V11() real ext-real set
(((sqrt 2) / (sqrt 2)) * (sqrt ((s ^2) + (n ^2)))) / (sqrt 2) is V11() real ext-real Element of COMPLEX
1 * (sqrt ((s ^2) + (n ^2))) is V11() real ext-real set
(1 * (sqrt ((s ^2) + (n ^2)))) / (sqrt 2) is V11() real ext-real Element of COMPLEX
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
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) + (n ^2) is V11() real ext-real set
2 * ((s ^2) + (n ^2)) is V11() real ext-real set
sqrt (2 * ((s ^2) + (n ^2))) is V11() real ext-real set
2 * s is V11() real ext-real set
(2 * s) * n is V11() real ext-real set
((2 * s) * n) + ((s ^2) + (n ^2)) is V11() real ext-real set
((s ^2) + (n ^2)) + ((s ^2) + (n ^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 set
sqrt ((s + n) ^2) is V11() real ext-real set
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
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
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 / ((1 / s) + (1 / 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) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
s 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 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 ^2 is V11() real ext-real set
n * 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)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 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 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 ^2 is V11() real ext-real set
s * s 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
(1 / s) + (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 / ((1 / s) + (1 / n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
n ^2 is V11() real ext-real set
n * 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)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 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 is V11() real ext-real set
abs s is V11() real ext-real non negative Element of REAL
n is V11() real ext-real set
abs n is V11() real ext-real non negative Element of REAL
s + n is V11() real ext-real set
s * n is V11() real ext-real set
1 + (s * n) is V11() real ext-real set
(s + n) / (1 + (s * n)) is V11() real ext-real Element of COMPLEX
abs ((s + n) / (1 + (s * 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
1 - (n ^2) is V11() real ext-real set
(n ^2) - (n ^2) is V11() real ext-real set
s ^2 is V11() real ext-real set
s * s is V11() real ext-real set
1 - (s ^2) is V11() real ext-real set
(s ^2) - (s ^2) is V11() real ext-real set
(1 - (s ^2)) * (1 - (n ^2)) is V11() real ext-real set
(1 - (n ^2)) - (s ^2) is V11() real ext-real set
(s ^2) * (n ^2) is V11() real ext-real set
((1 - (n ^2)) - (s ^2)) + ((s ^2) * (n ^2)) is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
(((1 - (n ^2)) - (s ^2)) + ((s ^2) * (n ^2))) + ((s ^2) + (n ^2)) is V11() real ext-real set
0 + ((s ^2) + (n ^2)) is V11() real ext-real set
1 + ((s ^2) * (n ^2)) is V11() real ext-real set
2 * s is V11() real ext-real set
(2 * s) * n is V11() real ext-real set
(1 + ((s ^2) * (n ^2))) + ((2 * s) * n) is V11() real ext-real set
((s ^2) + (n ^2)) + ((2 * s) * n) is V11() real ext-real set
(1 + (s * n)) ^2 is V11() real ext-real set
(1 + (s * n)) * (1 + (s * n)) is V11() real ext-real set
(s * n) + 1 is V11() real ext-real set
((s * n) + 1) ^2 is V11() real ext-real set
((s * n) + 1) * ((s * n) + 1) is V11() real ext-real set
(((s * n) + 1) ^2) / ((1 + (s * n)) ^2) is V11() real ext-real Element of COMPLEX
(s + n) ^2 is V11() real ext-real set
(s + n) * (s + n) is V11() real ext-real set
((s + n) ^2) / ((1 + (s * n)) ^2) is V11() real ext-real Element of COMPLEX
((s + n) / (1 + (s * n))) ^2 is V11() real ext-real Element of COMPLEX
((s + n) / (1 + (s * n))) * ((s + n) / (1 + (s * n))) is V11() real ext-real set
abs 0 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
1 + (abs s) is V1() V11() real ext-real positive non negative set
(abs s) / (1 + (abs s)) is V11() real ext-real non negative Element of COMPLEX
n is V11() real ext-real set
s + n is V11() real ext-real set
abs (s + n) is V11() real ext-real non negative Element of REAL
1 + (abs (s + n)) is V1() V11() real ext-real positive non negative set
(abs (s + n)) / (1 + (abs (s + n))) is V11() real ext-real non negative Element of COMPLEX
abs n is V11() real ext-real non negative Element of REAL
1 + (abs n) is V1() V11() real ext-real positive non negative set
(abs n) / (1 + (abs n)) is V11() real ext-real non negative Element of COMPLEX
((abs s) / (1 + (abs s))) + ((abs n) / (1 + (abs n))) is V11() real ext-real non negative Element of COMPLEX
(1 + (abs n)) + (abs s) is V1() V11() real ext-real positive non negative set
(1 + (abs s)) + (abs n) is V1() V11() real ext-real positive non negative set
(abs s) / ((1 + (abs s)) + (abs n)) is V11() real ext-real non negative Element of COMPLEX
(abs n) / ((1 + (abs s)) + (abs n)) is V11() real ext-real non negative Element of COMPLEX
((abs s) / ((1 + (abs s)) + (abs n))) + ((abs n) / ((1 + (abs s)) + (abs n))) is V11() real ext-real non negative Element of COMPLEX
(abs s) + (abs n) is V11() real ext-real non negative set
1 / ((abs s) + (abs n)) is V11() real ext-real non negative Element of COMPLEX
1 / (abs (s + n)) is V11() real ext-real non negative Element of COMPLEX
(1 / ((abs s) + (abs n))) + 1 is V1() V11() real ext-real positive non negative set
(1 / (abs (s + n))) + 1 is V1() V11() real ext-real positive non negative set
1 / ((1 / (abs (s + n))) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 / ((1 / ((abs s) + (abs n))) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 * ((abs s) + (abs n)) is V11() real ext-real non negative set
((1 / ((abs s) + (abs n))) + 1) * ((abs s) + (abs n)) is V11() real ext-real non negative set
(1 * ((abs s) + (abs n))) / (((1 / ((abs s) + (abs n))) + 1) * ((abs s) + (abs n))) is V11() real ext-real non negative Element of COMPLEX
(1 / ((abs s) + (abs n))) * ((abs s) + (abs n)) is V11() real ext-real non negative set
((1 / ((abs s) + (abs n))) * ((abs s) + (abs n))) + ((abs s) + (abs n)) is V11() real ext-real non negative set
((abs s) + (abs n)) / (((1 / ((abs s) + (abs n))) * ((abs s) + (abs n))) + ((abs s) + (abs n))) is V11() real ext-real non negative Element of COMPLEX
1 + ((abs s) + (abs n)) is V1() V11() real ext-real positive non negative set
((abs s) + (abs n)) / (1 + ((abs s) + (abs n))) is V11() real ext-real non negative Element of COMPLEX
(abs (s + n)) / (abs (s + n)) is V11() real ext-real non negative Element of COMPLEX
(1 + (abs (s + n))) / (abs (s + n)) is V11() real ext-real non negative Element of COMPLEX
((abs (s + n)) / (abs (s + n))) / ((1 + (abs (s + n))) / (abs (s + n))) is V11() real ext-real non negative Element of COMPLEX
1 / ((1 + (abs (s + n))) / (abs (s + n))) is V11() real ext-real non negative Element of COMPLEX
(1 / (abs (s + n))) + ((abs (s + n)) / (abs (s + n))) is V11() real ext-real non negative Element of COMPLEX
1 / ((1 / (abs (s + n))) + ((abs (s + n)) / (abs (s + n)))) is V11() real ext-real non negative Element of COMPLEX
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(s + n) + n is V1() V11() real ext-real positive non negative set
s / ((s + n) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
x is V1() V11() real ext-real positive non negative set
(s + n) + x is V1() V11() real ext-real positive non negative set
n / ((s + n) + x) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / ((s + n) + n)) + (n / ((s + n) + x)) is V1() V11() real ext-real positive non negative Element of COMPLEX
n + x is V1() V11() real ext-real positive non negative set
(n + x) + n is V1() V11() real ext-real positive non negative set
x / ((n + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s / ((s + n) + n)) + (n / ((s + n) + x))) + (x / ((n + x) + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
s + x is V1() V11() real ext-real positive non negative set
(s + x) + n is V1() V11() real ext-real positive non negative set
n / ((s + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s / ((s + n) + n)) + (n / ((s + n) + x))) + (x / ((n + x) + n))) + (n / ((s + x) + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
n + ((s + n) + x) is V1() V11() real ext-real positive non negative set
0 + ((s + n) + x) is V1() V11() real ext-real positive non negative set
((s + n) + x) + n is V1() V11() real ext-real positive non negative set
n / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n + x) + n) + s is V1() V11() real ext-real positive non negative set
0 + ((n + x) + n) is V1() V11() real ext-real positive non negative set
x / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
x + ((s + n) + n) is V1() V11() real ext-real positive non negative set
0 + ((s + n) + n) is V1() V11() real ext-real positive non negative set
s / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / (((s + n) + x) + n)) + (n / (((s + n) + x) + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s + n) / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s + n) / (((s + n) + x) + n)) + (x / (((s + n) + x) + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s + n) + x) / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
n + ((s + x) + n) is V1() V11() real ext-real positive non negative set
0 + ((s + x) + n) is V1() V11() real ext-real positive non negative set
n / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s + n) + x) / (((s + n) + x) + n)) + (n / (((s + n) + x) + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s + n) + x) + n) / (((s + n) + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(s + n) + n is V1() V11() real ext-real positive non negative set
s / ((s + n) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
x is V1() V11() real ext-real positive non negative set
(s + n) + x is V1() V11() real ext-real positive non negative set
n / ((s + n) + x) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / ((s + n) + n)) + (n / ((s + n) + x)) is V1() V11() real ext-real positive non negative Element of COMPLEX
n + x is V1() V11() real ext-real positive non negative set
(n + x) + n is V1() V11() real ext-real positive non negative set
x / ((n + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s / ((s + n) + n)) + (n / ((s + n) + x))) + (x / ((n + x) + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
s + x is V1() V11() real ext-real positive non negative set
(s + x) + n is V1() V11() real ext-real positive non negative set
n / ((s + x) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s / ((s + n) + n)) + (n / ((s + n) + x))) + (x / ((n + x) + n))) + (n / ((s + x) + 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 Element of COMPLEX
s / (s + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / (s + n)) + (n / (s + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s + n) / (s + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
x + n is V1() V11() real ext-real positive non negative set
s + (x + n) is V1() V11() real ext-real positive non negative set
n / (x + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
n + (x + n) is V1() V11() real ext-real positive non negative set
x / (x + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + (x / (x + n)) is V1() V11() real ext-real positive non negative set
(1 + (x / (x + n))) + (n / (x + n)) is V1() V11() real ext-real positive non negative set
(x / (x + n)) + (n / (x + n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + ((x / (x + n)) + (n / (x + n))) is V1() V11() real ext-real positive non negative set
(x + n) / (x + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + ((x + n) / (x + n)) is V1() V11() real ext-real positive non negative set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
9 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
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 is V1() V11() real ext-real positive non negative set
(s + n) + n is V1() V11() real ext-real positive non negative set
9 / ((s + n) + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s + n) - n is V11() real ext-real set
1 / ((s + n) - n) is V11() real ext-real Element of COMPLEX
(n + n) - s is V11() real ext-real set
1 / ((n + n) - s) is V11() real ext-real Element of COMPLEX
(1 / ((s + n) - n)) + (1 / ((n + n) - s)) is V11() real ext-real Element of COMPLEX
n + s is V1() V11() real ext-real positive non negative set
(n + s) - n is V11() real ext-real set
1 / ((n + s) - n) is V11() real ext-real Element of COMPLEX
((1 / ((s + n) - n)) + (1 / ((n + n) - s))) + (1 / ((n + s) - n)) is V11() real ext-real Element of COMPLEX
(s + n) - n is V11() real ext-real set
((s + n) - n) * ((n + n) - s) is V11() real ext-real set
(((s + n) - n) * ((n + n) - s)) * ((n + s) - n) is V11() real ext-real set
3 -root ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) is V11() real ext-real set
3 * (3 -root ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))) is V11() real ext-real set
((s + n) - n) + ((n + n) - s) is V11() real ext-real set
(((s + n) - n) + ((n + n) - s)) + ((n + s) - n) is V11() real ext-real set
(1 / ((s + n) - n)) * (1 / ((n + n) - s)) is V11() real ext-real Element of COMPLEX
((1 / ((s + n) - n)) * (1 / ((n + n) - s))) * (1 / ((n + s) - n)) is V11() real ext-real Element of COMPLEX
3 -root (((1 / ((s + n) - n)) * (1 / ((n + n) - s))) * (1 / ((n + s) - n))) is V11() real ext-real set
3 * (3 -root (((1 / ((s + n) - n)) * (1 / ((n + n) - s))) * (1 / ((n + s) - n)))) is V11() real ext-real set
1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) is V11() real ext-real Element of COMPLEX
3 -root (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))) is V11() real ext-real set
3 * (3 -root (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)))) is V11() real ext-real set
(3 * (3 -root ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)))) * (3 * (3 -root (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))))) is V11() real ext-real set
((((s + n) - n) + ((n + n) - s)) + ((n + s) - n)) * (((1 / ((s + n) - n)) + (1 / ((n + n) - s))) + (1 / ((n + s) - n))) is V11() real ext-real set
(3 -root ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))) * (3 -root (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)))) is V11() real ext-real set
9 * ((3 -root ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))) * (3 -root (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))))) is V11() real ext-real set
((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) * (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))) is V11() real ext-real set
3 -root (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) * (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)))) is V11() real ext-real set
9 * (3 -root (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) * (1 / ((((s + n) - n) * ((n + n) - s)) * ((n + s) - n))))) is V11() real ext-real set
((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / 1 is V11() real ext-real Element of COMPLEX
((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / 1) is V11() real ext-real Element of COMPLEX
3 -root (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / 1)) is V11() real ext-real set
9 * (3 -root (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / (((((s + n) - n) * ((n + n) - s)) * ((n + s) - n)) / 1))) is V11() real ext-real set
3 -root 1 is V11() real ext-real Element of REAL
9 * (3 -root 1) is V11() real ext-real set
9 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative 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
x is V1() V11() real ext-real positive non negative set
n * x is V1() V11() real ext-real positive non negative set
sqrt (n * x) is V11() real ext-real set
(sqrt (s * n)) + (sqrt (n * x)) is V11() real ext-real set
n + x is V1() V11() real ext-real positive non negative set
(s + n) * (n + x) is V1() V11() real ext-real positive non negative set
sqrt ((s + n) * (n + x)) is V11() real ext-real set
s * x is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
(s * x) * (n * n) is V1() V11() real ext-real positive non negative set
sqrt ((s * x) * (n * n)) is V11() real ext-real set
2 * (sqrt ((s * x) * (n * n))) is V11() real ext-real set
(s * x) + (n * n) is V1() V11() real ext-real positive non negative set
(s * n) + (n * x) is V1() V11() real ext-real positive non negative set
(2 * (sqrt ((s * x) * (n * n)))) + ((s * n) + (n * x)) is V11() real ext-real set
((s * x) + (n * n)) + ((s * n) + (n * x)) is V1() V11() real ext-real positive non negative set
(2 * (sqrt ((s * x) * (n * n)))) + (s * n) is V11() real ext-real set
((2 * (sqrt ((s * x) * (n * n)))) + (s * n)) + (n * x) is V11() real ext-real set
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt ((s * x) * (n * n)))) + ((sqrt (s * n)) ^2) is V11() real ext-real set
((2 * (sqrt ((s * x) * (n * n)))) + ((sqrt (s * n)) ^2)) + (n * x) is V11() real ext-real set
(sqrt (n * x)) ^2 is V11() real ext-real set
(sqrt (n * x)) * (sqrt (n * x)) is V11() real ext-real set
((2 * (sqrt ((s * x) * (n * n)))) + ((sqrt (s * n)) ^2)) + ((sqrt (n * x)) ^2) is V11() real ext-real set
(s * n) * (n * x) is V1() V11() real ext-real positive non negative set
sqrt ((s * n) * (n * x)) is V11() real ext-real set
2 * (sqrt ((s * n) * (n * x))) is V11() real ext-real set
(2 * (sqrt ((s * n) * (n * x)))) + ((sqrt (s * n)) ^2) is V11() real ext-real set
((2 * (sqrt ((s * n) * (n * x)))) + ((sqrt (s * n)) ^2)) + ((sqrt (n * x)) ^2) is V11() real ext-real set
(sqrt ((s + n) * (n + x))) ^2 is V11() real ext-real set
(sqrt ((s + n) * (n + x))) * (sqrt ((s + n) * (n + x))) is V11() real ext-real set
(sqrt (s * n)) * (sqrt (n * x)) is V11() real ext-real set
2 * ((sqrt (s * n)) * (sqrt (n * x))) is V11() real ext-real set
((sqrt (s * n)) ^2) + (2 * ((sqrt (s * n)) * (sqrt (n * x)))) is V11() real ext-real set
(((sqrt (s * n)) ^2) + (2 * ((sqrt (s * n)) * (sqrt (n * x))))) + ((sqrt (n * x)) ^2) is V11() real ext-real set
((sqrt (s * n)) + (sqrt (n * x))) ^2 is V11() real ext-real set
((sqrt (s * n)) + (sqrt (n * x))) * ((sqrt (s * n)) + (sqrt (n * x))) is V11() real ext-real set
sqrt (((sqrt (s * n)) + (sqrt (n * x))) ^2) is V11() real ext-real set
sqrt ((sqrt ((s + n) * (n + x))) ^2) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
4 * s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(4 * s) * n is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
((4 * s) * n) * n is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
x is V1() V11() real ext-real positive non negative set
(((4 * s) * n) * n) * x is V1() V11() real ext-real positive non negative set
n * x is V1() V11() real ext-real positive non negative set
(s * n) + (n * x) is V1() V11() real ext-real positive non negative set
n * x is V1() V11() real ext-real positive non negative set
(s * n) + (n * x) is V1() V11() real ext-real positive non negative set
((s * n) + (n * x)) * ((s * n) + (n * x)) is V1() V11() real ext-real positive non negative set
s * x is V1() V11() real ext-real positive non negative set
sqrt (s * x) is V11() real ext-real set
2 * (sqrt (s * x)) is V11() real ext-real set
(2 * (sqrt (s * x))) ^2 is V11() real ext-real set
(2 * (sqrt (s * x))) * (2 * (sqrt (s * x))) is V11() real ext-real set
s + x is V1() V11() real ext-real positive non negative set
(s + x) ^2 is V11() real ext-real set
(s + x) * (s + x) is V1() V11() real ext-real positive non negative set
2 ^2 is V11() real ext-real Element of REAL
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative set
(sqrt (s * x)) ^2 is V11() real ext-real set
(sqrt (s * x)) * (sqrt (s * x)) is V11() real ext-real set
(2 ^2) * ((sqrt (s * x)) ^2) is V11() real ext-real set
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) * (s * x) is V1() V11() real ext-real positive non negative set
(4 * s) * x is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
((4 * s) * x) * (n * n) is V1() V11() real ext-real positive non negative set
((s + x) ^2) * (n * n) is V11() real ext-real set
sqrt (s * n) is V11() real ext-real set
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
((sqrt (s * n)) ^2) + (n * x) is V11() real ext-real set
(((sqrt (s * n)) ^2) + (n * x)) * ((s * n) + (n * x)) is V11() real ext-real set
sqrt (n * x) is V11() real ext-real set
(sqrt (n * x)) ^2 is V11() real ext-real set
(sqrt (n * x)) * (sqrt (n * x)) is V11() real ext-real set
((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2) is V11() real ext-real set
(((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) * ((s * n) + (n * x)) is V11() real ext-real set
sqrt (s * n) is V11() real ext-real set
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
((sqrt (s * n)) ^2) + (n * x) is V11() real ext-real set
(((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) * (((sqrt (s * n)) ^2) + (n * x)) is V11() real ext-real set
sqrt (n * x) is V11() real ext-real set
(sqrt (n * x)) ^2 is V11() real ext-real set
(sqrt (n * x)) * (sqrt (n * x)) is V11() real ext-real set
((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2) is V11() real ext-real set
(((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) * (((sqrt (s * n)) ^2) + ((sqrt (n * x)) ^2)) is V11() real ext-real set
(n * n) * ((s + x) ^2) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n 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
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 is V1() V11() real ext-real positive non negative Element of COMPLEX
((s / n) + (n / n)) + (n / s) 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
((s / n) * (n / n)) * (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 -root (((s / n) * (n / n)) * (n / s)) is V11() real ext-real set
3 * (3 -root (((s / n) * (n / n)) * (n / s))) is V11() real ext-real set
s * 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 * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) / (n * n)) * (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 -root (((s * n) / (n * n)) * (n / s)) is V11() real ext-real set
3 * (3 -root (((s * n) / (n * n)) * (n / s))) is V11() real ext-real set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / n) * (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 -root ((s / n) * (n / s)) is V11() real ext-real set
3 * (3 -root ((s / n) * (n / s))) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
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
3 -root ((s * n) / (n * s)) is V11() real ext-real set
3 * (3 -root ((s * n) / (n * s))) is V11() real ext-real set
3 -root 1 is V11() real ext-real Element of REAL
3 * (3 -root 1) is V11() real ext-real set
3 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s is V1() V11() real ext-real positive non negative set
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 V1() V11() real ext-real positive non negative set
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 * n) is V1() V11() real ext-real positive non negative set
n * s is V1() V11() real ext-real positive non negative set
((s * n) + (n * n)) + (n * s) is V1() V11() real ext-real positive non negative set
(s + 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 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
(s ^2) + (n ^2) 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) + (n ^2)) + (n ^2) is V11() real ext-real set
1 + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(((s ^2) + (n ^2)) + (n ^2)) + 2 is V11() real ext-real set
((s + n) + n) ^2 is V11() real ext-real set
((s + n) + n) * ((s + n) + n) is V1() V11() real ext-real positive non negative set
sqrt (((s + n) + n) ^2) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(s + n) - n is V11() real ext-real set
((s + n) - n) / n is V11() real ext-real Element of COMPLEX
n + n is V1() V11() real ext-real positive non negative set
(n + n) - s is V11() real ext-real set
((n + n) - s) / s is V11() real ext-real Element of COMPLEX
(((s + n) - n) / n) + (((n + n) - s) / s) is V11() real ext-real Element of COMPLEX
n + s is V1() V11() real ext-real positive non negative set
(n + s) - n is V11() real ext-real set
((n + s) - n) / n is V11() real ext-real Element of COMPLEX
((((s + n) - n) / n) + (((n + n) - s) / s)) + (((n + s) - n) / n) is V11() real ext-real Element of COMPLEX
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(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
((s / n) + (n / s)) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
n / s 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
(n / s) + (s / n) 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 / s) + (s / n)) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(((n / s) + (s / n)) + (n / n)) + (((s / n) + (n / s)) + (n / n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
6 - 3 is V11() real ext-real set
(((n / s) + (s / n)) + (n / n)) + (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((n / s) + (s / n)) + (n / n)) + (s / n)) + (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((((n / s) + (s / n)) + (n / n)) + (s / n)) + (n / s)) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((((n / s) + (s / n)) + (n / n)) + (s / n)) + (n / s)) + (n / n)) - 3 is V11() real ext-real set
(s + 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 Element of COMPLEX
((s + n) / n) - (n / n) is V11() real ext-real Element of COMPLEX
(((s + n) / n) - (n / n)) + (((n + n) - s) / s) is V11() real ext-real Element of COMPLEX
((((s + n) / n) - (n / n)) + (((n + n) - s) / s)) + (((n + s) - n) / n) is V11() real ext-real Element of COMPLEX
((s + n) / n) - 1 is V11() real ext-real set
(((s + n) / n) - 1) + (((n + n) - s) / s) is V11() real ext-real set
((((s + n) / n) - 1) + (((n + n) - s) / s)) + (((n + s) - n) / n) is V11() real ext-real set
(n + n) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
s / s is V1() V11() real ext-real positive non negative Element of COMPLEX
((n + n) / s) - (s / s) is V11() real ext-real Element of COMPLEX
(((s + n) / n) - 1) + (((n + n) / s) - (s / s)) is V11() real ext-real set
((((s + n) / n) - 1) + (((n + n) / s) - (s / s))) + (((n + s) - n) / n) is V11() real ext-real set
((n + n) / s) - 1 is V11() real ext-real set
(((s + n) / n) - 1) + (((n + n) / s) - 1) is V11() real ext-real set
((((s + n) / n) - 1) + (((n + n) / s) - 1)) + (((n + s) - n) / n) is V11() real ext-real set
(((s + n) / n) - 1) + ((n + n) / s) is V11() real ext-real set
((((s + n) / n) - 1) + ((n + n) / s)) - 1 is V11() real ext-real set
(n + s) / n 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 + s) / n) - (n / n) is V11() real ext-real Element of COMPLEX
(((((s + n) / n) - 1) + ((n + n) / s)) - 1) + (((n + s) / n) - (n / n)) is V11() real ext-real set
((n + s) / n) - 1 is V11() real ext-real set
(((((s + n) / n) - 1) + ((n + n) / s)) - 1) + (((n + s) / n) - 1) is V11() real ext-real set
((s + n) / n) + ((n + n) / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s + n) / n) + ((n + n) / s)) + ((n + s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((s + n) / n) + ((n + n) / s)) + ((n + s) / n)) - 3 is V11() real ext-real set
(s / n) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s / n) + (n / n)) + ((n + n) / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s / n) + (n / n)) + ((n + n) / s)) + ((n + s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((s / n) + (n / n)) + ((n + n) / s)) + ((n + s) / n)) - 3 is V11() real ext-real set
(n / s) + (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s / n) + (n / n)) + ((n / s) + (n / s)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s / n) + (n / n)) + ((n / s) + (n / s))) + ((n + s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((s / n) + (n / n)) + ((n / s) + (n / s))) + ((n + s) / n)) - 3 is V11() real ext-real set
(n / n) + (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s / n) + (n / n)) + ((n / s) + (n / s))) + ((n / n) + (s / n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
((((s / n) + (n / n)) + ((n / s) + (n / s))) + ((n / n) + (s / n))) - 3 is V11() real ext-real set
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 + (1 / s) is V1() V11() real ext-real positive non negative 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
1 / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
(sqrt (s * n)) + (1 / (sqrt (s * n))) is V11() real ext-real set
((sqrt (s * n)) + (1 / (sqrt (s * n)))) ^2 is V11() real ext-real set
((sqrt (s * n)) + (1 / (sqrt (s * n)))) * ((sqrt (s * n)) + (1 / (sqrt (s * n)))) is V11() real ext-real set
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n + (1 / n) is V1() V11() real ext-real positive non negative set
(s + (1 / s)) * (n + (1 / n)) is V1() V11() real ext-real positive non negative set
s * (1 / n) is V1() V11() real ext-real positive non negative set
(s * n) + (s * (1 / n)) is V1() V11() real ext-real positive non negative set
(1 / s) * n is V1() V11() real ext-real positive non negative set
((s * n) + (s * (1 / n))) + ((1 / s) * n) is V1() V11() real ext-real positive non negative set
(1 / s) * (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s * n) + (s * (1 / n))) + ((1 / s) * n)) + ((1 / s) * (1 / n)) is V1() V11() real ext-real positive non negative set
s * 1 is V1() V11() real ext-real positive non negative set
(s * 1) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * n) + ((s * 1) / n) is V1() V11() real ext-real positive non negative set
((s * n) + ((s * 1) / n)) + ((1 / s) * n) is V1() V11() real ext-real positive non negative set
(((s * n) + ((s * 1) / n)) + ((1 / s) * n)) + ((1 / s) * (1 / n)) is V1() V11() real ext-real positive non negative set
n * 1 is V1() V11() real ext-real positive non negative set
(n * 1) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) + ((s * 1) / n)) + ((n * 1) / s) is V1() V11() real ext-real positive non negative set
(((s * n) + ((s * 1) / n)) + ((n * 1) / s)) + ((1 / s) * (1 / n)) is V1() V11() real ext-real positive non negative set
1 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 1) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s * n) + ((s * 1) / n)) + ((n * 1) / s)) + ((1 * 1) / (s * n)) is V1() V11() real ext-real positive non negative set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * n) + (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 * n) + (s / n)) + (n / s) 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) + (s / n)) + (n / s)) + (1 / (s * n)) 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
sqrt ((s / n) * (n / s)) is V11() real ext-real set
2 * (sqrt ((s / n) * (n / s))) is V11() real ext-real set
(s / n) + (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
sqrt ((s * n) / (n * s)) is V11() real ext-real set
2 * (sqrt ((s * n) / (n * s))) is V11() real ext-real set
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(s * n) + (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 / n) + (n / s)) + ((s * n) + (1 / (s * n))) is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) * (1 / (sqrt (s * n))) is V11() real ext-real set
((sqrt (s * n)) ^2) + ((2 * (sqrt (s * n))) * (1 / (sqrt (s * n)))) is V11() real ext-real set
(1 / (sqrt (s * n))) ^2 is V11() real ext-real Element of COMPLEX
(1 / (sqrt (s * n))) * (1 / (sqrt (s * n))) is V11() real ext-real set
(((sqrt (s * n)) ^2) + ((2 * (sqrt (s * n))) * (1 / (sqrt (s * n))))) + ((1 / (sqrt (s * n))) ^2) is V11() real ext-real set
(s * n) + ((2 * (sqrt (s * n))) * (1 / (sqrt (s * n)))) is V11() real ext-real set
((s * n) + ((2 * (sqrt (s * n))) * (1 / (sqrt (s * n))))) + ((1 / (sqrt (s * n))) ^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 ^2) / ((sqrt (s * n)) ^2) is V11() real ext-real Element of COMPLEX
((s * n) + ((2 * (sqrt (s * n))) * (1 / (sqrt (s * n))))) + ((1 ^2) / ((sqrt (s * n)) ^2)) is V11() real ext-real set
(sqrt (s * n)) * (1 / (sqrt (s * n))) is V11() real ext-real set
2 * ((sqrt (s * n)) * (1 / (sqrt (s * n)))) is V11() real ext-real set
(s * n) + (2 * ((sqrt (s * n)) * (1 / (sqrt (s * n))))) is V11() real ext-real set
((s * n) + (2 * ((sqrt (s * n)) * (1 / (sqrt (s * n)))))) + (1 / (s * n)) is V11() real ext-real set
(sqrt (s * n)) * 1 is V11() real ext-real set
((sqrt (s * n)) * 1) / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
2 * (((sqrt (s * n)) * 1) / (sqrt (s * n))) is V11() real ext-real set
(s * n) + (2 * (((sqrt (s * n)) * 1) / (sqrt (s * n)))) is V11() real ext-real set
((s * n) + (2 * (((sqrt (s * n)) * 1) / (sqrt (s * n))))) + (1 / (s * n)) is V11() real ext-real set
(s * n) + (2 * 1) is V1() V11() real ext-real positive non negative set
((s * n) + (2 * 1)) + (1 / (s * n)) is V1() V11() real ext-real positive non negative set
(s * n) + 2 is V1() V11() real ext-real positive non negative set
((s * n) + 2) + (1 / (s * n)) is V1() V11() real ext-real positive non negative set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
n + s is V1() V11() real ext-real positive non negative set
(n + s) + n is V1() V11() real ext-real positive non negative set
(s * 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 is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) / n) + ((n * 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
(n * s) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s * n) / n) + ((n * n) / s)) + ((n * s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n * n) / s) + ((n * s) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
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
(n * (n / s)) + ((n * s) / n) 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 * (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 set
(n / s) + (s / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
n * ((n / s) + (s / n)) is V1() V11() real ext-real positive non negative set
((n * s) / n) + ((s * 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 Element of COMPLEX
s * (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 set
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
(s * (n / n)) + (s * (n / n)) is V1() V11() real ext-real positive non negative set
(n / n) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
s * ((n / n) + (n / n)) is V1() V11() real ext-real positive non negative set
s * 2 is V1() V11() real ext-real positive non negative set
n * 2 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 / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(s / n) + (n / s) is V1() V11() real ext-real positive non negative Element of COMPLEX
n * ((s / n) + (n / s)) is V1() V11() real ext-real positive non negative set
n * 2 is V1() V11() real ext-real positive non negative set
(n * 2) + (s * 2) is V1() V11() real ext-real positive non negative set
(n * ((n / s) + (s / n))) + (s * ((n / n) + (n / n))) is V1() V11() real ext-real positive non negative set
((n * 2) + (s * 2)) + (n * 2) is V1() V11() real ext-real positive non negative set
((n * ((n / s) + (s / n))) + (s * ((n / n) + (n / n)))) + (n * ((s / n) + (n / s))) 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)) + ((n * n) / s) is V1() V11() real ext-real positive non negative set
n * (n / s) is V1() V11() real ext-real positive non negative set
(n * (s / n)) + (n * (n / s)) is V1() V11() real ext-real positive non negative set
2 * ((n + s) + n) is V1() V11() real ext-real positive non negative set
(2 * ((n + s) + n)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * ((((s * n) / n) + ((n * n) / s)) + ((n * s) / n)) is V1() V11() real ext-real positive non negative set
(2 * ((((s * n) / n) + ((n * n) / s)) + ((n * s) / n))) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
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
(s ^2) * n is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
s * (n ^2) is V11() real ext-real set
n is V11() real ext-real set
(n ^2) * n is V11() real ext-real set
((s ^2) * n) + ((n ^2) * 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 is V11() real ext-real set
(((s ^2) * n) + ((n ^2) * n)) + ((n ^2) * s) is V11() real ext-real set
n * (n ^2) is V11() real ext-real set
(s * (n ^2)) + (n * (n ^2)) is V11() real ext-real set
n * (s ^2) is V11() real ext-real set
((s * (n ^2)) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
n - n is V11() real ext-real set
s - n is V11() real ext-real set
s - n is V11() real ext-real set
(s - n) * (n - n) is V11() real ext-real set
((s - n) * (n - n)) * (s - n) is V11() real ext-real set
((((s ^2) * n) + ((n ^2) * n)) + ((n ^2) * s)) - (((s * (n ^2)) + (n * (n ^2))) + (n * (s ^2))) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s - n is V11() real ext-real set
n / (s - n) is V11() real ext-real Element of COMPLEX
n is V1() V11() real ext-real positive non negative set
s - n is V11() real ext-real set
n / (s - n) is V11() real ext-real Element of COMPLEX
- 1 is V1() V11() real ext-real non positive negative set
n * (- 1) is V1() V11() real ext-real non positive negative set
n * (- 1) is V1() V11() real ext-real non positive negative set
- n is V1() V11() real ext-real non positive negative set
(- n) + s is V11() real ext-real set
- n is V1() V11() real ext-real non positive negative set
(- n) + s is V11() real ext-real set
n / (s - n) is V11() real ext-real Element of COMPLEX
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
n + n is V1() V11() real ext-real positive non negative set
n / (n + n) is V1() V11() real ext-real positive non negative Element of COMPLEX
x is V1() V11() real ext-real positive non negative set
x + s is V1() V11() real ext-real positive non negative set
x / (x + s) is V1() V11() real ext-real positive non negative Element of COMPLEX
s * n is V1() V11() real ext-real positive non negative set
n * x is V1() V11() real ext-real positive non negative set
n * x is V1() V11() real ext-real positive non negative set
(s * n) + (n * x) is V1() V11() real ext-real positive non negative set
(n * x) + (n * x) is V1() V11() real ext-real positive non negative set
s + x is V1() V11() real ext-real positive non negative set
n * (s + x) is V1() V11() real ext-real positive non negative set
n + n is V1() V11() real ext-real positive non negative set
x * (n + n) is V1() V11() real ext-real positive non negative 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
s * 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 V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
sqrt ((s ^2) + (n ^2)) is V11() real ext-real set
x is V11() real ext-real set
n * x is V11() real ext-real set
(s * n) + (n * x) is V11() real ext-real set
x ^2 is V11() real ext-real set
x * x is V11() real ext-real set
(n ^2) + (x ^2) is V11() real ext-real set
sqrt ((n ^2) + (x ^2)) is V11() real ext-real set
(sqrt ((s ^2) + (n ^2))) * (sqrt ((n ^2) + (x ^2))) is V11() real ext-real set
((s * n) + (n * x)) ^2 is V11() real ext-real set
((s * n) + (n * x)) * ((s * n) + (n * x)) is V11() real ext-real set
s * x is V11() real ext-real set
2 * (s * x) is V11() real ext-real set
n * n is V11() real ext-real set
(2 * (s * x)) * (n * n) is V11() real ext-real set
(s * x) ^2 is V11() real ext-real set
(s * x) * (s * x) is V11() real ext-real set
(n * n) ^2 is V11() real ext-real set
(n * n) * (n * n) is V11() real ext-real set
((s * x) ^2) + ((n * n) ^2) is V11() real ext-real set
2 * s is V11() real ext-real set
(2 * s) * n is V11() real ext-real set
((2 * s) * n) * x is V11() real ext-real set
(((2 * s) * n) * x) * n is V11() real ext-real set
(s ^2) * (n ^2) is V11() real ext-real set
(n ^2) * (x ^2) is V11() real ext-real set
((s ^2) * (n ^2)) + ((n ^2) * (x ^2)) is V11() real ext-real set
((((2 * s) * n) * x) * n) + (((s ^2) * (n ^2)) + ((n ^2) * (x ^2))) is V11() real ext-real set
(((s * x) ^2) + ((n * n) ^2)) + (((s ^2) * (n ^2)) + ((n ^2) * (x ^2))) is V11() real ext-real set
((sqrt ((s ^2) + (n ^2))) * (sqrt ((n ^2) + (x ^2)))) ^2 is V11() real ext-real set
((sqrt ((s ^2) + (n ^2))) * (sqrt ((n ^2) + (x ^2)))) * ((sqrt ((s ^2) + (n ^2))) * (sqrt ((n ^2) + (x ^2)))) is V11() real ext-real set
(sqrt ((s ^2) + (n ^2))) ^2 is V11() real ext-real set
(sqrt ((s ^2) + (n ^2))) * (sqrt ((s ^2) + (n ^2))) is V11() real ext-real set
(sqrt ((n ^2) + (x ^2))) ^2 is V11() real ext-real set
(sqrt ((n ^2) + (x ^2))) * (sqrt ((n ^2) + (x ^2))) is V11() real ext-real set
((sqrt ((s ^2) + (n ^2))) ^2) * ((sqrt ((n ^2) + (x ^2))) ^2) is V11() real ext-real set
((s ^2) + (n ^2)) * ((sqrt ((n ^2) + (x ^2))) ^2) is V11() real ext-real set
((s ^2) + (n ^2)) * ((n ^2) + (x ^2)) is V11() real ext-real set
((s ^2) * (n ^2)) + ((s * x) ^2) is V11() real ext-real set
(((s ^2) * (n ^2)) + ((s * x) ^2)) + ((n * n) ^2) is V11() real ext-real set
((((s ^2) * (n ^2)) + ((s * x) ^2)) + ((n * n) ^2)) + ((n ^2) * (x ^2)) is V11() real ext-real set
sqrt (((s * n) + (n * x)) ^2) is V11() real ext-real set
sqrt (((sqrt ((s ^2) + (n ^2))) * (sqrt ((n ^2) + (x ^2)))) ^2) 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
s * 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 V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
x is V11() real ext-real set
n * x is V11() real ext-real set
(s * n) + (n * x) is V11() real ext-real set
x ^2 is V11() real ext-real set
x * x is V11() real ext-real set
(n ^2) + (x ^2) is V11() real ext-real set
y is V11() real ext-real set
y ^2 is V11() real ext-real set
y * y is V11() real ext-real set
((s ^2) + (n ^2)) + (y ^2) is V11() real ext-real set
z is V11() real ext-real set
y * z is V11() real ext-real set
((s * n) + (n * x)) + (y * z) is V11() real ext-real set
(((s * n) + (n * x)) + (y * z)) ^2 is V11() real ext-real set
(((s * n) + (n * x)) + (y * z)) * (((s * n) + (n * x)) + (y * z)) is V11() real ext-real set
z ^2 is V11() real ext-real set
z * z is V11() real ext-real set
((n ^2) + (x ^2)) + (z ^2) is V11() real ext-real set
(((s ^2) + (n ^2)) + (y ^2)) * (((n ^2) + (x ^2)) + (z ^2)) is V11() real ext-real set
(s ^2) * (z ^2) is V11() real ext-real set
(y ^2) * (n ^2) is V11() real ext-real set
((s ^2) * (z ^2)) + ((y ^2) * (n ^2)) is V11() real ext-real set
s * z is V11() real ext-real set
(s * z) ^2 is V11() real ext-real set
(s * z) * (s * z) is V11() real ext-real set
y * n is V11() real ext-real set
(y * n) ^2 is V11() real ext-real set
(y * n) * (y * n) is V11() real ext-real set
((s * z) ^2) + ((y * n) ^2) is V11() real ext-real set
2 * (s * z) is V11() real ext-real set
(2 * (s * z)) * (y * n) is V11() real ext-real set
(n ^2) * (z ^2) is V11() real ext-real set
(y ^2) * (x ^2) is V11() real ext-real set
((n ^2) * (z ^2)) + ((y ^2) * (x ^2)) is V11() real ext-real set
n * z is V11() real ext-real set
(n * z) ^2 is V11() real ext-real set
(n * z) * (n * z) is V11() real ext-real set
y * x is V11() real ext-real set
(y * x) ^2 is V11() real ext-real set
(y * x) * (y * x) is V11() real ext-real set
((n * z) ^2) + ((y * x) ^2) is V11() real ext-real set
2 * (n * z) is V11() real ext-real set
(2 * (n * z)) * (y * x) is V11() real ext-real set
s * x is V11() real ext-real set
2 * (s * x) is V11() real ext-real set
n * n is V11() real ext-real set
(2 * (s * x)) * (n * n) is V11() real ext-real set
(s * x) ^2 is V11() real ext-real set
(s * x) * (s * x) is V11() real ext-real set
(n * n) ^2 is V11() real ext-real set
(n * n) * (n * n) is V11() real ext-real set
((s * x) ^2) + ((n * n) ^2) is V11() real ext-real set
2 * s is V11() real ext-real set
(2 * s) * x is V11() real ext-real set
((2 * s) * x) * n is V11() real ext-real set
(((2 * s) * x) * n) * n is V11() real ext-real set
(2 * s) * z is V11() real ext-real set
((2 * s) * z) * y is V11() real ext-real set
(((2 * s) * z) * y) * n is V11() real ext-real set
((((2 * s) * x) * n) * n) + ((((2 * s) * z) * y) * n) is V11() real ext-real set
(s ^2) * (x ^2) is V11() real ext-real set
(n ^2) * (n ^2) is V11() real ext-real set
((s ^2) * (x ^2)) + ((n ^2) * (n ^2)) is V11() real ext-real set
(((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + (((s ^2) * (z ^2)) + ((y ^2) * (n ^2))) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * z is V11() real ext-real set
((2 * n) * z) * y is V11() real ext-real set
(((2 * n) * z) * y) * x is V11() real ext-real set
(((((2 * s) * x) * n) * n) + ((((2 * s) * z) * y) * n)) + ((((2 * n) * z) * y) * x) is V11() real ext-real set
(((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + ((s ^2) * (z ^2)) is V11() real ext-real set
((((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + ((s ^2) * (z ^2))) + ((y ^2) * (n ^2)) is V11() real ext-real set
(((((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + ((s ^2) * (z ^2))) + ((y ^2) * (n ^2))) + (((n ^2) * (z ^2)) + ((y ^2) * (x ^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 set
(n * x) ^2 is V11() real ext-real set
(n * x) * (n * x) is V11() real ext-real set
((s * n) ^2) + ((n * x) ^2) is V11() real ext-real set
(y * z) ^2 is V11() real ext-real set
(y * z) * (y * z) is V11() real ext-real set
(((s * n) ^2) + ((n * x) ^2)) + ((y * z) ^2) is V11() real ext-real set
((((((2 * s) * x) * n) * n) + ((((2 * s) * z) * y) * n)) + ((((2 * n) * z) * y) * x)) + ((((s * n) ^2) + ((n * x) ^2)) + ((y * z) ^2)) is V11() real ext-real set
(((((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + ((s ^2) * (z ^2))) + ((y ^2) * (n ^2))) + ((n ^2) * (z ^2)) is V11() real ext-real set
((((((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + ((s ^2) * (z ^2))) + ((y ^2) * (n ^2))) + ((n ^2) * (z ^2))) + ((y ^2) * (x ^2)) is V11() real ext-real set
(((((((s ^2) * (x ^2)) + ((n ^2) * (n ^2))) + ((s ^2) * (z ^2))) + ((y ^2) * (n ^2))) + ((n ^2) * (z ^2))) + ((y ^2) * (x ^2))) + ((((s * n) ^2) + ((n * x) ^2)) + ((y * z) ^2)) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
9 * s 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 is V1() V11() real ext-real positive non negative set
(9 * s) * 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 ^2) + (n ^2) is V11() real ext-real set
s + n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
((9 * s) * n) * 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 ^2) + (n ^2)) + (n ^2) is V11() real ext-real set
(((9 * s) * n) * n) / (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real Element of COMPLEX
(s + n) + 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
2 * (sqrt (s * n)) is V11() real ext-real set
(n ^2) * (2 * (sqrt (s * n))) is V11() real ext-real set
s + n is V1() V11() real ext-real positive non negative set
(n ^2) * (s + n) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(n ^2) * (2 * (sqrt (s * n))) is V11() real ext-real set
(n ^2) * (s + n) is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
2 * (s ^2) is V11() real ext-real set
(2 * (s ^2)) * (sqrt (n * n)) is V11() real ext-real set
2 * (n ^2) is V11() real ext-real set
(2 * (n ^2)) * (sqrt (s * n)) is V11() real ext-real set
((2 * (s ^2)) * (sqrt (n * n))) * ((2 * (n ^2)) * (sqrt (s * n))) is V11() real ext-real set
2 * (n ^2) is V11() real ext-real set
(2 * (n ^2)) * (sqrt (s * n)) is V11() real ext-real set
(((2 * (s ^2)) * (sqrt (n * n))) * ((2 * (n ^2)) * (sqrt (s * n)))) * ((2 * (n ^2)) * (sqrt (s * n))) is V11() real ext-real set
3 -root ((((2 * (s ^2)) * (sqrt (n * n))) * ((2 * (n ^2)) * (sqrt (s * n)))) * ((2 * (n ^2)) * (sqrt (s * n)))) is V11() real ext-real set
3 * (3 -root ((((2 * (s ^2)) * (sqrt (n * n))) * ((2 * (n ^2)) * (sqrt (s * n)))) * ((2 * (n ^2)) * (sqrt (s * n))))) is V11() real ext-real set
((2 * (s ^2)) * (sqrt (n * n))) + ((2 * (n ^2)) * (sqrt (s * n))) is V11() real ext-real set
(((2 * (s ^2)) * (sqrt (n * n))) + ((2 * (n ^2)) * (sqrt (s * n)))) + ((2 * (n ^2)) * (sqrt (s * n))) is V11() real ext-real set
((2 * (s ^2)) * (sqrt (n * n))) * 2 is V11() real ext-real set
(((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2) is V11() real ext-real set
((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n)) is V11() real ext-real set
(((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2 is V11() real ext-real set
((((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2) * (n ^2) is V11() real ext-real set
(((((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2) * (n ^2)) * (sqrt (s * n)) is V11() real ext-real set
3 -root ((((((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2) * (n ^2)) * (sqrt (s * n))) is V11() real ext-real set
3 * (3 -root ((((((((2 * (s ^2)) * (sqrt (n * n))) * 2) * (n ^2)) * (sqrt (s * n))) * 2) * (n ^2)) * (sqrt (s * n)))) is V11() real ext-real set
2 * s is V1() V11() real ext-real positive non negative set
(2 * s) * n is V1() V11() real ext-real positive non negative set
((2 * s) * n) * n is V1() V11() real ext-real positive non negative set
(((2 * s) * n) * n) |^ 3 is V11() real ext-real set
3 -root ((((2 * s) * n) * n) |^ 3) is V11() real ext-real set
3 * (3 -root ((((2 * s) * n) * n) |^ 3)) is V11() real ext-real set
3 * (((2 * s) * n) * n) is V1() V11() real ext-real positive non negative set
3 * s is V1() V11() real ext-real positive non negative set
(3 * s) * n is V1() V11() real ext-real positive non negative set
((3 * s) * n) * n is V1() V11() real ext-real positive non negative set
s |^ 3 is V11() real ext-real set
n |^ 3 is V11() real ext-real set
(s |^ 3) + (n |^ 3) is V11() real ext-real set
n |^ 3 is V11() real ext-real set
((s |^ 3) + (n |^ 3)) + (n |^ 3) is V11() real ext-real set
2 * (sqrt (n * n)) is V11() real ext-real set
(s ^2) * (2 * (sqrt (n * n))) is V11() real ext-real set
n + n is V1() V11() real ext-real positive non negative set
(s ^2) * (n + n) is V11() real ext-real set
((s ^2) * (2 * (sqrt (n * n)))) + ((n ^2) * (2 * (sqrt (s * n)))) is V11() real ext-real set
((s ^2) * (n + n)) + ((n ^2) * (s + n)) is V11() real ext-real set
(((s ^2) * (n + n)) + ((n ^2) * (s + n))) + ((n ^2) * (s + n)) is V11() real ext-real set
6 * s is V1() V11() real ext-real positive non negative set
(6 * s) * n is V1() V11() real ext-real positive non negative set
((6 * s) * n) * n is V1() V11() real ext-real positive non negative set
s * (n ^2) is V11() real ext-real set
s * (n ^2) is V11() real ext-real set
(s * (n ^2)) + (s * (n ^2)) is V11() real ext-real set
n * (s ^2) is V11() real ext-real set
((s * (n ^2)) + (s * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
n * (n ^2) is V11() real ext-real set
(((s * (n ^2)) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
n * (s ^2) is V11() real ext-real set
((((s * (n ^2)) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
n * (n ^2) is V11() real ext-real set
(((((s * (n ^2)) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
(((3 * s) * n) * n) + (((6 * s) * n) * n) is V1() V11() real ext-real positive non negative set
(((s |^ 3) + (n |^ 3)) + (n |^ 3)) + ((((((s * (n ^2)) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) * ((s + n) + n) is V11() real ext-real set
s * (s ^2) is V11() real ext-real set
(s * (s ^2)) + (s * (n ^2)) is V11() real ext-real set
((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2)) is V11() real ext-real set
(((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
n * (n ^2) is V11() real ext-real set
((((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
(((((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
(((((((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
n * (n ^2) is V11() real ext-real set
((((((((s * (s ^2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
s |^ 2 is V11() real ext-real set
s * (s |^ 2) is V11() real ext-real set
(s * (s |^ 2)) + (s * (n ^2)) is V11() real ext-real set
((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2)) is V11() real ext-real set
(((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
((((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
(((((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
(((((((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((((s * (s |^ 2)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (2 + 1) is V11() real ext-real set
(s |^ (2 + 1)) + (s * (n ^2)) is V11() real ext-real set
((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2)) is V11() real ext-real set
(((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
((((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
(((((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
(((((((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((((s |^ (2 + 1)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
(s |^ 3) + (s * (n ^2)) is V11() real ext-real set
((s |^ 3) + (s * (n ^2))) + (s * (n ^2)) is V11() real ext-real set
(((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
n * (n |^ 2) is V11() real ext-real set
((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n |^ 2)) is V11() real ext-real set
(((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n |^ 2))) + (n * (n ^2)) is V11() real ext-real set
((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n |^ 2))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
(((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n |^ 2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n |^ 2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
n |^ (2 + 1) is V11() real ext-real set
((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ (2 + 1)) is V11() real ext-real set
(((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ (2 + 1))) + (n * (n ^2)) is V11() real ext-real set
((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ (2 + 1))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
(((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ (2 + 1))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
((((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ (2 + 1))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n ^2)) is V11() real ext-real set
((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ 3) is V11() real ext-real set
(((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ 3)) + (n * (n ^2)) is V11() real ext-real set
((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ 3)) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
(((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ 3)) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
n * (n |^ 2) is V11() real ext-real set
((((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ 3)) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (n |^ 2)) is V11() real ext-real set
n |^ (2 + 1) is V11() real ext-real set
((((((((s |^ 3) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n |^ 3)) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n |^ (2 + 1)) is V11() real ext-real set
(((s |^ 3) + (n |^ 3)) + (n |^ 3)) + (s * (n ^2)) is V11() real ext-real set
((((s |^ 3) + (n |^ 3)) + (n |^ 3)) + (s * (n ^2))) + (s * (n ^2)) is V11() real ext-real set
(((((s |^ 3) + (n |^ 3)) + (n |^ 3)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
((((((s |^ 3) + (n |^ 3)) + (n |^ 3)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
(((((((s |^ 3) + (n |^ 3)) + (n |^ 3)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (s ^2)) is V11() real ext-real set
((((((((s |^ 3) + (n |^ 3)) + (n |^ 3)) + (s * (n ^2))) + (s * (n ^2))) + (n * (s ^2))) + (n * (n ^2))) + (n * (s ^2))) + (n * (n ^2)) is V11() real ext-real set
((s + n) + n) * (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real set
(((s + n) + n) * (((s ^2) + (n ^2)) + (n ^2))) / (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real Element of COMPLEX
(((s ^2) + (n ^2)) + (n ^2)) / (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real Element of COMPLEX
((s + n) + n) / ((((s ^2) + (n ^2)) + (n ^2)) / (((s ^2) + (n ^2)) + (n ^2))) is V11() real ext-real Element of COMPLEX
((s + n) + n) / 1 is V1() V11() real ext-real positive non negative Element of COMPLEX
s 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 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 V1() V11() real ext-real positive non negative set
(s ^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) + (s * n)) + (n ^2) is V11() real ext-real set
(((s ^2) + (s * n)) + (n ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
(s + n) + n is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
(n ^2) + (n * 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
((n ^2) + (n * n)) + (n ^2) is V11() real ext-real set
(((n ^2) + (n * n)) + (n ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3) is V11() real ext-real set
(sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + (sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3)) is V11() real ext-real set
n * s is V1() V11() real ext-real positive non negative set
(n ^2) + (n * s) is V11() real ext-real set
((n ^2) + (n * s)) + (s ^2) is V11() real ext-real set
(((n ^2) + (n * s)) + (s ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((n ^2) + (n * s)) + (s ^2)) / 3) is V11() real ext-real set
((sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + (sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3))) + (sqrt ((((n ^2) + (n * s)) + (s ^2)) / 3)) is V11() real ext-real set
n + s is V1() V11() real ext-real positive non negative set
((1 / 2) * (sqrt 3)) * (n + s) is V11() real ext-real set
sqrt (((n ^2) + (n * s)) + (s ^2)) is V11() real ext-real set
n + n is V1() V11() real ext-real positive non negative set
((1 / 2) * (sqrt 3)) * (n + n) is V11() real ext-real set
sqrt (((n ^2) + (n * n)) + (n ^2)) is V11() real ext-real set
((1 / 2) * (sqrt 3)) * (s + n) is V11() real ext-real set
sqrt (((s ^2) + (s * n)) + (n ^2)) is V11() real ext-real set
(((1 / 2) * (sqrt 3)) * (s + n)) + (((1 / 2) * (sqrt 3)) * (n + n)) is V11() real ext-real set
(sqrt (((s ^2) + (s * n)) + (n ^2))) + (sqrt (((n ^2) + (n * n)) + (n ^2))) is V11() real ext-real set
((((1 / 2) * (sqrt 3)) * (s + n)) + (((1 / 2) * (sqrt 3)) * (n + n))) + (((1 / 2) * (sqrt 3)) * (n + s)) is V11() real ext-real set
((sqrt (((s ^2) + (s * n)) + (n ^2))) + (sqrt (((n ^2) + (n * n)) + (n ^2)))) + (sqrt (((n ^2) + (n * s)) + (s ^2))) is V11() real ext-real set
((s + n) + n) * (sqrt 3) is V11() real ext-real set
(((s + n) + n) * (sqrt 3)) / (sqrt 3) is V11() real ext-real Element of COMPLEX
(((sqrt (((s ^2) + (s * n)) + (n ^2))) + (sqrt (((n ^2) + (n * n)) + (n ^2)))) + (sqrt (((n ^2) + (n * s)) + (s ^2)))) / (sqrt 3) is V11() real ext-real Element of COMPLEX
(sqrt 3) / (sqrt 3) is V11() real ext-real Element of COMPLEX
((s + n) + n) * ((sqrt 3) / (sqrt 3)) is V11() real ext-real set
((s + n) + n) * 1 is V1() V11() real ext-real positive non negative set
((sqrt (((s ^2) + (s * n)) + (n ^2))) + (sqrt (((n ^2) + (n * n)) + (n ^2)))) / (sqrt 3) is V11() real ext-real Element of COMPLEX
(sqrt (((n ^2) + (n * s)) + (s ^2))) / (sqrt 3) is V11() real ext-real Element of COMPLEX
(((sqrt (((s ^2) + (s * n)) + (n ^2))) + (sqrt (((n ^2) + (n * n)) + (n ^2)))) / (sqrt 3)) + ((sqrt (((n ^2) + (n * s)) + (s ^2))) / (sqrt 3)) is V11() real ext-real Element of COMPLEX
(sqrt (((s ^2) + (s * n)) + (n ^2))) / (sqrt 3) is V11() real ext-real Element of COMPLEX
(sqrt (((n ^2) + (n * n)) + (n ^2))) / (sqrt 3) is V11() real ext-real Element of COMPLEX
((sqrt (((s ^2) + (s * n)) + (n ^2))) / (sqrt 3)) + ((sqrt (((n ^2) + (n * n)) + (n ^2))) / (sqrt 3)) is V11() real ext-real Element of COMPLEX
(((sqrt (((s ^2) + (s * n)) + (n ^2))) / (sqrt 3)) + ((sqrt (((n ^2) + (n * n)) + (n ^2))) / (sqrt 3))) + ((sqrt (((n ^2) + (n * s)) + (s ^2))) / (sqrt 3)) is V11() real ext-real Element of COMPLEX
(sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + ((sqrt (((n ^2) + (n * n)) + (n ^2))) / (sqrt 3)) is V11() real ext-real set
((sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + ((sqrt (((n ^2) + (n * n)) + (n ^2))) / (sqrt 3))) + ((sqrt (((n ^2) + (n * s)) + (s ^2))) / (sqrt 3)) is V11() real ext-real set
((sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + (sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3))) + ((sqrt (((n ^2) + (n * s)) + (s ^2))) / (sqrt 3)) is V11() real ext-real set
s 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 is V1() V11() real ext-real positive non negative set
s * n is V1() V11() real ext-real positive non negative set
(s ^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) + (s * n)) + (n ^2) is V11() real ext-real set
(((s ^2) + (s * n)) + (n ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3) is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 2) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
(n ^2) + (n * 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
((n ^2) + (n * n)) + (n ^2) is V11() real ext-real set
(((n ^2) + (n * n)) + (n ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3) is V11() real ext-real set
(sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + (sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3)) is V11() real ext-real set
n * s is V1() V11() real ext-real positive non negative set
(n ^2) + (n * s) is V11() real ext-real set
((n ^2) + (n * s)) + (s ^2) is V11() real ext-real set
(((n ^2) + (n * s)) + (s ^2)) / 3 is V11() real ext-real Element of COMPLEX
sqrt ((((n ^2) + (n * s)) + (s ^2)) / 3) is V11() real ext-real set
((sqrt ((((s ^2) + (s * n)) + (n ^2)) / 3)) + (sqrt ((((n ^2) + (n * n)) + (n ^2)) / 3))) + (sqrt ((((n ^2) + (n * s)) + (s ^2)) / 3)) is V11() real ext-real set
(n ^2) + (n ^2) is V11() real ext-real set
((n ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((n ^2) + (n ^2)) / 2) is V11() real ext-real set
(sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^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
sqrt (((n ^2) + (s ^2)) / 2) is V11() real ext-real set
((sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^2)) / 2))) + (sqrt (((n ^2) + (s ^2)) / 2)) is V11() real ext-real set
s 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 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 ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((s ^2) + (n ^2)) / 2) 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
(n ^2) + (n ^2) is V11() real ext-real set
((n ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
sqrt (((n ^2) + (n ^2)) / 2) is V11() real ext-real set
(sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^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
sqrt (((n ^2) + (s ^2)) / 2) is V11() real ext-real set
((sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^2)) / 2))) + (sqrt (((n ^2) + (s ^2)) / 2)) is V11() real ext-real set
((s ^2) + (n ^2)) + (n ^2) is V11() real ext-real set
3 * (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real set
sqrt (3 * (((s ^2) + (n ^2)) + (n ^2))) is V11() real ext-real set
(sqrt (((s ^2) + (n ^2)) / 2)) ^2 is V11() real ext-real set
(sqrt (((s ^2) + (n ^2)) / 2)) * (sqrt (((s ^2) + (n ^2)) / 2)) is V11() real ext-real set
(sqrt (((n ^2) + (n ^2)) / 2)) ^2 is V11() real ext-real set
(sqrt (((n ^2) + (n ^2)) / 2)) * (sqrt (((n ^2) + (n ^2)) / 2)) is V11() real ext-real set
(((sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^2)) / 2))) + (sqrt (((n ^2) + (s ^2)) / 2))) ^2 is V11() real ext-real set
(((sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^2)) / 2))) + (sqrt (((n ^2) + (s ^2)) / 2))) * (((sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^2)) / 2))) + (sqrt (((n ^2) + (s ^2)) / 2))) is V11() real ext-real set
(sqrt (((n ^2) + (s ^2)) / 2)) ^2 is V11() real ext-real set
(sqrt (((n ^2) + (s ^2)) / 2)) * (sqrt (((n ^2) + (s ^2)) / 2)) is V11() real ext-real set
1 * (sqrt (((s ^2) + (n ^2)) / 2)) is V11() real ext-real set
1 * (sqrt (((n ^2) + (n ^2)) / 2)) is V11() real ext-real set
(1 * (sqrt (((s ^2) + (n ^2)) / 2))) + (1 * (sqrt (((n ^2) + (n ^2)) / 2))) is V11() real ext-real set
1 * (sqrt (((n ^2) + (s ^2)) / 2)) is V11() real ext-real set
((1 * (sqrt (((s ^2) + (n ^2)) / 2))) + (1 * (sqrt (((n ^2) + (n ^2)) / 2)))) + (1 * (sqrt (((n ^2) + (s ^2)) / 2))) is V11() real ext-real set
(((1 * (sqrt (((s ^2) + (n ^2)) / 2))) + (1 * (sqrt (((n ^2) + (n ^2)) / 2)))) + (1 * (sqrt (((n ^2) + (s ^2)) / 2)))) ^2 is V11() real ext-real set
(((1 * (sqrt (((s ^2) + (n ^2)) / 2))) + (1 * (sqrt (((n ^2) + (n ^2)) / 2)))) + (1 * (sqrt (((n ^2) + (s ^2)) / 2)))) * (((1 * (sqrt (((s ^2) + (n ^2)) / 2))) + (1 * (sqrt (((n ^2) + (n ^2)) / 2)))) + (1 * (sqrt (((n ^2) + (s ^2)) / 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 ^2) + (1 ^2) is V11() real ext-real set
((1 ^2) + (1 ^2)) + (1 ^2) is V11() real ext-real set
((sqrt (((s ^2) + (n ^2)) / 2)) ^2) + ((sqrt (((n ^2) + (n ^2)) / 2)) ^2) is V11() real ext-real set
(((sqrt (((s ^2) + (n ^2)) / 2)) ^2) + ((sqrt (((n ^2) + (n ^2)) / 2)) ^2)) + ((sqrt (((n ^2) + (s ^2)) / 2)) ^2) is V11() real ext-real set
(((1 ^2) + (1 ^2)) + (1 ^2)) * ((((sqrt (((s ^2) + (n ^2)) / 2)) ^2) + ((sqrt (((n ^2) + (n ^2)) / 2)) ^2)) + ((sqrt (((n ^2) + (s ^2)) / 2)) ^2)) is V11() real ext-real set
sqrt ((((sqrt (((s ^2) + (n ^2)) / 2)) + (sqrt (((n ^2) + (n ^2)) / 2))) + (sqrt (((n ^2) + (s ^2)) / 2))) ^2) is V11() real ext-real set
s 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 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 ^2) + (n ^2) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative 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 ^2) + (n ^2)) + (n ^2) is V11() real ext-real set
3 * (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real set
sqrt (3 * (((s ^2) + (n ^2)) + (n ^2))) is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
(n * 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
(n * s) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
((n * n) / s) + ((n * s) / 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 Element of COMPLEX
(((n * n) / s) + ((n * s) / n)) + ((s * n) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * (n ^2) is V11() real ext-real set
((n * n) / s) ^2 is V11() real ext-real Element of COMPLEX
((n * n) / s) * ((n * n) / s) is V1() V11() real ext-real positive non negative set
((n * s) / n) ^2 is V11() real ext-real Element of COMPLEX
((n * s) / n) * ((n * s) / n) is V1() V11() real ext-real positive non negative set
(((n * n) / s) ^2) + (((n * s) / n) ^2) is V11() real ext-real Element of COMPLEX
2 * (s ^2) is V11() real ext-real set
((s * n) / n) ^2 is V11() real ext-real Element of COMPLEX
((s * n) / n) * ((s * n) / n) is V1() V11() real ext-real positive non negative set
(((n * s) / n) ^2) + (((s * n) / n) ^2) is V11() real ext-real Element of COMPLEX
2 * (n ^2) is V11() real ext-real set
(((n * n) / s) ^2) + (((s * n) / n) ^2) is V11() real ext-real Element of COMPLEX
(2 * (s ^2)) + (2 * (n ^2)) is V11() real ext-real set
((((n * s) / n) ^2) + (((s * n) / n) ^2)) + ((((n * n) / s) ^2) + (((s * n) / n) ^2)) is V11() real ext-real Element of COMPLEX
((2 * (s ^2)) + (2 * (n ^2))) + (2 * (n ^2)) is V11() real ext-real set
((((n * s) / n) ^2) + (((s * n) / n) ^2)) + (((n * n) / s) ^2) is V11() real ext-real Element of COMPLEX
(((((n * s) / n) ^2) + (((s * n) / n) ^2)) + (((n * n) / s) ^2)) + (((s * n) / n) ^2) is V11() real ext-real Element of COMPLEX
((((((n * s) / n) ^2) + (((s * n) / n) ^2)) + (((n * n) / s) ^2)) + (((s * n) / n) ^2)) + ((((n * n) / s) ^2) + (((n * s) / n) ^2)) is V11() real ext-real Element of COMPLEX
(((s ^2) + (n ^2)) + (n ^2)) * 2 is V11() real ext-real set
((((s ^2) + (n ^2)) + (n ^2)) * 2) / 2 is V11() real ext-real Element of COMPLEX
(((((n * s) / n) ^2) + (((s * n) / n) ^2)) + (((n * n) / s) ^2)) * 2 is V11() real ext-real set
((((((n * s) / n) ^2) + (((s * n) / n) ^2)) + (((n * n) / s) ^2)) * 2) / 2 is V11() real ext-real Element of COMPLEX
2 * (((s ^2) + (n ^2)) + (n ^2)) is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) + (2 * (((s ^2) + (n ^2)) + (n ^2))) is V11() real ext-real set
(((((n * s) / n) ^2) + (((s * n) / n) ^2)) + (((n * n) / s) ^2)) + (2 * (((s ^2) + (n ^2)) + (n ^2))) is V11() real ext-real set
((((n * n) / s) + ((n * s) / n)) + ((s * n) / n)) ^2 is V11() real ext-real Element of COMPLEX
((((n * n) / s) + ((n * s) / n)) + ((s * n) / n)) * ((((n * n) / s) + ((n * s) / n)) + ((s * n) / n)) is V1() V11() real ext-real positive non negative set
sqrt (((((n * n) / s) + ((n * s) / n)) + ((s * n) / n)) ^2) is V11() real ext-real set
s 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
1 / (s ^2) is V11() real ext-real Element of COMPLEX
(1 / (s ^2)) - 1 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
n ^2 is V11() real ext-real set
n * n is V1() V11() real ext-real positive non negative set
1 / (n ^2) is V11() real ext-real Element of COMPLEX
(1 / (n ^2)) - 1 is V11() real ext-real set
((1 / (s ^2)) - 1) * ((1 / (n ^2)) - 1) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) ^2 is V11() real ext-real set
(2 * (sqrt (s * n))) * (2 * (sqrt (s * n))) 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
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
(2 * 2) * ((sqrt (s * n)) ^2) is V11() real ext-real set
4 * (s * n) is V1() V11() real ext-real positive non negative set
8 / 1 is V1() V11() real ext-real positive non negative Element of COMPLEX
4 * s is V1() V11() real ext-real positive non negative set
(4 * s) * n is V1() V11() real ext-real positive non negative set
8 / ((4 * s) * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
8 / (4 * (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
8 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
(8 / 4) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
8 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(2 / (s * n)) + 1 is V1() V11() real ext-real positive non negative set
1 * (s ^2) is V11() real ext-real set
1 - (1 * (s ^2)) is V11() real ext-real set
(1 - (1 * (s ^2))) / (s ^2) is V11() real ext-real Element of COMPLEX
((1 - (1 * (s ^2))) / (s ^2)) * ((1 / (n ^2)) - 1) is V11() real ext-real set
1 * (n ^2) is V11() real ext-real set
1 - (1 * (n ^2)) is V11() real ext-real set
(1 - (1 * (n ^2))) / (n ^2) is V11() real ext-real Element of COMPLEX
((1 - (1 * (s ^2))) / (s ^2)) * ((1 - (1 * (n ^2))) / (n ^2)) is V11() real ext-real Element of COMPLEX
1 - s is V11() real ext-real set
1 + s is V1() V11() real ext-real positive non negative set
(1 - s) * (1 + s) is V11() real ext-real set
1 - n is V11() real ext-real set
1 + n is V1() V11() real ext-real positive non negative set
(1 - n) * (1 + n) is V11() real ext-real set
((1 - s) * (1 + s)) * ((1 - n) * (1 + n)) is V11() real ext-real set
(s ^2) * (n ^2) is V11() real ext-real set
(((1 - s) * (1 + s)) * ((1 - n) * (1 + n))) / ((s ^2) * (n ^2)) is V11() real ext-real Element of COMPLEX
(1 + s) * (1 + n) is V1() V11() real ext-real positive non negative set
(s * n) * ((1 + s) * (1 + n)) is V1() V11() real ext-real positive non negative set
(s * n) * (s * n) is V1() V11() real ext-real positive non negative set
((s * n) * ((1 + s) * (1 + n))) / ((s * n) * (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(s * n) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 + s) * (1 + n)) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) / (s * n)) * (((1 + s) * (1 + n)) / (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 * (((1 + s) * (1 + n)) / (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
(1 + (s + n)) + (s * n) is V1() V11() real ext-real positive non negative set
((1 + (s + n)) + (s * n)) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(2 / (s * n)) + ((s * n) / (s * n)) is V1() V11() real ext-real positive non negative Element of COMPLEX
17 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
17 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
s is V1() V11() real ext-real positive non negative set
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 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) + (1 / (s * n)) is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) ^2 is V11() real ext-real set
(2 * (sqrt (s * n))) * (2 * (sqrt (s * n))) 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
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(sqrt (s * n)) ^2 is V11() real ext-real set
(sqrt (s * n)) * (sqrt (s * n)) is V11() real ext-real set
(2 * 2) * ((sqrt (s * n)) ^2) is V11() real ext-real set
4 * (s * n) is V1() V11() real ext-real positive non negative set
(s * n) * 4 is V1() V11() real ext-real positive non negative set
((s * n) * 4) / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
1 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
- 1 is V1() V11() real ext-real non positive negative set
(1 / 4) * (- 1) is V1() V11() real ext-real non positive negative set
(s * n) * (- 1) is V1() V11() real ext-real non positive negative set
- (1 / 4) is V1() V11() real ext-real non positive negative Element of COMPLEX
(- (1 / 4)) + 1 is V11() real ext-real set
- (s * n) is V1() V11() real ext-real non positive negative set
(- (s * n)) + 1 is V11() real ext-real set
3 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
(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 - (s * n) is V11() real ext-real set
(1 - (s * n)) ^2 is V11() real ext-real set
(1 - (s * n)) * (1 - (s * n)) is V11() real ext-real set
4 ^2 is V11() real ext-real Element of REAL
4 * 4 is V1() ordinal natural V11() real ext-real positive non negative set
9 / (4 ^2) is V11() real ext-real Element of COMPLEX
(9 / (4 ^2)) / (1 / 4) is V11() real ext-real Element of COMPLEX
((1 - (s * n)) ^2) / (1 / 4) is V11() real ext-real Element of COMPLEX
9 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
8 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
(9 / 4) + (8 / 4) is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 - (s * n)) ^2) * 4 is V11() real ext-real set
(((1 - (s * n)) ^2) * 4) + 2 is V11() real ext-real set
((1 - (s * n)) ^2) / (s * n) is V11() real ext-real Element of COMPLEX
(((1 - (s * n)) ^2) / (s * n)) + 2 is V11() real ext-real set
(1 / (s * n)) + (s * n) is V1() V11() real ext-real positive non negative set
(s * n) * (s * n) is V1() V11() real ext-real positive non negative set
1 + ((s * n) * (s * n)) is V1() V11() real ext-real positive non negative set
(1 + ((s * n) * (s * n))) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) * (s * n) is V1() V11() real ext-real positive non negative set
(1 ^2) - ((2 * 1) * (s * n)) is V11() real ext-real set
(s * n) ^2 is V11() real ext-real set
((1 ^2) - ((2 * 1) * (s * n))) + ((s * n) ^2) is V11() real ext-real set
2 * (s * n) is V1() V11() real ext-real positive non negative set
(((1 ^2) - ((2 * 1) * (s * n))) + ((s * n) ^2)) + (2 * (s * n)) is V11() real ext-real set
((((1 ^2) - ((2 * 1) * (s * n))) + ((s * n) ^2)) + (2 * (s * n))) / (s * n) is V11() real ext-real Element of COMPLEX
(2 * (s * n)) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((1 - (s * n)) ^2) / (s * n)) + ((2 * (s * n)) / (s * n)) is V11() real ext-real Element of COMPLEX
(s * n) / (s * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 * ((s * n) / (s * n)) is V1() V11() real ext-real positive non negative set
(((1 - (s * n)) ^2) / (s * n)) + (2 * ((s * n) / (s * n))) is V11() real ext-real set
(((1 - (s * n)) ^2) / (s * n)) + (2 * 1) is V11() real ext-real set
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
n is V1() V11() real ext-real positive non negative set
s + 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
(1 / s) + (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
(s + n) + 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
((1 / s) + (1 / n)) + (1 / 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) * n is V1() V11() real ext-real positive non negative set
3 -root ((s * n) * 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)) * (1 / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 -root (((1 / s) * (1 / n)) * (1 / n)) is V11() real ext-real set
3 * (3 -root (((1 / s) * (1 / n)) * (1 / n))) is V11() real ext-real set
1 / ((s * n) * n) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 -root (1 / ((s * n) * n)) is V11() real ext-real set
3 * (3 -root (1 / ((s * n) * n))) is V11() real ext-real set
3 * (3 -root ((s * n) * n)) is V11() real ext-real set
(3 * (3 -root ((s * n) * n))) * (3 * (3 -root (1 / ((s * n) * n)))) is V11() real ext-real set
((s + n) + n) * (((1 / s) + (1 / n)) + (1 / n)) is V1() V11() real ext-real positive non negative set
(3 -root ((s * n) * n)) * (3 -root (1 / ((s * n) * n))) is V11() real ext-real set
9 * ((3 -root ((s * n) * n)) * (3 -root (1 / ((s * n) * n)))) is V11() real ext-real set
((s * n) * n) * (1 / ((s * n) * n)) is V1() V11() real ext-real positive non negative set
3 -root (((s * n) * n) * (1 / ((s * n) * n))) is V11() real ext-real set
9 * (3 -root (((s * n) * n) * (1 / ((s * n) * n)))) is V11() real ext-real set
((s * n) * n) / 1 is V1() V11() real ext-real positive non negative Element of COMPLEX
((s * n) * n) / (((s * n) * n) / 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
3 -root (((s * n) * n) / (((s * n) * n) / 1)) is V11() real ext-real set
9 * (3 -root (((s * n) * n) / (((s * n) * n) / 1))) is V11() real ext-real set
3 -root 1 is V11() real ext-real Element of REAL
9 * (3 -root 1) is V11() real ext-real set
9 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
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
(1 / s) - 1 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
1 / n is V1() V11() real ext-real positive non negative Element of COMPLEX
(1 / n) - 1 is V11() real ext-real set
((1 / s) - 1) * ((1 / n) - 1) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
(s + n) + 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
(1 / n) - 1 is V11() real ext-real set
(((1 / s) - 1) * ((1 / n) - 1)) * ((1 / n) - 1) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) / n is V11() real ext-real Element of COMPLEX
s + n is V1() V11() real ext-real positive non negative set
(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 set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) / n is V11() real ext-real Element of COMPLEX
(s + 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 is V1() V11() real ext-real positive non negative Element of COMPLEX
((n + n) / s) * ((1 / n) - 1) is V11() real ext-real set
(((n + n) / s) * ((1 / n) - 1)) * ((1 / n) - 1) is V11() real ext-real set
((n + n) / s) * ((s + n) / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((n + n) / s) * ((s + n) / n)) * ((1 / n) - 1) is V11() real ext-real set
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
((s + n) / n) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
(((s + n) / n) + (n / n)) - 1 is V11() real ext-real set
(((n + n) / s) * ((s + n) / n)) * ((((s + n) / n) + (n / n)) - 1) is V11() real ext-real set
((s + n) / n) + 1 is V1() V11() real ext-real positive non negative set
(((s + n) / n) + 1) - 1 is V11() real ext-real set
(((n + n) / s) * ((s + n) / n)) * ((((s + n) / n) + 1) - 1) is V11() real ext-real set
(((n + n) / s) * ((s + n) / n)) * ((s + 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
sqrt (n * n) is V11() real ext-real set
2 * (sqrt (n * n)) is V11() real ext-real set
(2 * (sqrt (n * n))) / s is V11() real ext-real Element of COMPLEX
((2 * (sqrt (n * n))) / s) * ((2 * (sqrt (s * n))) / n) is V11() real ext-real Element of COMPLEX
(((2 * (sqrt (n * n))) / s) * ((2 * (sqrt (s * n))) / n)) * ((2 * (sqrt (s * n))) / n) is V11() real ext-real Element of COMPLEX
64 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
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
1 + (1 / s) is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
s + 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
1 + (1 / n) is V1() V11() real ext-real positive non negative set
(1 + (1 / s)) * (1 + (1 / n)) is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
(s + n) + 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
1 + (1 / n) is V1() V11() real ext-real positive non negative set
((1 + (1 / s)) * (1 + (1 / n))) * (1 + (1 / n)) is V1() V11() real ext-real positive non negative set
n * n is V1() V11() real ext-real positive non negative set
sqrt (n * n) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) / n is V11() real ext-real Element of COMPLEX
(s + n) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
2 + ((2 * (sqrt (s * n))) / n) is V11() real ext-real set
2 + ((s + n) / n) is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
2 * ((sqrt (s * n)) / n) is V11() real ext-real set
2 + (2 * ((sqrt (s * n)) / n)) is V11() real ext-real set
s * n is V1() V11() real ext-real positive non negative set
sqrt (s * n) is V11() real ext-real set
2 * (sqrt (s * n)) is V11() real ext-real set
(2 * (sqrt (s * n))) / n is V11() real ext-real Element of COMPLEX
s + n is V1() V11() real ext-real positive non negative set
(s + n) / n is V1() V11() real ext-real positive non negative Element of COMPLEX
2 + ((2 * (sqrt (s * n))) / n) is V11() real ext-real set
2 + ((s + n) / n) is V1() V11() real ext-real positive non negative set
(sqrt (s * n)) / n is V11() real ext-real Element of COMPLEX
2 * ((sqrt (s * n)) / n) is V11() real ext-real set
2 + (2 * ((sqrt (s * n)) / n)) is V11() real ext-real set
2 * (sqrt (n * n)) is V11() real ext-real set
(2 * (sqrt (n * n))) / s is V11() real ext-real Element of COMPLEX
n + n is V1() V11() real ext-real positive non negative set
(n + n) / s is V1() V11() real ext-real positive non negative Element of COMPLEX
2 + ((2 * (sqrt (n * n))) / s) is V11() real ext-real set
2 + ((n + n) / s) is V1() V11() real ext-real positive non negative set
(sqrt (n * n)) / s is V11() real ext-real Element of COMPLEX
2 * ((sqrt (n * n)) / s) is V11() real ext-real set
2 + (2 * ((sqrt (n * n)) / s)) is V11() real ext-real set
1 + ((sqrt (n * n)) / s) is V11() real ext-real set
2 * (1 + ((sqrt (n * n)) / s)) is V11() real ext-real set
1 + ((sqrt (s * n)) / n) is V11() real ext-real set
2 * (1 + ((sqrt (s * n)) / n)) is V11() real ext-real set
(2 * (1 + ((sqrt (n * n)) / s))) * (2 * (1 + ((sqrt (s * n)) / n))) is V11() real ext-real set
(2 + ((n + n) / s)) * (2 + ((s + n) / n)) is V1() V11() real ext-real positive non negative set
1 + ((sqrt (s * n)) / n) is V11() real ext-real set
2 * (1 + ((sqrt (s * n)) / n)) is V11() real ext-real set
((2 * (1 + ((sqrt (n * n)) / s))) * (2 * (1 + ((sqrt (s * n)) / n)))) * (2 * (1 + ((sqrt (s * n)) / n))) is V11() real ext-real set
((2 + ((n + n) / s)) * (2 + ((s + n) / n))) * (2 + ((s + n) / n)) is V1() V11() real ext-real positive non negative set
n / (sqrt (s * n)) is V11() real ext-real Element of COMPLEX
((sqrt (s * n)) / n) + (n / (sqrt (s * n))) is V11() real ext-real Element of COMPLEX
(((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n) is V11() real ext-real Element of COMPLEX
n * s is V1() V11() real ext-real positive non negative set
sqrt (n * s) is V11() real ext-real set
n / (sqrt (n * s)) is V11() real ext-real Element of COMPLEX
((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s))) is V11() real ext-real Element of COMPLEX
s / (sqrt (n * n)) is V11() real ext-real Element of COMPLEX
(((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n))) is V11() real ext-real Element of COMPLEX
((((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n)))) + ((sqrt (n * n)) / s) is V11() real ext-real Element of COMPLEX
6 + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 + (((((((sqrt (s * n)) / n) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n)))) + ((sqrt (n * n)) / s)) is V11() real ext-real set
8 * 8 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 + ((sqrt (s * n)) / n) is V11() real ext-real set
(2 + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n))) is V11() real ext-real set
((2 + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n) is V11() real ext-real set
(((2 + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s))) is V11() real ext-real set
((((2 + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n))) is V11() real ext-real set
(((((2 + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n)))) + ((sqrt (n * n)) / s) is V11() real ext-real set
8 * ((((((2 + ((sqrt (s * n)) / n)) + (n / (sqrt (s * n)))) + ((sqrt (s * n)) / n)) + (n / (sqrt (n * s)))) + (s / (sqrt (n * n)))) + ((sqrt (n * n)) / s)) is V11() real ext-real set
(2 + ((n + n) / s)) * (1 + (1 / n)) is V1() V11() real ext-real positive non negative set
((2 + ((n + n) / s)) * (1 + (1 / n))) * (1 + (1 / n)) is V1() V11() real ext-real positive non negative set
((2 + ((n + n) / s)) * (2 + ((s + n) / n))) * (1 + (1 / n)) is V1() V11() real ext-real positive non negative set
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
((s + n) / n) + (n / n) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + (((s + n) / n) + (n / n)) is V1() V11() real ext-real positive non negative set
((2 + ((n + n) / s)) * (2 + ((s + n) / n))) * (1 + (((s + n) / n) + (n / n))) is V1() V11() real ext-real positive non negative set
1 + ((s + n) / n) is V1() V11() real ext-real positive non negative set
(1 + ((s + n) / n)) + 1 is V1() V11() real ext-real positive non negative set
((2 + ((n + n) / s)) * (2 + ((s + n) / n))) * ((1 + ((s + n) / n)) + 1) is V1() V11() real ext-real positive non negative set
(1 + ((sqrt (n * n)) / s)) * (1 + ((sqrt (s * n)) / n)) is V11() real ext-real set
((1 + ((sqrt (n * n)) / s)) * (1 + ((sqrt (s * n)) / n))) * (1 + ((sqrt (s * n)) / n)) is V11() real ext-real set
8 * (((1 + ((sqrt (n * n)) / s)) * (1 + ((sqrt (s * n)) / n))) * (1 + ((sqrt (s * n)) / n))) is V11() real ext-real set
1 / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
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
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) + (n ^2) is V11() real ext-real set
n is V11() real ext-real set
(s + n) + 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) + (n ^2)) + (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
((n ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
s * n is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
s * n is V11() real ext-real set
((s ^2) + (n ^2)) / 2 is V11() real ext-real Element of COMPLEX
(n * n) + (s * n) is V11() real ext-real set
(((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2) is V11() real ext-real Element of COMPLEX
((n * n) + (s * n)) + (s * n) is V11() real ext-real set
((((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2)) + (((s ^2) + (n ^2)) / 2) is V11() real ext-real Element of COMPLEX
- (((((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2)) + (((s ^2) + (n ^2)) / 2)) is V11() real ext-real Element of COMPLEX
- (((n * n) + (s * n)) + (s * n)) is V11() real ext-real set
(- (((((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2)) + (((s ^2) + (n ^2)) / 2))) * 2 is V11() real ext-real set
(- (((n * n) + (s * n)) + (s * n))) * 2 is V11() real ext-real set
(((((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2)) + (((s ^2) + (n ^2)) / 2)) * 2 is V11() real ext-real set
- ((((((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2)) + (((s ^2) + (n ^2)) / 2)) * 2) is V11() real ext-real set
(- ((((((s ^2) + (n ^2)) / 2) + (((n ^2) + (n ^2)) / 2)) + (((s ^2) + (n ^2)) / 2)) * 2)) + 1 is V11() real ext-real set
(((n * n) + (s * n)) + (s * n)) * 2 is V11() real ext-real set
- ((((n * n) + (s * n)) + (s * n)) * 2) is V11() real ext-real set
(- ((((n * n) + (s * n)) + (s * n)) * 2)) + 1 is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) * 2 is V11() real ext-real set
1 - ((((s ^2) + (n ^2)) + (n ^2)) * 2) is V11() real ext-real set
1 - ((((n * n) + (s * n)) + (s * n)) * 2) is V11() real ext-real set
2 * s is V11() real ext-real set
(2 * s) * n is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * n is V11() real ext-real set
((((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n)) + ((2 * n) * n) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * s is V11() real ext-real set
(((((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n)) + ((2 * n) * n)) + ((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
(((s ^2) + (n ^2)) + (n ^2)) + ((((s ^2) + (n ^2)) + (n ^2)) * 2) is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) * 3 is V11() real ext-real set
((((s ^2) + (n ^2)) + (n ^2)) * 3) / 3 is V11() real ext-real Element of COMPLEX
s is V11() real ext-real set
n is V11() real ext-real set
s + n is V11() real ext-real set
s * n is V11() real ext-real set
n is V11() real ext-real set
(s + n) + n is V11() real ext-real set
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 * n) + (n * n)) + (n * s) is V11() real ext-real set
s * n is V11() real ext-real set
((s * n) + (n * n)) + (s * 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 is V11() real ext-real set
n * n is V11() real ext-real set
(s ^2) + (n ^2) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is V11() real ext-real set
((s ^2) + (n ^2)) + (n ^2) is V11() real ext-real set
2 * (((s * n) + (n * n)) + (n * s)) is V11() real ext-real set
(((s * n) + (n * n)) + (s * n)) + (2 * (((s * n) + (n * n)) + (n * s))) is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) + (2 * (((s * n) + (n * n)) + (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
2 * s is V11() real ext-real set
(2 * s) * n is V11() real ext-real set
(((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * n is V11() real ext-real set
((((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n)) + ((2 * n) * n) is V11() real ext-real set
2 * n is V11() real ext-real set
(2 * n) * s is V11() real ext-real set
(((((s ^2) + (n ^2)) + (n ^2)) + ((2 * s) * n)) + ((2 * n) * n)) + ((2 * n) * s) is V11() real ext-real set
3 * (((s * n) + (n * n)) + (n * s)) is V11() real ext-real set
(3 * (((s * n) + (n * n)) + (n * s))) / 3 is V11() real ext-real Element of COMPLEX
s is V1() V11() real ext-real positive non negative set
2 * s is V1() V11() real ext-real positive non negative set
s to_power (2 * s) is V11() real ext-real set
n is V1() V11() real ext-real positive non negative set
2 * n is V1() V11() real ext-real positive non negative set
n to_power (2 * n) is V11() real ext-real set
(s to_power (2 * s)) * (n to_power (2 * n)) is V11() real ext-real set
s + n is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
2 * n is V1() V11() real ext-real positive non negative set
n to_power (2 * n) is V11() real ext-real set
((s to_power (2 * s)) * (n to_power (2 * n))) * (n to_power (2 * n)) is V11() real ext-real set
n + n is V1() V11() real ext-real positive non negative set
s to_power (n + n) is V11() real ext-real set
s + n is V1() V11() real ext-real positive non negative set
n to_power (s + n) is V11() real ext-real set
(s to_power (n + n)) * (n to_power (s + n)) is V11() real ext-real set
n to_power (s + n) is V11() real ext-real set
((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n)) is V11() real ext-real set
n / n is V1() V11() real ext-real positive non negative Element of COMPLEX
n + s is V1() V11() real ext-real positive non negative set
n to_power (n + s) is V11() real ext-real set
n - n is V11() real ext-real set
(n / n) to_power (n - n) is V11() real ext-real set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
s - n is V11() real ext-real set
(s / n) to_power (s - n) is V11() real ext-real set
((s / n) to_power (s - n)) * ((n / n) to_power (n - n)) is V11() real ext-real set
s / n is V1() V11() real ext-real positive non negative Element of COMPLEX
s - n is V11() real ext-real set
(s / n) to_power (s - n) is V11() real ext-real set
n - s is V11() real ext-real set
- (n - s) is V11() real ext-real set
(s / n) to_power (- (n - s)) is V11() real ext-real set
(((s / n) to_power (s - n)) * ((n / n) to_power (n - n))) * ((s / n) to_power (- (n - s))) is V11() real ext-real set
n / s is V1() V11() real ext-real positive non negative Element of COMPLEX
(n / s) to_power (n - s) is V11() real ext-real set
(((s / n) to_power (s - n)) * ((n / n) to_power (n - n))) * ((n / s) to_power (n - s)) is V11() real ext-real set
s to_power (s - n) is V11() real ext-real set
n to_power (s - n) is V11() real ext-real set
(s to_power (s - n)) / (n to_power (s - n)) is V11() real ext-real Element of COMPLEX
((s to_power (s - n)) / (n to_power (s - n))) * ((n / n) to_power (n - n)) is V11() real ext-real set
(((s to_power (s - n)) / (n to_power (s - n))) * ((n / n) to_power (n - n))) * ((n / s) to_power (n - s)) is V11() real ext-real set
n to_power (n - n) is V11() real ext-real set
n to_power (n - n) is V11() real ext-real set
(n to_power (n - n)) / (n to_power (n - n)) is V11() real ext-real Element of COMPLEX
((s to_power (s - n)) / (n to_power (s - n))) * ((n to_power (n - n)) / (n to_power (n - n))) is V11() real ext-real Element of COMPLEX
(((s to_power (s - n)) / (n to_power (s - n))) * ((n to_power (n - n)) / (n to_power (n - n)))) * ((n / s) to_power (n - s)) is V11() real ext-real set
n to_power (n - s) is V11() real ext-real set
s to_power (n - s) is V11() real ext-real set
(n to_power (n - s)) / (s to_power (n - s)) is V11() real ext-real Element of COMPLEX
(((s to_power (s - n)) / (n to_power (s - n))) * ((n to_power (n - n)) / (n to_power (n - n)))) * ((n to_power (n - s)) / (s to_power (n - s))) is V11() real ext-real Element of COMPLEX
(s to_power (s - n)) * (n to_power (n - n)) is V11() real ext-real set
(n to_power (n - n)) * (n to_power (s - n)) is V11() real ext-real set
((s to_power (s - n)) * (n to_power (n - n))) / ((n to_power (n - n)) * (n to_power (s - n))) is V11() real ext-real Element of COMPLEX
(((s to_power (s - n)) * (n to_power (n - n))) / ((n to_power (n - n)) * (n to_power (s - n)))) * ((n to_power (n - s)) / (s to_power (n - s))) is V11() real ext-real Element of COMPLEX
(s to_power (s - n)) / (n to_power (n - n)) is V11() real ext-real Element of COMPLEX
(n to_power (n - n)) / (n to_power (s - n)) is V11() real ext-real Element of COMPLEX
((s to_power (s - n)) / (n to_power (n - n))) * ((n to_power (n - n)) / (n to_power (s - n))) is V11() real ext-real Element of COMPLEX
(((s to_power (s - n)) / (n to_power (n - n))) * ((n to_power (n - n)) / (n to_power (s - n)))) * ((n to_power (n - s)) / (s to_power (n - s))) is V11() real ext-real Element of COMPLEX
(n - n) - (s - n) is V11() real ext-real set
n to_power ((n - n) - (s - n)) is V11() real ext-real set
((s to_power (s - n)) / (n to_power (n - n))) * (n to_power ((n - n) - (s - n))) is V11() real ext-real set
(((s to_power (s - n)) / (n to_power (n - n))) * (n to_power ((n - n) - (s - n)))) * ((n to_power (n - s)) / (s to_power (n - s))) is V11() real ext-real set
((s to_power (s - n)) / (n to_power (n - n))) * ((n to_power (n - s)) / (s to_power (n - s))) is V11() real ext-real Element of COMPLEX
(2 * n) - s is V11() real ext-real set
((2 * n) - s) - n is V11() real ext-real set
n to_power (((2 * n) - s) - n) is V11() real ext-real set
(((s to_power (s - n)) / (n to_power (n - n))) * ((n to_power (n - s)) / (s to_power (n - s)))) * (n to_power (((2 * n) - s) - n)) is V11() real ext-real set
(s to_power (s - n)) / (s to_power (n - s)) is V11() real ext-real Element of COMPLEX
(n to_power (n - s)) / (n to_power (n - n)) is V11() real ext-real Element of COMPLEX
((s to_power (s - n)) / (s to_power (n - s))) * ((n to_power (n - s)) / (n to_power (n - n))) is V11() real ext-real Element of COMPLEX
(((s to_power (s - n)) / (s to_power (n - s))) * ((n to_power (n - s)) / (n to_power (n - n)))) * (n to_power (((2 * n) - s) - n)) is V11() real ext-real set
(s - n) - (n - s) is V11() real ext-real set
s to_power ((s - n) - (n - s)) is V11() real ext-real set
(s to_power ((s - n) - (n - s))) * ((n to_power (n - s)) / (n to_power (n - n))) is V11() real ext-real set
((s to_power ((s - n) - (n - s))) * ((n to_power (n - s)) / (n to_power (n - n)))) * (n to_power (((2 * n) - s) - n)) is V11() real ext-real set
(2 * s) - n is V11() real ext-real set
((2 * s) - n) - n is V11() real ext-real set
s to_power (((2 * s) - n) - n) is V11() real ext-real set
(n - s) - (n - n) is V11() real ext-real set
n to_power ((n - s) - (n - n)) is V11() real ext-real set
(s to_power (((2 * s) - n) - n)) * (n to_power ((n - s) - (n - n))) is V11() real ext-real set
((s to_power (((2 * s) - n) - n)) * (n to_power ((n - s) - (n - n)))) * (n to_power (((2 * n) - s) - n)) is V11() real ext-real set
(2 * s) - (n + n) is V11() real ext-real set
s to_power ((2 * s) - (n + n)) is V11() real ext-real set
(2 * n) - (s + n) is V11() real ext-real set
n to_power ((2 * n) - (s + n)) is V11() real ext-real set
(s to_power ((2 * s) - (n + n))) * (n to_power ((2 * n) - (s + n))) is V11() real ext-real set
(2 * n) - (s + n) is V11() real ext-real set
n to_power ((2 * n) - (s + n)) is V11() real ext-real set
((s to_power ((2 * s) - (n + n))) * (n to_power ((2 * n) - (s + n)))) * (n to_power ((2 * n) - (s + n))) is V11() real ext-real set
(s to_power (2 * s)) / (s to_power (n + n)) is V11() real ext-real Element of COMPLEX
((s to_power (2 * s)) / (s to_power (n + n))) * (n to_power ((2 * n) - (s + n))) is V11() real ext-real set
(((s to_power (2 * s)) / (s to_power (n + n))) * (n to_power ((2 * n) - (s + n)))) * (n to_power ((2 * n) - (s + n))) is V11() real ext-real set
(n to_power (2 * n)) / (n to_power (s + n)) is V11() real ext-real Element of COMPLEX
((s to_power (2 * s)) / (s to_power (n + n))) * ((n to_power (2 * n)) / (n to_power (s + n))) is V11() real ext-real Element of COMPLEX
(((s to_power (2 * s)) / (s to_power (n + n))) * ((n to_power (2 * n)) / (n to_power (s + n)))) * (n to_power ((2 * n) - (s + n))) is V11() real ext-real set
(s to_power (2 * s)) * (n to_power (2 * n)) is V11() real ext-real set
(s to_power (n + n)) * (n to_power (s + n)) is V11() real ext-real set
((s to_power (2 * s)) * (n to_power (2 * n))) / ((s to_power (n + n)) * (n to_power (s + n))) is V11() real ext-real Element of COMPLEX
(((s to_power (2 * s)) * (n to_power (2 * n))) / ((s to_power (n + n)) * (n to_power (s + n)))) * (n to_power ((2 * n) - (s + n))) is V11() real ext-real set
(n to_power (2 * n)) / (n to_power (s + n)) is V11() real ext-real Element of COMPLEX
(((s to_power (2 * s)) * (n to_power (2 * n))) / ((s to_power (n + n)) * (n to_power (s + n)))) * ((n to_power (2 * n)) / (n to_power (s + n))) is V11() real ext-real Element of COMPLEX
((s to_power (2 * s)) * (n to_power (2 * n))) * (n to_power (2 * n)) is V11() real ext-real set
((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n)) is V11() real ext-real set
(((s to_power (2 * s)) * (n to_power (2 * n))) * (n to_power (2 * n))) / (((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n))) is V11() real ext-real Element of COMPLEX
(((s to_power (2 * s)) * (n to_power (2 * n))) * (n to_power (2 * n))) / (((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n))) is V11() real ext-real Element of COMPLEX
((((s to_power (2 * s)) * (n to_power (2 * n))) * (n to_power (2 * n))) / (((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n)))) * (((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n))) is V11() real ext-real set
1 * (((s to_power (n + n)) * (n to_power (s + n))) * (n to_power (s + n))) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ n is V11() real ext-real set
(s |^ n) * n is V11() real ext-real set
n |^ n is V11() real ext-real set
s * (n |^ n) is V11() real ext-real set
((s |^ n) * n) + (s * (n |^ n)) is V11() real ext-real set
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (n + 1) is V11() real ext-real set
n |^ (n + 1) is V11() real ext-real set
(s |^ (n + 1)) + (n |^ (n + 1)) is V11() real ext-real set
s - n is V11() real ext-real set
(s - n) + n is V11() real ext-real set
0 + n is V1() V11() real ext-real positive non negative set
(s |^ n) - (n |^ n) is V11() real ext-real set
(s - n) * ((s |^ n) - (n |^ n)) is V11() real ext-real set
s * (s |^ n) is V11() real ext-real set
(s * (s |^ n)) - (s * (n |^ n)) is V11() real ext-real set
n * (s |^ n) is V11() real ext-real set
((s * (s |^ n)) - (s * (n |^ n))) - (n * (s |^ n)) is V11() real ext-real set
n * (n |^ n) is V11() real ext-real set
(((s * (s |^ n)) - (s * (n |^ n))) - (n * (s |^ n))) + (n * (n |^ n)) is V11() real ext-real set
(s |^ (n + 1)) - (s * (n |^ n)) is V11() real ext-real set
((s |^ (n + 1)) - (s * (n |^ n))) - (n * (s |^ n)) is V11() real ext-real set
(((s |^ (n + 1)) - (s * (n |^ n))) - (n * (s |^ n))) + (n * (n |^ n)) is V11() real ext-real set
(((s |^ (n + 1)) - (s * (n |^ n))) - (n * (s |^ n))) + (n |^ (n + 1)) is V11() real ext-real set
((s |^ (n + 1)) + (n |^ (n + 1))) - (s * (n |^ n)) is V11() real ext-real set
(((s |^ (n + 1)) + (n |^ (n + 1))) - (s * (n |^ n))) - (n * (s |^ n)) is V11() real ext-real set
(s * (n |^ n)) + (n * (s |^ n)) is V11() real ext-real set
((((s |^ (n + 1)) + (n |^ (n + 1))) - (s * (n |^ n))) - (n * (s |^ n))) + ((s * (n |^ n)) + (n * (s |^ n))) is V11() real ext-real set
0 + ((s * (n |^ n)) + (n * (s |^ n))) is V11() real ext-real set
s - n is V11() real ext-real set
(s |^ n) * s is V11() real ext-real set
(s |^ (n + 1)) + ((s |^ n) * s) is V11() real ext-real set
(s |^ (n + 1)) + (s |^ (n + 1)) is V11() real ext-real set
2 * (s |^ (n + 1)) is V11() real ext-real set
s - n is V11() real ext-real set
0 + n is V1() V11() real ext-real positive non negative set
(s - n) + n is V11() real ext-real set
(s |^ n) - (n |^ n) is V11() real ext-real set
(s - n) * ((s |^ n) - (n |^ n)) is V11() real ext-real set
s * (s |^ n) is V11() real ext-real set
(s * (s |^ n)) - (s * (n |^ n)) is V11() real ext-real set
n * (s |^ n) is V11() real ext-real set
((s * (s |^ n)) - (s * (n |^ n))) - (n * (s |^ n)) is V11() real ext-real set
n * (n |^ n) is V11() real ext-real set
(((s * (s |^ n)) - (s * (n |^ n))) - (n * (s |^ n))) + (n * (n |^ n)) is V11() real ext-real set
(s |^ (n + 1)) - (s * (n |^ n)) is V11() real ext-real set
((s |^ (n + 1)) - (s * (n |^ n))) - (n * (s |^ n)) is V11() real ext-real set
(((s |^ (n + 1)) - (s * (n |^ n))) - (n * (s |^ n))) + (n * (n |^ n)) is V11() real ext-real set
(((s |^ (n + 1)) - (s * (n |^ n))) - (n * (s |^ n))) + (n |^ (n + 1)) is V11() real ext-real set
((s |^ (n + 1)) + (n |^ (n + 1))) - (s * (n |^ n)) is V11() real ext-real set
(((s |^ (n + 1)) + (n |^ (n + 1))) - (s * (n |^ n))) - (n * (s |^ n)) is V11() real ext-real set
(s * (n |^ n)) + (n * (s |^ n)) is V11() real ext-real set
((((s |^ (n + 1)) + (n |^ (n + 1))) - (s * (n |^ n))) - (n * (s |^ n))) + ((s * (n |^ n)) + (n * (s |^ n))) is V11() real ext-real set
0 + ((s * (n |^ n)) + (n * (s |^ n))) is V11() real ext-real set
s - n is V11() real ext-real set
s 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 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 ^2) + (n ^2) 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
x is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
x + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ (x + 2) is V11() real ext-real set
s |^ (x + 2) is V11() real ext-real set
n |^ (x + 2) is V11() real ext-real set
(s |^ (x + 2)) + (n |^ (x + 2)) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
(n ^2) - (n ^2) is V11() real ext-real set
((n ^2) - (n ^2)) + (n ^2) is V11() real ext-real set
0 + (n ^2) is V11() real ext-real set
sqrt (n ^2) is V11() real ext-real set
sqrt (n ^2) is V11() real ext-real set
n |^ x is V11() real ext-real set
n |^ x is V11() real ext-real set
(n |^ x) * (n |^ 2) is V11() real ext-real set
(n |^ x) * (n |^ 2) 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 ^2) - (s ^2)) + (s ^2) is V11() real ext-real set
0 + (s ^2) is V11() real ext-real set
sqrt (s ^2) is V11() real ext-real set
s |^ x is V11() real ext-real set
(n |^ x) * (s |^ 2) is V11() real ext-real set
(s |^ x) * (s |^ 2) is V11() real ext-real set
((n |^ x) * (s |^ 2)) + ((n |^ x) * (n |^ 2)) is V11() real ext-real set
(s |^ 2) + (n |^ 2) is V11() real ext-real set
(n |^ x) * ((s |^ 2) + (n |^ 2)) is V11() real ext-real set
(s ^2) + (n |^ 2) is V11() real ext-real set
(n |^ x) * ((s ^2) + (n |^ 2)) is V11() real ext-real set
(n |^ x) * (n ^2) is V11() real ext-real set
n |^ 2 is V11() real ext-real set
(n |^ x) * (n |^ 2) is V11() real ext-real set
s is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / s is V11() real ext-real non negative Element of COMPLEX
1 + (1 / s) is V1() V11() real ext-real positive non negative set
s + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + (1 / s)) |^ (s + 1) is V11() real ext-real set
1 / (s + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + (1 / (s + 1)) is V1() V11() real ext-real positive non negative set
(1 + (1 / (s + 1))) |^ s is V11() real ext-real set
s + 0 is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / s) + 1 is V1() V11() real ext-real positive non negative set
(1 / (s + 1)) + 1 is V1() V11() real ext-real positive non negative set
(1 + (1 / s)) |^ s is V11() real ext-real set
((1 + (1 / s)) |^ (s + 1)) - ((1 + (1 / s)) |^ s) is V11() real ext-real set
((1 + (1 / s)) |^ s) * (1 + (1 / s)) is V11() real ext-real set
(((1 + (1 / s)) |^ s) * (1 + (1 / s))) - ((1 + (1 / s)) |^ s) is V11() real ext-real set
((1 + (1 / s)) |^ s) * (1 / s) is V11() real ext-real set
(((1 + (1 / s)) |^ (s + 1)) - ((1 + (1 / s)) |^ s)) + ((1 + (1 / s)) |^ s) is V11() real ext-real set
0 + ((1 + (1 / s)) |^ s) is V11() real ext-real set
s is V1() V11() real ext-real positive non negative set
n is V1() V11() real ext-real positive non negative set
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
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 set
x is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ x is V11() real ext-real set
n |^ x is V11() real ext-real set
(s |^ x) + (n |^ x) is V11() real ext-real set
((s |^ x) + (n |^ x)) * ((s |^ n) + (n |^ n)) is V11() real ext-real set
x + n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s |^ (x + n) is V11() real ext-real set
n |^ (x + n) is V11() real ext-real set
(s |^ (x + n)) + (n |^ (x + n)) is V11() real ext-real set
2 * ((s |^ (x + n)) + (n |^ (x + n))) is V11() real ext-real set
(((s |^ x) + (n |^ x)) * ((s |^ n) + (n |^ n))) - (2 * ((s |^ (x + n)) + (n |^ (x + n)))) is V11() real ext-real set
(s |^ x) * (s |^ n) is V11() real ext-real set
(s |^ x) * (n |^ n) is V11() real ext-real set
((s |^ x) * (s |^ n)) + ((s |^ x) * (n |^ n)) is V11() real ext-real set
(n |^ x) * (s |^ n) is V11() real ext-real set
(((s |^ x) * (s |^ n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n)) is V11() real ext-real set
(n |^ x) * (n |^ n) is V11() real ext-real set
((((s |^ x) * (s |^ n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + ((n |^ x) * (n |^ n)) is V11() real ext-real set
2 * (s |^ (x + n)) is V11() real ext-real set
(((((s |^ x) * (s |^ n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + ((n |^ x) * (n |^ n))) - (2 * (s |^ (x + n))) is V11() real ext-real set
2 * (n |^ (x + n)) is V11() real ext-real set
((((((s |^ x) * (s |^ n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + ((n |^ x) * (n |^ n))) - (2 * (s |^ (x + n)))) - (2 * (n |^ (x + n))) is V11() real ext-real set
(s |^ (x + n)) + ((s |^ x) * (n |^ n)) is V11() real ext-real set
((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n)) is V11() real ext-real set
(((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + ((n |^ x) * (n |^ n)) is V11() real ext-real set
((((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + ((n |^ x) * (n |^ n))) - (2 * (s |^ (x + n))) is V11() real ext-real set
(((((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + ((n |^ x) * (n |^ n))) - (2 * (s |^ (x + n)))) - (2 * (n |^ (x + n))) is V11() real ext-real set
(((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + (n |^ (x + n)) is V11() real ext-real set
((((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + (n |^ (x + n))) - (2 * (s |^ (x + n))) is V11() real ext-real set
(((((s |^ (x + n)) + ((s |^ x) * (n |^ n))) + ((n |^ x) * (s |^ n))) + (n |^ (x + n))) - (2 * (s |^ (x + n)))) - (2 * (n |^ (x + n))) is V11() real ext-real set
((s |^ x) * (n |^ n)) + ((n |^ x) * (s |^ n)) is V11() real ext-real set
(((s |^ x) * (n |^ n)) + ((n |^ x) * (s |^ n))) - (s |^ (x + n)) is V11() real ext-real set
((((s |^ x) * (n |^ n)) + ((n |^ x) * (s |^ n))) - (s |^ (x + n))) - (n |^ (x + n)) is V11() real ext-real set
(((s |^ x) * (n |^ n)) + ((n |^ x) * (s |^ n))) - ((s |^ x) * (s |^ n)) is V11() real ext-real set
((((s |^ x) * (n |^ n)) + ((n |^ x) * (s |^ n))) - ((s |^ x) * (s |^ n))) - (n |^ (x + n)) is V11() real ext-real set
((((s |^ x) * (n |^ n)) + ((n |^ x) * (s |^ n))) - ((s |^ x) * (s |^ n))) - ((n |^ x) * (n |^ n)) is V11() real ext-real set
(s |^ n) - (n |^ n) is V11() real ext-real set
(n |^ x) - (s |^ x) is V11() real ext-real set
((s |^ n) - (n |^ n)) * ((n |^ x) - (s |^ x)) is V11() real ext-real set
s - n is V11() real ext-real set
(s - n) + n is V11() real ext-real set
0 + n is V1() V11() real ext-real positive non negative set
s - n is V11() real ext-real set
s - n is V11() real ext-real set
0 + n is V1() V11() real ext-real positive non negative set
(s - n) + n is V11() real ext-real set
s - n is V11() real ext-real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (n + 1) is V11() real ext-real Element of REAL
2 * (sqrt (n + 1)) is V11() real ext-real set
(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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((n + 1) + 1) is V11() real ext-real Element of REAL
2 * (sqrt ((n + 1) + 1)) is V11() real ext-real set
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (n + 2) is V11() real ext-real Element of REAL
n ^2 is V11() real ext-real set
n * n is ordinal natural V11() real ext-real non negative set
4 * (n ^2) is V11() real ext-real set
12 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
12 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (n ^2)) + (12 * n) is V11() real ext-real set
((4 * (n ^2)) + (12 * n)) + 9 is V11() real ext-real set
((4 * (n ^2)) + (12 * n)) + 8 is V11() real ext-real set
2 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((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
sqrt (((2 * n) + 3) ^2) is V11() real ext-real Element of REAL
(n + 2) * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((n + 2) * (n + 1)) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (4 * ((n + 2) * (n + 1))) is V11() real ext-real Element of REAL
sqrt ((n + 2) * (n + 1)) is V11() real ext-real Element of REAL
2 * (sqrt ((n + 2) * (n + 1))) is V11() real ext-real set
((2 * n) + 3) + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (sqrt ((n + 2) * (n + 1)))) + 1 is V11() real ext-real set
2 * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(sqrt (n + 2)) * (sqrt (n + 1)) is V11() real ext-real set
2 * ((sqrt (n + 2)) * (sqrt (n + 1))) is V11() real ext-real set
(2 * ((sqrt (n + 2)) * (sqrt (n + 1)))) + 1 is V11() real ext-real set
(n + 2) ^2 is V11() real ext-real Element of REAL
(n + 2) * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative set
sqrt ((n + 2) ^2) is V11() real ext-real Element of REAL
2 * (sqrt ((n + 2) ^2)) is V11() real ext-real set
(n + 2) * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((n + 2) * (n + 2)) is V11() real ext-real Element of REAL
2 * (sqrt ((n + 2) * (n + 2))) is V11() real ext-real set
(2 * (sqrt ((n + 2) * (n + 2)))) / (sqrt (n + 2)) is V11() real ext-real Element of COMPLEX
((2 * ((sqrt (n + 2)) * (sqrt (n + 1)))) + 1) / (sqrt (n + 2)) is V11() real ext-real Element of COMPLEX
(sqrt (n + 2)) * (sqrt (n + 2)) is V11() real ext-real set
2 * ((sqrt (n + 2)) * (sqrt (n + 2))) is V11() real ext-real set
(2 * ((sqrt (n + 2)) * (sqrt (n + 2)))) / (sqrt (n + 2)) is V11() real ext-real Element of COMPLEX
2 * (sqrt (n + 2)) is V11() real ext-real set
(2 * (sqrt (n + 2))) * (sqrt (n + 2)) is V11() real ext-real set
((2 * (sqrt (n + 2))) * (sqrt (n + 2))) / (sqrt (n + 2)) is V11() real ext-real Element of COMPLEX
(2 * (sqrt (n + 1))) * (sqrt (n + 2)) is V11() real ext-real set
((2 * (sqrt (n + 1))) * (sqrt (n + 2))) / (sqrt (n + 2)) is V11() real ext-real Element of COMPLEX
1 / (sqrt (n + 2)) is V11() real ext-real Element of COMPLEX
(((2 * (sqrt (n + 1))) * (sqrt (n + 2))) / (sqrt (n + 2))) + (1 / (sqrt (n + 2))) is V11() real ext-real Element of COMPLEX
(2 * (sqrt (n + 1))) + (1 / (sqrt (n + 2))) is V11() real ext-real set
((Partial_Sums s) . n) + (1 / (sqrt (n + 2))) is V11() real ext-real set
1 / (sqrt ((n + 1) + 1)) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) + (1 / (sqrt ((n + 1) + 1))) is V11() real ext-real set
s . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real set
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (0 + 1) is V11() real ext-real Element of REAL
1 / (sqrt (0 + 1)) is V11() real ext-real Element of COMPLEX
2 * (sqrt (0 + 1)) is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (n + 1) is V11() real ext-real Element of REAL
2 * (sqrt (n + 1)) is V11() real ext-real set
(Partial_Sums s) . n is V11() real ext-real Element of REAL
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V33() V34() 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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (n + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 - (1 / (n + 1)) is V11() real ext-real set
(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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((n + 1) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 - (1 / ((n + 1) + 1)) is V11() real ext-real set
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 2) ^2 is V11() real ext-real Element of REAL
(n + 2) * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative set
1 / ((n + 2) ^2) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) + (1 / ((n + 2) ^2)) is V11() real ext-real set
(2 - (1 / (n + 1))) + (1 / ((n + 2) ^2)) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is ordinal natural V11() real ext-real non negative set
3 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n ^2) + (3 * n) is V11() real ext-real set
((n ^2) + (3 * n)) + 3 is V11() real ext-real set
((n ^2) + (3 * n)) + 2 is V11() real ext-real set
(n + 1) * ((n + 2) ^2) is V11() real ext-real set
(((n ^2) + (3 * n)) + 3) / ((n + 1) * ((n + 2) ^2)) is V11() real ext-real Element of COMPLEX
(n + 2) * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((n + 2) ^2) * (n + 1) is V11() real ext-real set
((n + 2) * (n + 1)) / (((n + 2) ^2) * (n + 1)) is V11() real ext-real Element of COMPLEX
(n + 2) * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 2) / ((n + 2) * (n + 2)) is V1() V11() real ext-real positive non negative Element of COMPLEX
(n + 2) / (n + 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
((n + 2) / (n + 2)) / (n + 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 / (n + 2) is V1() V11() real ext-real positive non negative Element of COMPLEX
- 1 is V1() V11() real ext-real non positive negative set
(- 1) * (1 / (n + 2)) is V1() V11() real ext-real non positive negative set
(- 1) * ((((n ^2) + (3 * n)) + 3) / ((n + 1) * ((n + 2) ^2))) is V11() real ext-real set
- (1 / (n + 2)) is V1() V11() real ext-real non positive negative Element of COMPLEX
(- (1 / (n + 2))) + 2 is V11() real ext-real set
- ((((n ^2) + (3 * n)) + 3) / ((n + 1) * ((n + 2) ^2))) is V11() real ext-real Element of COMPLEX
(- ((((n ^2) + (3 * n)) + 3) / ((n + 1) * ((n + 2) ^2)))) + 2 is V11() real ext-real set
s . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real set
((n + 1) + 1) ^2 is V11() real ext-real Element of REAL
((n + 1) + 1) * ((n + 1) + 1) is V1() ordinal natural V11() real ext-real positive non negative set
1 / (((n + 1) + 1) ^2) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) + (1 / (((n + 1) + 1) ^2)) is V11() real ext-real set
(1 / (n + 1)) - (1 / ((n + 2) ^2)) is V11() real ext-real Element of COMPLEX
2 - ((1 / (n + 1)) - (1 / ((n + 2) ^2))) is V11() real ext-real set
1 * ((n + 2) ^2) is V11() real ext-real set
1 * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * ((n + 2) ^2)) - (1 * (n + 1)) is V11() real ext-real set
((1 * ((n + 2) ^2)) - (1 * (n + 1))) / ((n + 1) * ((n + 2) ^2)) is V11() real ext-real Element of COMPLEX
2 - (((1 * ((n + 2) ^2)) - (1 * (n + 1))) / ((n + 1) * ((n + 2) ^2))) is V11() real ext-real set
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) ^2 is V11() real ext-real Element of REAL
(0 + 1) * (0 + 1) is V1() ordinal natural V11() real ext-real positive non negative set
1 / ((0 + 1) ^2) is V11() real ext-real Element of COMPLEX
1 / (0 + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 - (1 / (0 + 1)) is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V33() V34() 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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (n + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 - (1 / (n + 1)) is V11() real ext-real set
s is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
(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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (s + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
2 - (1 / (s + 1)) is V11() real ext-real set
0 + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
- (1 / (s + 1)) is V1() V11() real ext-real non positive negative Element of COMPLEX
(- (1 / (s + 1))) + 2 is V11() real ext-real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(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 V33() V34() 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 set
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Product s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
((Partial_Sums s) . n) - n is V11() real ext-real set
(Partial_Product s) . n is V11() real ext-real Element of REAL
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . (n + 1)) - (n + 1) is V11() real ext-real set
(Partial_Product 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 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 set
1 * ((((Partial_Sums s) . n) - n) - 1) is V11() real ext-real set
(s . (n + 1)) * ((Partial_Sums s) . n) is V11() real ext-real set
(s . (n + 1)) * n is V11() real ext-real set
((s . (n + 1)) * ((Partial_Sums s) . n)) - ((s . (n + 1)) * n) is V11() real ext-real set
(((s . (n + 1)) * ((Partial_Sums s) . n)) - ((s . (n + 1)) * n)) - (s . (n + 1)) is V11() real ext-real set
((((s . (n + 1)) * ((Partial_Sums s) . n)) - ((s . (n + 1)) * n)) - (s . (n + 1))) + (s . (n + 1)) is V11() real ext-real set
((((Partial_Sums s) . n) - n) - 1) + (s . (n + 1)) is V11() real ext-real set
(((Partial_Sums s) . n) - n) * (s . (n + 1)) is V11() real ext-real set
((Partial_Product s) . n) * (s . (n + 1)) is V11() real ext-real set
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real set
(((Partial_Sums s) . n) + (s . (n + 1))) - (n + 1) is V11() real ext-real set
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
((Partial_Sums s) . 0) - 0 is V11() real ext-real set
s . 0 is V11() real ext-real Element of REAL
(Partial_Product s) . 0 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
((Partial_Sums s) . n) - n is V11() real ext-real set
(Partial_Product s) . n is V11() real ext-real Element of REAL
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n . 0 is V11() real ext-real Element of REAL
s . 0 is V11() real ext-real Element of REAL
1 / (s . 0) is V11() real ext-real Element of COMPLEX
n is ordinal natural V11() real ext-real non negative V33() V34() 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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . (n + 1) is V11() real ext-real Element of REAL
n . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums n) . n) + (n . (n + 1)) is V11() real ext-real set
s . (n + 1) is V11() real ext-real Element of REAL
1 / (s . (n + 1)) is V11() real ext-real Element of COMPLEX
(Partial_Sums n) . 0 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums n) . n is V11() real ext-real Element of REAL
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
Partial_Sums n is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 1) ^2 is V11() real ext-real Element of REAL
(n + 1) * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative set
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(Partial_Sums n) . n is V11() real ext-real Element of REAL
((Partial_Sums s) . n) * ((Partial_Sums n) . n) is V11() real ext-real set
(n + 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((n + 1) + 1) ^2 is V11() real ext-real Element of REAL
((n + 1) + 1) * ((n + 1) + 1) is V1() ordinal natural V11() real ext-real positive non negative set
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
(Partial_Sums n) . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . (n + 1)) * ((Partial_Sums n) . (n + 1)) is V11() real ext-real set
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 COMPLEX
((Partial_Sums n) . n) * (s . (n + 1)) is V11() real ext-real set
(((Partial_Sums s) . n) / (s . (n + 1))) + (((Partial_Sums n) . n) * (s . (n + 1))) is V11() real ext-real set
((((Partial_Sums s) . n) / (s . (n + 1))) + (((Partial_Sums n) . n) * (s . (n + 1)))) + 1 is V11() real ext-real set
((n + 1) ^2) + (((((Partial_Sums s) . n) / (s . (n + 1))) + (((Partial_Sums n) . n) * (s . (n + 1)))) + 1) is V11() real ext-real set
(((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((((Partial_Sums s) . n) / (s . (n + 1))) + (((Partial_Sums n) . n) * (s . (n + 1)))) + 1) is V11() real ext-real set
sqrt ((n + 1) ^2) is V11() real ext-real Element of REAL
sqrt (((Partial_Sums s) . n) * ((Partial_Sums n) . n)) is V11() real ext-real set
2 * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (sqrt (((Partial_Sums s) . n) * ((Partial_Sums n) . n))) is V11() real ext-real set
(((Partial_Sums n) . n) * (s . (n + 1))) * (((Partial_Sums s) . n) / (s . (n + 1))) is V11() real ext-real set
sqrt ((((Partial_Sums n) . n) * (s . (n + 1))) * (((Partial_Sums s) . n) / (s . (n + 1)))) is V11() real ext-real set
2 * (sqrt ((((Partial_Sums n) . n) * (s . (n + 1))) * (((Partial_Sums s) . n) / (s . (n + 1))))) is V11() real ext-real set
1 * (s . (n + 1)) is V11() real ext-real set
(1 * (s . (n + 1))) / (((Partial_Sums n) . n) * (s . (n + 1))) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) / ((1 * (s . (n + 1))) / (((Partial_Sums n) . n) * (s . (n + 1)))) is V11() real ext-real Element of COMPLEX
sqrt (((Partial_Sums s) . n) / ((1 * (s . (n + 1))) / (((Partial_Sums n) . n) * (s . (n + 1))))) is V11() real ext-real set
2 * (sqrt (((Partial_Sums s) . n) / ((1 * (s . (n + 1))) / (((Partial_Sums n) . n) * (s . (n + 1)))))) is V11() real ext-real set
1 / ((Partial_Sums n) . n) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) / (1 / ((Partial_Sums n) . n)) is V11() real ext-real Element of COMPLEX
sqrt (((Partial_Sums s) . n) / (1 / ((Partial_Sums n) . n))) is V11() real ext-real set
2 * (sqrt (((Partial_Sums s) . n) / (1 / ((Partial_Sums n) . n)))) is V11() real ext-real set
((Partial_Sums s) . n) / 1 is V11() real ext-real Element of COMPLEX
((Partial_Sums n) . n) * (((Partial_Sums s) . n) / 1) is V11() real ext-real set
sqrt (((Partial_Sums n) . n) * (((Partial_Sums s) . n) / 1)) is V11() real ext-real set
2 * (sqrt (((Partial_Sums n) . n) * (((Partial_Sums s) . n) / 1))) is V11() real ext-real set
2 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() 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
(n ^2) + (2 * n) is V11() real ext-real set
((n ^2) + (2 * n)) + 2 is V11() real ext-real set
((2 * n) + 2) + (((n ^2) + (2 * n)) + 2) is V11() real ext-real set
((((Partial_Sums s) . n) / (s . (n + 1))) + (((Partial_Sums n) . n) * (s . (n + 1)))) + (((n ^2) + (2 * n)) + 2) is V11() real ext-real set
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real set
(((Partial_Sums s) . n) + (s . (n + 1))) * ((Partial_Sums n) . (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 set
(((Partial_Sums s) . n) + (s . (n + 1))) * (((Partial_Sums n) . n) + (n . (n + 1))) is V11() real ext-real set
((Partial_Sums s) . n) * (n . (n + 1)) is V11() real ext-real set
(((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (n . (n + 1))) is V11() real ext-real set
(s . (n + 1)) * ((Partial_Sums n) . n) is V11() real ext-real set
((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (n . (n + 1)))) + ((s . (n + 1)) * ((Partial_Sums n) . n)) is V11() real ext-real set
(s . (n + 1)) * (n . (n + 1)) is V11() real ext-real set
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (n . (n + 1)))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + ((s . (n + 1)) * (n . (n + 1))) is V11() real ext-real set
1 / (s . (n + 1)) is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) * (1 / (s . (n + 1))) is V11() real ext-real set
(((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (1 / (s . (n + 1)))) is V11() real ext-real set
((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (1 / (s . (n + 1))))) + ((s . (n + 1)) * ((Partial_Sums n) . n)) is V11() real ext-real set
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (1 / (s . (n + 1))))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + ((s . (n + 1)) * (n . (n + 1))) is V11() real ext-real set
(s . (n + 1)) * (1 / (s . (n + 1))) is V11() real ext-real set
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (1 / (s . (n + 1))))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + ((s . (n + 1)) * (1 / (s . (n + 1)))) is V11() real ext-real set
(s . (n + 1)) * 1 is V11() real ext-real set
((s . (n + 1)) * 1) / (s . (n + 1)) is V11() real ext-real Element of COMPLEX
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (1 / (s . (n + 1))))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + (((s . (n + 1)) * 1) / (s . (n + 1))) is V11() real ext-real set
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) * (1 / (s . (n + 1))))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + 1 is V11() real ext-real set
(s . (n + 1)) / 1 is V11() real ext-real Element of COMPLEX
((Partial_Sums s) . n) / ((s . (n + 1)) / 1) is V11() real ext-real Element of COMPLEX
(((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) / ((s . (n + 1)) / 1)) is V11() real ext-real set
((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) / ((s . (n + 1)) / 1))) + ((s . (n + 1)) * ((Partial_Sums n) . n)) is V11() real ext-real set
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) / ((s . (n + 1)) / 1))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + 1 is V11() real ext-real set
(((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) / (s . (n + 1))) is V11() real ext-real set
((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) / (s . (n + 1)))) + ((s . (n + 1)) * ((Partial_Sums n) . n)) is V11() real ext-real set
(((((Partial_Sums s) . n) * ((Partial_Sums n) . n)) + (((Partial_Sums s) . n) / (s . (n + 1)))) + ((s . (n + 1)) * ((Partial_Sums n) . n))) + 1 is V11() real ext-real set
(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 set
(s . 0) * ((Partial_Sums n) . 0) is V11() real ext-real set
n . 0 is V11() real ext-real Element of REAL
(s . 0) * (n . 0) is V11() real ext-real set
1 / (s . 0) is V11() real ext-real Element of COMPLEX
(s . 0) * (1 / (s . 0)) is V11() real ext-real set
(s . 0) / 1 is V11() real ext-real Element of COMPLEX
(s . 0) / ((s . 0) / 1) is V11() real ext-real Element of COMPLEX
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) ^2 is V11() real ext-real Element of REAL
(0 + 1) * (0 + 1) is V1() ordinal natural V11() real ext-real positive non negative set
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 1) ^2 is V11() real ext-real Element of REAL
(n + 1) * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative set
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(Partial_Sums n) . n is V11() real ext-real Element of REAL
((Partial_Sums s) . n) * ((Partial_Sums n) . n) is V11() real ext-real set
1 / 6 is V1() V11() real ext-real positive non negative Element of COMPLEX
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative set
4 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * n) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / 6) * ((4 * n) + 3) is V1() V11() real ext-real positive non negative set
sqrt n is V11() real ext-real set
((1 / 6) * ((4 * n) + 3)) * (sqrt n) is V11() real ext-real set
(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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (n + 1)) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / 6) * ((4 * (n + 1)) + 3) is V1() V11() real ext-real positive non negative set
sqrt (n + 1) is V11() real ext-real set
((1 / 6) * ((4 * (n + 1)) + 3)) * (sqrt (n + 1)) is V11() real ext-real set
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s . (n + 1) is V11() real ext-real Element of REAL
sqrt (n + 1) is V11() real ext-real Element of REAL
16 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() 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
16 * (n ^2) is V11() real ext-real set
8 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(16 * (n ^2)) + (8 * n) is V11() real ext-real set
1 + ((16 * (n ^2)) + (8 * n)) is V11() real ext-real set
0 + ((16 * (n ^2)) + (8 * n)) is V11() real ext-real set
((16 * (n ^2)) + (8 * n)) + 1 is V11() real ext-real set
1 * (((16 * (n ^2)) + (8 * n)) + 1) is V11() real ext-real set
16 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(16 * n) + 8 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((16 * n) + 8) * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / n is V11() real ext-real non negative Element of COMPLEX
(4 * n) + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((4 * n) + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((4 * n) + 1)) + 4 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * n) + 1) ^2 is V11() real ext-real Element of REAL
((4 * n) + 1) * ((4 * n) + 1) is V1() ordinal natural V11() real ext-real positive non negative set
((4 * ((4 * n) + 1)) + 4) / (((4 * n) + 1) ^2) is V11() real ext-real Element of COMPLEX
((4 * n) + 1) * ((4 * n) + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((4 * n) + 1)) / (((4 * n) + 1) * ((4 * n) + 1)) is V1() V11() real ext-real positive non negative Element of COMPLEX
4 / (((4 * n) + 1) ^2) is V11() real ext-real Element of COMPLEX
((4 * ((4 * n) + 1)) / (((4 * n) + 1) * ((4 * n) + 1))) + (4 / (((4 * n) + 1) ^2)) is V11() real ext-real Element of COMPLEX
4 / ((4 * n) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
(4 / ((4 * n) + 1)) + (4 / (((4 * n) + 1) ^2)) is V11() real ext-real Element of COMPLEX
1 + (1 / n) is V1() V11() real ext-real positive non negative set
1 + ((4 / ((4 * n) + 1)) + (4 / (((4 * n) + 1) ^2))) is V11() real ext-real set
1 + (4 / ((4 * n) + 1)) is V1() V11() real ext-real positive non negative set
(1 + (4 / ((4 * n) + 1))) + (4 / (((4 * n) + 1) ^2)) is V11() real ext-real set
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) / ((4 * n) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + ((2 * 2) / ((4 * n) + 1)) is V1() V11() real ext-real positive non negative set
2 / ((4 * n) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
(2 / ((4 * n) + 1)) ^2 is V11() real ext-real Element of COMPLEX
(2 / ((4 * n) + 1)) * (2 / ((4 * n) + 1)) is V1() V11() real ext-real positive non negative set
(1 + ((2 * 2) / ((4 * n) + 1))) + ((2 / ((4 * n) + 1)) ^2) is V11() real ext-real set
2 * (2 / ((4 * n) + 1)) is V1() V11() real ext-real positive non negative set
1 + (2 * (2 / ((4 * n) + 1))) is V1() V11() real ext-real positive non negative set
(1 + (2 * (2 / ((4 * n) + 1)))) + ((2 / ((4 * n) + 1)) ^2) is V11() real ext-real set
n * 1 is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 + (n * 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + (n * 1)) / n is V11() real ext-real non negative Element of COMPLEX
(2 / ((4 * n) + 1)) + 1 is V1() V11() real ext-real positive non negative set
((2 / ((4 * n) + 1)) + 1) ^2 is V11() real ext-real set
((2 / ((4 * n) + 1)) + 1) * ((2 / ((4 * n) + 1)) + 1) is V1() V11() real ext-real positive non negative set
1 + n is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + n) / n is V11() real ext-real non negative Element of COMPLEX
sqrt ((1 + n) / n) is V11() real ext-real set
sqrt (((2 / ((4 * n) + 1)) + 1) ^2) is V11() real ext-real set
((4 * n) + 1) * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 + (((4 * n) + 1) * 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 + (((4 * n) + 1) * 1)) / ((4 * n) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (1 + n) is V11() real ext-real Element of REAL
(sqrt (1 + n)) / (sqrt n) is V11() real ext-real Element of COMPLEX
((4 * n) + 3) / ((4 * n) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
(sqrt (1 + n)) * ((4 * n) + 1) is V11() real ext-real set
(1 / 6) * ((sqrt (1 + n)) * ((4 * n) + 1)) is V11() real ext-real set
((4 * n) + 3) * (sqrt n) is V11() real ext-real set
(1 / 6) * (((4 * n) + 3) * (sqrt n)) is V11() real ext-real set
(1 / 6) * (sqrt (1 + n)) is V11() real ext-real set
7 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * n) + 7 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((1 / 6) * (sqrt (1 + n))) * ((4 * n) + 7) is V11() real ext-real set
(((1 / 6) * (sqrt (1 + n))) * ((4 * n) + 7)) - (sqrt (1 + n)) is V11() real ext-real set
((((1 / 6) * (sqrt (1 + n))) * ((4 * n) + 7)) - (sqrt (1 + n))) + (sqrt (1 + n)) is V11() real ext-real set
((Partial_Sums s) . n) + (sqrt (1 + n)) is V11() real ext-real set
1 + 0 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (1 + 0) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . (1 + 0) is V11() real ext-real Element of REAL
((Partial_Sums s) . 0) + (s . (1 + 0)) is V11() real ext-real set
s . 1 is V11() real ext-real Element of REAL
(s . 0) + (s . 1) is V11() real ext-real set
0 + (s . 1) is V11() real ext-real set
4 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * 1) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / 6) * ((4 * 1) + 3) is V1() V11() real ext-real positive non negative set
sqrt 1 is V11() real ext-real set
((1 / 6) * ((4 * 1) + 3)) * (sqrt 1) is V11() real ext-real set
(Partial_Sums s) . 1 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
4 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * n) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / 6) * ((4 * n) + 3) is V1() V11() real ext-real positive non negative set
sqrt n is V11() real ext-real set
((1 / 6) * ((4 * n) + 3)) * (sqrt n) is V11() real ext-real set
(Partial_Sums s) . n is V11() real ext-real Element of REAL
2 / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative set
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(2 / 3) * n is V11() real ext-real non negative set
sqrt n is V11() real ext-real set
((2 / 3) * n) * (sqrt n) is V11() real ext-real set
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (n + 1) is V11() real ext-real Element of REAL
(2 / 3) * (n + 1) is V1() V11() real ext-real positive non negative set
sqrt (n + 1) is V11() real ext-real set
((2 / 3) * (n + 1)) * (sqrt (n + 1)) is V11() real ext-real set
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
2 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) - 1 is V11() real ext-real set
3 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
3 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 - (3 * n) is V11() real ext-real set
n |^ 3 is ordinal natural V11() real ext-real non negative set
4 * (n |^ 3) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
0 + (4 * (n |^ 3)) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
4 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n - (4 * n) is V11() real ext-real set
1 + (n - (4 * n)) is V11() real ext-real set
n ^2 is V11() real ext-real set
n * n is ordinal natural V11() real ext-real non negative set
4 * (n ^2) is V11() real ext-real set
(4 * (n ^2)) - (4 * (n ^2)) is V11() real ext-real set
(1 + (n - (4 * n))) + ((4 * (n ^2)) - (4 * (n ^2))) is V11() real ext-real set
((1 + (n - (4 * n))) + ((4 * (n ^2)) - (4 * (n ^2)))) + (4 * (n |^ 3)) is V11() real ext-real set
2 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n |^ (2 + 1) is ordinal natural V11() real ext-real non negative set
4 * (n |^ (2 + 1)) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (n |^ (2 + 1))) - (4 * (n ^2)) is V11() real ext-real set
((4 * (n |^ (2 + 1))) - (4 * (n ^2))) + n is V11() real ext-real set
(4 * (n ^2)) - (4 * n) is V11() real ext-real set
((4 * (n ^2)) - (4 * n)) + 1 is V11() real ext-real set
(((4 * (n |^ (2 + 1))) - (4 * (n ^2))) + n) + (((4 * (n ^2)) - (4 * n)) + 1) is V11() real ext-real set
n |^ 2 is ordinal natural V11() real ext-real non negative set
(n |^ 2) * n is ordinal natural V11() real ext-real non negative set
4 * ((n |^ 2) * n) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (n * n) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((n |^ 2) * n)) - (4 * (n * n)) is V11() real ext-real set
((4 * ((n |^ 2) * n)) - (4 * (n * n))) + n is V11() real ext-real set
(((4 * ((n |^ 2) * n)) - (4 * (n * n))) + n) + (((4 * (n ^2)) - (4 * n)) + 1) is V11() real ext-real set
4 * (n |^ 2) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (n |^ 2)) - (4 * n) is V11() real ext-real set
((4 * (n |^ 2)) - (4 * n)) + 1 is V11() real ext-real set
(((4 * (n |^ 2)) - (4 * n)) + 1) * n is V11() real ext-real set
(((4 * (n ^2)) - (4 * n)) + 1) * 1 is V11() real ext-real set
((((4 * (n |^ 2)) - (4 * n)) + 1) * n) + ((((4 * (n ^2)) - (4 * n)) + 1) * 1) is V11() real ext-real set
(((4 * (n ^2)) - (4 * n)) + 1) * n is V11() real ext-real set
((((4 * (n ^2)) - (4 * n)) + 1) * n) + ((((4 * (n ^2)) - (4 * n)) + 1) * 1) is V11() real ext-real set
(((4 * (n ^2)) - (4 * n)) + 1) * (n + 1) is V11() real ext-real set
(4 * (n |^ 2)) * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (n ^2)) * n is V11() real ext-real set
((2 * n) - 1) ^2 is V11() real ext-real set
((2 * n) - 1) * ((2 * n) - 1) is V11() real ext-real set
(((2 * n) - 1) ^2) * (n + 1) is V11() real ext-real set
(2 * n) ^2 is V11() real ext-real Element of REAL
(2 * n) * (2 * n) is ordinal natural V11() real ext-real non negative set
((2 * n) ^2) / (((2 * n) - 1) ^2) is V11() real ext-real Element of COMPLEX
(n + 1) / n is V11() real ext-real non negative Element of COMPLEX
(2 * n) / ((2 * n) - 1) is V11() real ext-real Element of COMPLEX
((2 * n) / ((2 * n) - 1)) ^2 is V11() real ext-real Element of COMPLEX
((2 * n) / ((2 * n) - 1)) * ((2 * n) / ((2 * n) - 1)) is V11() real ext-real set
sqrt (((2 * n) / ((2 * n) - 1)) ^2) is V11() real ext-real set
sqrt ((n + 1) / n) is V11() real ext-real set
sqrt (n + 1) is V11() real ext-real Element of REAL
(sqrt (n + 1)) / (sqrt n) is V11() real ext-real Element of COMPLEX
(2 * n) * (sqrt n) is V11() real ext-real set
(1 / 3) * ((2 * n) * (sqrt n)) is V11() real ext-real set
(sqrt (n + 1)) * ((2 * n) - 1) is V11() real ext-real set
(1 / 3) * ((sqrt (n + 1)) * ((2 * n) - 1)) is V11() real ext-real set
((2 / 3) * (n + 1)) * (sqrt (n + 1)) is V11() real ext-real set
(((2 / 3) * (n + 1)) * (sqrt (n + 1))) - (sqrt (n + 1)) is V11() real ext-real set
((Partial_Sums s) . n) + (sqrt (n + 1)) is V11() real ext-real set
((((2 / 3) * (n + 1)) * (sqrt (n + 1))) - (sqrt (n + 1))) + (sqrt (n + 1)) is V11() real ext-real set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
s . (n + 1) is V11() real ext-real Element of REAL
((Partial_Sums s) . n) + (s . (n + 1)) is V11() real ext-real set
1 + 0 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (1 + 0) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . (1 + 0) is V11() real ext-real Element of REAL
((Partial_Sums s) . 0) + (s . (1 + 0)) is V11() real ext-real set
s . 1 is V11() real ext-real Element of REAL
(s . 0) + (s . 1) is V11() real ext-real set
0 + (s . 1) is V11() real ext-real set
(Partial_Sums s) . 1 is V11() real ext-real Element of REAL
(2 / 3) * 1 is V1() V11() real ext-real positive non negative set
sqrt 1 is V11() real ext-real set
((2 / 3) * 1) * (sqrt 1) is V11() real ext-real set
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is V11() real ext-real Element of REAL
(2 / 3) * n is V11() real ext-real non negative set
sqrt n is V11() real ext-real set
((2 / 3) * n) * (sqrt n) is V11() real ext-real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
Partial_Product s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
2 * 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((2 * 1) + 3) is V11() real ext-real Element of REAL
(1 / 2) * (sqrt ((2 * 1) + 3)) is V11() real ext-real set
5 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt 5 is V11() real ext-real Element of REAL
(sqrt 5) / 2 is V11() real ext-real Element of COMPLEX
n is ordinal natural V11() real ext-real non negative set
(Partial_Product s) . n is V11() real ext-real Element of REAL
2 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((2 * n) + 3) is V11() real ext-real Element of REAL
(1 / 2) * (sqrt ((2 * n) + 3)) is V11() real ext-real set
n + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Product s) . (n + 1) is V11() real ext-real Element of REAL
2 * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (n + 1)) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((2 * (n + 1)) + 3) is V11() real ext-real Element of REAL
(1 / 2) * (sqrt ((2 * (n + 1)) + 3)) is V11() real ext-real set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * n) + 3) is V1() V11() real ext-real positive non negative Element of COMPLEX
(2 * n) + 5 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / ((2 * n) + 3)) + ((2 * n) + 5) is V1() V11() real ext-real positive non negative set
0 + ((2 * n) + 5) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 / ((2 * n) + 3)) + 2 is V1() V11() real ext-real positive non negative set
((1 / ((2 * n) + 3)) + 2) + ((2 * n) + 3) is V1() V11() real ext-real positive non negative 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
(sqrt ((2 * n) + 3)) ^2 is V11() real ext-real Element of REAL
(sqrt ((2 * n) + 3)) * (sqrt ((2 * n) + 3)) is V11() real ext-real set
(1 ^2) / ((sqrt ((2 * n) + 3)) ^2) is V11() real ext-real Element of COMPLEX
((1 ^2) / ((sqrt ((2 * n) + 3)) ^2)) + 2 is V11() real ext-real set
(((1 ^2) / ((sqrt ((2 * n) + 3)) ^2)) + 2) + ((2 * n) + 3) is V11() real ext-real set
1 / (sqrt ((2 * n) + 3)) is V11() real ext-real Element of COMPLEX
(1 / (sqrt ((2 * n) + 3))) ^2 is V11() real ext-real Element of COMPLEX
(1 / (sqrt ((2 * n) + 3))) * (1 / (sqrt ((2 * n) + 3))) is V11() real ext-real set
((1 / (sqrt ((2 * n) + 3))) ^2) + 2 is V11() real ext-real set
(((1 / (sqrt ((2 * n) + 3))) ^2) + 2) + ((2 * n) + 3) is V11() real ext-real set
((1 / (sqrt ((2 * n) + 3))) ^2) + (2 * 1) is V11() real ext-real set
(((1 / (sqrt ((2 * n) + 3))) ^2) + (2 * 1)) + ((sqrt ((2 * n) + 3)) ^2) is V11() real ext-real set
(sqrt ((2 * n) + 3)) * (1 / (sqrt ((2 * n) + 3))) is V11() real ext-real set
2 * ((sqrt ((2 * n) + 3)) * (1 / (sqrt ((2 * n) + 3)))) is V11() real ext-real set
((1 / (sqrt ((2 * n) + 3))) ^2) + (2 * ((sqrt ((2 * n) + 3)) * (1 / (sqrt ((2 * n) + 3))))) is V11() real ext-real set
(((1 / (sqrt ((2 * n) + 3))) ^2) + (2 * ((sqrt ((2 * n) + 3)) * (1 / (sqrt ((2 * n) + 3)))))) + ((sqrt ((2 * n) + 3)) ^2) is V11() real ext-real set
(1 / (sqrt ((2 * n) + 3))) + (sqrt ((2 * n) + 3)) is V11() real ext-real set
((1 / (sqrt ((2 * n) + 3))) + (sqrt ((2 * n) + 3))) ^2 is V11() real ext-real set
((1 / (sqrt ((2 * n) + 3))) + (sqrt ((2 * n) + 3))) * ((1 / (sqrt ((2 * n) + 3))) + (sqrt ((2 * n) + 3))) is V11() real ext-real set
sqrt (((1 / (sqrt ((2 * n) + 3))) + (sqrt ((2 * n) + 3))) ^2) is V11() real ext-real set
sqrt ((2 * n) + 5) is V11() real ext-real Element of REAL
(sqrt ((2 * n) + 3)) + (1 / (sqrt ((2 * n) + 3))) is V11() real ext-real set
(1 / 2) * ((sqrt ((2 * n) + 3)) + (1 / (sqrt ((2 * n) + 3)))) is V11() real ext-real set
(1 / 2) * (sqrt ((2 * n) + 5)) is V11() real ext-real set
1 + (1 / ((2 * n) + 3)) is V1() V11() real ext-real positive non negative set
((Partial_Product s) . n) * (1 + (1 / ((2 * n) + 3))) is V11() real ext-real set
((1 / 2) * (sqrt ((2 * n) + 3))) * (1 + (1 / ((2 * n) + 3))) is V11() real ext-real set
((1 / 2) * (sqrt ((2 * n) + 3))) * 1 is V11() real ext-real set
((1 / 2) * (sqrt ((2 * n) + 3))) * (1 / ((2 * n) + 3)) is V11() real ext-real set
(((1 / 2) * (sqrt ((2 * n) + 3))) * 1) + (((1 / 2) * (sqrt ((2 * n) + 3))) * (1 / ((2 * n) + 3))) is V11() real ext-real set
((1 / 2) * (sqrt ((2 * n) + 3))) / ((2 * n) + 3) is V11() real ext-real Element of COMPLEX
((1 / 2) * (sqrt ((2 * n) + 3))) + (((1 / 2) * (sqrt ((2 * n) + 3))) / ((2 * n) + 3)) is V11() real ext-real set
(sqrt ((2 * n) + 3)) / ((2 * n) + 3) is V11() real ext-real Element of COMPLEX
(1 / 2) * ((sqrt ((2 * n) + 3)) / ((2 * n) + 3)) is V11() real ext-real Element of COMPLEX
((1 / 2) * (sqrt ((2 * n) + 3))) + ((1 / 2) * ((sqrt ((2 * n) + 3)) / ((2 * n) + 3))) is V11() real ext-real set
((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
sqrt (((2 * n) + 3) ^2) is V11() real ext-real Element of REAL
(sqrt ((2 * n) + 3)) / (sqrt (((2 * n) + 3) ^2)) is V11() real ext-real Element of COMPLEX
(1 / 2) * ((sqrt ((2 * n) + 3)) / (sqrt (((2 * n) + 3) ^2))) is V11() real ext-real Element of COMPLEX
((1 / 2) * (sqrt ((2 * n) + 3))) + ((1 / 2) * ((sqrt ((2 * n) + 3)) / (sqrt (((2 * n) + 3) ^2)))) is V11() real ext-real set
(sqrt ((2 * n) + 3)) * 1 is V11() real ext-real set
((sqrt ((2 * n) + 3)) * 1) / ((sqrt ((2 * n) + 3)) * (sqrt ((2 * n) + 3))) is V11() real ext-real Element of COMPLEX
(1 / 2) * (((sqrt ((2 * n) + 3)) * 1) / ((sqrt ((2 * n) + 3)) * (sqrt ((2 * n) + 3)))) is V11() real ext-real Element of COMPLEX
((1 / 2) * (sqrt ((2 * n) + 3))) + ((1 / 2) * (((sqrt ((2 * n) + 3)) * 1) / ((sqrt ((2 * n) + 3)) * (sqrt ((2 * n) + 3))))) is V11() real ext-real set
(sqrt ((2 * n) + 3)) / (sqrt ((2 * n) + 3)) is V11() real ext-real Element of COMPLEX
((sqrt ((2 * n) + 3)) / (sqrt ((2 * n) + 3))) * (1 / (sqrt ((2 * n) + 3))) is V11() real ext-real Element of COMPLEX
(1 / 2) * (((sqrt ((2 * n) + 3)) / (sqrt ((2 * n) + 3))) * (1 / (sqrt ((2 * n) + 3)))) is V11() real ext-real Element of COMPLEX
((1 / 2) * (sqrt ((2 * n) + 3))) + ((1 / 2) * (((sqrt ((2 * n) + 3)) / (sqrt ((2 * n) + 3))) * (1 / (sqrt ((2 * n) + 3))))) is V11() real ext-real set
1 * (1 / (sqrt ((2 * n) + 3))) is V11() real ext-real set
(1 / 2) * (1 * (1 / (sqrt ((2 * n) + 3)))) is V11() real ext-real set
((1 / 2) * (sqrt ((2 * n) + 3))) + ((1 / 2) * (1 * (1 / (sqrt ((2 * n) + 3))))) is V11() real ext-real set
(2 * (n + 1)) + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (n + 1)) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + (1 / ((2 * (n + 1)) + 1)) is V1() V11() real ext-real positive non negative set
((Partial_Product s) . n) * (1 + (1 / ((2 * (n + 1)) + 1))) is V11() real ext-real set
s . (n + 1) is V11() real ext-real Element of REAL
((Partial_Product s) . n) * (s . (n + 1)) is V11() real ext-real set
16 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
16 / 9 is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (16 / 9) is V11() real ext-real set
5 / 4 is V1() V11() real ext-real positive non negative Element of COMPLEX
sqrt (5 / 4) is V11() real ext-real set
4 ^2 is V11() real ext-real Element of REAL
4 * 4 is V1() ordinal natural V11() real ext-real positive non negative set
sqrt (4 ^2) is V11() real ext-real Element of REAL
3 ^2 is V11() real ext-real Element of REAL
3 * 3 is V1() ordinal natural V11() real ext-real positive non negative set
sqrt (3 ^2) is V11() real ext-real Element of REAL
(sqrt (4 ^2)) / (sqrt (3 ^2)) is V11() real ext-real Element of COMPLEX
4 / (sqrt (3 ^2)) is V11() real ext-real Element of COMPLEX
4 / 3 is V1() V11() real ext-real positive non negative Element of COMPLEX
2 ^2 is V11() real ext-real Element of REAL
2 * 2 is V1() ordinal natural V11() real ext-real positive non negative set
sqrt (2 ^2) is V11() real ext-real Element of REAL
(sqrt 5) / (sqrt (2 ^2)) is V11() real ext-real Element of COMPLEX
1 + 0 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Product s) . (1 + 0) is V11() real ext-real Element of REAL
(Partial_Product s) . 0 is V11() real ext-real Element of REAL
s . (1 + 0) is V11() real ext-real Element of REAL
((Partial_Product s) . 0) * (s . (1 + 0)) is V11() real ext-real set
s . 1 is V11() real ext-real Element of REAL
(s . 0) * (s . 1) is V11() real ext-real set
1 * (s . 1) is V11() real ext-real set
(2 * 1) + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * 1) + 1) is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + (1 / ((2 * 1) + 1)) is V1() V11() real ext-real positive non negative set
(Partial_Product s) . 1 is V11() real ext-real Element of REAL
n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Product s) . n is V11() real ext-real Element of REAL
2 * n is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * n) + 3 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((2 * n) + 3) is V11() real ext-real Element of REAL
(1 / 2) * (sqrt ((2 * n) + 3)) is V11() real ext-real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
s . 0 is V11() real ext-real Element of REAL
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K6(K7(NAT,REAL))
n is ordinal natural V11() real ext-real non negative set
(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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n * (n + 1) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n * (n + 1)) / 2 is V11() real ext-real non negative Element of COMPLEX
(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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 1) * ((n + 1) + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
((n + 1) * ((n + 1) + 1)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 1) * ((n + 1) + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((n + 1) * ((n + 1) + 1)) is V11() real ext-real Element of REAL
n + 2 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 2) * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n + 1) ^2 is V11() real ext-real Element of REAL
(n + 1) * (n + 1) is V1() ordinal natural V11() real ext-real positive non negative set
sqrt ((n + 2) * (n + 1)) is V11() real ext-real Element of REAL
sqrt ((n + 1) ^2) is V11() real ext-real Element of REAL
(n + 1) * (n + 2) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt ((n + 1) * (n + 2)) is V11() real ext-real Element of REAL
((n + 1) * (n + 2)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
(sqrt ((n + 1) * (n + 2))) - (((n + 1) * (n + 2)) / 2) is V11() real ext-real set
((Partial_Sums s) . n) + ((sqrt ((n + 1) * (n + 2))) - (((n + 1) * (n + 2)) / 2)) is V11() real ext-real set
((n * (n + 1)) / 2) + ((sqrt ((n + 1) * (n + 2))) - (((n + 1) * (n + 2)) / 2)) is V11() real ext-real set
((Partial_Sums s) . n) + (sqrt ((n + 1) * (n + 2))) is V11() real ext-real set
(((Partial_Sums s) . n) + (sqrt ((n + 1) * (n + 2)))) - (((n + 1) * (n + 2)) / 2) is V11() real ext-real set
(sqrt ((n + 1) * (n + 2))) - (n + 1) is V11() real ext-real set
((((Partial_Sums s) . n) + (sqrt ((n + 1) * (n + 2)))) - (((n + 1) * (n + 2)) / 2)) + (((n + 1) * (n + 2)) / 2) is V11() real ext-real set
0 + (((n + 1) * (n + 2)) / 2) is V1() V11() real ext-real positive non negative set
(Partial_Sums s) . 1 is V11() real ext-real Element of REAL
0 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . (0 + 1) is V11() real ext-real Element of REAL
(Partial_Sums s) . 0 is V11() real ext-real Element of REAL
s . 1 is V11() real ext-real Element of REAL
((Partial_Sums s) . 0) + (s . 1) is V11() real ext-real set
(s . 0) + (s . 1) is V11() real ext-real set
0 + (s . 1) is V11() real ext-real set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
sqrt (1 * (1 + 1)) is V11() real ext-real Element of REAL
sqrt 2 is V11() real ext-real Element of REAL
((Partial_Sums s) . 1) ^2 is V11() real ext-real Element of REAL
((Partial_Sums s) . 1) * ((Partial_Sums s) . 1) is V11() real ext-real set
sqrt (((Partial_Sums s) . 1) ^2) is V11() real ext-real Element of REAL
(1 * (1 + 1)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
((1 * (1 + 1)) / 2) ^2 is V11() real ext-real Element of COMPLEX
((1 * (1 + 1)) / 2) * ((1 * (1 + 1)) / 2) is V1() V11() real ext-real positive non negative set
sqrt (((1 * (1 + 1)) / 2) ^2) is V11() real ext-real set
1 + 1 is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 + 1) is V1() ordinal natural V11() real ext-real positive non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (1 + 1)) / 2 is V1() V11() real ext-real positive non negative Element of COMPLEX
n is ordinal natural V11() real ext-real non negative V33() V34() 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 V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
n * (n + 1) is ordinal natural V11() real ext-real non negative V33() V34() V57() V58() V59() V60() V61() V62() Element of NAT
(n * (n + 1)) / 2 is V11() real ext-real non negative Element of COMPLEX