:: SERIES_2 semantic presentation

REAL is V4() V45() V57() V58() V59() V63() set
NAT is V57() V58() V59() V60() V61() V62() V63() Element of K11(REAL)
K11(REAL) is set
COMPLEX is V4() V45() V57() V63() set
NAT is V57() V58() V59() V60() V61() V62() V63() set
K11(NAT) is set
K11(NAT) is set
RAT is V4() V45() V57() V58() V59() V60() V63() set
INT is V4() V45() V57() V58() V59() V60() V61() V63() set
K12(NAT,REAL) is V35() V36() V37() set
K11(K12(NAT,REAL)) is set
0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 ! is ext-real positive natural V14() real Element of REAL
2 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 ! is ext-real positive natural V14() real Element of REAL
- 1 is ext-real V14() real set
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ a is ext-real V14() real set
abs ((- 1) |^ a) is ext-real V14() real Element of REAL
(- 1) to_power a is ext-real V14() real set
1 to_power a is ext-real V14() real set
(- 1) to_power a is ext-real V14() real set
1 to_power a is ext-real V14() real set
- (1 to_power a) is ext-real V14() real set
- (- 1) is ext-real V14() real set
3 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real V14() real set
a |^ 3 is ext-real V14() real set
a * a is ext-real V14() real set
(a * a) * a is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real V14() real set
a |^ 2 is ext-real V14() real set
(a |^ 2) * a is ext-real V14() real set
a is ext-real V14() real set
a |^ 3 is ext-real V14() real set
a |^ 2 is ext-real V14() real set
(a |^ 2) * a is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real V14() real set
4 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real V14() real set
a |^ 2 is ext-real V14() real set
2 * a is ext-real V14() real set
b is ext-real V14() real set
a + b is ext-real V14() real set
(a + b) |^ 2 is ext-real V14() real set
(2 * a) * b is ext-real V14() real set
(a |^ 2) + ((2 * a) * b) is ext-real V14() real set
b |^ 2 is ext-real V14() real set
((a |^ 2) + ((2 * a) * b)) + (b |^ 2) is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + b) |^ (1 + 1) is ext-real V14() real set
(a + b) |^ 1 is ext-real V14() real set
((a + b) |^ 1) * (a + b) is ext-real V14() real set
(a + b) * (a + b) is ext-real V14() real set
a * a is ext-real V14() real set
a * b is ext-real V14() real set
(a * a) + (a * b) is ext-real V14() real set
b * b is ext-real V14() real set
(a * b) + (b * b) is ext-real V14() real set
((a * a) + (a * b)) + ((a * b) + (b * b)) is ext-real V14() real set
(a * b) + (b |^ 2) is ext-real V14() real set
((a * a) + (a * b)) + ((a * b) + (b |^ 2)) is ext-real V14() real set
(a |^ 2) + (a * b) is ext-real V14() real set
((a |^ 2) + (a * b)) + ((a * b) + (b |^ 2)) is ext-real V14() real set
2 * (a * b) is ext-real V14() real set
(a |^ 2) + (2 * (a * b)) is ext-real V14() real set
((a |^ 2) + (2 * (a * b))) + (b |^ 2) is ext-real V14() real set
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real V14() real set
a + 1 is ext-real V14() real set
(a + 1) |^ 3 is ext-real V14() real set
a |^ 3 is ext-real V14() real set
a |^ 2 is ext-real V14() real set
3 * (a |^ 2) is ext-real V14() real set
(a |^ 3) + (3 * (a |^ 2)) is ext-real V14() real set
3 * a is ext-real V14() real set
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real V14() real set
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real V14() real set
(a + 1) |^ 2 is ext-real V14() real set
((a + 1) |^ 2) * (a + 1) is ext-real V14() real set
2 * a is ext-real V14() real set
(2 * a) * 1 is ext-real V14() real set
(a |^ 2) + ((2 * a) * 1) is ext-real V14() real set
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real V14() real set
(((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) * (a + 1) is ext-real V14() real set
(a |^ 2) + (2 * a) is ext-real V14() real set
((a |^ 2) + (2 * a)) + 1 is ext-real V14() real set
(((a |^ 2) + (2 * a)) + 1) * (a + 1) is ext-real V14() real set
(a |^ 2) * a is ext-real V14() real set
(a |^ 2) * 1 is ext-real V14() real set
((a |^ 2) * a) + ((a |^ 2) * 1) is ext-real V14() real set
(2 * a) * a is ext-real V14() real set
((2 * a) * a) + (2 * a) is ext-real V14() real set
(((a |^ 2) * a) + ((a |^ 2) * 1)) + (((2 * a) * a) + (2 * a)) is ext-real V14() real set
1 * a is ext-real V14() real set
1 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * a) + (1 * 1) is ext-real V14() real set
((((a |^ 2) * a) + ((a |^ 2) * 1)) + (((2 * a) * a) + (2 * a))) + ((1 * a) + (1 * 1)) is ext-real V14() real set
((2 * a) * a) + ((2 * a) * 1) is ext-real V14() real set
(((a |^ 2) * a) + ((a |^ 2) * 1)) + (((2 * a) * a) + ((2 * a) * 1)) is ext-real V14() real set
(1 |^ 2) * a is ext-real V14() real set
((1 |^ 2) * a) + 1 is ext-real V14() real set
((((a |^ 2) * a) + ((a |^ 2) * 1)) + (((2 * a) * a) + ((2 * a) * 1))) + (((1 |^ 2) * a) + 1) is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real V14() real set
(a |^ (2 + 1)) + (a |^ 2) is ext-real V14() real set
((a |^ (2 + 1)) + (a |^ 2)) + (((2 * a) * a) + (2 * a)) is ext-real V14() real set
(((a |^ (2 + 1)) + (a |^ 2)) + (((2 * a) * a) + (2 * a))) + (((1 |^ 2) * a) + 1) is ext-real V14() real set
(a |^ 3) + (a |^ 2) is ext-real V14() real set
a * a is ext-real V14() real set
2 * (a * a) is ext-real V14() real set
(2 * (a * a)) + (2 * a) is ext-real V14() real set
((a |^ 3) + (a |^ 2)) + ((2 * (a * a)) + (2 * a)) is ext-real V14() real set
(1 * a) + 1 is ext-real V14() real set
(((a |^ 3) + (a |^ 2)) + ((2 * (a * a)) + (2 * a))) + ((1 * a) + 1) is ext-real V14() real set
a |^ 1 is ext-real V14() real set
(a |^ 1) * a is ext-real V14() real set
2 * ((a |^ 1) * a) is ext-real V14() real set
(2 * ((a |^ 1) * a)) + (2 * a) is ext-real V14() real set
((a |^ 3) + (a |^ 2)) + ((2 * ((a |^ 1) * a)) + (2 * a)) is ext-real V14() real set
(((a |^ 3) + (a |^ 2)) + ((2 * ((a |^ 1) * a)) + (2 * a))) + (a + 1) is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (1 + 1) is ext-real V14() real set
2 * (a |^ (1 + 1)) is ext-real V14() real set
(2 * (a |^ (1 + 1))) + (2 * a) is ext-real V14() real set
((a |^ 3) + (a |^ 2)) + ((2 * (a |^ (1 + 1))) + (2 * a)) is ext-real V14() real set
(((a |^ 3) + (a |^ 2)) + ((2 * (a |^ (1 + 1))) + (2 * a))) + (a + 1) is ext-real V14() real set
2 * (a |^ 2) is ext-real V14() real set
((a |^ 3) + (a |^ 2)) + (2 * (a |^ 2)) is ext-real V14() real set
(((a |^ 3) + (a |^ 2)) + (2 * (a |^ 2))) + (2 * a) is ext-real V14() real set
((((a |^ 3) + (a |^ 2)) + (2 * (a |^ 2))) + (2 * a)) + (a + 1) is ext-real V14() real set
30 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * ((2 * a) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 2)) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 2)) + (3 * a)) - 1 is ext-real V14() real set
(a * ((2 * a) + 1)) * (((3 * (a |^ 2)) + (3 * a)) - 1) is ext-real V14() real set
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) |^ 3) * 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * ((2 * a) + 1)) * (((3 * (a |^ 2)) + (3 * a)) - 1)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) * ((2 * (a + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((a + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a + 1) |^ 2)) + (3 * (a + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 2)) + (3 * (a + 1))) - 1 is ext-real V14() real set
((a + 2) * ((2 * (a + 1)) + 1)) * (((3 * ((a + 1) |^ 2)) + (3 * (a + 1))) - 1) is ext-real V14() real set
(2 * a) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) * ((2 * a) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * a) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) + ((3 * a) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) + ((3 * a) + 3)) - 1 is ext-real V14() real set
((a + 2) * ((2 * a) + 3)) * (((3 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) + ((3 * a) + 3)) - 1) is ext-real V14() real set
a * (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * (2 * a)) + (2 * (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * 3) + (2 * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (2 * a)) + (2 * (2 * a))) + ((a * 3) + (2 * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + (2 * a)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (((a |^ 2) + (2 * a)) + (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (((a |^ 2) + (2 * a)) + (1 |^ 2))) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (((a |^ 2) + (2 * a)) + (1 |^ 2))) + (3 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (((a |^ 2) + (2 * a)) + (1 |^ 2))) + (3 * a)) + 3) - 1 is ext-real V14() real set
(((a * (2 * a)) + (2 * (2 * a))) + ((a * 3) + (2 * 3))) * ((((3 * (((a |^ 2) + (2 * a)) + (1 |^ 2))) + (3 * a)) + 3) - 1) is ext-real V14() real set
((a |^ 2) + (2 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (((a |^ 2) + (2 * a)) + 1)) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (((a |^ 2) + (2 * a)) + 1)) + (3 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (((a |^ 2) + (2 * a)) + 1)) + (3 * a)) + 3) - 1 is ext-real V14() real set
(((a * (2 * a)) + (2 * (2 * a))) + ((a * 3) + (2 * 3))) * ((((3 * (((a |^ 2) + (2 * a)) + 1)) + (3 * a)) + 3) - 1) is ext-real V14() real set
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * a) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * a) * 2) + ((2 * 2) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * 3) + 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * a) * 2) + ((2 * 2) * a)) + ((a * 3) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * 3) + (6 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) * 3) + (6 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * 3) + (6 * a)) + 3) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * 3) + (6 * a)) + 3) + (3 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * 3) + (6 * a)) + 3) + (3 * a)) + 3) - 1 is ext-real V14() real set
((((a * a) * 2) + ((2 * 2) * a)) + ((a * 3) + 6)) * (((((((a |^ 2) * 3) + (6 * a)) + 3) + (3 * a)) + 3) - 1) is ext-real V14() real set
2 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + (4 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (4 * a)) + ((a * 3) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 2)) + (6 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 2)) + (6 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 2)) + (6 * a)) + 3) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 2)) + (6 * a)) + 3) + (3 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 2)) + (6 * a)) + 3) + (3 * a)) + 3) - 1 is ext-real V14() real set
(((2 * (a |^ 2)) + (4 * a)) + ((a * 3) + 6)) * ((((((3 * (a |^ 2)) + (6 * a)) + 3) + (3 * a)) + 3) - 1) is ext-real V14() real set
(a |^ 2) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a |^ 2) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 2) * (a |^ 2))) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
9 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) * a) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a |^ 2) * (a |^ 2))) * 3) + (((2 * (a |^ 2)) * a) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * ((a |^ 2) * (a |^ 2))) * 3) + (((2 * (a |^ 2)) * a) * 9)) + (10 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * a) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((7 * a) * (a |^ 2)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * a) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((7 * a) * a) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((7 * a) * (a |^ 2)) * 3) + (((7 * a) * a) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((7 * a) * (a |^ 2)) * 3) + (((7 * a) * a) * 9)) + (35 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * ((a |^ 2) * (a |^ 2))) * 3) + (((2 * (a |^ 2)) * a) * 9)) + (10 * (a |^ 2))) + (((((7 * a) * (a |^ 2)) * 3) + (((7 * a) * a) * 9)) + (35 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * 3) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * 9) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * 3) * (a |^ 2)) + ((6 * 9) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * 3) * (a |^ 2)) + ((6 * 9) * a)) + 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((2 * ((a |^ 2) * (a |^ 2))) * 3) + (((2 * (a |^ 2)) * a) * 9)) + (10 * (a |^ 2))) + (((((7 * a) * (a |^ 2)) * 3) + (((7 * a) * a) * 9)) + (35 * a))) + ((((6 * 3) * (a |^ 2)) + ((6 * 9) * a)) + 30) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (2 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 2))) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a |^ 2) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 2) * a)) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 2))) * 3) + ((2 * ((a |^ 2) * a)) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ (2 + 2))) * 3) + ((2 * ((a |^ 2) * a)) * 9)) + (10 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * (a * (a |^ 2))) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * (a * a)) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((7 * (a * (a |^ 2))) * 3) + ((7 * (a * a)) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((7 * (a * (a |^ 2))) * 3) + ((7 * (a * a)) * 9)) + (35 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ (2 + 2))) * 3) + ((2 * ((a |^ 2) * a)) * 9)) + (10 * (a |^ 2))) + ((((7 * (a * (a |^ 2))) * 3) + ((7 * (a * a)) * 9)) + (35 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
54 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
54 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(18 * (a |^ 2)) + (54 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((18 * (a |^ 2)) + (54 * a)) + 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((2 * (a |^ (2 + 2))) * 3) + ((2 * ((a |^ 2) * a)) * 9)) + (10 * (a |^ 2))) + ((((7 * (a * (a |^ 2))) * 3) + ((7 * (a * a)) * 9)) + (35 * a))) + (((18 * (a |^ 2)) + (54 * a)) + 30) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 4)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 1))) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 4)) * 3) + ((2 * (a |^ (2 + 1))) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) * 3) + ((2 * (a |^ (2 + 1))) * 9)) + (10 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) * 3) + ((2 * (a |^ (2 + 1))) * 9)) + (10 * (a |^ 2))) + ((((7 * (a * (a |^ 2))) * 3) + ((7 * (a * a)) * 9)) + (35 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((2 * (a |^ 4)) * 3) + ((2 * (a |^ (2 + 1))) * 9)) + (10 * (a |^ 2))) + ((((7 * (a * (a |^ 2))) * 3) + ((7 * (a * a)) * 9)) + (35 * a))) + (((18 * (a |^ 2)) + (54 * a)) + 30) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 3)) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 4)) + ((2 * (a |^ 3)) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 4)) + ((2 * (a |^ 3)) * 9)) + (10 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * (a |^ (2 + 1))) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((7 * (a |^ (2 + 1))) * 3) + ((7 * (a * a)) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((7 * (a |^ (2 + 1))) * 3) + ((7 * (a * a)) * 9)) + (35 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 4)) + ((2 * (a |^ 3)) * 9)) + (10 * (a |^ 2))) + ((((7 * (a |^ (2 + 1))) * 3) + ((7 * (a * a)) * 9)) + (35 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 4)) + ((2 * (a |^ 3)) * 9)) + (10 * (a |^ 2))) + ((((7 * (a |^ (2 + 1))) * 3) + ((7 * (a * a)) * 9)) + (35 * a))) + (((18 * (a |^ 2)) + (54 * a)) + 30) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 4)) + (18 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 4)) + (18 * (a |^ 3))) + (10 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * (a |^ 3)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(7 * (a |^ 2)) * 9 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((7 * (a |^ 3)) * 3) + ((7 * (a |^ 2)) * 9) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((7 * (a |^ 3)) * 3) + ((7 * (a |^ 2)) * 9)) + (35 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 4)) + (18 * (a |^ 3))) + (10 * (a |^ 2))) + ((((7 * (a |^ 3)) * 3) + ((7 * (a |^ 2)) * 9)) + (35 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 4)) + (18 * (a |^ 3))) + (10 * (a |^ 2))) + ((((7 * (a |^ 3)) * 3) + ((7 * (a |^ 2)) * 9)) + (35 * a))) + (((18 * (a |^ 2)) + (54 * a)) + 30) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
39 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
39 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 4)) + (39 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
73 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
73 + 18 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(73 + 18) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 4)) + (39 * (a |^ 3))) + ((73 + 18) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
89 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
89 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 4)) + (39 * (a |^ 3))) + ((73 + 18) * (a |^ 2))) + (89 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 4)) + (39 * (a |^ 3))) + ((73 + 18) * (a |^ 2))) + (89 * a)) + 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a * a)) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a * a)) + a) * (((3 * (a |^ 2)) + (3 * a)) - 1) is ext-real V14() real set
(((2 * (a * a)) + a) * (((3 * (a |^ 2)) + (3 * a)) - 1)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
a |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 1) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a |^ 1) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 1) * a)) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a |^ 1) * a)) + a) * (((3 * (a |^ 2)) + (3 * a)) - 1) is ext-real V14() real set
(((2 * ((a |^ 1) * a)) + a) * (((3 * (a |^ 2)) + (3 * a)) - 1)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (1 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (1 + 1))) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (1 + 1))) + a) * (((3 * (a |^ 2)) + (3 * a)) - 1) is ext-real V14() real set
(((2 * (a |^ (1 + 1))) + a) * (((3 * (a |^ 2)) + (3 * a)) - 1)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
(a * (a |^ 2)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a |^ 2) * (a |^ 2))) * 3) + ((a * (a |^ 2)) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 2) * a)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * a) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * ((a |^ 2) * (a |^ 2))) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * ((a |^ 2) * (a |^ 2))) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3))) - ((2 * (a |^ 2)) + a) is ext-real V14() real set
(((((2 * ((a |^ 2) * (a |^ 2))) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3))) - ((2 * (a |^ 2)) + a)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
((2 * (a |^ (2 + 2))) * 3) + ((a * (a |^ 2)) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ (2 + 2))) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ (2 + 2))) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3))) - ((2 * (a |^ 2)) + a) is ext-real V14() real set
(((((2 * (a |^ (2 + 2))) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * ((a |^ 2) * a)) * 3) + ((a * a) * 3))) - ((2 * (a |^ 2)) + a)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 1))) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 1))) * 3) + ((a * a) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * (a |^ (2 + 1))) * 3) + ((a * a) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * (a |^ (2 + 1))) * 3) + ((a * a) * 3))) - ((2 * (a |^ 2)) + a) is ext-real V14() real set
(((((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * (a |^ (2 + 1))) * 3) + ((a * a) * 3))) - ((2 * (a |^ 2)) + a)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
(2 * (a |^ 3)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 3)) * 3) + ((a |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * (a |^ 3)) * 3) + ((a |^ 2) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * (a |^ 3)) * 3) + ((a |^ 2) * 3))) - ((2 * (a |^ 2)) + a) is ext-real V14() real set
(((((2 * (a |^ 4)) * 3) + ((a * (a |^ 2)) * 3)) + (((2 * (a |^ 3)) * 3) + ((a |^ 2) * 3))) - ((2 * (a |^ 2)) + a)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
(a |^ (2 + 1)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 4)) + ((a |^ (2 + 1)) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 3)) + ((a |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 4)) + ((a |^ (2 + 1)) * 3)) + ((6 * (a |^ 3)) + ((a |^ 2) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 4)) + ((a |^ (2 + 1)) * 3)) + ((6 * (a |^ 3)) + ((a |^ 2) * 3))) - ((2 * (a |^ 2)) + a) is ext-real V14() real set
((((6 * (a |^ 4)) + ((a |^ (2 + 1)) * 3)) + ((6 * (a |^ 3)) + ((a |^ 2) * 3))) - ((2 * (a |^ 2)) + a)) + (((a + 1) |^ 3) * 30) is ext-real V14() real set
9 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 4)) + (9 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 4)) + (9 * (a |^ 3))) + (1 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 4)) + (9 * (a |^ 3))) + (1 * (a |^ 2))) - a is ext-real V14() real set
(a |^ 3) + (3 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 4)) + (9 * (a |^ 3))) + (1 * (a |^ 2))) - a) + (((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * 30) is ext-real V14() real set
91 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
91 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 4)) + (39 * (a |^ 3))) + (91 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
90 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
90 - 1 is ext-real V14() real set
(90 - 1) * a is ext-real V14() real set
(((6 * (a |^ 4)) + (39 * (a |^ 3))) + (91 * (a |^ 2))) + ((90 - 1) * a) is ext-real V14() real set
((((6 * (a |^ 4)) + (39 * (a |^ 3))) + (91 * (a |^ 2))) + ((90 - 1) * a)) + 30 is ext-real V14() real set
6 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
5 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real V14() real set
a + 1 is ext-real V14() real set
(a + 1) |^ 4 is ext-real V14() real set
a |^ 4 is ext-real V14() real set
a |^ 3 is ext-real V14() real set
4 * (a |^ 3) is ext-real V14() real set
(a |^ 4) + (4 * (a |^ 3)) is ext-real V14() real set
a |^ 2 is ext-real V14() real set
6 * (a |^ 2) is ext-real V14() real set
((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2)) is ext-real V14() real set
4 * a is ext-real V14() real set
(((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a) is ext-real V14() real set
((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1 is ext-real V14() real set
(a + 1) |^ 5 is ext-real V14() real set
a |^ 5 is ext-real V14() real set
5 * (a |^ 4) is ext-real V14() real set
(a |^ 5) + (5 * (a |^ 4)) is ext-real V14() real set
10 * (a |^ 3) is ext-real V14() real set
((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3)) is ext-real V14() real set
10 * (a |^ 2) is ext-real V14() real set
(((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2)) is ext-real V14() real set
5 * a is ext-real V14() real set
((((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2))) + (5 * a) is ext-real V14() real set
(((((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2))) + (5 * a)) + 1 is ext-real V14() real set
3 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ (3 + 1) is ext-real V14() real set
(a + 1) |^ 3 is ext-real V14() real set
((a + 1) |^ 3) * (a + 1) is ext-real V14() real set
3 * (a |^ 2) is ext-real V14() real set
(a |^ 3) + (3 * (a |^ 2)) is ext-real V14() real set
3 * a is ext-real V14() real set
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real V14() real set
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real V14() real set
((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * (a + 1) is ext-real V14() real set
(a |^ 3) * a is ext-real V14() real set
((a |^ 3) * a) + (a |^ 3) is ext-real V14() real set
(a |^ 2) * a is ext-real V14() real set
3 * ((a |^ 2) * a) is ext-real V14() real set
(3 * ((a |^ 2) * a)) + (3 * (a |^ 2)) is ext-real V14() real set
(((a |^ 3) * a) + (a |^ 3)) + ((3 * ((a |^ 2) * a)) + (3 * (a |^ 2))) is ext-real V14() real set
a * a is ext-real V14() real set
3 * (a * a) is ext-real V14() real set
(3 * (a * a)) + (3 * a) is ext-real V14() real set
((((a |^ 3) * a) + (a |^ 3)) + ((3 * ((a |^ 2) * a)) + (3 * (a |^ 2)))) + ((3 * (a * a)) + (3 * a)) is ext-real V14() real set
(((((a |^ 3) * a) + (a |^ 3)) + ((3 * ((a |^ 2) * a)) + (3 * (a |^ 2)))) + ((3 * (a * a)) + (3 * a))) + (a + 1) is ext-real V14() real set
a |^ (3 + 1) is ext-real V14() real set
(a |^ (3 + 1)) + (a |^ 3) is ext-real V14() real set
((a |^ (3 + 1)) + (a |^ 3)) + ((3 * ((a |^ 2) * a)) + (3 * (a |^ 2))) is ext-real V14() real set
(((a |^ (3 + 1)) + (a |^ 3)) + ((3 * ((a |^ 2) * a)) + (3 * (a |^ 2)))) + ((3 * (a * a)) + (3 * a)) is ext-real V14() real set
((((a |^ (3 + 1)) + (a |^ 3)) + ((3 * ((a |^ 2) * a)) + (3 * (a |^ 2)))) + ((3 * (a * a)) + (3 * a))) + (a + 1) is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real V14() real set
3 * (a |^ (2 + 1)) is ext-real V14() real set
(3 * (a |^ (2 + 1))) + (3 * (a |^ 2)) is ext-real V14() real set
((a |^ (3 + 1)) + (a |^ 3)) + ((3 * (a |^ (2 + 1))) + (3 * (a |^ 2))) is ext-real V14() real set
(((a |^ (3 + 1)) + (a |^ 3)) + ((3 * (a |^ (2 + 1))) + (3 * (a |^ 2)))) + ((3 * (a * a)) + (3 * a)) is ext-real V14() real set
((((a |^ (3 + 1)) + (a |^ 3)) + ((3 * (a |^ (2 + 1))) + (3 * (a |^ 2)))) + ((3 * (a * a)) + (3 * a))) + (a + 1) is ext-real V14() real set
(a |^ 4) + (a |^ 3) is ext-real V14() real set
3 * (a |^ 3) is ext-real V14() real set
(3 * (a |^ 3)) + (3 * (a |^ 2)) is ext-real V14() real set
((a |^ 4) + (a |^ 3)) + ((3 * (a |^ 3)) + (3 * (a |^ 2))) is ext-real V14() real set
(3 * (a |^ 2)) + (3 * a) is ext-real V14() real set
(((a |^ 4) + (a |^ 3)) + ((3 * (a |^ 3)) + (3 * (a |^ 2)))) + ((3 * (a |^ 2)) + (3 * a)) is ext-real V14() real set
((((a |^ 4) + (a |^ 3)) + ((3 * (a |^ 3)) + (3 * (a |^ 2)))) + ((3 * (a |^ 2)) + (3 * a))) + (a + 1) is ext-real V14() real set
3 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ (3 + 2) is ext-real V14() real set
(a + 1) |^ 2 is ext-real V14() real set
((a + 1) |^ 3) * ((a + 1) |^ 2) is ext-real V14() real set
((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * ((a + 1) |^ 2) is ext-real V14() real set
2 * a is ext-real V14() real set
(2 * a) * 1 is ext-real V14() real set
(a |^ 2) + ((2 * a) * 1) is ext-real V14() real set
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real V14() real set
((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real V14() real set
(a |^ 2) + (2 * a) is ext-real V14() real set
((a |^ 2) + (2 * a)) + 1 is ext-real V14() real set
((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
(a |^ 3) * (a |^ 2) is ext-real V14() real set
(2 * a) * (a |^ 3) is ext-real V14() real set
((a |^ 3) * (a |^ 2)) + ((2 * a) * (a |^ 3)) is ext-real V14() real set
(a |^ 3) * 1 is ext-real V14() real set
(((a |^ 3) * (a |^ 2)) + ((2 * a) * (a |^ 3))) + ((a |^ 3) * 1) is ext-real V14() real set
(3 * (a |^ 2)) * (a |^ 2) is ext-real V14() real set
(2 * a) * (3 * (a |^ 2)) is ext-real V14() real set
((3 * (a |^ 2)) * (a |^ 2)) + ((2 * a) * (3 * (a |^ 2))) is ext-real V14() real set
(3 * (a |^ 2)) * 1 is ext-real V14() real set
(((3 * (a |^ 2)) * (a |^ 2)) + ((2 * a) * (3 * (a |^ 2)))) + ((3 * (a |^ 2)) * 1) is ext-real V14() real set
((((a |^ 3) * (a |^ 2)) + ((2 * a) * (a |^ 3))) + ((a |^ 3) * 1)) + ((((3 * (a |^ 2)) * (a |^ 2)) + ((2 * a) * (3 * (a |^ 2)))) + ((3 * (a |^ 2)) * 1)) is ext-real V14() real set
(3 * a) * (a |^ 2) is ext-real V14() real set
(3 * a) * (2 * a) is ext-real V14() real set
((3 * a) * (a |^ 2)) + ((3 * a) * (2 * a)) is ext-real V14() real set
(3 * a) * 1 is ext-real V14() real set
(((3 * a) * (a |^ 2)) + ((3 * a) * (2 * a))) + ((3 * a) * 1) is ext-real V14() real set
(((((a |^ 3) * (a |^ 2)) + ((2 * a) * (a |^ 3))) + ((a |^ 3) * 1)) + ((((3 * (a |^ 2)) * (a |^ 2)) + ((2 * a) * (3 * (a |^ 2)))) + ((3 * (a |^ 2)) * 1))) + ((((3 * a) * (a |^ 2)) + ((3 * a) * (2 * a))) + ((3 * a) * 1)) is ext-real V14() real set
((((((a |^ 3) * (a |^ 2)) + ((2 * a) * (a |^ 3))) + ((a |^ 3) * 1)) + ((((3 * (a |^ 2)) * (a |^ 2)) + ((2 * a) * (3 * (a |^ 2)))) + ((3 * (a |^ 2)) * 1))) + ((((3 * a) * (a |^ 2)) + ((3 * a) * (2 * a))) + ((3 * a) * 1))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
a |^ (3 + 2) is ext-real V14() real set
a * (a |^ 3) is ext-real V14() real set
2 * (a * (a |^ 3)) is ext-real V14() real set
(a |^ (3 + 2)) + (2 * (a * (a |^ 3))) is ext-real V14() real set
((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3) is ext-real V14() real set
(a |^ 2) * (a |^ 2) is ext-real V14() real set
3 * ((a |^ 2) * (a |^ 2)) is ext-real V14() real set
a * (a |^ 2) is ext-real V14() real set
2 * (a * (a |^ 2)) is ext-real V14() real set
(2 * (a * (a |^ 2))) * 3 is ext-real V14() real set
(3 * ((a |^ 2) * (a |^ 2))) + ((2 * (a * (a |^ 2))) * 3) is ext-real V14() real set
((3 * ((a |^ 2) * (a |^ 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)) is ext-real V14() real set
(((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3)) + (((3 * ((a |^ 2) * (a |^ 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2))) is ext-real V14() real set
3 * (a * (a |^ 2)) is ext-real V14() real set
(3 * (a * a)) * 2 is ext-real V14() real set
(3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2) is ext-real V14() real set
((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a) is ext-real V14() real set
((((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3)) + (((3 * ((a |^ 2) * (a |^ 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a)) is ext-real V14() real set
(((((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3)) + (((3 * ((a |^ 2) * (a |^ 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 2) is ext-real V14() real set
3 * (a |^ (2 + 2)) is ext-real V14() real set
(3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3) is ext-real V14() real set
((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)) is ext-real V14() real set
(((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2))) is ext-real V14() real set
((((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a)) is ext-real V14() real set
(((((a |^ (3 + 2)) + (2 * (a * (a |^ 3)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 * (a |^ (3 + 1)) is ext-real V14() real set
(a |^ (3 + 2)) + (2 * (a |^ (3 + 1))) is ext-real V14() real set
((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3) is ext-real V14() real set
(((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2))) is ext-real V14() real set
((((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a)) is ext-real V14() real set
(((((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a * (a |^ 2))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 * (a |^ (2 + 1)) is ext-real V14() real set
(2 * (a |^ (2 + 1))) * 3 is ext-real V14() real set
(3 * (a |^ (2 + 2))) + ((2 * (a |^ (2 + 1))) * 3) is ext-real V14() real set
((3 * (a |^ (2 + 2))) + ((2 * (a |^ (2 + 1))) * 3)) + (3 * (a |^ 2)) is ext-real V14() real set
(((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a |^ (2 + 1))) * 3)) + (3 * (a |^ 2))) is ext-real V14() real set
((((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a |^ (2 + 1))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a)) is ext-real V14() real set
(((((a |^ (3 + 2)) + (2 * (a |^ (3 + 1)))) + (a |^ 3)) + (((3 * (a |^ (2 + 2))) + ((2 * (a |^ (2 + 1))) * 3)) + (3 * (a |^ 2)))) + (((3 * (a * (a |^ 2))) + ((3 * (a * a)) * 2)) + (3 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 * (a |^ 4) is ext-real V14() real set
(a |^ 5) + (2 * (a |^ 4)) is ext-real V14() real set
((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3) is ext-real V14() real set
3 * (a |^ 4) is ext-real V14() real set
2 * (a |^ 3) is ext-real V14() real set
(2 * (a |^ 3)) * 3 is ext-real V14() real set
(3 * (a |^ 4)) + ((2 * (a |^ 3)) * 3) is ext-real V14() real set
((3 * (a |^ 4)) + ((2 * (a |^ 3)) * 3)) + (3 * (a |^ 2)) is ext-real V14() real set
(((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3)) + (((3 * (a |^ 4)) + ((2 * (a |^ 3)) * 3)) + (3 * (a |^ 2))) is ext-real V14() real set
(3 * (a |^ 3)) + ((3 * (a * a)) * 2) is ext-real V14() real set
((3 * (a |^ 3)) + ((3 * (a * a)) * 2)) + (3 * a) is ext-real V14() real set
((((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3)) + (((3 * (a |^ 4)) + ((2 * (a |^ 3)) * 3)) + (3 * (a |^ 2)))) + (((3 * (a |^ 3)) + ((3 * (a * a)) * 2)) + (3 * a)) is ext-real V14() real set
(((((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3)) + (((3 * (a |^ 4)) + ((2 * (a |^ 3)) * 3)) + (3 * (a |^ 2)))) + (((3 * (a |^ 3)) + ((3 * (a * a)) * 2)) + (3 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
6 * (a |^ 3) is ext-real V14() real set
(3 * (a |^ 4)) + (6 * (a |^ 3)) is ext-real V14() real set
((3 * (a |^ 4)) + (6 * (a |^ 3))) + (3 * (a |^ 2)) is ext-real V14() real set
(((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3)) + (((3 * (a |^ 4)) + (6 * (a |^ 3))) + (3 * (a |^ 2))) is ext-real V14() real set
(3 * (a |^ 2)) * 2 is ext-real V14() real set
(3 * (a |^ 3)) + ((3 * (a |^ 2)) * 2) is ext-real V14() real set
((3 * (a |^ 3)) + ((3 * (a |^ 2)) * 2)) + (3 * a) is ext-real V14() real set
((((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3)) + (((3 * (a |^ 4)) + (6 * (a |^ 3))) + (3 * (a |^ 2)))) + (((3 * (a |^ 3)) + ((3 * (a |^ 2)) * 2)) + (3 * a)) is ext-real V14() real set
(((((a |^ 5) + (2 * (a |^ 4))) + (a |^ 3)) + (((3 * (a |^ 4)) + (6 * (a |^ 3))) + (3 * (a |^ 2)))) + (((3 * (a |^ 3)) + ((3 * (a |^ 2)) * 2)) + (3 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
a is ext-real V14() real set
a + 1 is ext-real V14() real set
(a + 1) |^ 3 is ext-real V14() real set
a |^ 3 is ext-real V14() real set
a |^ 2 is ext-real V14() real set
3 * (a |^ 2) is ext-real V14() real set
(a |^ 3) + (3 * (a |^ 2)) is ext-real V14() real set
3 * a is ext-real V14() real set
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real V14() real set
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real V14() real set
b is ext-real V14() real set
b + 1 is ext-real V14() real set
(b + 1) |^ 4 is ext-real V14() real set
b |^ 4 is ext-real V14() real set
b |^ 3 is ext-real V14() real set
4 * (b |^ 3) is ext-real V14() real set
(b |^ 4) + (4 * (b |^ 3)) is ext-real V14() real set
b |^ 2 is ext-real V14() real set
6 * (b |^ 2) is ext-real V14() real set
((b |^ 4) + (4 * (b |^ 3))) + (6 * (b |^ 2)) is ext-real V14() real set
4 * b is ext-real V14() real set
(((b |^ 4) + (4 * (b |^ 3))) + (6 * (b |^ 2))) + (4 * b) is ext-real V14() real set
((((b |^ 4) + (4 * (b |^ 3))) + (6 * (b |^ 2))) + (4 * b)) + 1 is ext-real V14() real set
s is ext-real V14() real set
s + 1 is ext-real V14() real set
(s + 1) |^ 5 is ext-real V14() real set
s |^ 5 is ext-real V14() real set
s |^ 4 is ext-real V14() real set
5 * (s |^ 4) is ext-real V14() real set
(s |^ 5) + (5 * (s |^ 4)) is ext-real V14() real set
s |^ 3 is ext-real V14() real set
10 * (s |^ 3) is ext-real V14() real set
((s |^ 5) + (5 * (s |^ 4))) + (10 * (s |^ 3)) is ext-real V14() real set
s |^ 2 is ext-real V14() real set
10 * (s |^ 2) is ext-real V14() real set
(((s |^ 5) + (5 * (s |^ 4))) + (10 * (s |^ 3))) + (10 * (s |^ 2)) is ext-real V14() real set
5 * s is ext-real V14() real set
((((s |^ 5) + (5 * (s |^ 4))) + (10 * (s |^ 3))) + (10 * (s |^ 2))) + (5 * s) is ext-real V14() real set
(((((s |^ 5) + (5 * (s |^ 4))) + (10 * (s |^ 3))) + (10 * (s |^ 2))) + (5 * s)) + 1 is ext-real V14() real set
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (a + 2) is ext-real V14() real Element of COMPLEX
1 - (1 / (a + 2)) is ext-real V14() real set
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) / (a + 2) is ext-real V14() real Element of COMPLEX
(a + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((a + 1) !) is ext-real V14() real Element of COMPLEX
((a + 1) !) * (a + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) / (((a + 1) !) * (a + 2)) is ext-real V14() real Element of COMPLEX
(a + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (a + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (a + 2)) / (((a + 1) !) * (a + 2)) is ext-real V14() real Element of COMPLEX
(a + 2) - 1 is ext-real V14() real set
((a + 2) - 1) / (a + 2) is ext-real V14() real Element of COMPLEX
(a + 2) / (a + 2) is ext-real V14() real Element of COMPLEX
((a + 2) / (a + 2)) - (1 / (a + 2)) is ext-real V14() real Element of COMPLEX
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (a + 1) is ext-real V14() real Element of COMPLEX
a + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) * (a + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / ((a + 1) * (a + 3)) is ext-real V14() real Element of COMPLEX
(1 / (a + 1)) - (2 / ((a + 1) * (a + 3))) is ext-real V14() real Element of COMPLEX
1 / (a + 3) is ext-real V14() real Element of COMPLEX
(a + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (a + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (a + 3)) / ((a + 1) * (a + 3)) is ext-real V14() real Element of COMPLEX
((1 * (a + 3)) / ((a + 1) * (a + 3))) - (2 / ((a + 1) * (a + 3))) is ext-real V14() real Element of COMPLEX
(a + 3) - 2 is ext-real V14() real set
((a + 3) - 2) / ((a + 1) * (a + 3)) is ext-real V14() real Element of COMPLEX
(a + 1) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) * 1) / ((a + 1) * (a + 3)) is ext-real V14() real Element of COMPLEX
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (a + 1) is ext-real V14() real Element of COMPLEX
a + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) * (a + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((a + 1) * (a + 4)) is ext-real V14() real Element of COMPLEX
(1 / (a + 1)) - (3 / ((a + 1) * (a + 4))) is ext-real V14() real Element of COMPLEX
1 / (a + 4) is ext-real V14() real Element of COMPLEX
(a + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 3) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (a + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (a + 4)) / ((a + 1) * (a + 4)) is ext-real V14() real Element of COMPLEX
((1 * (a + 4)) / ((a + 1) * (a + 4))) - (3 / ((a + 1) * (a + 4))) is ext-real V14() real Element of COMPLEX
(a + 4) - 3 is ext-real V14() real set
((a + 4) - 3) / ((a + 1) * (a + 4)) is ext-real V14() real Element of COMPLEX
(a + 1) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) * 1) / ((a + 1) * (a + 4)) is ext-real V14() real Element of COMPLEX
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + (3 * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) * (a + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) + (1 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * a) + ((2 * a) + (1 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * a) + ((2 * a) + (1 * a))) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 1) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 + 1) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 1) * a) + ((2 + 1) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 1) * a) + ((2 + 1) * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ (1 + 1)) + ((2 + 1) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ (1 + 1)) + ((2 + 1) * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
11 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (4 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
11 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * (4 * (a |^ 2))) + (11 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (4 * (a |^ 2))) + (11 * a)) + (12 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * (4 * (a |^ 2))) + (11 * a)) + (12 * (a |^ 2))) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((a + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((a + 1) |^ 2)) - 1 is ext-real V14() real set
(a + 1) * ((4 * ((a + 1) |^ 2)) - 1) is ext-real V14() real set
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - 1 is ext-real V14() real set
(a + 1) * ((4 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - 1) is ext-real V14() real set
(a |^ 2) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + (2 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (((a |^ 2) + (2 * a)) + 1)) - 1 is ext-real V14() real set
(a + 1) * ((4 * (((a |^ 2) + (2 * a)) + 1)) - 1) is ext-real V14() real set
(a * (4 * (a |^ 2))) + (4 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(8 * (a * a)) + (8 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (4 * (a |^ 2))) + (4 * (a |^ 2))) + ((8 * (a * a)) + (8 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * a) + (3 * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * (4 * (a |^ 2))) + (4 * (a |^ 2))) + ((8 * (a * a)) + (8 * a))) + ((3 * a) + (3 * 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(8 * (a |^ 2)) + (8 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (4 * (a |^ 2))) + (4 * (a |^ 2))) + ((8 * (a |^ 2)) + (8 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * (4 * (a |^ 2))) + (4 * (a |^ 2))) + ((8 * (a |^ 2)) + (8 * a))) + ((3 * a) + (3 * 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (a |^ 2)) + (8 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * (4 * (a |^ 2))) + ((4 * (a |^ 2)) + (8 * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(8 * a) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (4 * (a |^ 2))) + ((4 * (a |^ 2)) + (8 * (a |^ 2)))) + ((8 * a) + (3 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * (4 * (a |^ 2))) + ((4 * (a |^ 2)) + (8 * (a |^ 2)))) + ((8 * a) + (3 * a))) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 - 1 is ext-real V14() real set
8 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a + 1) |^ 2)) - 1 is ext-real V14() real set
((a + 1) |^ 2) * ((2 * ((a + 1) |^ 2)) - 1) is ext-real V14() real set
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * (a |^ 2)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 - 1) * (a |^ 2) is ext-real V14() real set
(((a |^ 2) * (a |^ 2)) * 2) + ((12 - 1) * (a |^ 2)) is ext-real V14() real set
a |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) * 2) + ((12 - 1) * (a |^ 2))) + (8 * (a |^ 3)) is ext-real V14() real set
6 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) * 2) + ((12 - 1) * (a |^ 2))) + (8 * (a |^ 3))) + (6 * a) is ext-real V14() real set
((((((a |^ 2) * (a |^ 2)) * 2) + ((12 - 1) * (a |^ 2))) + (8 * (a |^ 3))) + (6 * a)) + 1 is ext-real V14() real set
((a + 1) |^ 2) * (2 * ((a + 1) |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) |^ 2) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a + 1) |^ 2) * (2 * ((a + 1) |^ 2))) - (((a + 1) |^ 2) * 1) is ext-real V14() real set
((a + 1) |^ 2) * ((a + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a + 1) |^ 2) * ((a + 1) |^ 2)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a + 1) |^ 2) * ((a + 1) |^ 2)) * 2) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real V14() real set
(a |^ 2) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + (2 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a + 1) |^ 2) * ((a + 1) |^ 2)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
((a + 1) |^ 2) * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a + 1) |^ 2) * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a + 1) |^ 2) * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
((a |^ 2) + (2 * a)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) * (((a |^ 2) + (2 * a)) + (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) * (((a |^ 2) + (2 * a)) + (1 |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) * (((a |^ 2) + (2 * a)) + (1 |^ 2))) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
(((a |^ 2) + (2 * a)) + (1 |^ 2)) * (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) + (2 * a)) + (1 |^ 2)) * (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) + (2 * a)) + (1 |^ 2)) * (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
(((a |^ 2) + (2 * a)) + 1) * (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) + (2 * a)) + 1) * (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) + (2 * a)) + 1) * (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
(2 * a) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * (a |^ 2)) + ((2 * a) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) * (a |^ 2)) + ((2 * a) * (a |^ 2))) + (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * a) * a) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * a) * (a |^ 2)) + (((2 * a) * a) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * a) * (a |^ 2)) + (((2 * a) * a) * 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) + ((2 * a) * (a |^ 2))) + (a |^ 2)) + ((((2 * a) * (a |^ 2)) + (((2 * a) * a) * 2)) + (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) + ((2 * a) * (a |^ 2))) + (a |^ 2)) + ((((2 * a) * (a |^ 2)) + (((2 * a) * a) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * (a |^ 2)) + ((2 * a) * (a |^ 2))) + (a |^ 2)) + ((((2 * a) * (a |^ 2)) + (((2 * a) * a) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((((a |^ 2) * (a |^ 2)) + ((2 * a) * (a |^ 2))) + (a |^ 2)) + ((((2 * a) * (a |^ 2)) + (((2 * a) * a) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a * a)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a * (a |^ 2))) + ((2 * (a * a)) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a * (a |^ 2))) + ((2 * (a * a)) * 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a * (a |^ 2))) + ((2 * (a * a)) * 2)) + (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a * (a |^ 2))) + ((2 * (a * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a * (a |^ 2))) + ((2 * (a * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a * (a |^ 2))) + ((2 * (a * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
(2 * (a |^ (2 + 1))) + ((2 * (a * a)) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 1))) + ((2 * (a * a)) * 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a |^ (2 + 1))) + ((2 * (a * a)) * 2)) + (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a |^ (2 + 1))) + ((2 * (a * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a |^ (2 + 1))) + ((2 * (a * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ (2 + 1)))) + (a |^ 2)) + (((2 * (a |^ (2 + 1))) + ((2 * (a * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 1) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a |^ 1) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 1) * a)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 3)) + ((2 * ((a |^ 1) * a)) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 3)) + ((2 * ((a |^ 1) * a)) * 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * ((a |^ 1) * a)) * 2)) + (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * ((a |^ 1) * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * ((a |^ 1) * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * ((a |^ 1) * a)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (1 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (1 + 1))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 3)) + ((2 * (a |^ (1 + 1))) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 3)) + ((2 * (a |^ (1 + 1))) * 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ (1 + 1))) * 2)) + (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ (1 + 1))) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ (1 + 1))) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ (1 + 1))) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
2 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 3)) + ((2 * (a |^ 2)) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 3)) + ((2 * (a |^ 2)) * 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ 2)) * 2)) + (2 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ 2)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ 2)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((((a |^ 2) * (a |^ 2)) + (2 * (a |^ 3))) + (a |^ 2)) + (((2 * (a |^ 3)) + ((2 * (a |^ 2)) * 2)) + (2 * a))) + (((a |^ 2) + (2 * a)) + 1)) * 2) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
7 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) |^ 2) + (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a + 1) |^ 2) + (a + 1)) - 1 is ext-real V14() real set
(a + 2) * ((((a + 1) |^ 2) + (a + 1)) - 1) is ext-real V14() real set
a |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
5 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) + (5 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 3) + (5 * (a |^ 2))) + (7 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 3) + (5 * (a |^ 2))) + (7 * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) + (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) + (a + 1)) - 1 is ext-real V14() real set
(a + 2) * (((((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) + (a + 1)) - 1) is ext-real V14() real set
((a |^ 2) + ((2 * a) * 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) + ((2 * a) * 1)) + 1) + (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 2) + ((2 * a) * 1)) + 1) + (a + 1)) - 1 is ext-real V14() real set
(a + 2) * (((((a |^ 2) + ((2 * a) * 1)) + 1) + (a + 1)) - 1) is ext-real V14() real set
a * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * (a |^ 2)) + (2 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a * a))) + (6 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a * a))) + (6 * a)) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a * a))) + (6 * a)) + a) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a |^ 2))) + (6 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a |^ 2))) + (6 * a)) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a * (a |^ 2)) + (2 * (a |^ 2))) + (3 * (a |^ 2))) + (6 * a)) + a) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ (2 + 1)) + (2 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ (2 + 1)) + (2 * (a |^ 2))) + (3 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ (2 + 1)) + (2 * (a |^ 2))) + (3 * (a |^ 2))) + (6 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ (2 + 1)) + (2 * (a |^ 2))) + (3 * (a |^ 2))) + (6 * a)) + a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ (2 + 1)) + (2 * (a |^ 2))) + (3 * (a |^ 2))) + (6 * a)) + a) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 + 3) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ (2 + 1)) + ((2 + 3) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 + 1) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ (2 + 1)) + ((2 + 3) * (a |^ 2))) + ((6 + 1) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ (2 + 1)) + ((2 + 3) * (a |^ 2))) + ((6 + 1) * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real V14() real set
b is ext-real V14() real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
n is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is ext-real V14() real Element of REAL
n + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (n + 1) is ext-real V14() real set
(a * (n + 1)) * n is ext-real V14() real set
((a * (n + 1)) * n) / 2 is ext-real V14() real Element of COMPLEX
n * b is ext-real V14() real set
(((a * (n + 1)) * n) / 2) + (n * b) is ext-real V14() real set
((((a * (n + 1)) * n) / 2) + (n * b)) + b is ext-real V14() real set
(Partial_Sums s) . (n + 1) is ext-real V14() real Element of REAL
(n + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * ((n + 1) + 1) is ext-real V14() real set
(a * ((n + 1) + 1)) * (n + 1) is ext-real V14() real set
((a * ((n + 1) + 1)) * (n + 1)) / 2 is ext-real V14() real Element of COMPLEX
(n + 1) * b is ext-real V14() real set
(((a * ((n + 1) + 1)) * (n + 1)) / 2) + ((n + 1) * b) is ext-real V14() real set
((((a * ((n + 1) + 1)) * (n + 1)) / 2) + ((n + 1) * b)) + b is ext-real V14() real set
s . (n + 1) is ext-real V14() real Element of REAL
(((((a * (n + 1)) * n) / 2) + (n * b)) + b) + (s . (n + 1)) is ext-real V14() real set
(a * (n + 1)) + b is ext-real V14() real set
(((((a * (n + 1)) * n) / 2) + (n * b)) + b) + ((a * (n + 1)) + b) is ext-real V14() real set
n + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a * (n + 1)) * (n + 2) is ext-real V14() real set
((a * (n + 1)) * (n + 2)) / 2 is ext-real V14() real Element of COMPLEX
(((a * (n + 1)) * (n + 2)) / 2) + ((n + 1) * b) is ext-real V14() real set
((((a * (n + 1)) * (n + 2)) / 2) + ((n + 1) * b)) + b is ext-real V14() real set
(Partial_Sums s) . 0 is ext-real V14() real Element of REAL
s . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (0 + 1) is ext-real V14() real set
(a * (0 + 1)) * 0 is ext-real V14() real set
((a * (0 + 1)) * 0) / 2 is ext-real V14() real Element of COMPLEX
0 * b is ext-real V14() real set
(((a * (0 + 1)) * 0) / 2) + (0 * b) is ext-real V14() real set
((((a * (0 + 1)) * 0) / 2) + (0 * b)) + b is ext-real V14() real set
n is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is ext-real V14() real Element of REAL
n + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (n + 1) is ext-real V14() real set
(a * (n + 1)) * n is ext-real V14() real set
((a * (n + 1)) * n) / 2 is ext-real V14() real Element of COMPLEX
n * b is ext-real V14() real set
(((a * (n + 1)) * n) / 2) + (n * b) is ext-real V14() real set
((((a * (n + 1)) * n) / 2) + (n * b)) + b is ext-real V14() real set
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) / 2 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) / 2 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((b * (b + 1)) / 2) + (a . (b + 1)) is ext-real V14() real set
((b * (b + 1)) / 2) + (b + 1) is ext-real V14() real set
(b + 1) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) + ((b + 1) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) + ((b + 1) * 2)) / 2 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) / 2 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) / 2 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(b * (b + 1)) + (a . (b + 1)) is ext-real V14() real set
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) + (2 * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
((b + 1) |^ 2) + (a . (b + 1)) is ext-real V14() real set
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) + ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) + (2 * b)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + ((2 * b) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) + (2 * b)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + (2 * b)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) + (2 * b)) + 1) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) + (2 * b)) + 1) + (2 * b)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + ((2 * b) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + ((2 * b) * 2)) + (2 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) / 3 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) / 3 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
(((b * (b + 1)) * (b + 2)) / 3) + (a . (b + 1)) is ext-real V14() real set
(((b * (b + 1)) * (b + 2)) / 3) + ((b + 1) * ((b + 1) + 1)) is ext-real V14() real set
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) / 3 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * (0 + 2)) / 3 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) / 3 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * (b + 3)) / 4 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) / 4 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((b * (b + 1)) * (b + 2)) * (b + 3)) / 4) + (a . (b + 1)) is ext-real V14() real set
((((b * (b + 1)) * (b + 2)) * (b + 3)) / 4) + (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) is ext-real V14() real set
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * (0 + 2)) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) / 4 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * (b + 3)) / 4 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) / 5 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) * ((b + 1) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) * ((b + 1) + 4)) / 5 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
(((((b * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) / 5) + (a . (b + 1)) is ext-real V14() real set
(((((b * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) / 5) + ((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real set
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * (b + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * (b + 5)) / 5 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * (0 + 2)) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) * (0 + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) * (0 + 4)) / 4 is ext-real V14() real Element of COMPLEX
((((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) * (0 + 4)) / 5 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) / 5 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (b + 1) is ext-real V14() real Element of COMPLEX
1 - (1 / (b + 1)) is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) + 1) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) + 1)) is ext-real V14() real set
a . (b + 1) is ext-real V14() real Element of REAL
(1 - (1 / (b + 1))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) * ((b + 1) + 1)) is ext-real V14() real Element of COMPLEX
(1 - (1 / (b + 1))) + (1 / ((b + 1) * ((b + 1) + 1))) is ext-real V14() real set
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) * (b + 2)) is ext-real V14() real Element of COMPLEX
(1 / (b + 1)) - (1 / ((b + 1) * (b + 2))) is ext-real V14() real Element of COMPLEX
1 - ((1 / (b + 1)) - (1 / ((b + 1) * (b + 2)))) is ext-real V14() real set
1 * (1 / (b + 1)) is ext-real V14() real set
1 / (b + 2) is ext-real V14() real Element of COMPLEX
(1 / (b + 1)) * (1 / (b + 2)) is ext-real V14() real Element of COMPLEX
(1 * (1 / (b + 1))) - ((1 / (b + 1)) * (1 / (b + 2))) is ext-real V14() real set
1 - ((1 * (1 / (b + 1))) - ((1 / (b + 1)) * (1 / (b + 2)))) is ext-real V14() real set
1 - (1 / (b + 2)) is ext-real V14() real set
(1 / (b + 1)) * (1 - (1 / (b + 2))) is ext-real V14() real set
1 - ((1 / (b + 1)) * (1 - (1 / (b + 2)))) is ext-real V14() real set
1 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b + 2)) - 1 is ext-real V14() real set
((1 * (b + 2)) - 1) / (b + 2) is ext-real V14() real Element of COMPLEX
(1 / (b + 1)) * (((1 * (b + 2)) - 1) / (b + 2)) is ext-real V14() real Element of COMPLEX
1 - ((1 / (b + 1)) * (((1 * (b + 2)) - 1) / (b + 2))) is ext-real V14() real set
(1 / (b + 1)) * (b + 1) is ext-real V14() real set
((1 / (b + 1)) * (b + 1)) / (b + 2) is ext-real V14() real Element of COMPLEX
1 - (((1 / (b + 1)) * (b + 1)) / (b + 2)) is ext-real V14() real set
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (0 * (0 + 1)) is ext-real V14() real Element of COMPLEX
1 / 1 is ext-real V14() real Element of COMPLEX
1 - (1 / 1) is ext-real V14() real set
1 / (0 + 1) is ext-real V14() real Element of COMPLEX
1 - (1 / (0 + 1)) is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (b + 1) is ext-real V14() real Element of COMPLEX
1 - (1 / (b + 1)) is ext-real V14() real set
1 / 4 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (b + 1)) * (b + 2)) is ext-real V14() real Element of COMPLEX
(1 / 4) - (1 / ((2 * (b + 1)) * (b + 2))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
(1 / 4) - (1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((1 / 4) - (1 / ((2 * (b + 1)) * (b + 2)))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
((1 / 4) - (1 / ((2 * (b + 1)) * (b + 2)))) + (1 / (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(1 / ((2 * (b + 1)) * (b + 2))) - (1 / (((b + 1) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(1 / 4) - ((1 / ((2 * (b + 1)) * (b + 2))) - (1 / (((b + 1) * (b + 2)) * (b + 3)))) is ext-real V14() real Element of COMPLEX
2 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 2)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (b + 2)) * (b + 1)) is ext-real V14() real Element of COMPLEX
1 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (b + 1)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 2) * (b + 1)) * (b + 3)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) / ((((b + 2) * (b + 1)) * (b + 3)) * 2) is ext-real V14() real Element of COMPLEX
(1 / ((2 * (b + 2)) * (b + 1))) - ((1 * 2) / ((((b + 2) * (b + 1)) * (b + 3)) * 2)) is ext-real V14() real Element of COMPLEX
(1 / 4) - ((1 / ((2 * (b + 2)) * (b + 1))) - ((1 * 2) / ((((b + 2) * (b + 1)) * (b + 3)) * 2))) is ext-real V14() real Element of COMPLEX
(b + 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * 2) * ((b + 1) * (b + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) / (((b + 2) * 2) * ((b + 1) * (b + 3))) is ext-real V14() real Element of COMPLEX
(1 / ((2 * (b + 2)) * (b + 1))) - ((1 * 2) / (((b + 2) * 2) * ((b + 1) * (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 4) - ((1 / ((2 * (b + 2)) * (b + 1))) - ((1 * 2) / (((b + 2) * 2) * ((b + 1) * (b + 3))))) is ext-real V14() real Element of COMPLEX
1 / ((b + 2) * 2) is ext-real V14() real Element of COMPLEX
2 / ((b + 1) * (b + 3)) is ext-real V14() real Element of COMPLEX
(1 / ((b + 2) * 2)) * (2 / ((b + 1) * (b + 3))) is ext-real V14() real Element of COMPLEX
(1 / ((2 * (b + 2)) * (b + 1))) - ((1 / ((b + 2) * 2)) * (2 / ((b + 1) * (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 4) - ((1 / ((2 * (b + 2)) * (b + 1))) - ((1 / ((b + 2) * 2)) * (2 / ((b + 1) * (b + 3))))) is ext-real V14() real Element of COMPLEX
1 / (2 * (b + 2)) is ext-real V14() real Element of COMPLEX
1 / (b + 1) is ext-real V14() real Element of COMPLEX
(1 / (2 * (b + 2))) * (1 / (b + 1)) is ext-real V14() real Element of COMPLEX
(1 / (2 * (b + 2))) * (2 / ((b + 1) * (b + 3))) is ext-real V14() real Element of COMPLEX
((1 / (2 * (b + 2))) * (1 / (b + 1))) - ((1 / (2 * (b + 2))) * (2 / ((b + 1) * (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 4) - (((1 / (2 * (b + 2))) * (1 / (b + 1))) - ((1 / (2 * (b + 2))) * (2 / ((b + 1) * (b + 3))))) is ext-real V14() real Element of COMPLEX
(1 / (b + 1)) - (2 / ((b + 1) * (b + 3))) is ext-real V14() real Element of COMPLEX
(1 / (2 * (b + 2))) * ((1 / (b + 1)) - (2 / ((b + 1) * (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 4) - ((1 / (2 * (b + 2))) * ((1 / (b + 1)) - (2 / ((b + 1) * (b + 3))))) is ext-real V14() real Element of COMPLEX
1 / (b + 3) is ext-real V14() real Element of COMPLEX
(1 / (2 * (b + 2))) * (1 / (b + 3)) is ext-real V14() real Element of COMPLEX
(1 / 4) - ((1 / (2 * (b + 2))) * (1 / (b + 3))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((0 * (0 + 1)) * (0 + 2)) is ext-real V14() real Element of COMPLEX
2 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (0 + 1)) * (0 + 2)) is ext-real V14() real Element of COMPLEX
(1 / 4) - (1 / ((2 * (0 + 1)) * (0 + 2))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (b + 1)) * (b + 2)) is ext-real V14() real Element of COMPLEX
(1 / 4) - (1 / ((2 * (b + 1)) * (b + 2))) is ext-real V14() real Element of COMPLEX
18 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / 18 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((3 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(1 / 18) - (1 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
(1 / 18) - (1 / (((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((1 / 18) - (1 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
((1 / 18) - (1 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + (1 / ((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(1 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) - (1 / ((((b + 1) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(1 / 18) - ((1 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) - (1 / ((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)))) is ext-real V14() real Element of COMPLEX
1 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 3) / (((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * 3) is ext-real V14() real Element of COMPLEX
(1 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) - ((1 * 3) / (((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * 3)) is ext-real V14() real Element of COMPLEX
(1 / 18) - ((1 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) - ((1 * 3) / (((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * 3))) is ext-real V14() real Element of COMPLEX
3 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 2)) * (b + 3)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((3 * (b + 2)) * (b + 3)) * (b + 1)) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 2)) * (b + 3)) * ((b + 1) * (b + 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 3) / (((3 * (b + 2)) * (b + 3)) * ((b + 1) * (b + 4))) is ext-real V14() real Element of COMPLEX
(1 / (((3 * (b + 2)) * (b + 3)) * (b + 1))) - ((1 * 3) / (((3 * (b + 2)) * (b + 3)) * ((b + 1) * (b + 4)))) is ext-real V14() real Element of COMPLEX
(1 / 18) - ((1 / (((3 * (b + 2)) * (b + 3)) * (b + 1))) - ((1 * 3) / (((3 * (b + 2)) * (b + 3)) * ((b + 1) * (b + 4))))) is ext-real V14() real Element of COMPLEX
1 / ((3 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
3 / ((b + 1) * (b + 4)) is ext-real V14() real Element of COMPLEX
(1 / ((3 * (b + 2)) * (b + 3))) * (3 / ((b + 1) * (b + 4))) is ext-real V14() real Element of COMPLEX
(1 / (((3 * (b + 2)) * (b + 3)) * (b + 1))) - ((1 / ((3 * (b + 2)) * (b + 3))) * (3 / ((b + 1) * (b + 4)))) is ext-real V14() real Element of COMPLEX
(1 / 18) - ((1 / (((3 * (b + 2)) * (b + 3)) * (b + 1))) - ((1 / ((3 * (b + 2)) * (b + 3))) * (3 / ((b + 1) * (b + 4))))) is ext-real V14() real Element of COMPLEX
1 / (b + 1) is ext-real V14() real Element of COMPLEX
(1 / ((3 * (b + 2)) * (b + 3))) * (1 / (b + 1)) is ext-real V14() real Element of COMPLEX
((1 / ((3 * (b + 2)) * (b + 3))) * (1 / (b + 1))) - ((1 / ((3 * (b + 2)) * (b + 3))) * (3 / ((b + 1) * (b + 4)))) is ext-real V14() real Element of COMPLEX
(1 / 18) - (((1 / ((3 * (b + 2)) * (b + 3))) * (1 / (b + 1))) - ((1 / ((3 * (b + 2)) * (b + 3))) * (3 / ((b + 1) * (b + 4))))) is ext-real V14() real Element of COMPLEX
(1 / (b + 1)) - (3 / ((b + 1) * (b + 4))) is ext-real V14() real Element of COMPLEX
(1 / ((3 * (b + 2)) * (b + 3))) * ((1 / (b + 1)) - (3 / ((b + 1) * (b + 4)))) is ext-real V14() real Element of COMPLEX
(1 / 18) - ((1 / ((3 * (b + 2)) * (b + 3))) * ((1 / (b + 1)) - (3 / ((b + 1) * (b + 4))))) is ext-real V14() real Element of COMPLEX
1 / (b + 4) is ext-real V14() real Element of COMPLEX
(1 / ((3 * (b + 2)) * (b + 3))) * (1 / (b + 4)) is ext-real V14() real Element of COMPLEX
(1 / 18) - ((1 / ((3 * (b + 2)) * (b + 3))) * (1 / (b + 4))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * (0 + 2)) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) is ext-real V14() real Element of COMPLEX
3 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (0 + 1)) * (0 + 2)) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((3 * (0 + 1)) * (0 + 2)) * (0 + 3)) is ext-real V14() real Element of COMPLEX
(1 / 18) - (1 / (((3 * (0 + 1)) * (0 + 2)) * (0 + 3))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((3 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(1 / 18) - (1 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * ((2 * b) + 1)) / 6 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1)) / 6 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
(((b * (b + 1)) * ((2 * b) + 1)) / 6) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * ((2 * b) + 1)) / 6) + ((b + 1) |^ 2) is ext-real V14() real set
((b + 1) |^ 2) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * ((2 * b) + 1)) + (((b + 1) |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * ((2 * b) + 1)) + (((b + 1) |^ 2) * 6)) / 6 is ext-real V14() real Element of COMPLEX
(b + 1) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * b) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 1)) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * b) * ((2 * b) + 1)) + (((b + 1) * (b + 1)) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * b) * ((2 * b) + 1)) + (((b + 1) * (b + 1)) * 6)) / 6 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * ((2 * 0) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * ((2 * 0) + 1)) / 6 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * ((2 * b) + 1)) / 6 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 1) is ext-real V14() real set
((- 1) |^ (b + 1)) * b is ext-real V14() real set
(((- 1) |^ (b + 1)) * b) * (b + 1) is ext-real V14() real set
((((- 1) |^ (b + 1)) * b) * (b + 1)) / 2 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ ((b + 1) + 1) is ext-real V14() real set
((- 1) |^ ((b + 1) + 1)) * (b + 1) is ext-real V14() real set
(((- 1) |^ ((b + 1) + 1)) * (b + 1)) * ((b + 1) + 1) is ext-real V14() real set
((((- 1) |^ ((b + 1) + 1)) * (b + 1)) * ((b + 1) + 1)) / 2 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
(((((- 1) |^ (b + 1)) * b) * (b + 1)) / 2) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 2) is ext-real V14() real set
(((((- 1) |^ (b + 1)) * b) * (b + 1)) / 2) + (((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 2)) is ext-real V14() real set
(((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 2)) * 2 is ext-real V14() real set
((((- 1) |^ (b + 1)) * b) * (b + 1)) + ((((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 2)) * 2) is ext-real V14() real set
(((((- 1) |^ (b + 1)) * b) * (b + 1)) + ((((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 2)) * 2)) / 2 is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 1)) * (- 1) is ext-real V14() real set
(((- 1) |^ (b + 1)) * (- 1)) * ((b + 1) |^ 2) is ext-real V14() real set
((((- 1) |^ (b + 1)) * (- 1)) * ((b + 1) |^ 2)) * 2 is ext-real V14() real set
((((- 1) |^ (b + 1)) * b) * (b + 1)) + (((((- 1) |^ (b + 1)) * (- 1)) * ((b + 1) |^ 2)) * 2) is ext-real V14() real set
(((((- 1) |^ (b + 1)) * b) * (b + 1)) + (((((- 1) |^ (b + 1)) * (- 1)) * ((b + 1) |^ 2)) * 2)) / 2 is ext-real V14() real Element of COMPLEX
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) * (b * (b + 1)) is ext-real V14() real set
((b + 1) |^ 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) * (b * (b + 1))) + (((b + 1) |^ 2) * 2) is ext-real V14() real set
(((- 1) |^ (b + 1)) * (- 1)) * (((- 1) * (b * (b + 1))) + (((b + 1) |^ 2) * 2)) is ext-real V14() real set
((((- 1) |^ (b + 1)) * (- 1)) * (((- 1) * (b * (b + 1))) + (((b + 1) |^ 2) * 2))) / 2 is ext-real V14() real Element of COMPLEX
((- 1) |^ ((b + 1) + 1)) * (((- 1) * (b * (b + 1))) + (((b + 1) |^ 2) * 2)) is ext-real V14() real set
(((- 1) |^ ((b + 1) + 1)) * (((- 1) * (b * (b + 1))) + (((b + 1) |^ 2) * 2))) / 2 is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 2) is ext-real V14() real set
(- 1) * b is ext-real V14() real set
((- 1) * b) * b is ext-real V14() real set
((- 1) * b) * 1 is ext-real V14() real set
(((- 1) * b) * b) + (((- 1) * b) * 1) is ext-real V14() real set
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + ((2 * b) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((- 1) * b) * b) + (((- 1) * b) * 1)) + ((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) * 2) is ext-real V14() real set
((- 1) |^ (b + 2)) * (((((- 1) * b) * b) + (((- 1) * b) * 1)) + ((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) * 2)) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (((((- 1) * b) * b) + (((- 1) * b) * 1)) + ((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) * 2))) / 2 is ext-real V14() real Element of COMPLEX
(b |^ 2) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + (2 * b)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) + (2 * b)) + 1) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((- 1) * b) * b) + (((- 1) * b) * 1)) + ((((b |^ 2) + (2 * b)) + 1) * 2) is ext-real V14() real set
((- 1) |^ (b + 2)) * (((((- 1) * b) * b) + (((- 1) * b) * 1)) + ((((b |^ 2) + (2 * b)) + 1) * 2)) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (((((- 1) * b) * b) + (((- 1) * b) * 1)) + ((((b |^ 2) + (2 * b)) + 1) * 2))) / 2 is ext-real V14() real Element of COMPLEX
b * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) * (b * b) is ext-real V14() real set
((- 1) * (b * b)) + ((- 1) * b) is ext-real V14() real set
2 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b |^ 2)) + ((2 * b) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((- 1) * (b * b)) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2)) is ext-real V14() real set
((- 1) |^ (b + 2)) * ((((- 1) * (b * b)) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2))) is ext-real V14() real set
(((- 1) |^ (b + 2)) * ((((- 1) * (b * b)) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2)))) / 2 is ext-real V14() real Element of COMPLEX
b |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 1) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) * ((b |^ 1) * b) is ext-real V14() real set
((- 1) * ((b |^ 1) * b)) + ((- 1) * b) is ext-real V14() real set
(((- 1) * ((b |^ 1) * b)) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2)) is ext-real V14() real set
((- 1) |^ (b + 2)) * ((((- 1) * ((b |^ 1) * b)) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2))) is ext-real V14() real set
(((- 1) |^ (b + 2)) * ((((- 1) * ((b |^ 1) * b)) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2)))) / 2 is ext-real V14() real Element of COMPLEX
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) * (b |^ (1 + 1)) is ext-real V14() real set
((- 1) * (b |^ (1 + 1))) + ((- 1) * b) is ext-real V14() real set
(((- 1) * (b |^ (1 + 1))) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2)) is ext-real V14() real set
((- 1) |^ (b + 2)) * ((((- 1) * (b |^ (1 + 1))) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2))) is ext-real V14() real set
(((- 1) |^ (b + 2)) * ((((- 1) * (b |^ (1 + 1))) + ((- 1) * b)) + (((2 * (b |^ 2)) + ((2 * b) * 2)) + (1 * 2)))) / 2 is ext-real V14() real Element of COMPLEX
1 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b |^ 2)) + (3 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 * (b |^ 2)) + (3 * b)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ (b + 2)) * (((1 * (b |^ 2)) + (3 * b)) + 2) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (((1 * (b |^ 2)) + (3 * b)) + 2)) / 2 is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ (b + 2)) * ((b + 1) * (b + 2)) is ext-real V14() real set
(((- 1) |^ (b + 2)) * ((b + 1) * (b + 2))) / 2 is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 2)) * (b + 1) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (b + 1)) * (b + 2) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * (b + 2)) / 2 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (0 + 1) is ext-real V14() real set
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ (0 + 1)) * (0 |^ 2) is ext-real V14() real set
((- 1) |^ (0 + 1)) * 0 is ext-real V14() real set
(((- 1) |^ (0 + 1)) * 0) * (0 + 1) is ext-real V14() real set
((((- 1) |^ (0 + 1)) * 0) * (0 + 1)) / 2 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 1) is ext-real V14() real set
((- 1) |^ (b + 1)) * b is ext-real V14() real set
(((- 1) |^ (b + 1)) * b) * (b + 1) is ext-real V14() real set
((((- 1) |^ (b + 1)) * b) * (b + 1)) / 2 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real set
4 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (b |^ 2)) - 1 is ext-real V14() real set
b * ((4 * (b |^ 2)) - 1) is ext-real V14() real set
(b * ((4 * (b |^ 2)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) |^ 2 is ext-real natural V14() real set
4 * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((b + 1) |^ 2)) - 1 is ext-real V14() real set
(b + 1) * ((4 * ((b + 1) |^ 2)) - 1) is ext-real V14() real set
((b + 1) * ((4 * ((b + 1) |^ 2)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((b * ((4 * (b |^ 2)) - 1)) / 3) + (a . (b + 1)) is ext-real V14() real set
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) - 1 is ext-real V14() real set
((2 * (b + 1)) - 1) |^ 2 is ext-real V14() real set
((b * ((4 * (b |^ 2)) - 1)) / 3) + (((2 * (b + 1)) - 1) |^ 2) is ext-real V14() real set
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * b) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * b) + 1) |^ 2) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * ((4 * (b |^ 2)) - 1)) + ((((2 * b) + 1) |^ 2) * 3) is ext-real V14() real set
((b * ((4 * (b |^ 2)) - 1)) + ((((2 * b) + 1) |^ 2) * 3)) / 3 is ext-real V14() real Element of COMPLEX
(2 * b) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (2 * b)) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * b) |^ 2) + ((2 * (2 * b)) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * b) |^ 2) + ((2 * (2 * b)) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * b) |^ 2) + ((2 * (2 * b)) * 1)) + (1 |^ 2)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * ((4 * (b |^ 2)) - 1)) + (((((2 * b) |^ 2) + ((2 * (2 * b)) * 1)) + (1 |^ 2)) * 3) is ext-real V14() real set
((b * ((4 * (b |^ 2)) - 1)) + (((((2 * b) |^ 2) + ((2 * (2 * b)) * 1)) + (1 |^ 2)) * 3)) / 3 is ext-real V14() real Element of COMPLEX
b * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * 4) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * 4) * (b |^ 2)) - (b * 1) is ext-real V14() real set
((2 * b) |^ 2) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (2 * b)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * b) |^ 2) * 3) + ((2 * (2 * b)) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 |^ 2) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * b) |^ 2) * 3) + ((2 * (2 * b)) * 3)) + ((1 |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * 4) * (b |^ 2)) - (b * 1)) + (((((2 * b) |^ 2) * 3) + ((2 * (2 * b)) * 3)) + ((1 |^ 2) * 3)) is ext-real V14() real set
((((b * 4) * (b |^ 2)) - (b * 1)) + (((((2 * b) |^ 2) * 3) + ((2 * (2 * b)) * 3)) + ((1 |^ 2) * 3))) / 3 is ext-real V14() real Element of COMPLEX
b * (4 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (4 * (b |^ 2))) - b is ext-real V14() real set
(2 |^ 2) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ 2) * (b |^ 2)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 2) * b) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 |^ 2) * (b |^ 2)) * 3) + (((2 * 2) * b) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 |^ 2) * (b |^ 2)) * 3) + (((2 * 2) * b) * 3)) + ((1 |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (4 * (b |^ 2))) - b) + (((((2 |^ 2) * (b |^ 2)) * 3) + (((2 * 2) * b) * 3)) + ((1 |^ 2) * 3)) is ext-real V14() real set
(((b * (4 * (b |^ 2))) - b) + (((((2 |^ 2) * (b |^ 2)) * 3) + (((2 * 2) * b) * 3)) + ((1 |^ 2) * 3))) / 3 is ext-real V14() real Element of COMPLEX
4 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * b) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 |^ 2) * (b |^ 2)) * 3) + ((4 * b) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 |^ 2) * (b |^ 2)) * 3) + ((4 * b) * 3)) + (1 * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (4 * (b |^ 2))) - b) + (((((2 |^ 2) * (b |^ 2)) * 3) + ((4 * b) * 3)) + (1 * 3)) is ext-real V14() real set
(((b * (4 * (b |^ 2))) - b) + (((((2 |^ 2) * (b |^ 2)) * 3) + ((4 * b) * 3)) + (1 * 3))) / 3 is ext-real V14() real Element of COMPLEX
(2 * 2) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 2) * (b |^ 2)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * 2) * (b |^ 2)) * 3) + (12 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * 2) * (b |^ 2)) * 3) + (12 * b)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (4 * (b |^ 2))) - b) + (((((2 * 2) * (b |^ 2)) * 3) + (12 * b)) + 3) is ext-real V14() real set
(((b * (4 * (b |^ 2))) - b) + (((((2 * 2) * (b |^ 2)) * 3) + (12 * b)) + 3)) / 3 is ext-real V14() real Element of COMPLEX
(12 - 1) * b is ext-real V14() real set
(b * (4 * (b |^ 2))) + ((12 - 1) * b) is ext-real V14() real set
12 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (4 * (b |^ 2))) + ((12 - 1) * b)) + (12 * (b |^ 2)) is ext-real V14() real set
(((b * (4 * (b |^ 2))) + ((12 - 1) * b)) + (12 * (b |^ 2))) + 3 is ext-real V14() real set
((((b * (4 * (b |^ 2))) + ((12 - 1) * b)) + (12 * (b |^ 2))) + 3) / 3 is ext-real V14() real Element of COMPLEX
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((b + 1) |^ 2)) - 1 is ext-real V14() real set
(b + 1) * ((4 * ((b + 1) |^ 2)) - 1) is ext-real V14() real set
((b + 1) * ((4 * ((b + 1) |^ 2)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (0 + 1) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (0 + 1) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (0 + 1)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) - 1 is ext-real V14() real set
((2 * 1) - 1) |^ 2 is ext-real V14() real set
0 + (((2 * 1) - 1) |^ 2) is ext-real V14() real set
1 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (1 * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (1 * 1)) - 1 is ext-real V14() real set
1 * ((4 * (1 * 1)) - 1) is ext-real V14() real set
(1 * ((4 * (1 * 1)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (1 |^ 2)) - 1 is ext-real V14() real set
1 * ((4 * (1 |^ 2)) - 1) is ext-real V14() real set
(1 * ((4 * (1 |^ 2)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 |^ 2 is ext-real natural V14() real set
4 * (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (1 |^ 2)) - 1 is ext-real V14() real set
1 * ((4 * (1 |^ 2)) - 1) is ext-real V14() real set
(1 * ((4 * (1 |^ 2)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (b |^ 2)) - 1 is ext-real V14() real set
b * ((4 * (b |^ 2)) - 1) is ext-real V14() real set
(b * ((4 * (b |^ 2)) - 1)) / 3 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * ((b + 1) |^ 2)) / 4 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) * (((b + 1) + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * (((b + 1) + 1) |^ 2)) / 4 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
(((b |^ 2) * ((b + 1) |^ 2)) / 4) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) / 4) + ((b + 1) |^ 3) is ext-real V14() real set
((b + 1) |^ 3) * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * ((b + 1) |^ 2)) + (((b + 1) |^ 3) * 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) + (((b + 1) |^ 3) * 4)) / 4 is ext-real V14() real Element of COMPLEX
((b + 1) |^ 2) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * (b + 1)) * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * ((b + 1) |^ 2)) + ((((b + 1) |^ 2) * (b + 1)) * 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) + ((((b + 1) |^ 2) * (b + 1)) * 4)) / 4 is ext-real V14() real Element of COMPLEX
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 2) * b) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + (((2 * 2) * b) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) * ((b |^ 2) + (((2 * 2) * b) + 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * ((b |^ 2) + (((2 * 2) * b) + 4))) / 4 is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) * ((b + 2) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * ((b + 2) |^ 2)) / 4 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * ((0 + 1) |^ 2)) / 4 is ext-real V14() real Element of COMPLEX
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 |^ 2) * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 |^ 2) * ((0 + 1) |^ 2)) / 4 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * ((b + 1) |^ 2)) / 4 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real set
2 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b |^ 2)) - 1 is ext-real V14() real set
(b |^ 2) * ((2 * (b |^ 2)) - 1) is ext-real V14() real set
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) |^ 2 is ext-real natural V14() real set
2 * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) |^ 2)) - 1 is ext-real V14() real set
((b + 1) |^ 2) * ((2 * ((b + 1) |^ 2)) - 1) is ext-real V14() real set
a . (b + 1) is ext-real V14() real Element of REAL
((b |^ 2) * ((2 * (b |^ 2)) - 1)) + (a . (b + 1)) is ext-real V14() real set
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) - 1 is ext-real V14() real set
((2 * (b + 1)) - 1) |^ 3 is ext-real V14() real set
((b |^ 2) * ((2 * (b |^ 2)) - 1)) + (((2 * (b + 1)) - 1) |^ 3) is ext-real V14() real set
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * b) + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * ((2 * (b |^ 2)) - 1)) + (((2 * b) + 1) |^ 3) is ext-real V14() real set
(2 * b) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((2 * b) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * b) |^ 3) + (3 * ((2 * b) |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * b) |^ 3) + (3 * ((2 * b) |^ 2))) + (3 * (2 * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * b) |^ 3) + (3 * ((2 * b) |^ 2))) + (3 * (2 * b))) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * ((2 * (b |^ 2)) - 1)) + (((((2 * b) |^ 3) + (3 * ((2 * b) |^ 2))) + (3 * (2 * b))) + 1) is ext-real V14() real set
(b |^ 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * 2) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2) is ext-real V14() real set
((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3) is ext-real V14() real set
(((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3)) + (3 * ((2 * b) |^ 2)) is ext-real V14() real set
3 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * 2) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3)) + (3 * ((2 * b) |^ 2))) + ((3 * 2) * b) is ext-real V14() real set
(((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3)) + (3 * ((2 * b) |^ 2))) + ((3 * 2) * b)) + 1 is ext-real V14() real set
(2 |^ 2) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((2 |^ 2) * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3)) + (3 * ((2 |^ 2) * (b |^ 2))) is ext-real V14() real set
6 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3)) + (3 * ((2 |^ 2) * (b |^ 2)))) + (6 * b) is ext-real V14() real set
(((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 * b) |^ 3)) + (3 * ((2 |^ 2) * (b |^ 2)))) + (6 * b)) + 1 is ext-real V14() real set
2 |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 3 is ext-real natural V14() real set
(2 |^ 3) * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3)) is ext-real V14() real set
(((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3))) + (3 * ((2 |^ 2) * (b |^ 2))) is ext-real V14() real set
((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3))) + (3 * ((2 |^ 2) * (b |^ 2)))) + (6 * b) is ext-real V14() real set
(((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3))) + (3 * ((2 |^ 2) * (b |^ 2)))) + (6 * b)) + 1 is ext-real V14() real set
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((2 * 2) * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3))) + (3 * ((2 * 2) * (b |^ 2))) is ext-real V14() real set
((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3))) + (3 * ((2 * 2) * (b |^ 2)))) + (6 * b) is ext-real V14() real set
(((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + ((2 |^ 3) * (b |^ 3))) + (3 * ((2 * 2) * (b |^ 2)))) + (6 * b)) + 1 is ext-real V14() real set
(2 * 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 2) * 2) * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + (((2 * 2) * 2) * (b |^ 3)) is ext-real V14() real set
(((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + (((2 * 2) * 2) * (b |^ 3))) + (3 * ((2 * 2) * (b |^ 2))) is ext-real V14() real set
((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + (((2 * 2) * 2) * (b |^ 3))) + (3 * ((2 * 2) * (b |^ 2)))) + (6 * b) is ext-real V14() real set
(((((((b |^ 2) * 2) * (b |^ 2)) - (b |^ 2)) + (((2 * 2) * 2) * (b |^ 3))) + (3 * ((2 * 2) * (b |^ 2)))) + (6 * b)) + 1 is ext-real V14() real set
(b |^ 2) * (b |^ 2) is ext-real V14() real set
((b |^ 2) * (b |^ 2)) * 2 is ext-real V14() real set
(12 - 1) * (b |^ 2) is ext-real V14() real set
(((b |^ 2) * (b |^ 2)) * 2) + ((12 - 1) * (b |^ 2)) is ext-real V14() real set
8 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) * (b |^ 2)) * 2) + ((12 - 1) * (b |^ 2))) + (8 * (b |^ 3)) is ext-real V14() real set
(((((b |^ 2) * (b |^ 2)) * 2) + ((12 - 1) * (b |^ 2))) + (8 * (b |^ 3))) + (6 * b) is ext-real V14() real set
((((((b |^ 2) * (b |^ 2)) * 2) + ((12 - 1) * (b |^ 2))) + (8 * (b |^ 3))) + (6 * b)) + 1 is ext-real V14() real set
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) |^ 2)) - 1 is ext-real V14() real set
((b + 1) |^ 2) * ((2 * ((b + 1) |^ 2)) - 1) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
(a . 1) + 0 is ext-real V14() real set
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) - 1 is ext-real V14() real set
((2 * 1) - 1) |^ 3 is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (1 * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 * 1)) - 1 is ext-real V14() real set
(1 |^ 2) * ((2 * (1 * 1)) - 1) is ext-real V14() real set
2 * (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 |^ 2)) - 1 is ext-real V14() real set
(1 |^ 2) * ((2 * (1 |^ 2)) - 1) is ext-real V14() real set
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 |^ 2 is ext-real natural V14() real set
2 * (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 |^ 2)) - 1 is ext-real V14() real set
(1 |^ 2) * ((2 * (1 |^ 2)) - 1) is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b |^ 2)) - 1 is ext-real V14() real set
(b |^ 2) * ((2 * (b |^ 2)) - 1) is ext-real V14() real set
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 2)) + (3 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 2)) + (3 * b)) - 1 is ext-real V14() real set
((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1) is ext-real V14() real set
(((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) / 30 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b + 1) |^ 2)) + (3 * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b + 1) |^ 2)) + (3 * (b + 1))) - 1 is ext-real V14() real set
(((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1)) * (((3 * ((b + 1) |^ 2)) + (3 * (b + 1))) - 1) is ext-real V14() real set
((((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1)) * (((3 * ((b + 1) |^ 2)) + (3 * (b + 1))) - 1)) / 30 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) / 30) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) / 30) + ((b + 1) |^ 4) is ext-real V14() real set
3 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ (3 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ (3 + 1)) * 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + (((b + 1) |^ (3 + 1)) * 30) is ext-real V14() real set
((((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + (((b + 1) |^ (3 + 1)) * 30)) / 30 is ext-real V14() real Element of COMPLEX
(b + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 3) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 3) * (b + 1)) * 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + ((((b + 1) |^ 3) * (b + 1)) * 30) is ext-real V14() real set
((((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + ((((b + 1) |^ 3) * (b + 1)) * 30)) / 30 is ext-real V14() real Element of COMPLEX
b * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1) is ext-real V14() real set
((b + 1) |^ 3) * 30 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + (((b + 1) |^ 3) * 30) is ext-real V14() real set
(b + 1) * (((b * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + (((b + 1) |^ 3) * 30)) is ext-real V14() real set
((b + 1) * (((b * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) + (((b + 1) |^ 3) * 30))) / 30 is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * ((2 * (b + 1)) + 1)) * (((3 * ((b + 1) |^ 2)) + (3 * (b + 1))) - 1) is ext-real V14() real set
(b + 1) * (((b + 2) * ((2 * (b + 1)) + 1)) * (((3 * ((b + 1) |^ 2)) + (3 * (b + 1))) - 1)) is ext-real V14() real set
((b + 1) * (((b + 2) * ((2 * (b + 1)) + 1)) * (((3 * ((b + 1) |^ 2)) + (3 * (b + 1))) - 1))) / 30 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * ((2 * 0) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (0 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (0 |^ 2)) + (3 * 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (0 |^ 2)) + (3 * 0)) - 1 is ext-real V14() real set
((0 * (0 + 1)) * ((2 * 0) + 1)) * (((3 * (0 |^ 2)) + (3 * 0)) - 1) is ext-real V14() real set
(((0 * (0 + 1)) * ((2 * 0) + 1)) * (((3 * (0 |^ 2)) + (3 * 0)) - 1)) / 30 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 2)) + (3 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 2)) + (3 * b)) - 1 is ext-real V14() real set
((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1) is ext-real V14() real set
(((b * (b + 1)) * ((2 * b) + 1)) * (((3 * (b |^ 2)) + (3 * b)) - 1)) / 30 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 1) is ext-real V14() real set
((- 1) |^ (b + 1)) * b is ext-real V14() real set
(((- 1) |^ (b + 1)) * b) * (b + 1) is ext-real V14() real set
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + b) - 1 is ext-real V14() real set
((((- 1) |^ (b + 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1) is ext-real V14() real set
(((((- 1) |^ (b + 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) / 2 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ ((b + 1) + 1) is ext-real V14() real set
((- 1) |^ ((b + 1) + 1)) * (b + 1) is ext-real V14() real set
(((- 1) |^ ((b + 1) + 1)) * (b + 1)) * ((b + 1) + 1) is ext-real V14() real set
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) + (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) + (b + 1)) - 1 is ext-real V14() real set
((((- 1) |^ ((b + 1) + 1)) * (b + 1)) * ((b + 1) + 1)) * ((((b + 1) |^ 2) + (b + 1)) - 1) is ext-real V14() real set
(((((- 1) |^ ((b + 1) + 1)) * (b + 1)) * ((b + 1) + 1)) * ((((b + 1) |^ 2) + (b + 1)) - 1)) / 2 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((((- 1) |^ (b + 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) / 2) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 4) is ext-real V14() real set
((((((- 1) |^ (b + 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) / 2) + (((- 1) |^ ((b + 1) + 1)) * ((b + 1) |^ 4)) is ext-real V14() real set
((- 1) |^ (b + 1)) * (- 1) is ext-real V14() real set
(((- 1) |^ (b + 1)) * (- 1)) * (- 1) is ext-real V14() real set
((((- 1) |^ (b + 1)) * (- 1)) * (- 1)) * b is ext-real V14() real set
(((((- 1) |^ (b + 1)) * (- 1)) * (- 1)) * b) * (b + 1) is ext-real V14() real set
((((((- 1) |^ (b + 1)) * (- 1)) * (- 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1) is ext-real V14() real set
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 2) is ext-real V14() real set
((- 1) |^ (b + 2)) * ((b + 1) |^ 4) is ext-real V14() real set
(((- 1) |^ (b + 2)) * ((b + 1) |^ 4)) * 2 is ext-real V14() real set
(((((((- 1) |^ (b + 1)) * (- 1)) * (- 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((- 1) |^ (b + 2)) * ((b + 1) |^ 4)) * 2) is ext-real V14() real set
((((((((- 1) |^ (b + 1)) * (- 1)) * (- 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((- 1) |^ (b + 2)) * ((b + 1) |^ 4)) * 2)) / 2 is ext-real V14() real Element of COMPLEX
((- 1) |^ ((b + 1) + 1)) * (- 1) is ext-real V14() real set
(((- 1) |^ ((b + 1) + 1)) * (- 1)) * b is ext-real V14() real set
((((- 1) |^ ((b + 1) + 1)) * (- 1)) * b) * (b + 1) is ext-real V14() real set
(((((- 1) |^ ((b + 1) + 1)) * (- 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1) is ext-real V14() real set
((((((- 1) |^ ((b + 1) + 1)) * (- 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((- 1) |^ (b + 2)) * ((b + 1) |^ 4)) * 2) is ext-real V14() real set
(((((((- 1) |^ ((b + 1) + 1)) * (- 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((- 1) |^ (b + 2)) * ((b + 1) |^ 4)) * 2)) / 2 is ext-real V14() real Element of COMPLEX
(- 1) * b is ext-real V14() real set
((- 1) * b) * (b + 1) is ext-real V14() real set
(((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1) is ext-real V14() real set
3 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ (3 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ (3 + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + (((b + 1) |^ (3 + 1)) * 2) is ext-real V14() real set
((- 1) |^ (b + 2)) * (((((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + (((b + 1) |^ (3 + 1)) * 2)) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (((((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + (((b + 1) |^ (3 + 1)) * 2))) / 2 is ext-real V14() real Element of COMPLEX
(b + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 3) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 3) * (b + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((b + 1) |^ 3) * (b + 1)) * 2) is ext-real V14() real set
((- 1) |^ (b + 2)) * (((((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((b + 1) |^ 3) * (b + 1)) * 2)) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (((((- 1) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) + ((((b + 1) |^ 3) * (b + 1)) * 2))) / 2 is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 2)) * (b + 1) is ext-real V14() real set
b * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b |^ 2)) + (b * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b |^ 2)) + (b * b)) - (b * 1) is ext-real V14() real set
(- 1) * (((b * (b |^ 2)) + (b * b)) - (b * 1)) is ext-real V14() real set
((b + 1) |^ 3) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) * (((b * (b |^ 2)) + (b * b)) - (b * 1))) + (((b + 1) |^ 3) * 2) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b * (b |^ 2)) + (b * b)) - (b * 1))) + (((b + 1) |^ 3) * 2)) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b * (b |^ 2)) + (b * b)) - (b * 1))) + (((b + 1) |^ 3) * 2))) / 2 is ext-real V14() real Element of COMPLEX
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ (2 + 1)) + (b * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ (2 + 1)) + (b * b)) - (b * 1) is ext-real V14() real set
(- 1) * (((b |^ (2 + 1)) + (b * b)) - (b * 1)) is ext-real V14() real set
((- 1) * (((b |^ (2 + 1)) + (b * b)) - (b * 1))) + (((b + 1) |^ 3) * 2) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b |^ (2 + 1)) + (b * b)) - (b * 1))) + (((b + 1) |^ 3) * 2)) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b |^ (2 + 1)) + (b * b)) - (b * 1))) + (((b + 1) |^ 3) * 2))) / 2 is ext-real V14() real Element of COMPLEX
b |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 3) + (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 3) + (b |^ 2)) - b is ext-real V14() real set
(- 1) * (((b |^ 3) + (b |^ 2)) - b) is ext-real V14() real set
((- 1) * (((b |^ 3) + (b |^ 2)) - b)) + (((b + 1) |^ 3) * 2) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b |^ 3) + (b |^ 2)) - b)) + (((b + 1) |^ 3) * 2)) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b |^ 3) + (b |^ 2)) - b)) + (((b + 1) |^ 3) * 2))) / 2 is ext-real V14() real Element of COMPLEX
3 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 3) + (3 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 3) + (3 * (b |^ 2))) + (3 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 3) + (3 * (b |^ 2))) + (3 * b)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 3) + (3 * (b |^ 2))) + (3 * b)) + 1) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) * (((b |^ 3) + (b |^ 2)) - b)) + (((((b |^ 3) + (3 * (b |^ 2))) + (3 * b)) + 1) * 2) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b |^ 3) + (b |^ 2)) - b)) + (((((b |^ 3) + (3 * (b |^ 2))) + (3 * b)) + 1) * 2)) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * (((- 1) * (((b |^ 3) + (b |^ 2)) - b)) + (((((b |^ 3) + (3 * (b |^ 2))) + (3 * b)) + 1) * 2))) / 2 is ext-real V14() real Element of COMPLEX
5 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 3) + (5 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 3) + (5 * (b |^ 2))) + (7 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 3) + (5 * (b |^ 2))) + (7 * b)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((- 1) |^ (b + 2)) * (b + 1)) * ((((b |^ 3) + (5 * (b |^ 2))) + (7 * b)) + 2) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * ((((b |^ 3) + (5 * (b |^ 2))) + (7 * b)) + 2)) / 2 is ext-real V14() real Element of COMPLEX
(b + 2) * ((((b + 1) |^ 2) + (b + 1)) - 1) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (b + 1)) * ((b + 2) * ((((b + 1) |^ 2) + (b + 1)) - 1)) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * ((b + 2) * ((((b + 1) |^ 2) + (b + 1)) - 1))) / 2 is ext-real V14() real Element of COMPLEX
(((- 1) |^ (b + 2)) * (b + 1)) * (b + 2) is ext-real V14() real set
((((- 1) |^ (b + 2)) * (b + 1)) * (b + 2)) * ((((b + 1) |^ 2) + (b + 1)) - 1) is ext-real V14() real set
(((((- 1) |^ (b + 2)) * (b + 1)) * (b + 2)) * ((((b + 1) |^ 2) + (b + 1)) - 1)) / 2 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (0 + 1) is ext-real V14() real set
0 |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ (0 + 1)) * (0 |^ 4) is ext-real V14() real set
((- 1) |^ (0 + 1)) * 0 is ext-real V14() real set
(((- 1) |^ (0 + 1)) * 0) * (0 + 1) is ext-real V14() real set
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 |^ 2) + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 |^ 2) + 0) - 1 is ext-real V14() real set
((((- 1) |^ (0 + 1)) * 0) * (0 + 1)) * (((0 |^ 2) + 0) - 1) is ext-real V14() real set
(((((- 1) |^ (0 + 1)) * 0) * (0 + 1)) * (((0 |^ 2) + 0) - 1)) / 2 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 1) is ext-real V14() real set
((- 1) |^ (b + 1)) * b is ext-real V14() real set
(((- 1) |^ (b + 1)) * b) * (b + 1) is ext-real V14() real set
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + b) - 1 is ext-real V14() real set
((((- 1) |^ (b + 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1) is ext-real V14() real set
(((((- 1) |^ (b + 1)) * b) * (b + 1)) * (((b |^ 2) + b) - 1)) / 2 is ext-real V14() real Element of COMPLEX
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (2 * a)) - 1 is ext-real V14() real set
(a |^ 2) * (((2 * (a |^ 2)) + (2 * a)) - 1) is ext-real V14() real set
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) |^ 3) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * (((2 * (a |^ 2)) + (2 * a)) - 1)) + (((a + 1) |^ 3) * 12) is ext-real V14() real set
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a + 1) |^ 2)) + (2 * (a + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a + 1) |^ 2)) + (2 * (a + 1))) - 1 is ext-real V14() real set
((a + 2) |^ 2) * (((2 * ((a + 1) |^ 2)) + (2 * (a + 1))) - 1) is ext-real V14() real set
(a |^ 2) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((a |^ 2) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 2) * (a |^ 2))) + (2 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a |^ 2) * (a |^ 2))) + (2 * (a * (a |^ 2)))) - (a |^ 2) is ext-real V14() real set
(((2 * ((a |^ 2) * (a |^ 2))) + (2 * (a * (a |^ 2)))) - (a |^ 2)) + (((a + 1) |^ 3) * 12) is ext-real V14() real set
2 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (2 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 2))) + (2 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 2))) + (2 * (a * (a |^ 2)))) - (a |^ 2) is ext-real V14() real set
(((2 * (a |^ (2 + 2))) + (2 * (a * (a |^ 2)))) - (a |^ 2)) + (((a + 1) |^ 3) * 12) is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 2))) + (2 * (a |^ (2 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 2))) + (2 * (a |^ (2 + 1)))) - (a |^ 2) is ext-real V14() real set
(((2 * (a |^ (2 + 2))) + (2 * (a |^ (2 + 1)))) - (a |^ 2)) + (((a + 1) |^ 3) * 12) is ext-real V14() real set
a |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 4)) + (2 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 4)) + (2 * (a |^ 3))) - (a |^ 2) is ext-real V14() real set
3 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) + (3 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) + (2 * (a |^ 3))) - (a |^ 2)) + (((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) * 12) is ext-real V14() real set
(a |^ 3) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) + (2 * (a |^ 3))) - (a |^ 2)) + ((a |^ 3) * 12) is ext-real V14() real set
36 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) + (2 * (a |^ 3))) - (a |^ 2)) + ((a |^ 3) * 12)) + (36 * (a |^ 2)) is ext-real V14() real set
36 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((2 * (a |^ 4)) + (2 * (a |^ 3))) - (a |^ 2)) + ((a |^ 3) * 12)) + (36 * (a |^ 2))) + (36 * a) is ext-real V14() real set
((((((2 * (a |^ 4)) + (2 * (a |^ 3))) - (a |^ 2)) + ((a |^ 3) * 12)) + (36 * (a |^ 2))) + (36 * a)) + 12 is ext-real V14() real set
(2 * a) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) + (2 * (a + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) + (2 * (a + 1))) - 1 is ext-real V14() real set
((a + 2) |^ 2) * (((2 * (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) + (2 * (a + 1))) - 1) is ext-real V14() real set
(2 * a) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 2)) + (2 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + ((2 * a) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + ((2 * a) * 2)) + (2 * (1 |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) + (2 * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 2)) + ((2 * a) * 2)) + (2 * (1 |^ 2))) + ((2 * a) + (2 * 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 2)) + ((2 * a) * 2)) + (2 * (1 |^ 2))) + ((2 * a) + (2 * 1))) - 1 is ext-real V14() real set
(((a |^ 2) + ((2 * a) * 2)) + (2 |^ 2)) * (((((2 * (a |^ 2)) + ((2 * a) * 2)) + (2 * (1 |^ 2))) + ((2 * a) + (2 * 1))) - 1) is ext-real V14() real set
4 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + (4 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (4 * a)) + (2 * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 2)) + (4 * a)) + (2 * 1)) + ((2 * a) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 2)) + (4 * a)) + (2 * 1)) + ((2 * a) + 2)) - 1 is ext-real V14() real set
(((a |^ 2) + ((2 * a) * 2)) + (2 |^ 2)) * (((((2 * (a |^ 2)) + (4 * a)) + (2 * 1)) + ((2 * a) + 2)) - 1) is ext-real V14() real set
(a |^ 2) + (4 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + (4 * a)) + (2 * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (4 * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 2)) + (4 * a)) + 2) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 2)) + (4 * a)) + 2) + (2 * a)) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((2 * (a |^ 2)) + (4 * a)) + 2) + (2 * a)) + 2) - 1 is ext-real V14() real set
(((a |^ 2) + (4 * a)) + (2 * 2)) * ((((((2 * (a |^ 2)) + (4 * a)) + 2) + (2 * a)) + 2) - 1) is ext-real V14() real set
6 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((a |^ 2) * (a |^ 2))) + (6 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((a |^ 2) * (a |^ 2))) + (6 * (a * (a |^ 2)))) + ((a |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + (6 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (6 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * ((a |^ 2) * (a |^ 2))) + (6 * (a * (a |^ 2)))) + ((a |^ 2) * 3)) + ((4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) * 4) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 2)) * 4) + (24 * a)) + 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * ((a |^ 2) * (a |^ 2))) + (6 * (a * (a |^ 2)))) + ((a |^ 2) * 3)) + ((4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3))) + ((((2 * (a |^ 2)) * 4) + (24 * a)) + 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 2))) + (6 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 2))) + (6 * (a * (a |^ 2)))) + ((a |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ (2 + 2))) + (6 * (a * (a |^ 2)))) + ((a |^ 2) * 3)) + ((4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ (2 + 2))) + (6 * (a * (a |^ 2)))) + ((a |^ 2) * 3)) + ((4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3))) + ((((2 * (a |^ 2)) * 4) + (24 * a)) + 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ (2 + 2))) + (6 * (a |^ (2 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ (2 + 2))) + (6 * (a |^ (2 + 1)))) + ((a |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ (2 + 2))) + (6 * (a |^ (2 + 1)))) + ((a |^ 2) * 3)) + ((4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ (2 + 2))) + (6 * (a |^ (2 + 1)))) + ((a |^ 2) * 3)) + ((4 * a) * (((2 * (a |^ 2)) + (6 * a)) + 3))) + ((((2 * (a |^ 2)) * 4) + (24 * a)) + 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 4)) + (6 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (a * (a |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (a * a)) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (a * (a |^ 2))) * 2) + ((4 * (a * a)) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * a) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * (a * (a |^ 2))) * 2) + ((4 * (a * a)) * 6)) + ((4 * a) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3)) + ((((4 * (a * (a |^ 2))) * 2) + ((4 * (a * a)) * 6)) + ((4 * a) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(8 * (a |^ 2)) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((8 * (a |^ 2)) + (24 * a)) + 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3)) + ((((4 * (a * (a |^ 2))) * 2) + ((4 * (a * a)) * 6)) + ((4 * a) * 3))) + (((8 * (a |^ 2)) + (24 * a)) + 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (a |^ (2 + 1))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (a |^ (2 + 1))) * 2) + (24 * (a * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * (a |^ (2 + 1))) * 2) + (24 * (a * a))) + ((4 * a) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3)) + ((((4 * (a |^ (2 + 1))) * 2) + (24 * (a * a))) + ((4 * a) * 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3)) + ((((4 * (a |^ (2 + 1))) * 2) + (24 * (a * a))) + ((4 * a) * 3))) + (((8 * (a |^ 2)) + (24 * a)) + 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (a |^ 3)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (a |^ 3)) * 2) + (24 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * (a |^ 3)) * 2) + (24 * (a |^ 2))) + (12 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3)) + ((((4 * (a |^ 3)) * 2) + (24 * (a |^ 2))) + (12 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) + (6 * (a |^ 3))) + ((a |^ 2) * 3)) + ((((4 * (a |^ 3)) * 2) + (24 * (a |^ 2))) + (12 * a))) + (((8 * (a |^ 2)) + (24 * a)) + 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
14 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
14 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 4)) + (14 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 4)) + (14 * (a |^ 3))) + (27 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 4)) + (14 * (a |^ 3))) + (27 * (a |^ 2))) + (12 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((2 * (a |^ 4)) + (14 * (a |^ 3))) + (27 * (a |^ 2))) + (12 * a)) + (8 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((2 * (a |^ 4)) + (14 * (a |^ 3))) + (27 * (a |^ 2))) + (12 * a)) + (8 * (a |^ 2))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((2 * (a |^ 4)) + (14 * (a |^ 3))) + (27 * (a |^ 2))) + (12 * a)) + (8 * (a |^ 2))) + (24 * a)) + 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b |^ 2)) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b |^ 2)) + (2 * b)) - 1 is ext-real V14() real set
((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1) is ext-real V14() real set
(((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) / 12 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) * (((b + 1) + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) |^ 2)) + (2 * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1 is ext-real V14() real set
(((b + 1) |^ 2) * (((b + 1) + 1) |^ 2)) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1) is ext-real V14() real set
((((b + 1) |^ 2) * (((b + 1) + 1) |^ 2)) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1)) / 12 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) / 12) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) / 12) + ((b + 1) |^ 5) is ext-real V14() real set
3 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ (3 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ (3 + 2)) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + (((b + 1) |^ (3 + 2)) * 12) is ext-real V14() real set
((((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + (((b + 1) |^ (3 + 2)) * 12)) / 12 is ext-real V14() real Element of COMPLEX
(b + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 3) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 3) * ((b + 1) |^ 2)) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + ((((b + 1) |^ 3) * ((b + 1) |^ 2)) * 12) is ext-real V14() real set
((((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + ((((b + 1) |^ 3) * ((b + 1) |^ 2)) * 12)) / 12 is ext-real V14() real Element of COMPLEX
(b |^ 2) * (((2 * (b |^ 2)) + (2 * b)) - 1) is ext-real V14() real set
((b + 1) |^ 3) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + (((b + 1) |^ 3) * 12) is ext-real V14() real set
((b + 1) |^ 2) * (((b |^ 2) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + (((b + 1) |^ 3) * 12)) is ext-real V14() real set
(((b + 1) |^ 2) * (((b |^ 2) * (((2 * (b |^ 2)) + (2 * b)) - 1)) + (((b + 1) |^ 3) * 12))) / 12 is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) |^ 2) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1) is ext-real V14() real set
((b + 1) |^ 2) * (((b + 2) |^ 2) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1)) is ext-real V14() real set
(((b + 1) |^ 2) * (((b + 2) |^ 2) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1))) / 12 is ext-real V14() real Element of COMPLEX
((b + 1) |^ 2) * ((b + 2) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * ((b + 2) |^ 2)) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1) is ext-real V14() real set
((((b + 1) |^ 2) * ((b + 2) |^ 2)) * (((2 * ((b + 1) |^ 2)) + (2 * (b + 1))) - 1)) / 12 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (0 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (0 |^ 2)) + (2 * 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (0 |^ 2)) + (2 * 0)) - 1 is ext-real V14() real set
(0 * ((0 + 1) |^ 2)) * (((2 * (0 |^ 2)) + (2 * 0)) - 1) is ext-real V14() real set
((0 * ((0 + 1) |^ 2)) * (((2 * (0 |^ 2)) + (2 * 0)) - 1)) / 12 is ext-real V14() real Element of COMPLEX
(0 |^ 2) * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 |^ 2) * ((0 + 1) |^ 2)) * (((2 * (0 |^ 2)) + (2 * 0)) - 1) is ext-real V14() real set
(((0 |^ 2) * ((0 + 1) |^ 2)) * (((2 * (0 |^ 2)) + (2 * 0)) - 1)) / 12 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b |^ 2)) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b |^ 2)) + (2 * b)) - 1 is ext-real V14() real set
((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1) is ext-real V14() real set
(((b |^ 2) * ((b + 1) |^ 2)) * (((2 * (b |^ 2)) + (2 * b)) - 1)) / 12 is ext-real V14() real Element of COMPLEX
57 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
216 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
414 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
419 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
211 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
42 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) * ((2 * (a + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((a + 1) |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((a + 1) |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (3 * (a + 1)) is ext-real V14() real set
(((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (3 * (a + 1))) + 1 is ext-real V14() real set
((a + 2) * ((2 * (a + 1)) + 1)) * ((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (3 * (a + 1))) + 1) is ext-real V14() real set
a |^ 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
57 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 6)) + (57 * (a |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
216 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 6)) + (57 * (a |^ 5))) + (216 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
414 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 6)) + (57 * (a |^ 5))) + (216 * (a |^ 4))) + (414 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
419 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 6)) + (57 * (a |^ 5))) + (216 * (a |^ 4))) + (414 * (a |^ 3))) + (419 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
211 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ 6)) + (57 * (a |^ 5))) + (216 * (a |^ 4))) + (414 * (a |^ 3))) + (419 * (a |^ 2))) + (211 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((6 * (a |^ 6)) + (57 * (a |^ 5))) + (216 * (a |^ 4))) + (414 * (a |^ 3))) + (419 * (a |^ 2))) + (211 * a)) + 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) * ((2 * a) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (3 * a) is ext-real V14() real set
(((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (3 * a)) - 2 is ext-real V14() real set
((a + 2) * ((2 * a) + 3)) * ((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (3 * a)) - 2) is ext-real V14() real set
4 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 4) + (4 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * ((a + 1) |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * ((a + 1) |^ 3))) - (3 * a) is ext-real V14() real set
(((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * ((a + 1) |^ 3))) - (3 * a)) - 2 is ext-real V14() real set
((a + 2) * ((2 * a) + 3)) * ((((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * ((a + 1) |^ 3))) - (3 * a)) - 2) is ext-real V14() real set
3 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 4)) + (12 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2))) + (12 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2))) + (12 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) + (3 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2))) + (12 * a)) + 3) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2))) + (12 * a)) + 3) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (3 * a) is ext-real V14() real set
(((((((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2))) + (12 * a)) + 3) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (3 * a)) - 2 is ext-real V14() real set
((a + 2) * ((2 * a) + 3)) * ((((((((3 * (a |^ 4)) + (12 * (a |^ 3))) + (18 * (a |^ 2))) + (12 * a)) + 3) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (3 * a)) - 2) is ext-real V14() real set
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a * a)) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * a) + 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a * a)) + (3 * a)) + ((4 * a) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 4)) + (18 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 4)) + (18 * (a |^ 3))) + (36 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 4)) + (18 * (a |^ 3))) + (36 * (a |^ 2))) + (27 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (36 * (a |^ 2))) + (27 * a)) + 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a * a)) + (3 * a)) + ((4 * a) + 6)) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (36 * (a |^ 2))) + (27 * a)) + 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (3 * a)) + ((4 * a) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (a |^ 2)) + (3 * a)) + ((4 * a) + 6)) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (36 * (a |^ 2))) + (27 * a)) + 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
7 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (a |^ 2)) + (7 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (a |^ 2)) + (7 * a)) + 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(27 * (a * (a |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(27 * (a * a)) * 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((27 * (a * (a |^ 2))) * 2) + ((27 * (a * a)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
162 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
162 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((27 * (a * (a |^ 2))) * 2) + ((27 * (a * a)) * 7)) + (162 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((27 * (a * (a |^ 2))) * 2) + ((27 * (a * a)) * 7)) + (162 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
14 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
14 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
49 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
49 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(14 * (a |^ 2)) + (49 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((14 * (a |^ 2)) + (49 * a)) + 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((27 * (a * (a |^ 2))) * 2) + ((27 * (a * a)) * 7)) + (162 * a))) + (((14 * (a |^ 2)) + (49 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(27 * (a |^ (2 + 1))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((27 * (a |^ (2 + 1))) * 2) + ((27 * (a * a)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((27 * (a |^ (2 + 1))) * 2) + ((27 * (a * a)) * 7)) + (162 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((27 * (a |^ (2 + 1))) * 2) + ((27 * (a * a)) * 7)) + (162 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((27 * (a |^ (2 + 1))) * 2) + ((27 * (a * a)) * 7)) + (162 * a))) + (((14 * (a |^ 2)) + (49 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
54 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
54 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
27 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(27 * (a |^ 2)) * 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(54 * (a |^ 3)) + ((27 * (a |^ 2)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((54 * (a |^ 3)) + ((27 * (a |^ 2)) * 7)) + (162 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + (((54 * (a |^ 3)) + ((27 * (a |^ 2)) * 7)) + (162 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 4)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) + ((18 * (a |^ 3)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + (((54 * (a |^ 3)) + ((27 * (a |^ 2)) * 7)) + (162 * a))) + (((14 * (a |^ 2)) + (49 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 4) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((a |^ 4) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a |^ 4) * (a |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 4) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((a |^ 4) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a |^ 4) * a)) * 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a |^ 4) * (a |^ 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((a |^ 4) * (a |^ 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * ((a |^ 3) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(18 * ((a |^ 3) * (a |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * ((a |^ 3) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(18 * ((a |^ 3) * a)) * 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
108 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
108 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * ((a |^ 4) * (a |^ 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4))) + ((((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * ((a |^ 4) * (a |^ 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4))) + ((((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
203 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
203 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(54 * (a |^ 3)) + (203 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * ((a |^ 4) * (a |^ 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4))) + ((((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (4 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ (4 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ (4 + 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ (4 + 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ (4 + 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4))) + ((((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ (4 + 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4))) + ((((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ (4 + 2))) * 2) + ((3 * ((a |^ 4) * a)) * 7)) + (18 * (a |^ 4))) + ((((18 * ((a |^ 3) * (a |^ 2))) * 2) + ((18 * ((a |^ 3) * a)) * 7)) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ (4 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (4 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ (4 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ (4 + 1))) * 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ (4 + 2))) + ((3 * (a |^ (4 + 1))) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ (4 + 2))) + ((3 * (a |^ (4 + 1))) * 7)) + (18 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * ((a |^ 3) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
126 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
126 * ((a |^ 3) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * ((a |^ 3) * (a |^ 2))) + (126 * ((a |^ 3) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((36 * ((a |^ 3) * (a |^ 2))) + (126 * ((a |^ 3) * a))) + (108 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ (4 + 2))) + ((3 * (a |^ (4 + 1))) * 7)) + (18 * (a |^ 4))) + (((36 * ((a |^ 3) * (a |^ 2))) + (126 * ((a |^ 3) * a))) + (108 * (a |^ 3))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ (4 + 2))) + ((3 * (a |^ (4 + 1))) * 7)) + (18 * (a |^ 4))) + (((36 * ((a |^ 3) * (a |^ 2))) + (126 * ((a |^ 3) * a))) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ (4 + 2))) + ((3 * (a |^ (4 + 1))) * 7)) + (18 * (a |^ 4))) + (((36 * ((a |^ 3) * (a |^ 2))) + (126 * ((a |^ 3) * a))) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
21 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
21 * (a |^ (4 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (3 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
126 * (a |^ (3 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * ((a |^ 3) * (a |^ 2))) + (126 * (a |^ (3 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((36 * ((a |^ 3) * (a |^ 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4))) + (((36 * ((a |^ 3) * (a |^ 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4))) + (((36 * ((a |^ 3) * (a |^ 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4))) + (((36 * ((a |^ 3) * (a |^ 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (3 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * (a |^ (3 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * (a |^ (3 + 2))) + (126 * (a |^ (3 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((36 * (a |^ (3 + 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4))) + (((36 * (a |^ (3 + 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4))) + (((36 * (a |^ (3 + 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ (4 + 2))) + (21 * (a |^ (4 + 1)))) + (18 * (a |^ 4))) + (((36 * (a |^ (3 + 2))) + (126 * (a |^ (3 + 1)))) + (108 * (a |^ 3)))) + ((36 * (a |^ 2)) * (((2 * (a |^ 2)) + (7 * a)) + 6))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
21 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (a |^ 6)) + (21 * (a |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
126 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * (a |^ 5)) + (126 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * ((a |^ 2) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * ((a |^ 2) * (a |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * ((a |^ 2) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * ((a |^ 2) * a)) * 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((36 * ((a |^ 2) * (a |^ 2))) * 2) + ((36 * ((a |^ 2) * a)) * 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
216 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((36 * ((a |^ 2) * (a |^ 2))) * 2) + ((36 * ((a |^ 2) * a)) * 7)) + (216 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + ((((36 * ((a |^ 2) * (a |^ 2))) * 2) + ((36 * ((a |^ 2) * a)) * 7)) + (216 * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + ((((36 * ((a |^ 2) * (a |^ 2))) * 2) + ((36 * ((a |^ 2) * a)) * 7)) + (216 * (a |^ 2)))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 * (a |^ (2 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(36 * (a |^ (2 + 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
252 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
252 * ((a |^ 2) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((36 * (a |^ (2 + 2))) * 2) + (252 * ((a |^ 2) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((36 * (a |^ (2 + 2))) * 2) + (252 * ((a |^ 2) * a))) + (216 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + ((((36 * (a |^ (2 + 2))) * 2) + (252 * ((a |^ 2) * a))) + (216 * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + ((((36 * (a |^ (2 + 2))) * 2) + (252 * ((a |^ 2) * a))) + (216 * (a |^ 2)))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 * (a |^ (2 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
252 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(72 * (a |^ (2 + 2))) + (252 * (a |^ (2 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((72 * (a |^ (2 + 2))) + (252 * (a |^ (2 + 1)))) + (216 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + (((72 * (a |^ (2 + 2))) + (252 * (a |^ (2 + 1)))) + (216 * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + (((72 * (a |^ (2 + 2))) + (252 * (a |^ (2 + 1)))) + (216 * (a |^ 2)))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
252 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(72 * (a |^ 4)) + (252 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((72 * (a |^ 4)) + (252 * (a |^ 3))) + (216 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + (((72 * (a |^ 4)) + (252 * (a |^ 3))) + (216 * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (a |^ 6)) + (21 * (a |^ 5))) + (18 * (a |^ 4))) + (((36 * (a |^ 5)) + (126 * (a |^ 4))) + (108 * (a |^ 3)))) + (((72 * (a |^ 4)) + (252 * (a |^ 3))) + (216 * (a |^ 2)))) + ((((54 * (a |^ 3)) + (203 * (a |^ 2))) + (211 * a)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 4)) + (6 * (b |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b) is ext-real V14() real set
(((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1 is ext-real V14() real set
((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1) is ext-real V14() real set
(((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) / 42 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b + 1) |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((b + 1) |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1)) is ext-real V14() real set
(((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1))) + 1 is ext-real V14() real set
(((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1)) * ((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1))) + 1) is ext-real V14() real set
((((b + 1) * ((b + 1) + 1)) * ((2 * (b + 1)) + 1)) * ((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1))) + 1)) / 42 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) / 42) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) / 42) + ((b + 1) |^ 6) is ext-real V14() real set
5 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ (5 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ (5 + 1)) * 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ (5 + 1)) * 42) is ext-real V14() real set
((((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ (5 + 1)) * 42)) / 42 is ext-real V14() real Element of COMPLEX
(b + 1) |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 5) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 5) * (b + 1)) * 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + ((((b + 1) |^ 5) * (b + 1)) * 42) is ext-real V14() real set
((((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + ((((b + 1) |^ 5) * (b + 1)) * 42)) / 42 is ext-real V14() real Element of COMPLEX
b * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b * b)) + b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b * b)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1) is ext-real V14() real set
((b + 1) |^ 5) * 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (b * b)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * ((((2 * (b * b)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * ((((2 * (b * b)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b |^ 2)) + b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b |^ 2)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1) is ext-real V14() real set
(((2 * (b |^ 2)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * ((((2 * (b |^ 2)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * ((((2 * (b |^ 2)) + b) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
(b |^ 4) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b |^ 4) * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b |^ 4) * (b |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 4) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b |^ 4) * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 3) * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((b |^ 3) * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * ((b |^ 3) * (b |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 3) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((b |^ 3) * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b * (b |^ 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b))) is ext-real V14() real set
(((((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
((((((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * (((((((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * (((((((3 * ((b |^ 4) * (b |^ 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
4 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (4 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ (4 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ (4 + 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b))) is ext-real V14() real set
(((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
((((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * ((b |^ 3) * (b |^ 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
3 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (3 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ (3 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b |^ (3 + 2))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b))) is ext-real V14() real set
(((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
((((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * ((b |^ 4) * b))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
4 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (4 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ (4 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b))) is ext-real V14() real set
(((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
((((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b * (b |^ 2))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ (2 + 1))) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ (2 + 1))) * 2) + (3 * (b * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ (2 + 1))) * 2) + (3 * (b * b))) is ext-real V14() real set
(((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ (2 + 1))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
((((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ (2 + 1))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ (2 + 1))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * (((((((3 * (b |^ (4 + 2))) * 2) + (3 * (b |^ (4 + 1)))) + (((6 * (b |^ (3 + 2))) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ (2 + 1))) * 2) + (3 * (b * b)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
b |^ 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 6)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 6)) * 2) + (3 * (b |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b |^ 5)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b |^ 6)) * 2) + (3 * (b |^ 5))) + (((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 3)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 3)) * 2) + (3 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (b |^ 6)) * 2) + (3 * (b |^ 5))) + (((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ 3)) * 2) + (3 * (b |^ 2))) is ext-real V14() real set
(((((3 * (b |^ 6)) * 2) + (3 * (b |^ 5))) + (((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ 3)) * 2) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
((((((3 * (b |^ 6)) * 2) + (3 * (b |^ 5))) + (((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ 3)) * 2) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * (((((((3 * (b |^ 6)) * 2) + (3 * (b |^ 5))) + (((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ 3)) * 2) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * (((((((3 * (b |^ 6)) * 2) + (3 * (b |^ 5))) + (((6 * (b |^ 5)) * 2) + (6 * ((b |^ 3) * b)))) - (((3 * (b |^ 3)) * 2) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
6 * (b |^ 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b |^ 6)) + (3 * (b |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (b |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ (3 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ (3 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (b |^ 5)) + (6 * (b |^ (3 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b |^ 6)) + (3 * (b |^ 5))) + ((12 * (b |^ 5)) + (6 * (b |^ (3 + 1)))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b |^ 3)) + (3 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (b |^ 6)) + (3 * (b |^ 5))) + ((12 * (b |^ 5)) + (6 * (b |^ (3 + 1))))) - ((6 * (b |^ 3)) + (3 * (b |^ 2))) is ext-real V14() real set
((((6 * (b |^ 6)) + (3 * (b |^ 5))) + ((12 * (b |^ 5)) + (6 * (b |^ (3 + 1))))) - ((6 * (b |^ 3)) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b) is ext-real V14() real set
(((((6 * (b |^ 6)) + (3 * (b |^ 5))) + ((12 * (b |^ 5)) + (6 * (b |^ (3 + 1))))) - ((6 * (b |^ 3)) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42) is ext-real V14() real set
(b + 1) * ((((((6 * (b |^ 6)) + (3 * (b |^ 5))) + ((12 * (b |^ 5)) + (6 * (b |^ (3 + 1))))) - ((6 * (b |^ 3)) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42)) is ext-real V14() real set
((b + 1) * ((((((6 * (b |^ 6)) + (3 * (b |^ 5))) + ((12 * (b |^ 5)) + (6 * (b |^ (3 + 1))))) - ((6 * (b |^ 3)) + (3 * (b |^ 2)))) + ((2 * (b |^ 2)) + b)) + (((b + 1) |^ 5) * 42))) / 42 is ext-real V14() real Element of COMPLEX
6 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b |^ 6)) + (6 * (b |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
15 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
15 * (b |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5))) - (6 * (b |^ 3)) is ext-real V14() real set
1 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5))) - (6 * (b |^ 3))) - (1 * (b |^ 2)) is ext-real V14() real set
(((((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5))) - (6 * (b |^ 3))) - (1 * (b |^ 2))) + b is ext-real V14() real set
5 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 5) + (5 * (b |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
5 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2))) + (5 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2))) + (5 * b)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2))) + (5 * b)) + 1) * 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5))) - (6 * (b |^ 3))) - (1 * (b |^ 2))) + b) + (((((((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2))) + (5 * b)) + 1) * 42) is ext-real V14() real set
(b + 1) * (((((((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5))) - (6 * (b |^ 3))) - (1 * (b |^ 2))) + b) + (((((((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2))) + (5 * b)) + 1) * 42)) is ext-real V14() real set
((b + 1) * (((((((6 * (b |^ 6)) + (6 * (b |^ 4))) + (15 * (b |^ 5))) - (6 * (b |^ 3))) - (1 * (b |^ 2))) + b) + (((((((b |^ 5) + (5 * (b |^ 4))) + (10 * (b |^ 3))) + (10 * (b |^ 2))) + (5 * b)) + 1) * 42))) / 42 is ext-real V14() real Element of COMPLEX
57 * (b |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b |^ 6)) + (57 * (b |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
216 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
414 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4))) + (414 * (b |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
419 * (b |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4))) + (414 * (b |^ 3))) + (419 * (b |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
211 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4))) + (414 * (b |^ 3))) + (419 * (b |^ 2))) + (211 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4))) + (414 * (b |^ 3))) + (419 * (b |^ 2))) + (211 * b)) + 42 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (((((((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4))) + (414 * (b |^ 3))) + (419 * (b |^ 2))) + (211 * b)) + 42) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (((((((6 * (b |^ 6)) + (57 * (b |^ 5))) + (216 * (b |^ 4))) + (414 * (b |^ 3))) + (419 * (b |^ 2))) + (211 * b)) + 42)) / 42 is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * ((2 * (b + 1)) + 1)) * ((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1))) + 1) is ext-real V14() real set
(b + 1) * (((b + 2) * ((2 * (b + 1)) + 1)) * ((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1))) + 1)) is ext-real V14() real set
((b + 1) * (((b + 2) * ((2 * (b + 1)) + 1)) * ((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - (3 * (b + 1))) + 1))) / 42 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 |^ 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * ((2 * 0) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (0 |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (0 |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (0 |^ 4)) + (6 * (0 |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (3 * 0) is ext-real V14() real set
(((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (3 * 0)) + 1 is ext-real V14() real set
((0 * (0 + 1)) * ((2 * 0) + 1)) * ((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (3 * 0)) + 1) is ext-real V14() real set
(((0 * (0 + 1)) * ((2 * 0) + 1)) * ((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (3 * 0)) + 1)) / 42 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 4)) + (6 * (b |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b) is ext-real V14() real set
(((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1 is ext-real V14() real set
((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1) is ext-real V14() real set
(((b * (b + 1)) * ((2 * b) + 1)) * ((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (3 * b)) + 1)) / 42 is ext-real V14() real Element of COMPLEX
24 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((a + 1) |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((a + 1) |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2) is ext-real V14() real set
4 * (a + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * (a + 1)) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * (a + 1))) + 2 is ext-real V14() real set
((a + 2) |^ 2) * (((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * (a + 1))) + 2) is ext-real V14() real set
a |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 4)) + (6 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 4)) + (6 * (a |^ 3))) - (a |^ 2) is ext-real V14() real set
4 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 4)) + (6 * (a |^ 3))) - (a |^ 2)) - (4 * a) is ext-real V14() real set
((((3 * (a |^ 4)) + (6 * (a |^ 3))) - (a |^ 2)) - (4 * a)) + 2 is ext-real V14() real set
(a |^ 2) * (((((3 * (a |^ 4)) + (6 * (a |^ 3))) - (a |^ 2)) - (4 * a)) + 2) is ext-real V14() real set
(a + 1) |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 1) |^ 5) * 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) * (((((3 * (a |^ 4)) + (6 * (a |^ 3))) - (a |^ 2)) - (4 * a)) + 2)) + (((a + 1) |^ 5) * 24) is ext-real V14() real set
(a |^ 4) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((a |^ 4) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((a |^ 3) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a |^ 4) * (a |^ 2))) + (6 * ((a |^ 3) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a |^ 4) * (a |^ 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2)) is ext-real V14() real set
a * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((a |^ 4) * (a |^ 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2))) is ext-real V14() real set
(a |^ 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * ((a |^ 4) * (a |^ 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2) is ext-real V14() real set
(((((3 * ((a |^ 4) * (a |^ 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2)) + (((a + 1) |^ 5) * 24) is ext-real V14() real set
4 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (4 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ (4 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ (4 + 2))) + (6 * ((a |^ 3) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2)) is ext-real V14() real set
(((3 * (a |^ (4 + 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2))) is ext-real V14() real set
((((3 * (a |^ (4 + 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2) is ext-real V14() real set
(((((3 * (a |^ (4 + 2))) + (6 * ((a |^ 3) * (a |^ 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2)) + (((a + 1) |^ 5) * 24) is ext-real V14() real set
3 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (3 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ (3 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - ((a |^ 2) * (a |^ 2)) is ext-real V14() real set
(((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2))) is ext-real V14() real set
((((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2) is ext-real V14() real set
(((((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - ((a |^ 2) * (a |^ 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2)) + (((a + 1) |^ 5) * 24) is ext-real V14() real set
2 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2)) is ext-real V14() real set
(((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2))) - (4 * (a * (a |^ 2))) is ext-real V14() real set
((((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2) is ext-real V14() real set
(((((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2))) - (4 * (a * (a |^ 2)))) + ((a |^ 2) * 2)) + (((a + 1) |^ 5) * 24) is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2))) - (4 * (a |^ (2 + 1))) is ext-real V14() real set
((((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2))) - (4 * (a |^ (2 + 1)))) + ((a |^ 2) * 2) is ext-real V14() real set
(((((3 * (a |^ (4 + 2))) + (6 * (a |^ (3 + 2)))) - (a |^ (2 + 2))) - (4 * (a |^ (2 + 1)))) + ((a |^ 2) * 2)) + (((a + 1) |^ 5) * 24) is ext-real V14() real set
a |^ 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (a |^ 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 6)) + (6 * (a |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 6)) + (6 * (a |^ 5))) - (a |^ 4) is ext-real V14() real set
4 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 6)) + (6 * (a |^ 5))) - (a |^ 4)) - (4 * (a |^ 3)) is ext-real V14() real set
((((3 * (a |^ 6)) + (6 * (a |^ 5))) - (a |^ 4)) - (4 * (a |^ 3))) + ((a |^ 2) * 2) is ext-real V14() real set
5 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 5) + (5 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
10 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
5 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2))) + (5 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2))) + (5 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2))) + (5 * a)) + 1) * 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (6 * (a |^ 5))) - (a |^ 4)) - (4 * (a |^ 3))) + ((a |^ 2) * 2)) + (((((((a |^ 5) + (5 * (a |^ 4))) + (10 * (a |^ 3))) + (10 * (a |^ 2))) + (5 * a)) + 1) * 24) is ext-real V14() real set
30 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 6)) + (30 * (a |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
119 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
119 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
236 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
236 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
242 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * 242 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3))) + ((a |^ 2) * 242) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
120 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
120 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3))) + ((a |^ 2) * 242)) + (120 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3))) + ((a |^ 2) * 242)) + (120 * a)) + 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * a) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * a)) - 4 is ext-real V14() real set
(((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * a)) - 4) + 2 is ext-real V14() real set
((a + 2) |^ 2) * ((((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - ((a + 1) |^ 2)) - (4 * a)) - 4) + 2) is ext-real V14() real set
2 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2)) is ext-real V14() real set
(((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - (4 * a) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - (4 * a)) - 4 is ext-real V14() real set
(((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - (4 * a)) - 4) + 2 is ext-real V14() real set
((a + 2) |^ 2) * ((((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - (4 * a)) - 4) + 2) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - (4 * a)) - 2 is ext-real V14() real set
((a + 2) |^ 2) * (((((3 * ((a + 1) |^ 4)) + (6 * ((a + 1) |^ 3))) - (((a |^ 2) + ((2 * a) * 1)) + (1 |^ 2))) - (4 * a)) - 2) is ext-real V14() real set
3 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) + (3 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 3) + (3 * (a |^ 2))) + (3 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + (2 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + (2 * a)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + (1 |^ 2)) is ext-real V14() real set
(((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + (1 |^ 2))) - (4 * a) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + (1 |^ 2))) - (4 * a)) - 2 is ext-real V14() real set
((a + 2) |^ 2) * (((((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + (1 |^ 2))) - (4 * a)) - 2) is ext-real V14() real set
((a |^ 2) + (2 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + 1) is ext-real V14() real set
(((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + 1)) - (4 * a) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + 1)) - (4 * a)) - 2 is ext-real V14() real set
((a + 2) |^ 2) * (((((3 * ((a + 1) |^ 4)) + (6 * ((((a |^ 3) + (3 * (a |^ 2))) + (3 * a)) + 1))) - (((a |^ 2) + (2 * a)) + 1)) - (4 * a)) - 2) is ext-real V14() real set
(3 * ((a + 1) |^ 4)) + (6 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 - 1 is ext-real V14() real set
(18 - 1) * (a |^ 2) is ext-real V14() real set
((3 * ((a + 1) |^ 4)) + (6 * (a |^ 3))) + ((18 - 1) * (a |^ 2)) is ext-real V14() real set
18 - 2 is ext-real V14() real set
(18 - 2) - 4 is ext-real V14() real set
((18 - 2) - 4) * a is ext-real V14() real set
(((3 * ((a + 1) |^ 4)) + (6 * (a |^ 3))) + ((18 - 1) * (a |^ 2))) + (((18 - 2) - 4) * a) is ext-real V14() real set
((((3 * ((a + 1) |^ 4)) + (6 * (a |^ 3))) + ((18 - 1) * (a |^ 2))) + (((18 - 2) - 4) * a)) + 3 is ext-real V14() real set
((a + 2) |^ 2) * (((((3 * ((a + 1) |^ 4)) + (6 * (a |^ 3))) + ((18 - 1) * (a |^ 2))) + (((18 - 2) - 4) * a)) + 3) is ext-real V14() real set
(a |^ 4) + (4 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
17 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
17 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * (a |^ 3))) + (17 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * (a |^ 3))) + (17 * (a |^ 2))) + (12 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * (a |^ 3))) + (17 * (a |^ 2))) + (12 * a)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a + 2) |^ 2) * (((((3 * (((((a |^ 4) + (4 * (a |^ 3))) + (6 * (a |^ 2))) + (4 * a)) + 1)) + (6 * (a |^ 3))) + (17 * (a |^ 2))) + (12 * a)) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * a) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) + ((2 * a) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((a |^ 2) + ((2 * a) * 2)) + (2 * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 4)) + (18 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((a |^ 2) + ((2 * a) * 2)) + (2 * 2)) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * ((a |^ 3) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((a |^ 4) * (a |^ 2))) + (18 * ((a |^ 3) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 * ((a |^ 2) * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((a |^ 4) * (a |^ 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * (a * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((a |^ 4) * (a |^ 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * ((a |^ 4) * (a |^ 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * ((a |^ 4) * (a |^ 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (a |^ 4)) + (72 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
140 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
140 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
96 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
96 * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * ((a |^ 4) * (a |^ 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ (4 + 2))) + (18 * ((a |^ 3) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ (4 + 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ (4 + 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ (4 + 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ (4 + 2))) + (18 * ((a |^ 3) * (a |^ 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ (3 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * ((a |^ 2) * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * ((a |^ 2) * (a |^ 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 * (a |^ (2 + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a * (a |^ 2))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a * (a |^ 2)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a |^ (2 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a |^ (2 + 1)))) + ((a |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a |^ (2 + 1)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ (4 + 2))) + (18 * (a |^ (3 + 2)))) + (35 * (a |^ (2 + 2)))) + (24 * (a |^ (2 + 1)))) + ((a |^ 2) * 6)) + ((4 * a) * (((((3 * (a |^ 4)) + (18 * (a |^ 3))) + (35 * (a |^ 2))) + (24 * a)) + 6))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
18 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (a |^ 6)) + (18 * (a |^ 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
35 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
24 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 4) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * ((a |^ 4) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 3) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 * ((a |^ 3) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * ((a |^ 4) * a)) + (72 * ((a |^ 3) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(a |^ 2) * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
140 * ((a |^ 2) * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * ((a |^ 4) * a)) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
96 * (a * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * ((a |^ 4) * a)) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * ((a |^ 4) * a)) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * ((a |^ 4) * a)) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * ((a |^ 4) * a)) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (4 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (a |^ (4 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (a |^ (4 + 1))) + (72 * ((a |^ 3) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (a |^ (4 + 1))) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (a |^ (4 + 1))) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (a |^ (4 + 1))) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ (4 + 1))) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ (4 + 1))) + (72 * ((a |^ 3) * a))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a |^ (3 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 * (a |^ (3 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * ((a |^ 2) * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * ((a |^ 2) * a))) + (96 * (a * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * ((a |^ 2) * a))) + (96 * (a * a))) + (24 * a))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
140 * (a |^ (2 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * (a |^ (2 + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * (a |^ (2 + 1)))) + (96 * (a * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * (a |^ (2 + 1)))) + (96 * (a * a))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * (a |^ (2 + 1)))) + (96 * (a * a))) + (24 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ (4 + 1))) + (72 * (a |^ (3 + 1)))) + (140 * (a |^ (2 + 1)))) + (96 * (a * a))) + (24 * a))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
12 * (a |^ 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
72 * (a |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(12 * (a |^ 5)) + (72 * (a |^ 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
140 * (a |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((12 * (a |^ 5)) + (72 * (a |^ 4))) + (140 * (a |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
96 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((12 * (a |^ 5)) + (72 * (a |^ 4))) + (140 * (a |^ 3))) + (96 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((12 * (a |^ 5)) + (72 * (a |^ 4))) + (140 * (a |^ 3))) + (96 * (a |^ 2))) + (24 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ 5)) + (72 * (a |^ 4))) + (140 * (a |^ 3))) + (96 * (a |^ 2))) + (24 * a)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (18 * (a |^ 5))) + (35 * (a |^ 4))) + (24 * (a |^ 3))) + ((a |^ 2) * 6)) + (((((12 * (a |^ 5)) + (72 * (a |^ 4))) + (140 * (a |^ 3))) + (96 * (a |^ 2))) + (24 * a))) + (((((12 * (a |^ 4)) + (72 * (a |^ 3))) + (140 * (a |^ 2))) + (96 * a)) + 24) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
242 * (a |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3))) + (242 * (a |^ 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3))) + (242 * (a |^ 2))) + (120 * a) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((3 * (a |^ 6)) + (30 * (a |^ 5))) + (119 * (a |^ 4))) + (236 * (a |^ 3))) + (242 * (a |^ 2))) + (120 * a)) + 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (a + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (a + 2) is ext-real V14() real set
(2 |^ (a + 2)) + ((- 1) |^ (a + 2)) is ext-real V14() real set
abs ((- 1) |^ (a + 2)) is ext-real V14() real Element of REAL
- ((- 1) |^ (a + 2)) is ext-real V14() real set
1 + ((- 1) |^ (a + 2)) is ext-real V14() real set
a is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (a + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (a + 3) is ext-real V14() real set
(2 |^ (a + 3)) + ((- 1) |^ (a + 3)) is ext-real V14() real set
abs ((- 1) |^ (a + 3)) is ext-real V14() real Element of REAL
- ((- 1) |^ (a + 3)) is ext-real V14() real set
1 + ((- 1) |^ (a + 3)) is ext-real V14() real set
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 4)) + (6 * (b |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2) is ext-real V14() real set
4 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b) is ext-real V14() real set
((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2 is ext-real V14() real set
((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2) is ext-real V14() real set
(((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) / 24 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) * (((b + 1) + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b + 1) |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((b + 1) |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2) is ext-real V14() real set
4 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1)) is ext-real V14() real set
((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1))) + 2 is ext-real V14() real set
(((b + 1) |^ 2) * (((b + 1) + 1) |^ 2)) * (((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1))) + 2) is ext-real V14() real set
((((b + 1) |^ 2) * (((b + 1) + 1) |^ 2)) * (((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1))) + 2)) / 24 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) / 24) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) / 24) + ((b + 1) |^ 7) is ext-real V14() real set
5 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ (5 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ (5 + 2)) * 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + (((b + 1) |^ (5 + 2)) * 24) is ext-real V14() real set
((((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + (((b + 1) |^ (5 + 2)) * 24)) / 24 is ext-real V14() real Element of COMPLEX
(b + 1) |^ 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 5) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 5) * ((b + 1) |^ 2)) * 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + ((((b + 1) |^ 5) * ((b + 1) |^ 2)) * 24) is ext-real V14() real set
((((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + ((((b + 1) |^ 5) * ((b + 1) |^ 2)) * 24)) / 24 is ext-real V14() real Element of COMPLEX
(b |^ 2) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2) is ext-real V14() real set
((b + 1) |^ 5) * 24 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + (((b + 1) |^ 5) * 24) is ext-real V14() real set
((b + 1) |^ 2) * (((b |^ 2) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + (((b + 1) |^ 5) * 24)) is ext-real V14() real set
(((b + 1) |^ 2) * (((b |^ 2) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) + (((b + 1) |^ 5) * 24))) / 24 is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) |^ 2) * (((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1))) + 2) is ext-real V14() real set
((b + 1) |^ 2) * (((b + 2) |^ 2) * (((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1))) + 2)) is ext-real V14() real set
(((b + 1) |^ 2) * (((b + 2) |^ 2) * (((((3 * ((b + 1) |^ 4)) + (6 * ((b + 1) |^ 3))) - ((b + 1) |^ 2)) - (4 * (b + 1))) + 2))) / 24 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 |^ 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (0 |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (0 |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (0 |^ 4)) + (6 * (0 |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2) is ext-real V14() real set
4 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2)) - (4 * 0) is ext-real V14() real set
((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2)) - (4 * 0)) + 2 is ext-real V14() real set
(0 * ((0 + 1) |^ 2)) * (((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2)) - (4 * 0)) + 2) is ext-real V14() real set
((0 * ((0 + 1) |^ 2)) * (((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2)) - (4 * 0)) + 2)) / 24 is ext-real V14() real Element of COMPLEX
(0 |^ 2) * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 |^ 2) * ((0 + 1) |^ 2)) * (((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2)) - (4 * 0)) + 2) is ext-real V14() real set
(((0 |^ 2) * ((0 + 1) |^ 2)) * (((((3 * (0 |^ 4)) + (6 * (0 |^ 3))) - (0 |^ 2)) - (4 * 0)) + 2)) / 24 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) * ((b + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b |^ 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (b |^ 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b |^ 4)) + (6 * (b |^ 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2) is ext-real V14() real set
4 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b) is ext-real V14() real set
((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2 is ext-real V14() real set
((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2) is ext-real V14() real set
(((b |^ 2) * ((b + 1) |^ 2)) * (((((3 * (b |^ 4)) + (6 * (b |^ 3))) - (b |^ 2)) - (4 * b)) + 2)) / 24 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * ((3 * b) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * ((3 * b) + 5)) / 12 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((3 * (b + 1)) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((3 * (b + 1)) + 5)) / 12 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
((((b * (b + 1)) * (b + 2)) * ((3 * b) + 5)) / 12) + (a . (b + 1)) is ext-real V14() real set
((b + 1) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (((b + 1) + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * (b + 2)) * ((3 * b) + 5)) / 12) + ((b + 1) * (((b + 1) + 1) |^ 2)) is ext-real V14() real set
b * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 2)) * ((3 * b) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) |^ 2) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 2)) * ((3 * b) + 5)) + (((b + 2) |^ 2) * 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (((b * (b + 2)) * ((3 * b) + 5)) + (((b + 2) |^ 2) * 12)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (((b * (b + 2)) * ((3 * b) + 5)) + (((b + 2) |^ 2) * 12))) / 12 is ext-real V14() real Element of COMPLEX
(b + 2) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (b + 2)) * 12 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 2)) * ((3 * b) + 5)) + (((b + 2) * (b + 2)) * 12) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (((b * (b + 2)) * ((3 * b) + 5)) + (((b + 2) * (b + 2)) * 12)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (((b * (b + 2)) * ((3 * b) + 5)) + (((b + 2) * (b + 2)) * 12))) / 12 is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) * ((3 * (b + 1)) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * (b + 2)) * (b + 3)) * ((3 * (b + 1)) + 5)) / 12 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * 0) + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * (0 + 2)) * ((3 * 0) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((0 * (0 + 1)) * (0 + 2)) * ((3 * 0) + 5)) / 12 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * ((3 * b) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * ((3 * b) + 5)) / 12 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3)) / 10 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) * ((2 * (b + 1)) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) * ((2 * (b + 1)) + 3)) / 10 is ext-real V14() real Element of COMPLEX
a . (b + 1) is ext-real V14() real Element of REAL
(((((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3)) / 10) + (a . (b + 1)) is ext-real V14() real set
((b + 1) + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (((b + 1) + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (((b + 1) + 1) |^ 2)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3)) / 10) + (((b + 1) * (((b + 1) + 1) |^ 2)) * ((b + 1) + 2)) is ext-real V14() real set
(b + 2) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 2) * (b + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 2) * (b + 2))) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * ((b + 2) * (b + 2))) * (b + 3)) * 10 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * ((b + 2) * (b + 2))) * (b + 3)) * 10) / 10 is ext-real V14() real Element of COMPLEX
(((((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3)) / 10) + (((((b + 1) * ((b + 2) * (b + 2))) * (b + 3)) * 10) / 10) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * ((2 * (b + 1)) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b + 1) * (b + 2)) * (b + 3)) * (b + 4)) * ((2 * (b + 1)) + 3)) / 10 is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * ((0 + 1) |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * ((0 + 1) |^ 2)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 * (0 + 1)) * (0 + 2)) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) * ((2 * 0) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((0 * (0 + 1)) * (0 + 2)) * (0 + 3)) * ((2 * 0) + 3)) / 10 is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * (b + 1)) * (b + 2)) * (b + 3)) * ((2 * b) + 3)) / 10 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) - b is ext-real V14() real set
((b |^ 2) - b) + 2 is ext-real V14() real set
(2 |^ (b + 1)) * (((b |^ 2) - b) + 2) is ext-real V14() real set
((2 |^ (b + 1)) * (((b |^ 2) - b) + 2)) - 4 is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) - (b + 1) is ext-real V14() real set
(((b + 1) |^ 2) - (b + 1)) + 2 is ext-real V14() real set
(2 |^ ((b + 1) + 1)) * ((((b + 1) |^ 2) - (b + 1)) + 2) is ext-real V14() real set
((2 |^ ((b + 1) + 1)) * ((((b + 1) |^ 2) - (b + 1)) + 2)) - 4 is ext-real V14() real set
a . (b + 1) is ext-real V14() real Element of REAL
(((2 |^ (b + 1)) * (((b |^ 2) - b) + 2)) - 4) + (a . (b + 1)) is ext-real V14() real set
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 |^ (b + 1)) * (((b |^ 2) - b) + 2)) - 4) + (((b + 1) * ((b + 1) + 1)) * (2 |^ (b + 1))) is ext-real V14() real set
(2 |^ (b + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) - b) + 2) + ((b + 1) * (b + 2)) is ext-real V14() real set
((2 |^ (b + 1)) * 2) * ((((b |^ 2) - b) + 2) + ((b + 1) * (b + 2))) is ext-real V14() real set
(((2 |^ (b + 1)) * 2) * ((((b |^ 2) - b) + 2) + ((b + 1) * (b + 2)))) / 2 is ext-real V14() real Element of COMPLEX
((((2 |^ (b + 1)) * 2) * ((((b |^ 2) - b) + 2) + ((b + 1) * (b + 2)))) / 2) - 4 is ext-real V14() real set
(2 |^ ((b + 1) + 1)) * ((((b |^ 2) - b) + 2) + ((b + 1) * (b + 2))) is ext-real V14() real set
((2 |^ ((b + 1) + 1)) * ((((b |^ 2) - b) + 2) + ((b + 1) * (b + 2)))) / 2 is ext-real V14() real Element of COMPLEX
(((2 |^ ((b + 1) + 1)) * ((((b |^ 2) - b) + 2) + ((b + 1) * (b + 2)))) / 2) - 4 is ext-real V14() real set
2 |^ (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) - b) + 2) + (b * b) is ext-real V14() real set
1 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b |^ 2) - b) + 2) + (b * b)) + (1 * b) is ext-real V14() real set
b * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b |^ 2) - b) + 2) + (b * b)) + (1 * b)) + (b * 2) is ext-real V14() real set
((((((b |^ 2) - b) + 2) + (b * b)) + (1 * b)) + (b * 2)) + 2 is ext-real V14() real set
(2 |^ (b + 2)) * (((((((b |^ 2) - b) + 2) + (b * b)) + (1 * b)) + (b * 2)) + 2) is ext-real V14() real set
((2 |^ (b + 2)) * (((((((b |^ 2) - b) + 2) + (b * b)) + (1 * b)) + (b * 2)) + 2)) / 2 is ext-real V14() real Element of COMPLEX
(((2 |^ (b + 2)) * (((((((b |^ 2) - b) + 2) + (b * b)) + (1 * b)) + (b * 2)) + 2)) / 2) - 4 is ext-real V14() real set
(((b |^ 2) - b) + 2) + (b |^ 2) is ext-real V14() real set
((((b |^ 2) - b) + 2) + (b |^ 2)) + (1 * b) is ext-real V14() real set
(((((b |^ 2) - b) + 2) + (b |^ 2)) + (1 * b)) + (b * 2) is ext-real V14() real set
((((((b |^ 2) - b) + 2) + (b |^ 2)) + (1 * b)) + (b * 2)) + 2 is ext-real V14() real set
(2 |^ (b + 2)) * (((((((b |^ 2) - b) + 2) + (b |^ 2)) + (1 * b)) + (b * 2)) + 2) is ext-real V14() real set
((2 |^ (b + 2)) * (((((((b |^ 2) - b) + 2) + (b |^ 2)) + (1 * b)) + (b * 2)) + 2)) / 2 is ext-real V14() real Element of COMPLEX
(((2 |^ (b + 2)) * (((((((b |^ 2) - b) + 2) + (b |^ 2)) + (1 * b)) + (b * 2)) + 2)) / 2) - 4 is ext-real V14() real set
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + (2 * b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + (2 * b)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) + (2 * b)) + 1) - 1 is ext-real V14() real set
((((b |^ 2) + (2 * b)) + 1) - 1) - b is ext-real V14() real set
(((((b |^ 2) + (2 * b)) + 1) - 1) - b) + 2 is ext-real V14() real set
(2 |^ (b + 2)) * ((((((b |^ 2) + (2 * b)) + 1) - 1) - b) + 2) is ext-real V14() real set
((2 |^ (b + 2)) * ((((((b |^ 2) + (2 * b)) + 1) - 1) - b) + 2)) - 4 is ext-real V14() real set
(2 * b) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) + ((2 * b) * 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) - 1 is ext-real V14() real set
((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) - 1) - b is ext-real V14() real set
(((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) - 1) - b) + 2 is ext-real V14() real set
(2 |^ (b + 2)) * ((((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) - 1) - b) + 2) is ext-real V14() real set
((2 |^ (b + 2)) * ((((((b |^ 2) + ((2 * b) * 1)) + (1 |^ 2)) - 1) - b) + 2)) - 4 is ext-real V14() real set
((b + 1) |^ 2) - 1 is ext-real V14() real set
(((b + 1) |^ 2) - 1) - b is ext-real V14() real set
((((b + 1) |^ 2) - 1) - b) + 2 is ext-real V14() real set
(2 |^ (b + 2)) * (((((b + 1) |^ 2) - 1) - b) + 2) is ext-real V14() real set
((2 |^ (b + 2)) * (((((b + 1) |^ 2) - 1) - b) + 2)) - 4 is ext-real V14() real set
1 + b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) - (1 + b) is ext-real V14() real set
(((b + 1) |^ 2) - (1 + b)) + 2 is ext-real V14() real set
(2 |^ (b + 2)) * ((((b + 1) |^ 2) - (1 + b)) + 2) is ext-real V14() real set
((2 |^ (b + 2)) * ((((b + 1) |^ 2) - (1 + b)) + 2)) - 4 is ext-real V14() real set
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (2 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) - 4 is ext-real V14() real set
2 |^ (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 - 0 is ext-real V14() real set
(0 - 0) + 2 is ext-real V14() real set
(2 |^ (0 + 1)) * ((0 - 0) + 2) is ext-real V14() real set
((2 |^ (0 + 1)) * ((0 - 0) + 2)) - 4 is ext-real V14() real set
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 |^ 2) - 0 is ext-real V14() real set
((0 |^ 2) - 0) + 2 is ext-real V14() real set
(2 |^ (0 + 1)) * (((0 |^ 2) - 0) + 2) is ext-real V14() real set
((2 |^ (0 + 1)) * (((0 |^ 2) - 0) + 2)) - 4 is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b |^ 2) - b is ext-real V14() real set
((b |^ 2) - b) + 2 is ext-real V14() real set
(2 |^ (b + 1)) * (((b |^ 2) - b) + 2) is ext-real V14() real set
((2 |^ (b + 1)) * (((b |^ 2) - b) + 2)) - 4 is ext-real V14() real set
3 / 4 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 1 is ext-real V14() real Element of REAL
1 - 1 is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 - 1) * (1 + 1) is ext-real V14() real set
1 / ((1 - 1) * (1 + 1)) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * b) is ext-real V14() real Element of COMPLEX
(3 / 4) - (1 / (2 * b)) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * (b + 1)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * b))) - (1 / (2 * (b + 1))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(3 / 4) - (1 / (2 * (b + 1))) is ext-real V14() real Element of COMPLEX
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * ((b + 1) + 1)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) - (1 / (2 * ((b + 1) + 1))) is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(((3 / 4) - (1 / (2 * b))) - (1 / (2 * (b + 1)))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) - 1 is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) - 1) * ((b + 1) + 1) is ext-real V14() real set
1 / (((b + 1) - 1) * ((b + 1) + 1)) is ext-real V14() real Element of COMPLEX
(((3 / 4) - (1 / (2 * b))) - (1 / (2 * (b + 1)))) + (1 / (((b + 1) - 1) * ((b + 1) + 1))) is ext-real V14() real Element of COMPLEX
b * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (b * (b + 2)) is ext-real V14() real Element of COMPLEX
(1 / (b * (b + 2))) - (1 / (2 * b)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + ((1 / (b * (b + 2))) - (1 / (2 * b))) is ext-real V14() real Element of COMPLEX
1 / 2 is ext-real V14() real Element of COMPLEX
1 / b is ext-real V14() real Element of COMPLEX
(1 / 2) * (1 / b) is ext-real V14() real Element of COMPLEX
(1 / (b * (b + 2))) - ((1 / 2) * (1 / b)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + ((1 / (b * (b + 2))) - ((1 / 2) * (1 / b))) is ext-real V14() real Element of COMPLEX
1 / (b + 2) is ext-real V14() real Element of COMPLEX
(1 / b) * (1 / (b + 2)) is ext-real V14() real Element of COMPLEX
((1 / b) * (1 / (b + 2))) - ((1 / 2) * (1 / b)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + (((1 / b) * (1 / (b + 2))) - ((1 / 2) * (1 / b))) is ext-real V14() real Element of COMPLEX
(1 / (b + 2)) - (1 / 2) is ext-real V14() real Element of COMPLEX
((1 / (b + 2)) - (1 / 2)) * (1 / b) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + (((1 / (b + 2)) - (1 / 2)) * (1 / b)) is ext-real V14() real Element of COMPLEX
1 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) - (1 * (b + 2)) is ext-real V14() real set
(b + 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 * 2) - (1 * (b + 2))) / ((b + 2) * 2) is ext-real V14() real Element of COMPLEX
(((1 * 2) - (1 * (b + 2))) / ((b + 2) * 2)) * (1 / b) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + ((((1 * 2) - (1 * (b + 2))) / ((b + 2) * 2)) * (1 / b)) is ext-real V14() real Element of COMPLEX
- b is ext-real V14() real set
(- b) / b is ext-real V14() real Element of COMPLEX
1 / ((b + 2) * 2) is ext-real V14() real Element of COMPLEX
((- b) / b) * (1 / ((b + 2) * 2)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + (((- b) / b) * (1 / ((b + 2) * 2))) is ext-real V14() real Element of COMPLEX
(- 1) * (1 / ((b + 2) * 2)) is ext-real V14() real set
((3 / 4) - (1 / (2 * (b + 1)))) + ((- 1) * (1 / ((b + 2) * 2))) is ext-real V14() real set
2 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * ((b + 1) + 1)) is ext-real V14() real Element of COMPLEX
- (1 / (2 * ((b + 1) + 1))) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * (b + 1)))) + (- (1 / (2 * ((b + 1) + 1)))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (1 + 1) is ext-real V14() real Element of REAL
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
a . 2 is ext-real V14() real Element of REAL
((Partial_Sums a) . (1 + 0)) + (a . 2) is ext-real V14() real set
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . 1) is ext-real V14() real set
(((Partial_Sums a) . 0) + (a . 1)) + (a . 2) is ext-real V14() real set
(a . 0) + (a . 1) is ext-real V14() real set
((a . 0) + (a . 1)) + (a . 2) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
(0 + (a . 1)) + (a . 2) is ext-real V14() real set
2 - 1 is ext-real V14() real set
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 - 1) * (2 + 1) is ext-real V14() real set
1 / ((2 - 1) * (2 + 1)) is ext-real V14() real Element of COMPLEX
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * 2) is ext-real V14() real Element of COMPLEX
(3 / 4) - (1 / (2 * 2)) is ext-real V14() real Element of COMPLEX
2 * (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * (2 + 1)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * 2))) - (1 / (2 * (2 + 1))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 2 is ext-real V14() real Element of REAL
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * (2 + 1)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * 2))) - (1 / (2 * (2 + 1))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * b) is ext-real V14() real Element of COMPLEX
(3 / 4) - (1 / (2 * b)) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * (b + 1)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (1 / (2 * b))) - (1 / (2 * (b + 1))) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b / ((2 * b) + 1) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) / ((2 * (b + 1)) + 1) is ext-real V14() real Element of COMPLEX
(2 * b) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(b / ((2 * b) + 1)) + (a . (b + 1)) is ext-real V14() real set
(2 * (b + 1)) - 1 is ext-real V14() real set
((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1) is ext-real V14() real set
1 / (((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1)) is ext-real V14() real Element of COMPLEX
(b / ((2 * b) + 1)) + (1 / (((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1))) is ext-real V14() real Element of COMPLEX
1 / ((2 * b) + 1) is ext-real V14() real Element of COMPLEX
1 / ((2 * b) + 3) is ext-real V14() real Element of COMPLEX
(1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3)) is ext-real V14() real Element of COMPLEX
(b / ((2 * b) + 1)) + ((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) is ext-real V14() real Element of COMPLEX
b * (1 / ((2 * b) + 1)) is ext-real V14() real set
(b * (1 / ((2 * b) + 1))) + ((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) is ext-real V14() real set
b + (1 / ((2 * b) + 3)) is ext-real V14() real set
(b + (1 / ((2 * b) + 3))) * (1 / ((2 * b) + 1)) is ext-real V14() real set
b * ((2 * b) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * ((2 * b) + 3)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * ((2 * b) + 3)) + 1) / ((2 * b) + 3) is ext-real V14() real Element of COMPLEX
(((b * ((2 * b) + 3)) + 1) / ((2 * b) + 3)) * (1 / ((2 * b) + 1)) is ext-real V14() real Element of COMPLEX
(b + 1) * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((2 * b) + 1)) / ((2 * b) + 3) is ext-real V14() real Element of COMPLEX
(((b + 1) * ((2 * b) + 1)) / ((2 * b) + 3)) * (1 / ((2 * b) + 1)) is ext-real V14() real Element of COMPLEX
(b + 1) / ((2 * b) + 3) is ext-real V14() real Element of COMPLEX
((2 * b) + 1) * ((b + 1) / ((2 * b) + 3)) is ext-real V14() real set
(((2 * b) + 1) * ((b + 1) / ((2 * b) + 3))) * (1 / ((2 * b) + 1)) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) - 1 is ext-real V14() real set
(2 * 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 1) - 1) * ((2 * 1) + 1) is ext-real V14() real set
1 / (((2 * 1) - 1) * ((2 * 1) + 1)) is ext-real V14() real Element of COMPLEX
1 / ((2 * 1) + 1) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b / ((2 * b) + 1) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b / ((3 * b) + 1) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) / ((3 * (b + 1)) + 1) is ext-real V14() real Element of COMPLEX
(3 * b) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(b / ((3 * b) + 1)) + (a . (b + 1)) is ext-real V14() real set
(3 * (b + 1)) - 2 is ext-real V14() real set
((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1) is ext-real V14() real set
1 / (((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1)) is ext-real V14() real Element of COMPLEX
(b / ((3 * b) + 1)) + (1 / (((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1))) is ext-real V14() real Element of COMPLEX
1 / ((3 * b) + 1) is ext-real V14() real Element of COMPLEX
1 / ((3 * b) + 4) is ext-real V14() real Element of COMPLEX
(1 / ((3 * b) + 1)) * (1 / ((3 * b) + 4)) is ext-real V14() real Element of COMPLEX
(b / ((3 * b) + 1)) + ((1 / ((3 * b) + 1)) * (1 / ((3 * b) + 4))) is ext-real V14() real Element of COMPLEX
b * (1 / ((3 * b) + 1)) is ext-real V14() real set
(b * (1 / ((3 * b) + 1))) + ((1 / ((3 * b) + 1)) * (1 / ((3 * b) + 4))) is ext-real V14() real set
b + (1 / ((3 * b) + 4)) is ext-real V14() real set
(b + (1 / ((3 * b) + 4))) * (1 / ((3 * b) + 1)) is ext-real V14() real set
b * ((3 * b) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * ((3 * b) + 4)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * ((3 * b) + 4)) + 1) / ((3 * b) + 4) is ext-real V14() real Element of COMPLEX
(((b * ((3 * b) + 4)) + 1) / ((3 * b) + 4)) * (1 / ((3 * b) + 1)) is ext-real V14() real Element of COMPLEX
(b + 1) * ((3 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((3 * b) + 1)) / ((3 * b) + 4) is ext-real V14() real Element of COMPLEX
(((b + 1) * ((3 * b) + 1)) / ((3 * b) + 4)) * (1 / ((3 * b) + 1)) is ext-real V14() real Element of COMPLEX
(b + 1) / ((3 * b) + 4) is ext-real V14() real Element of COMPLEX
((3 * b) + 1) * ((b + 1) / ((3 * b) + 4)) is ext-real V14() real set
(((3 * b) + 1) * ((b + 1) / ((3 * b) + 4))) * (1 / ((3 * b) + 1)) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
3 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * 1) - 2 is ext-real V14() real set
(3 * 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * 1) - 2) * ((3 * 1) + 1) is ext-real V14() real set
1 / (((3 * 1) - 2) * ((3 * 1) + 1)) is ext-real V14() real Element of COMPLEX
1 / ((3 * 1) + 1) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b / ((3 * b) + 1) is ext-real V14() real Element of COMPLEX
1 / 12 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((2 * b) + 1)) * ((2 * b) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((4 * ((2 * b) + 1)) * ((2 * b) + 3)) is ext-real V14() real Element of COMPLEX
(1 / 12) - (1 / ((4 * ((2 * b) + 1)) * ((2 * b) + 3))) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((2 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((2 * (b + 1)) + 1)) * ((2 * (b + 1)) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((4 * ((2 * (b + 1)) + 1)) * ((2 * (b + 1)) + 3)) is ext-real V14() real Element of COMPLEX
(1 / 12) - (1 / ((4 * ((2 * (b + 1)) + 1)) * ((2 * (b + 1)) + 3))) is ext-real V14() real Element of COMPLEX
(2 * b) + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
((1 / 12) - (1 / ((4 * ((2 * b) + 1)) * ((2 * b) + 3)))) + (a . (b + 1)) is ext-real V14() real set
(2 * (b + 1)) - 1 is ext-real V14() real set
((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1) is ext-real V14() real set
(((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1)) * ((2 * (b + 1)) + 3) is ext-real V14() real set
1 / ((((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1)) * ((2 * (b + 1)) + 3)) is ext-real V14() real Element of COMPLEX
((1 / 12) - (1 / ((4 * ((2 * b) + 1)) * ((2 * b) + 3)))) + (1 / ((((2 * (b + 1)) - 1) * ((2 * (b + 1)) + 1)) * ((2 * (b + 1)) + 3))) is ext-real V14() real Element of COMPLEX
((2 * b) + 1) * ((2 * b) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * (((2 * b) + 1) * ((2 * b) + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (4 * (((2 * b) + 1) * ((2 * b) + 3))) is ext-real V14() real Element of COMPLEX
(1 / 12) - (1 / (4 * (((2 * b) + 1) * ((2 * b) + 3)))) is ext-real V14() real Element of COMPLEX
(((2 * b) + 1) * ((2 * b) + 3)) * ((2 * b) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((((2 * b) + 1) * ((2 * b) + 3)) * ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
((1 / 12) - (1 / (4 * (((2 * b) + 1) * ((2 * b) + 3))))) + (1 / ((((2 * b) + 1) * ((2 * b) + 3)) * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
1 / (((2 * b) + 1) * ((2 * b) + 3)) is ext-real V14() real Element of COMPLEX
(1 / 4) * (1 / (((2 * b) + 1) * ((2 * b) + 3))) is ext-real V14() real Element of COMPLEX
(1 / 12) - ((1 / 4) * (1 / (((2 * b) + 1) * ((2 * b) + 3)))) is ext-real V14() real Element of COMPLEX
((1 / 12) - ((1 / 4) * (1 / (((2 * b) + 1) * ((2 * b) + 3))))) + (1 / ((((2 * b) + 1) * ((2 * b) + 3)) * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
1 / ((2 * b) + 5) is ext-real V14() real Element of COMPLEX
(1 / (((2 * b) + 1) * ((2 * b) + 3))) * (1 / ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
((1 / 12) - ((1 / 4) * (1 / (((2 * b) + 1) * ((2 * b) + 3))))) + ((1 / (((2 * b) + 1) * ((2 * b) + 3))) * (1 / ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
(1 / 4) - (1 / ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
(1 / (((2 * b) + 1) * ((2 * b) + 3))) * ((1 / 4) - (1 / ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
(1 / 12) - ((1 / (((2 * b) + 1) * ((2 * b) + 3))) * ((1 / 4) - (1 / ((2 * b) + 5)))) is ext-real V14() real Element of COMPLEX
1 * ((2 * b) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * ((2 * b) + 5)) - (1 * 4) is ext-real V14() real set
4 * ((2 * b) + 5) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 * ((2 * b) + 5)) - (1 * 4)) / (4 * ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
(1 / (((2 * b) + 1) * ((2 * b) + 3))) * (((1 * ((2 * b) + 5)) - (1 * 4)) / (4 * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
(1 / 12) - ((1 / (((2 * b) + 1) * ((2 * b) + 3))) * (((1 * ((2 * b) + 5)) - (1 * 4)) / (4 * ((2 * b) + 5)))) is ext-real V14() real Element of COMPLEX
1 / ((2 * b) + 1) is ext-real V14() real Element of COMPLEX
1 / ((2 * b) + 3) is ext-real V14() real Element of COMPLEX
(1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3)) is ext-real V14() real Element of COMPLEX
((2 * b) + 1) / (4 * ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) * (((2 * b) + 1) / (4 * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
(1 / 12) - (((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) * (((2 * b) + 1) / (4 * ((2 * b) + 5)))) is ext-real V14() real Element of COMPLEX
((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) * ((2 * b) + 1) is ext-real V14() real set
(((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) * ((2 * b) + 1)) / (4 * ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
(1 / 12) - ((((1 / ((2 * b) + 1)) * (1 / ((2 * b) + 3))) * ((2 * b) + 1)) / (4 * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
(1 / ((2 * b) + 3)) / (4 * ((2 * b) + 5)) is ext-real V14() real Element of COMPLEX
(1 / 12) - ((1 / ((2 * b) + 3)) / (4 * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
((2 * b) + 3) * (4 * ((2 * b) + 5)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((2 * b) + 3) * (4 * ((2 * b) + 5))) is ext-real V14() real Element of COMPLEX
(1 / 12) - (1 / (((2 * b) + 3) * (4 * ((2 * b) + 5)))) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) - 1 is ext-real V14() real set
(2 * 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 1) - 1) * ((2 * 1) + 1) is ext-real V14() real set
(2 * 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * 1) - 1) * ((2 * 1) + 1)) * ((2 * 1) + 3) is ext-real V14() real set
1 / ((((2 * 1) - 1) * ((2 * 1) + 1)) * ((2 * 1) + 3)) is ext-real V14() real Element of COMPLEX
4 * ((2 * 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((2 * 1) + 1)) * ((2 * 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((4 * ((2 * 1) + 1)) * ((2 * 1) + 3)) is ext-real V14() real Element of COMPLEX
(1 / 12) - (1 / ((4 * ((2 * 1) + 1)) * ((2 * 1) + 3))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 * ((2 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((2 * b) + 1)) * ((2 * b) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((4 * ((2 * b) + 1)) * ((2 * b) + 3)) is ext-real V14() real Element of COMPLEX
(1 / 12) - (1 / ((4 * ((2 * b) + 1)) * ((2 * b) + 3))) is ext-real V14() real Element of COMPLEX
1 / 24 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((3 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * ((3 * b) + 1)) * ((3 * b) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((6 * ((3 * b) + 1)) * ((3 * b) + 4)) is ext-real V14() real Element of COMPLEX
(1 / 24) - (1 / ((6 * ((3 * b) + 1)) * ((3 * b) + 4))) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((3 * (b + 1)) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * ((3 * (b + 1)) + 1)) * ((3 * (b + 1)) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((6 * ((3 * (b + 1)) + 1)) * ((3 * (b + 1)) + 4)) is ext-real V14() real Element of COMPLEX
(1 / 24) - (1 / ((6 * ((3 * (b + 1)) + 1)) * ((3 * (b + 1)) + 4))) is ext-real V14() real Element of COMPLEX
(3 * b) + 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
((1 / 24) - (1 / ((6 * ((3 * b) + 1)) * ((3 * b) + 4)))) + (a . (b + 1)) is ext-real V14() real set
(3 * (b + 1)) - 2 is ext-real V14() real set
((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1) is ext-real V14() real set
(((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1)) * ((3 * (b + 1)) + 4) is ext-real V14() real set
1 / ((((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1)) * ((3 * (b + 1)) + 4)) is ext-real V14() real Element of COMPLEX
((1 / 24) - (1 / ((6 * ((3 * b) + 1)) * ((3 * b) + 4)))) + (1 / ((((3 * (b + 1)) - 2) * ((3 * (b + 1)) + 1)) * ((3 * (b + 1)) + 4))) is ext-real V14() real Element of COMPLEX
((3 * b) + 1) * ((3 * b) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * (((3 * b) + 1) * ((3 * b) + 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (6 * (((3 * b) + 1) * ((3 * b) + 4))) is ext-real V14() real Element of COMPLEX
(1 / 24) - (1 / (6 * (((3 * b) + 1) * ((3 * b) + 4)))) is ext-real V14() real Element of COMPLEX
(((3 * b) + 1) * ((3 * b) + 4)) * ((3 * b) + 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((((3 * b) + 1) * ((3 * b) + 4)) * ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
((1 / 24) - (1 / (6 * (((3 * b) + 1) * ((3 * b) + 4))))) + (1 / ((((3 * b) + 1) * ((3 * b) + 4)) * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
1 / 6 is ext-real V14() real Element of COMPLEX
1 / (((3 * b) + 1) * ((3 * b) + 4)) is ext-real V14() real Element of COMPLEX
(1 / 6) * (1 / (((3 * b) + 1) * ((3 * b) + 4))) is ext-real V14() real Element of COMPLEX
(1 / 24) - ((1 / 6) * (1 / (((3 * b) + 1) * ((3 * b) + 4)))) is ext-real V14() real Element of COMPLEX
((1 / 24) - ((1 / 6) * (1 / (((3 * b) + 1) * ((3 * b) + 4))))) + (1 / ((((3 * b) + 1) * ((3 * b) + 4)) * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
1 / ((3 * b) + 7) is ext-real V14() real Element of COMPLEX
(1 / (((3 * b) + 1) * ((3 * b) + 4))) * (1 / ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
((1 / 24) - ((1 / 6) * (1 / (((3 * b) + 1) * ((3 * b) + 4))))) + ((1 / (((3 * b) + 1) * ((3 * b) + 4))) * (1 / ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
(1 / 6) - (1 / ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
(1 / (((3 * b) + 1) * ((3 * b) + 4))) * ((1 / 6) - (1 / ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
(1 / 24) - ((1 / (((3 * b) + 1) * ((3 * b) + 4))) * ((1 / 6) - (1 / ((3 * b) + 7)))) is ext-real V14() real Element of COMPLEX
1 * ((3 * b) + 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * ((3 * b) + 7)) - (1 * 6) is ext-real V14() real set
6 * ((3 * b) + 7) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 * ((3 * b) + 7)) - (1 * 6)) / (6 * ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
(1 / (((3 * b) + 1) * ((3 * b) + 4))) * (((1 * ((3 * b) + 7)) - (1 * 6)) / (6 * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
(1 / 24) - ((1 / (((3 * b) + 1) * ((3 * b) + 4))) * (((1 * ((3 * b) + 7)) - (1 * 6)) / (6 * ((3 * b) + 7)))) is ext-real V14() real Element of COMPLEX
1 / ((3 * b) + 4) is ext-real V14() real Element of COMPLEX
1 / ((3 * b) + 1) is ext-real V14() real Element of COMPLEX
(1 / ((3 * b) + 4)) * (1 / ((3 * b) + 1)) is ext-real V14() real Element of COMPLEX
((3 * b) + 1) / (6 * ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
((1 / ((3 * b) + 4)) * (1 / ((3 * b) + 1))) * (((3 * b) + 1) / (6 * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
(1 / 24) - (((1 / ((3 * b) + 4)) * (1 / ((3 * b) + 1))) * (((3 * b) + 1) / (6 * ((3 * b) + 7)))) is ext-real V14() real Element of COMPLEX
((1 / ((3 * b) + 4)) * (1 / ((3 * b) + 1))) * ((3 * b) + 1) is ext-real V14() real set
(((1 / ((3 * b) + 4)) * (1 / ((3 * b) + 1))) * ((3 * b) + 1)) / (6 * ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
(1 / 24) - ((((1 / ((3 * b) + 4)) * (1 / ((3 * b) + 1))) * ((3 * b) + 1)) / (6 * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
(1 / ((3 * b) + 4)) / (6 * ((3 * b) + 7)) is ext-real V14() real Element of COMPLEX
(1 / 24) - ((1 / ((3 * b) + 4)) / (6 * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
((3 * b) + 4) * (6 * ((3 * b) + 7)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((3 * b) + 4) * (6 * ((3 * b) + 7))) is ext-real V14() real Element of COMPLEX
(1 / 24) - (1 / (((3 * b) + 4) * (6 * ((3 * b) + 7)))) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
3 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * 1) - 2 is ext-real V14() real set
(3 * 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * 1) - 2) * ((3 * 1) + 1) is ext-real V14() real set
(3 * 1) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * 1) - 2) * ((3 * 1) + 1)) * ((3 * 1) + 4) is ext-real V14() real set
1 / ((((3 * 1) - 2) * ((3 * 1) + 1)) * ((3 * 1) + 4)) is ext-real V14() real Element of COMPLEX
6 * ((3 * 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * ((3 * 1) + 1)) * ((3 * 1) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((6 * ((3 * 1) + 1)) * ((3 * 1) + 4)) is ext-real V14() real Element of COMPLEX
(1 / 24) - (1 / ((6 * ((3 * 1) + 1)) * ((3 * 1) + 4))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
3 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
6 * ((3 * b) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * b) + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * ((3 * b) + 1)) * ((3 * b) + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((6 * ((3 * b) + 1)) * ((3 * b) + 4)) is ext-real V14() real Element of COMPLEX
(1 / 24) - (1 / ((6 * ((3 * b) + 1)) * ((3 * b) + 4))) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) - 1 is ext-real V14() real set
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 0) - 1) / ((0 * (0 + 1)) * (0 + 2)) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / (b + 2) is ext-real V14() real Element of COMPLEX
(3 / 4) - (2 / (b + 2)) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (b + 1)) * (b + 2)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (2 / (b + 2))) + (1 / ((2 * (b + 1)) * (b + 2))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / ((b + 1) + 2) is ext-real V14() real Element of COMPLEX
(3 / 4) - (2 / ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (2 / ((b + 1) + 2))) + (1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(((3 / 4) - (2 / (b + 2))) + (1 / ((2 * (b + 1)) * (b + 2)))) + (a . (b + 1)) is ext-real V14() real set
(2 * (b + 1)) - 1 is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b + 1)) - 1) / (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
(((3 / 4) - (2 / (b + 2))) + (1 / ((2 * (b + 1)) * (b + 2)))) + (((2 * (b + 1)) - 1) / (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
2 * ((b + 1) * (b + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * ((b + 1) * (b + 2))) is ext-real V14() real Element of COMPLEX
(2 / (b + 2)) - (1 / (2 * ((b + 1) * (b + 2)))) is ext-real V14() real Element of COMPLEX
(3 / 4) - ((2 / (b + 2)) - (1 / (2 * ((b + 1) * (b + 2))))) is ext-real V14() real Element of COMPLEX
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * b) + 1) / (((b + 1) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
((3 / 4) - ((2 / (b + 2)) - (1 / (2 * ((b + 1) * (b + 2)))))) + (((2 * b) + 1) / (((b + 1) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(b + 2) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) / ((b + 2) * (b + 1)) is ext-real V14() real Element of COMPLEX
((2 * (b + 1)) / ((b + 2) * (b + 1))) - (1 / (2 * ((b + 1) * (b + 2)))) is ext-real V14() real Element of COMPLEX
(3 / 4) - (((2 * (b + 1)) / ((b + 2) * (b + 1))) - (1 / (2 * ((b + 1) * (b + 2))))) is ext-real V14() real Element of COMPLEX
((3 / 4) - (((2 * (b + 1)) / ((b + 2) * (b + 1))) - (1 / (2 * ((b + 1) * (b + 2)))))) + (((2 * b) + 1) / (((b + 1) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(2 * (b + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 2)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b + 1)) * 2) / ((2 * (b + 2)) * (b + 1)) is ext-real V14() real Element of COMPLEX
(((2 * (b + 1)) * 2) / ((2 * (b + 2)) * (b + 1))) - (1 / (2 * ((b + 1) * (b + 2)))) is ext-real V14() real Element of COMPLEX
(3 / 4) - ((((2 * (b + 1)) * 2) / ((2 * (b + 2)) * (b + 1))) - (1 / (2 * ((b + 1) * (b + 2))))) is ext-real V14() real Element of COMPLEX
((3 / 4) - ((((2 * (b + 1)) * 2) / ((2 * (b + 2)) * (b + 1))) - (1 / (2 * ((b + 1) * (b + 2)))))) + (((2 * b) + 1) / (((b + 1) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
4 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (b + 1)) - 1 is ext-real V14() real set
2 * ((b + 2) * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (b + 1)) - 1) / (2 * ((b + 2) * (b + 1))) is ext-real V14() real Element of COMPLEX
(3 / 4) - (((4 * (b + 1)) - 1) / (2 * ((b + 2) * (b + 1)))) is ext-real V14() real Element of COMPLEX
((3 / 4) - (((4 * (b + 1)) - 1) / (2 * ((b + 2) * (b + 1))))) + (((2 * b) + 1) / (((b + 1) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
4 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * b) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * b) + 3) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 2) * (b + 1))) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * b) + 3) * (b + 3)) / ((2 * ((b + 2) * (b + 1))) * (b + 3)) is ext-real V14() real Element of COMPLEX
(3 / 4) - ((((4 * b) + 3) * (b + 3)) / ((2 * ((b + 2) * (b + 1))) * (b + 3))) is ext-real V14() real Element of COMPLEX
((3 / 4) - ((((4 * b) + 3) * (b + 3)) / ((2 * ((b + 2) * (b + 1))) * (b + 3)))) + (((2 * b) + 1) / (((b + 1) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
((2 * b) + 1) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * b) + 1) * 2) / ((((b + 1) * (b + 2)) * (b + 3)) * 2) is ext-real V14() real Element of COMPLEX
((3 / 4) - ((((4 * b) + 3) * (b + 3)) / ((2 * ((b + 2) * (b + 1))) * (b + 3)))) + ((((2 * b) + 1) * 2) / ((((b + 1) * (b + 2)) * (b + 3)) * 2)) is ext-real V14() real Element of COMPLEX
((((4 * b) + 3) * (b + 3)) / ((2 * ((b + 2) * (b + 1))) * (b + 3))) - ((((2 * b) + 1) * 2) / ((((b + 1) * (b + 2)) * (b + 3)) * 2)) is ext-real V14() real Element of COMPLEX
(3 / 4) - (((((4 * b) + 3) * (b + 3)) / ((2 * ((b + 2) * (b + 1))) * (b + 3))) - ((((2 * b) + 1) * 2) / ((((b + 1) * (b + 2)) * (b + 3)) * 2))) is ext-real V14() real Element of COMPLEX
(((4 * b) + 3) * (b + 3)) - (((2 * b) + 1) * 2) is ext-real V14() real set
((((4 * b) + 3) * (b + 3)) - (((2 * b) + 1) * 2)) / ((2 * ((b + 2) * (b + 1))) * (b + 3)) is ext-real V14() real Element of COMPLEX
(3 / 4) - (((((4 * b) + 3) * (b + 3)) - (((2 * b) + 1) * 2)) / ((2 * ((b + 2) * (b + 1))) * (b + 3))) is ext-real V14() real Element of COMPLEX
(4 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (b + 1)) * (b + 2)) - (b + 1) is ext-real V14() real set
(((4 * (b + 1)) * (b + 2)) - (b + 1)) / ((2 * ((b + 2) * (b + 1))) * (b + 3)) is ext-real V14() real Element of COMPLEX
(3 / 4) - ((((4 * (b + 1)) * (b + 2)) - (b + 1)) / ((2 * ((b + 2) * (b + 1))) * (b + 3))) is ext-real V14() real Element of COMPLEX
4 * ((b + 1) * (b + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 3)) * ((b + 2) * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * ((b + 1) * (b + 2))) / ((2 * (b + 3)) * ((b + 2) * (b + 1))) is ext-real V14() real Element of COMPLEX
(b + 1) / ((2 * ((b + 2) * (b + 1))) * (b + 3)) is ext-real V14() real Element of COMPLEX
((4 * ((b + 1) * (b + 2))) / ((2 * (b + 3)) * ((b + 2) * (b + 1)))) - ((b + 1) / ((2 * ((b + 2) * (b + 1))) * (b + 3))) is ext-real V14() real Element of COMPLEX
(3 / 4) - (((4 * ((b + 1) * (b + 2))) / ((2 * (b + 3)) * ((b + 2) * (b + 1)))) - ((b + 1) / ((2 * ((b + 2) * (b + 1))) * (b + 3)))) is ext-real V14() real Element of COMPLEX
4 / (2 * (b + 3)) is ext-real V14() real Element of COMPLEX
1 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b + 2)) * (b + 3)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1)) is ext-real V14() real Element of COMPLEX
(4 / (2 * (b + 3))) - ((1 * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1))) is ext-real V14() real Element of COMPLEX
(3 / 4) - ((4 / (2 * (b + 3))) - ((1 * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1)))) is ext-real V14() real Element of COMPLEX
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 3) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) / ((b + 3) * 2) is ext-real V14() real Element of COMPLEX
1 / ((2 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
((2 * 2) / ((b + 3) * 2)) - (1 / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(3 / 4) - (((2 * 2) / ((b + 3) * 2)) - (1 / ((2 * (b + 2)) * (b + 3)))) is ext-real V14() real Element of COMPLEX
2 / ((b + 1) + 2) is ext-real V14() real Element of COMPLEX
2 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
(2 / ((b + 1) + 2)) - (1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
(3 / 4) - ((2 / ((b + 1) + 2)) - (1 / ((2 * ((b + 1) + 1)) * ((b + 1) + 2)))) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) - 1 is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (1 + 1)) * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 1) - 1) / ((1 * (1 + 1)) * (1 + 2)) is ext-real V14() real Element of COMPLEX
2 / (1 + 2) is ext-real V14() real Element of COMPLEX
(3 / 4) - (2 / (1 + 2)) is ext-real V14() real Element of COMPLEX
2 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 + 1)) * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (1 + 1)) * (1 + 2)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (2 / (1 + 2))) + (1 / ((2 * (1 + 1)) * (1 + 2))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / (1 + 2) is ext-real V14() real Element of COMPLEX
(3 / 4) - (2 / (1 + 2)) is ext-real V14() real Element of COMPLEX
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 + 1)) * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (1 + 1)) * (1 + 2)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (2 / (1 + 2))) + (1 / ((2 * (1 + 1)) * (1 + 2))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / (b + 2) is ext-real V14() real Element of COMPLEX
(3 / 4) - (2 / (b + 2)) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((2 * (b + 1)) * (b + 2)) is ext-real V14() real Element of COMPLEX
((3 / 4) - (2 / (b + 2))) + (1 / ((2 * (b + 1)) * (b + 2))) is ext-real V14() real Element of COMPLEX
29 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
36 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
29 / 36 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 2) / ((0 * (0 + 1)) * (0 + 3)) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (b + 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (1 / (b + 3)) is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((2 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (1 / (b + 3))) - (3 / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (1 / (b + 3))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) + 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (1 / ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((2 * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (1 / ((b + 1) + 3))) - (3 / ((2 * ((b + 1) + 2)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 / (((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (1 / ((b + 1) + 3))) - (3 / ((2 * ((b + 1) + 2)) * ((b + 1) + 3)))) - (4 / (((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
b + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 3)) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
((((29 / 36) - (1 / (b + 3))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) / (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
((((29 / 36) - (1 / (b + 3))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + (((b + 1) + 2) / (((b + 1) * ((b + 1) + 1)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
1 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 3) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b + 2)) / ((b + 3) * (b + 2)) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((1 * (b + 2)) / ((b + 3) * (b + 2))) is ext-real V14() real Element of COMPLEX
((29 / 36) - ((1 * (b + 2)) / ((b + 3) * (b + 2)))) - (3 / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((29 / 36) - ((1 * (b + 2)) / ((b + 3) * (b + 2)))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
((b + 1) * (b + 2)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 3) / (((b + 1) * (b + 2)) * (b + 4)) is ext-real V14() real Element of COMPLEX
((((29 / 36) - ((1 * (b + 2)) / ((b + 3) * (b + 2)))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(b + 2) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (b + 3)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * 2) / (((b + 2) * (b + 3)) * 2) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((b + 2) * 2) / (((b + 2) * (b + 3)) * 2)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((b + 2) * 2) / (((b + 2) * (b + 3)) * 2))) - (3 / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (((b + 2) * 2) / (((b + 2) * (b + 3)) * 2))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
((((29 / 36) - (((b + 2) * 2) / (((b + 2) * (b + 3)) * 2))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(((b + 2) * 2) / (((b + 2) * (b + 3)) * 2)) + (3 / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((b + 2) * 2) / (((b + 2) * (b + 3)) * 2)) + (3 / ((2 * (b + 2)) * (b + 3)))) is ext-real V14() real Element of COMPLEX
((29 / 36) - ((((b + 2) * 2) / (((b + 2) * (b + 3)) * 2)) + (3 / ((2 * (b + 2)) * (b + 3))))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((29 / 36) - ((((b + 2) * 2) / (((b + 2) * (b + 3)) * 2)) + (3 / ((2 * (b + 2)) * (b + 3))))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
((b + 2) * 2) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 2) * 2) + 3) / ((2 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((b + 2) * 2) + 3) / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
((29 / 36) - ((((b + 2) * 2) + 3) / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((29 / 36) - ((((b + 2) * 2) + 3) / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
b * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b * 2) + 7 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b * 2) + 7) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b + 2)) * (b + 3)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b * 2) + 7) * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1)) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((b * 2) + 7) * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1))) is ext-real V14() real Element of COMPLEX
((29 / 36) - ((((b * 2) + 7) * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((29 / 36) - ((((b * 2) + 7) * (b + 1)) / (((2 * (b + 2)) * (b + 3)) * (b + 1)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(((b * 2) + 7) * (b + 1)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * 2) + 7) * (b + 1)) * 3) / ((((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((((b * 2) + 7) * (b + 1)) * 3) / ((((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((b * 2) + 7) * (b + 1)) * 3) / ((((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (((((b * 2) + 7) * (b + 1)) * 3) / ((((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
4 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b + 1)) * (b + 2)) * (b + 3)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * 2) / ((((3 * (b + 1)) * (b + 2)) * (b + 3)) * 2) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((b * 2) + 7) * (b + 1)) * 3) / ((((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3))) - ((4 * 2) / ((((3 * (b + 1)) * (b + 2)) * (b + 3)) * 2)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (((((b * 2) + 7) * (b + 1)) * 3) / ((((2 * (b + 2)) * (b + 3)) * (b + 1)) * 3))) - ((4 * 2) / ((((3 * (b + 1)) * (b + 2)) * (b + 3)) * 2))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
6 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b + 2)) * (b + 3)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b * 2) + 7) * (b + 1)) * 3) / (((6 * (b + 2)) * (b + 3)) * (b + 1)) is ext-real V14() real Element of COMPLEX
6 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(6 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((6 * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 / (((6 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(((((b * 2) + 7) * (b + 1)) * 3) / (((6 * (b + 2)) * (b + 3)) * (b + 1))) + (8 / (((6 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((((b * 2) + 7) * (b + 1)) * 3) / (((6 * (b + 2)) * (b + 3)) * (b + 1))) + (8 / (((6 * (b + 1)) * (b + 2)) * (b + 3)))) is ext-real V14() real Element of COMPLEX
((29 / 36) - ((((((b * 2) + 7) * (b + 1)) * 3) / (((6 * (b + 2)) * (b + 3)) * (b + 1))) + (8 / (((6 * (b + 1)) * (b + 2)) * (b + 3))))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
((((b * 2) + 7) * (b + 1)) * 3) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (b + 2)) * (b + 3)) * (b + 1)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 2)) * (b + 3)) * (b + 1)) * (b + 4)) is ext-real V14() real Element of COMPLEX
((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 2)) * (b + 3)) * (b + 1)) * (b + 4))) + (8 / (((6 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 2)) * (b + 3)) * (b + 1)) * (b + 4))) + (8 / (((6 * (b + 1)) * (b + 2)) * (b + 3)))) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 2)) * (b + 3)) * (b + 1)) * (b + 4))) + (8 / (((6 * (b + 1)) * (b + 2)) * (b + 3))))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
8 * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(8 * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) + ((8 * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) + ((8 * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) + ((8 * (b + 4)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) + ((b + 3) / (((b + 1) * (b + 2)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(b + 3) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) * (b + 2)) * (b + 4)) * 6 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 3) * 6) / ((((b + 1) * (b + 2)) * (b + 4)) * 6) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) + (((b + 3) * 6) / ((((b + 1) * (b + 2)) * (b + 4)) * 6)) is ext-real V14() real Element of COMPLEX
((b + 3) * 6) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) * (b + 2)) * (b + 4)) * 6) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 3) * 6) * (b + 3)) / (((((b + 1) * (b + 2)) * (b + 4)) * 6) * (b + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) + ((((b + 3) * 6) * (b + 3)) / (((((b + 1) * (b + 2)) * (b + 4)) * 6) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) - ((((b + 3) * 6) * (b + 3)) / (((((b + 1) * (b + 2)) * (b + 4)) * 6) * (b + 3))) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) - ((((b + 3) * 6) * (b + 3)) / (((((b + 1) * (b + 2)) * (b + 4)) * 6) * (b + 3)))) is ext-real V14() real Element of COMPLEX
((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) - (((b + 3) * 6) * (b + 3)) is ext-real V14() real set
(((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) - (((b + 3) * 6) * (b + 3))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((((((b * 2) + 7) * (b + 1)) * 3) * (b + 4)) + (8 * (b + 4))) - (((b + 3) * 6) * (b + 3))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
9 is ext-real positive V4() natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
9 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(9 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
8 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2))) + (8 * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2))) + (8 * (b + 1))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2))) + (8 * (b + 1))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
((((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(((((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) + ((8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((((6 * (b + 1)) * (b + 2)) * (b + 3)) + ((9 * (b + 1)) * (b + 2))) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) + ((8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) is ext-real V14() real Element of COMPLEX
1 * (((6 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 4) * (((6 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (((6 * (b + 1)) * (b + 2)) * (b + 3))) / ((b + 4) * (((6 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
((9 * (b + 1)) * (b + 2)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
((1 * (((6 * (b + 1)) * (b + 2)) * (b + 3))) / ((b + 4) * (((6 * (b + 1)) * (b + 2)) * (b + 3)))) + (((9 * (b + 1)) * (b + 2)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(((1 * (((6 * (b + 1)) * (b + 2)) * (b + 3))) / ((b + 4) * (((6 * (b + 1)) * (b + 2)) * (b + 3)))) + (((9 * (b + 1)) * (b + 2)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) + ((8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(29 / 36) - ((((1 * (((6 * (b + 1)) * (b + 2)) * (b + 3))) / ((b + 4) * (((6 * (b + 1)) * (b + 2)) * (b + 3)))) + (((9 * (b + 1)) * (b + 2)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) + ((8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) is ext-real V14() real Element of COMPLEX
1 / (b + 4) is ext-real V14() real Element of COMPLEX
3 * ((3 * (b + 1)) * (b + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b + 3)) * (b + 4)) * ((3 * (b + 1)) * (b + 2)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((3 * (b + 1)) * (b + 2))) / (((2 * (b + 3)) * (b + 4)) * ((3 * (b + 1)) * (b + 2))) is ext-real V14() real Element of COMPLEX
(1 / (b + 4)) + ((3 * ((3 * (b + 1)) * (b + 2))) / (((2 * (b + 3)) * (b + 4)) * ((3 * (b + 1)) * (b + 2)))) is ext-real V14() real Element of COMPLEX
((1 / (b + 4)) + ((3 * ((3 * (b + 1)) * (b + 2))) / (((2 * (b + 3)) * (b + 4)) * ((3 * (b + 1)) * (b + 2))))) + ((8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((1 / (b + 4)) + ((3 * ((3 * (b + 1)) * (b + 2))) / (((2 * (b + 3)) * (b + 4)) * ((3 * (b + 1)) * (b + 2))))) + ((8 * (b + 1)) / ((((6 * (b + 1)) * (b + 2)) * (b + 3)) * (b + 4)))) is ext-real V14() real Element of COMPLEX
3 / ((2 * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
(1 / (b + 4)) + (3 / ((2 * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
4 * (2 * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 2)) * (b + 3)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((3 * (b + 2)) * (b + 3)) * (b + 4)) * (2 * (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (2 * (b + 1))) / ((((3 * (b + 2)) * (b + 3)) * (b + 4)) * (2 * (b + 1))) is ext-real V14() real Element of COMPLEX
((1 / (b + 4)) + (3 / ((2 * (b + 3)) * (b + 4)))) + ((4 * (2 * (b + 1))) / ((((3 * (b + 2)) * (b + 3)) * (b + 4)) * (2 * (b + 1)))) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((1 / (b + 4)) + (3 / ((2 * (b + 3)) * (b + 4)))) + ((4 * (2 * (b + 1))) / ((((3 * (b + 2)) * (b + 3)) * (b + 4)) * (2 * (b + 1))))) is ext-real V14() real Element of COMPLEX
4 / (((3 * (b + 2)) * (b + 3)) * (b + 4)) is ext-real V14() real Element of COMPLEX
((1 / (b + 4)) + (3 / ((2 * (b + 3)) * (b + 4)))) + (4 / (((3 * (b + 2)) * (b + 3)) * (b + 4))) is ext-real V14() real Element of COMPLEX
(29 / 36) - (((1 / (b + 4)) + (3 / ((2 * (b + 3)) * (b + 4)))) + (4 / (((3 * (b + 2)) * (b + 3)) * (b + 4)))) is ext-real V14() real Element of COMPLEX
1 / ((b + 1) + 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (1 / ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
2 * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((2 * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (1 / ((b + 1) + 3))) - (3 / ((2 * ((b + 1) + 2)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
3 * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * ((b + 1) + 1)) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 / (((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (1 / ((b + 1) + 3))) - (3 / ((2 * ((b + 1) + 2)) * ((b + 1) + 3)))) - (4 / (((3 * ((b + 1) + 1)) * ((b + 1) + 2)) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (1 + 1)) * (1 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) / ((1 * (1 + 1)) * (1 + 3)) is ext-real V14() real Element of COMPLEX
1 / (1 + 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (1 / (1 + 3)) is ext-real V14() real Element of COMPLEX
2 * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 + 2)) * (1 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((2 * (1 + 2)) * (1 + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (1 / (1 + 3))) - (3 / ((2 * (1 + 2)) * (1 + 3))) is ext-real V14() real Element of COMPLEX
3 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (1 + 1)) * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (1 + 1)) * (1 + 2)) * (1 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 / (((3 * (1 + 1)) * (1 + 2)) * (1 + 3)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (1 / (1 + 3))) - (3 / ((2 * (1 + 2)) * (1 + 3)))) - (4 / (((3 * (1 + 1)) * (1 + 2)) * (1 + 3))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (1 + 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (1 / (1 + 3)) is ext-real V14() real Element of COMPLEX
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (1 + 2)) * (1 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((2 * (1 + 2)) * (1 + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (1 / (1 + 3))) - (3 / ((2 * (1 + 2)) * (1 + 3))) is ext-real V14() real Element of COMPLEX
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (1 + 1)) * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (1 + 1)) * (1 + 2)) * (1 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 / (((3 * (1 + 1)) * (1 + 2)) * (1 + 3)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (1 / (1 + 3))) - (3 / ((2 * (1 + 2)) * (1 + 3)))) - (4 / (((3 * (1 + 1)) * (1 + 2)) * (1 + 3))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (b + 3) is ext-real V14() real Element of COMPLEX
(29 / 36) - (1 / (b + 3)) is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((2 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
((29 / 36) - (1 / (b + 3))) - (3 / ((2 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 1)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((3 * (b + 1)) * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 / (((3 * (b + 1)) * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(((29 / 36) - (1 / (b + 3))) - (3 / ((2 * (b + 2)) * (b + 3)))) - (4 / (((3 * (b + 1)) * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
1 / 2 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 1)) / (b + 3) is ext-real V14() real Element of COMPLEX
((2 |^ (b + 1)) / (b + 3)) - (1 / 2) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ ((b + 1) + 1)) / ((b + 1) + 3) is ext-real V14() real Element of COMPLEX
((2 |^ ((b + 1) + 1)) / ((b + 1) + 3)) - (1 / 2) is ext-real V14() real Element of COMPLEX
b + 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(((2 |^ (b + 1)) / (b + 3)) - (1 / 2)) + (a . (b + 1)) is ext-real V14() real set
((b + 1) + 1) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) * ((b + 1) + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) + 1) * (2 |^ (b + 1))) / (((b + 1) + 2) * ((b + 1) + 3)) is ext-real V14() real Element of COMPLEX
(((2 |^ (b + 1)) / (b + 3)) - (1 / 2)) + ((((b + 1) + 1) * (2 |^ (b + 1))) / (((b + 1) + 2) * ((b + 1) + 3))) is ext-real V14() real Element of COMPLEX
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 3) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (2 |^ (b + 1))) / ((b + 3) * (b + 4)) is ext-real V14() real Element of COMPLEX
((2 |^ (b + 1)) / (b + 3)) + (((b + 2) * (2 |^ (b + 1))) / ((b + 3) * (b + 4))) is ext-real V14() real Element of COMPLEX
(((2 |^ (b + 1)) / (b + 3)) + (((b + 2) * (2 |^ (b + 1))) / ((b + 3) * (b + 4)))) - (1 / 2) is ext-real V14() real Element of COMPLEX
(2 |^ (b + 1)) * (b + 4) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 1)) * (b + 4)) / ((b + 3) * (b + 4)) is ext-real V14() real Element of COMPLEX
(((2 |^ (b + 1)) * (b + 4)) / ((b + 3) * (b + 4))) + (((b + 2) * (2 |^ (b + 1))) / ((b + 3) * (b + 4))) is ext-real V14() real Element of COMPLEX
((((2 |^ (b + 1)) * (b + 4)) / ((b + 3) * (b + 4))) + (((b + 2) * (2 |^ (b + 1))) / ((b + 3) * (b + 4)))) - (1 / 2) is ext-real V14() real Element of COMPLEX
((2 |^ (b + 1)) * (b + 4)) + ((b + 2) * (2 |^ (b + 1))) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 |^ (b + 1)) * (b + 4)) + ((b + 2) * (2 |^ (b + 1)))) / ((b + 3) * (b + 4)) is ext-real V14() real Element of COMPLEX
((((2 |^ (b + 1)) * (b + 4)) + ((b + 2) * (2 |^ (b + 1)))) / ((b + 3) * (b + 4))) - (1 / 2) is ext-real V14() real Element of COMPLEX
(2 |^ (b + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 1)) * 2) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 4) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((2 |^ (b + 1)) * 2) * (b + 3)) / ((b + 4) * (b + 3)) is ext-real V14() real Element of COMPLEX
((((2 |^ (b + 1)) * 2) * (b + 3)) / ((b + 4) * (b + 3))) - (1 / 2) is ext-real V14() real Element of COMPLEX
((2 |^ (b + 1)) * 2) / (b + 4) is ext-real V14() real Element of COMPLEX
(((2 |^ (b + 1)) * 2) / (b + 4)) - (1 / 2) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) * (2 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 2) * (0 + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 + 1) * (2 |^ 0)) / ((0 + 2) * (0 + 3)) is ext-real V14() real Element of COMPLEX
1 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 1) / 6 is ext-real V14() real Element of COMPLEX
2 / 3 is ext-real V14() real Element of COMPLEX
(2 / 3) - (1 / 2) is ext-real V14() real Element of COMPLEX
2 |^ (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (0 + 1)) / (0 + 3) is ext-real V14() real Element of COMPLEX
((2 |^ (0 + 1)) / (0 + 3)) - (1 / 2) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 1)) / (b + 3) is ext-real V14() real Element of COMPLEX
((2 |^ (b + 1)) / (b + 3)) - (1 / 2) is ext-real V14() real Element of COMPLEX
2 / 3 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
0 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 |^ 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 |^ 2) * (4 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) * (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((0 |^ 2) * (4 |^ 0)) / ((0 + 1) * (0 + 2)) is ext-real V14() real Element of COMPLEX
0 * (4 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (4 |^ 0)) / (1 * 2) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b - 1 is ext-real V14() real set
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b - 1) * (4 |^ (b + 1)) is ext-real V14() real set
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b - 1) * (4 |^ (b + 1))) / (3 * (b + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((b - 1) * (4 |^ (b + 1))) / (3 * (b + 2))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) - 1 is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) - 1) * (4 |^ ((b + 1) + 1)) is ext-real V14() real set
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) - 1) * (4 |^ ((b + 1) + 1))) / (3 * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + ((((b + 1) - 1) * (4 |^ ((b + 1) + 1))) / (3 * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
((2 / 3) + (((b - 1) * (4 |^ (b + 1))) / (3 * (b + 2)))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) * (4 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * (4 |^ (b + 1))) / (((b + 1) + 1) * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
((2 / 3) + (((b - 1) * (4 |^ (b + 1))) / (3 * (b + 2)))) + ((((b + 1) |^ 2) * (4 |^ (b + 1))) / (((b + 1) + 1) * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
((b - 1) * (4 |^ (b + 1))) * (b + 3) is ext-real V14() real set
(3 * (b + 2)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b - 1) * (4 |^ (b + 1))) * (b + 3)) / ((3 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(2 / 3) + ((((b - 1) * (4 |^ (b + 1))) * (b + 3)) / ((3 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(b + 2) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) * (4 |^ (b + 1))) / ((b + 2) * (b + 3)) is ext-real V14() real Element of COMPLEX
((2 / 3) + ((((b - 1) * (4 |^ (b + 1))) * (b + 3)) / ((3 * (b + 2)) * (b + 3)))) + ((((b + 1) |^ 2) * (4 |^ (b + 1))) / ((b + 2) * (b + 3))) is ext-real V14() real Element of COMPLEX
(((b + 1) |^ 2) * (4 |^ (b + 1))) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (b + 3)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3) / (((b + 2) * (b + 3)) * 3) is ext-real V14() real Element of COMPLEX
((2 / 3) + ((((b - 1) * (4 |^ (b + 1))) * (b + 3)) / ((3 * (b + 2)) * (b + 3)))) + (((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3) / (((b + 2) * (b + 3)) * 3)) is ext-real V14() real Element of COMPLEX
((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3) / ((3 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
((((b - 1) * (4 |^ (b + 1))) * (b + 3)) / ((3 * (b + 2)) * (b + 3))) + (((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3) / ((3 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((((b - 1) * (4 |^ (b + 1))) * (b + 3)) / ((3 * (b + 2)) * (b + 3))) + (((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3) / ((3 * (b + 2)) * (b + 3)))) is ext-real V14() real Element of COMPLEX
(((b - 1) * (4 |^ (b + 1))) * (b + 3)) + ((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3) is ext-real V14() real set
((((b - 1) * (4 |^ (b + 1))) * (b + 3)) + ((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3)) / ((3 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((((b - 1) * (4 |^ (b + 1))) * (b + 3)) + ((((b + 1) |^ 2) * (4 |^ (b + 1))) * 3)) / ((3 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(b - 1) * (b + 3) is ext-real V14() real set
((b + 1) |^ 2) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b - 1) * (b + 3)) + (((b + 1) |^ 2) * 3) is ext-real V14() real set
(((b - 1) * (b + 3)) + (((b + 1) |^ 2) * 3)) * (4 |^ (b + 1)) is ext-real V14() real set
((((b - 1) * (b + 3)) + (((b + 1) |^ 2) * 3)) * (4 |^ (b + 1))) / ((3 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((((b - 1) * (b + 3)) + (((b + 1) |^ 2) * 3)) * (4 |^ (b + 1))) / ((3 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 1)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b - 1) * (b + 3)) + (((b + 1) * (b + 1)) * 3) is ext-real V14() real set
(((b - 1) * (b + 3)) + (((b + 1) * (b + 1)) * 3)) * (4 |^ (b + 1)) is ext-real V14() real set
((((b - 1) * (b + 3)) + (((b + 1) * (b + 1)) * 3)) * (4 |^ (b + 1))) / ((3 * (b + 2)) * (b + 3)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((((b - 1) * (b + 3)) + (((b + 1) * (b + 1)) * 3)) * (4 |^ (b + 1))) / ((3 * (b + 2)) * (b + 3))) is ext-real V14() real Element of COMPLEX
4 * (4 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(4 * (4 |^ (b + 1))) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 * (4 |^ (b + 1))) * b) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 3)) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 * (4 |^ (b + 1))) * b) * (b + 2)) / ((3 * (b + 3)) * (b + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + ((((4 * (4 |^ (b + 1))) * b) * (b + 2)) / ((3 * (b + 3)) * (b + 2))) is ext-real V14() real Element of COMPLEX
(4 |^ (b + 1)) * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((4 |^ (b + 1)) * 4) * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((4 |^ (b + 1)) * 4) * b) / (3 * (b + 3)) is ext-real V14() real Element of COMPLEX
(2 / 3) + ((((4 |^ (b + 1)) * 4) * b) / (3 * (b + 3))) is ext-real V14() real Element of COMPLEX
4 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) - 1) * (4 |^ ((b + 1) + 1)) is ext-real V14() real set
3 * ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) - 1) * (4 |^ ((b + 1) + 1))) / (3 * ((b + 1) + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + ((((b + 1) - 1) * (4 |^ ((b + 1) + 1))) / (3 * ((b + 1) + 2))) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 |^ 2) * (4 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 |^ 2) * (4 |^ 1)) / ((1 + 1) * (1 + 2)) is ext-real V14() real Element of COMPLEX
1 * (4 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (4 |^ 1)) / ((1 + 1) * (1 + 2)) is ext-real V14() real Element of COMPLEX
1 * 4 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 4) / ((1 + 1) * (1 + 2)) is ext-real V14() real Element of COMPLEX
1 - 1 is ext-real V14() real set
4 |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 - 1) * (4 |^ (1 + 1)) is ext-real V14() real set
3 * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 - 1) * (4 |^ (1 + 1))) / (3 * (1 + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((1 - 1) * (4 |^ (1 + 1))) / (3 * (1 + 2))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 - 1) * (4 |^ (1 + 1)) is ext-real V14() real set
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (1 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 - 1) * (4 |^ (1 + 1))) / (3 * (1 + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((1 - 1) * (4 |^ (1 + 1))) / (3 * (1 + 2))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b - 1 is ext-real V14() real set
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
4 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b - 1) * (4 |^ (b + 1)) is ext-real V14() real set
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b - 1) * (4 |^ (b + 1))) / (3 * (b + 2)) is ext-real V14() real Element of COMPLEX
(2 / 3) + (((b - 1) * (4 |^ (b + 1))) / (3 * (b + 2))) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (2 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 2) / ((0 * (0 + 1)) * (2 |^ 0)) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ b is ext-real natural V14() real Element of REAL
(b + 1) * (2 |^ b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) * (2 |^ b)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) * (2 |^ b))) is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real Element of REAL
((b + 1) + 1) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) + 1) * (2 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (1 / (((b + 1) + 1) * (2 |^ (b + 1)))) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(1 - (1 / ((b + 1) * (2 |^ b)))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) / (((b + 1) * ((b + 1) + 1)) * (2 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
(1 - (1 / ((b + 1) * (2 |^ b)))) + (((b + 1) + 2) / (((b + 1) * ((b + 1) + 1)) * (2 |^ (b + 1)))) is ext-real V14() real set
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
(1 / ((b + 1) * (2 |^ b))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1)))) is ext-real V14() real Element of COMPLEX
1 - ((1 / ((b + 1) * (2 |^ b))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))))) is ext-real V14() real set
1 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (2 |^ b)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) / (((b + 1) * (2 |^ b)) * 2) is ext-real V14() real Element of COMPLEX
((1 * 2) / (((b + 1) * (2 |^ b)) * 2)) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1)))) is ext-real V14() real Element of COMPLEX
1 - (((1 * 2) / (((b + 1) * (2 |^ b)) * 2)) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))))) is ext-real V14() real set
(2 |^ b) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((2 |^ b) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) / ((b + 1) * ((2 |^ b) * 2)) is ext-real V14() real Element of COMPLEX
((1 * 2) / ((b + 1) * ((2 |^ b) * 2))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1)))) is ext-real V14() real Element of COMPLEX
1 - (((1 * 2) / ((b + 1) * ((2 |^ b) * 2))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))))) is ext-real V14() real set
(b + 1) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) / ((b + 1) * (2 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
((1 * 2) / ((b + 1) * (2 |^ (b + 1)))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1)))) is ext-real V14() real Element of COMPLEX
1 - (((1 * 2) / ((b + 1) * (2 |^ (b + 1)))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))))) is ext-real V14() real set
2 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (2 |^ (b + 1))) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 2)) / (((b + 1) * (2 |^ (b + 1))) * (b + 2)) is ext-real V14() real Element of COMPLEX
((2 * (b + 2)) / (((b + 1) * (2 |^ (b + 1))) * (b + 2))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1)))) is ext-real V14() real Element of COMPLEX
1 - (((2 * (b + 2)) / (((b + 1) * (2 |^ (b + 1))) * (b + 2))) - ((b + 3) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))))) is ext-real V14() real set
(2 * (b + 2)) - (b + 3) is ext-real V14() real set
((2 * (b + 2)) - (b + 3)) / (((b + 1) * (b + 2)) * (2 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (((2 * (b + 2)) - (b + 3)) / (((b + 1) * (b + 2)) * (2 |^ (b + 1)))) is ext-real V14() real set
1 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (2 |^ (b + 1))) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b + 1)) / (((b + 2) * (2 |^ (b + 1))) * (b + 1)) is ext-real V14() real Element of COMPLEX
1 - ((1 * (b + 1)) / (((b + 2) * (2 |^ (b + 1))) * (b + 1))) is ext-real V14() real set
((b + 1) + 1) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) + 1) * (2 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (1 / (((b + 1) + 1) * (2 |^ (b + 1)))) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (1 + 1)) * (2 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) / ((1 * (1 + 1)) * (2 |^ 1)) is ext-real V14() real Element of COMPLEX
(1 * (1 + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) / ((1 * (1 + 1)) * 2) is ext-real V14() real Element of COMPLEX
(1 + 1) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) * 2) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) * 2)) is ext-real V14() real set
(1 + 1) * (2 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) * (2 |^ 1)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) * (2 |^ 1))) is ext-real V14() real set
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ 1 is ext-real natural V14() real Element of REAL
(1 + 1) * (2 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) * (2 |^ 1)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) * (2 |^ 1))) is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (2 |^ b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) * (2 |^ b)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) * (2 |^ b))) is ext-real V14() real set
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
2 * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 0) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (0 + 1)) * (3 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 0) + 3) / ((0 * (0 + 1)) * (3 |^ 0)) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ b is ext-real natural V14() real Element of REAL
(b + 1) * (3 |^ b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) * (3 |^ b)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) * (3 |^ b))) is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ (b + 1) is ext-real natural V14() real Element of REAL
((b + 1) + 1) * (3 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) + 1) * (3 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (1 / (((b + 1) + 1) * (3 |^ (b + 1)))) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(1 - (1 / ((b + 1) * (3 |^ b)))) + (a . (b + 1)) is ext-real V14() real set
2 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * (b + 1)) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * ((b + 1) + 1)) * (3 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * (b + 1)) + 3) / (((b + 1) * ((b + 1) + 1)) * (3 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
(1 - (1 / ((b + 1) * (3 |^ b)))) + (((2 * (b + 1)) + 3) / (((b + 1) * ((b + 1) + 1)) * (3 |^ (b + 1)))) is ext-real V14() real set
1 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (3 |^ b)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 3) / (((b + 1) * (3 |^ b)) * 3) is ext-real V14() real Element of COMPLEX
1 - ((1 * 3) / (((b + 1) * (3 |^ b)) * 3)) is ext-real V14() real set
2 * b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * b) + 5 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 2)) * (3 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
(1 - ((1 * 3) / (((b + 1) * (3 |^ b)) * 3))) + (((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1)))) is ext-real V14() real set
(3 |^ b) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * ((3 |^ b) * 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((b + 1) * ((3 |^ b) * 3)) is ext-real V14() real Element of COMPLEX
1 - (3 / ((b + 1) * ((3 |^ b) * 3))) is ext-real V14() real set
(1 - (3 / ((b + 1) * ((3 |^ b) * 3)))) + (((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1)))) is ext-real V14() real set
(b + 1) * (3 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 / ((b + 1) * (3 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (3 / ((b + 1) * (3 |^ (b + 1)))) is ext-real V14() real set
(1 - (3 / ((b + 1) * (3 |^ (b + 1))))) + (((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1)))) is ext-real V14() real set
3 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (3 |^ (b + 1))) * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(3 * (b + 2)) / (((b + 1) * (3 |^ (b + 1))) * (b + 2)) is ext-real V14() real Element of COMPLEX
1 - ((3 * (b + 2)) / (((b + 1) * (3 |^ (b + 1))) * (b + 2))) is ext-real V14() real set
(1 - ((3 * (b + 2)) / (((b + 1) * (3 |^ (b + 1))) * (b + 2)))) + (((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1)))) is ext-real V14() real set
((3 * (b + 2)) / (((b + 1) * (3 |^ (b + 1))) * (b + 2))) - (((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1)))) is ext-real V14() real Element of COMPLEX
1 - (((3 * (b + 2)) / (((b + 1) * (3 |^ (b + 1))) * (b + 2))) - (((2 * b) + 5) / (((b + 1) * (b + 2)) * (3 |^ (b + 1))))) is ext-real V14() real set
(3 * (b + 2)) - ((2 * b) + 5) is ext-real V14() real set
((3 * (b + 2)) - ((2 * b) + 5)) / (((b + 1) * (b + 2)) * (3 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (((3 * (b + 2)) - ((2 * b) + 5)) / (((b + 1) * (b + 2)) * (3 |^ (b + 1)))) is ext-real V14() real set
1 * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) * (3 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) * (3 |^ (b + 1))) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b + 1)) / (((b + 2) * (3 |^ (b + 1))) * (b + 1)) is ext-real V14() real Element of COMPLEX
1 - ((1 * (b + 1)) / (((b + 2) * (3 |^ (b + 1))) * (b + 1))) is ext-real V14() real set
((b + 1) + 1) * (3 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) + 1) * (3 |^ (b + 1))) is ext-real V14() real Element of COMPLEX
1 - (1 / (((b + 1) + 1) * (3 |^ (b + 1)))) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
2 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 1) + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (1 + 1)) * (3 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 1) + 3) / ((1 * (1 + 1)) * (3 |^ 1)) is ext-real V14() real Element of COMPLEX
(1 * (1 + 1)) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 * 1) + 3) / ((1 * (1 + 1)) * 3) is ext-real V14() real Element of COMPLEX
(1 + 1) * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) * 3) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) * 3)) is ext-real V14() real set
(1 + 1) * (3 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) * (3 |^ 1)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) * (3 |^ 1))) is ext-real V14() real set
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ 1 is ext-real natural V14() real Element of REAL
(1 + 1) * (3 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) * (3 |^ 1)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) * (3 |^ 1))) is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
3 |^ b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) * (3 |^ b) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) * (3 |^ b)) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) * (3 |^ b))) is ext-real V14() real set
1 / 3 is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 2) is ext-real V14() real set
2 |^ (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 2)) + ((- 1) |^ (b + 2)) is ext-real V14() real set
3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) is ext-real V14() real set
((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))))) is ext-real V14() real Element of COMPLEX
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ ((b + 1) + 2) is ext-real V14() real set
2 |^ ((b + 1) + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2)) is ext-real V14() real set
3 * ((2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2))) is ext-real V14() real set
((- 1) |^ ((b + 1) + 2)) / (3 * ((2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ ((b + 1) + 2)) / (3 * ((2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2))))) is ext-real V14() real Element of COMPLEX
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 3) is ext-real V14() real set
(2 |^ (b + 3)) + ((- 1) |^ (b + 3)) is ext-real V14() real set
a . (b + 1) is ext-real V14() real Element of REAL
((1 / 3) + (((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))))) + (a . (b + 1)) is ext-real V14() real set
(- 1) |^ (b + 1) is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ (b + 1)) * (2 |^ ((b + 1) + 1)) is ext-real V14() real set
(- 1) |^ ((b + 1) + 1) is ext-real V14() real set
(2 |^ ((b + 1) + 1)) + ((- 1) |^ ((b + 1) + 1)) is ext-real V14() real set
((2 |^ ((b + 1) + 1)) + ((- 1) |^ ((b + 1) + 1))) * ((2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2))) is ext-real V14() real set
(((- 1) |^ (b + 1)) * (2 |^ ((b + 1) + 1))) / (((2 |^ ((b + 1) + 1)) + ((- 1) |^ ((b + 1) + 1))) * ((2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2)))) is ext-real V14() real Element of COMPLEX
((1 / 3) + (((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))))) + ((((- 1) |^ (b + 1)) * (2 |^ ((b + 1) + 1))) / (((2 |^ ((b + 1) + 1)) + ((- 1) |^ ((b + 1) + 1))) * ((2 |^ ((b + 1) + 2)) + ((- 1) |^ ((b + 1) + 2))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 1)) * (2 |^ (b + 2)) is ext-real V14() real set
((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
(((- 1) |^ (b + 1)) * (2 |^ (b + 2))) / (((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
((1 / 3) + (((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) / (((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
(3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
(((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
((1 / 3) + ((((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) / (((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
(((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3 is ext-real V14() real set
(((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) * 3 is ext-real V14() real set
((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) / ((((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) * 3) is ext-real V14() real Element of COMPLEX
((1 / 3) + ((((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))))) + (((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) / ((((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) * 3)) is ext-real V14() real Element of COMPLEX
((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
((((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) + (((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((((- 1) |^ (b + 2)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) + (((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 2)) * (- 1) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (- 1)) / (- 1) is ext-real V14() real Element of COMPLEX
((((- 1) |^ (b + 2)) * (- 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
(((((- 1) |^ (b + 2)) * (- 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) is ext-real V14() real set
((((((- 1) |^ (b + 2)) * (- 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((((((- 1) |^ (b + 2)) * (- 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
(b + 2) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ ((b + 2) + 1) is ext-real V14() real set
((- 1) |^ ((b + 2) + 1)) / (- 1) is ext-real V14() real Element of COMPLEX
(((- 1) |^ ((b + 2) + 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
((((- 1) |^ ((b + 2) + 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3) is ext-real V14() real set
(((((- 1) |^ ((b + 2) + 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((((- 1) |^ ((b + 2) + 1)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((- 1) |^ (b + 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 3)) / (- 1) is ext-real V14() real Element of COMPLEX
(((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
((- 1) |^ (b + 1)) * (- 1) is ext-real V14() real set
(((- 1) |^ (b + 1)) * (- 1)) / (- 1) is ext-real V14() real Element of COMPLEX
((((- 1) |^ (b + 1)) * (- 1)) / (- 1)) * (2 |^ (b + 2)) is ext-real V14() real set
(((((- 1) |^ (b + 1)) * (- 1)) / (- 1)) * (2 |^ (b + 2))) * 3 is ext-real V14() real set
((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((((- 1) |^ (b + 1)) * (- 1)) / (- 1)) * (2 |^ (b + 2))) * 3) is ext-real V14() real set
(((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((((- 1) |^ (b + 1)) * (- 1)) / (- 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((((- 1) |^ (b + 1)) * (- 1)) / (- 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ ((b + 1) + 1)) / (- 1) is ext-real V14() real Element of COMPLEX
(((- 1) |^ ((b + 1) + 1)) / (- 1)) * (2 |^ (b + 2)) is ext-real V14() real set
((((- 1) |^ ((b + 1) + 1)) / (- 1)) * (2 |^ (b + 2))) * 3 is ext-real V14() real set
((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + (((((- 1) |^ ((b + 1) + 1)) / (- 1)) * (2 |^ (b + 2))) * 3) is ext-real V14() real set
(((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + (((((- 1) |^ ((b + 1) + 1)) / (- 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + (((((- 1) |^ ((b + 1) + 1)) / (- 1)) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
(- 1) * (- 1) is ext-real V14() real set
(((- 1) |^ (b + 2)) * (- 1)) / ((- 1) * (- 1)) is ext-real V14() real Element of COMPLEX
((((- 1) |^ (b + 2)) * (- 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2)) is ext-real V14() real set
(((((- 1) |^ (b + 2)) * (- 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3 is ext-real V14() real set
((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((((- 1) |^ (b + 2)) * (- 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3) is ext-real V14() real set
(((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((((- 1) |^ (b + 2)) * (- 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + ((((((- 1) |^ (b + 2)) * (- 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ ((b + 2) + 1)) / ((- 1) * (- 1)) is ext-real V14() real Element of COMPLEX
(((- 1) |^ ((b + 2) + 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2)) is ext-real V14() real set
((((- 1) |^ ((b + 2) + 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3 is ext-real V14() real set
((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + (((((- 1) |^ ((b + 2) + 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3) is ext-real V14() real set
(((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + (((((- 1) |^ ((b + 2) + 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((((- 1) |^ (b + 3)) / (- 1)) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) + (((((- 1) |^ ((b + 2) + 1)) / ((- 1) * (- 1))) * (2 |^ (b + 2))) * 3)) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
(2 |^ (b + 2)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 2)) + ((2 |^ (b + 2)) * 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 2)) + ((2 |^ (b + 2)) * 2)) - (2 |^ (b + 3)) is ext-real V14() real set
(((2 |^ (b + 2)) + ((2 |^ (b + 2)) * 2)) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3)) is ext-real V14() real set
((- 1) |^ (b + 3)) * ((((2 |^ (b + 2)) + ((2 |^ (b + 2)) * 2)) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3))) is ext-real V14() real set
(((- 1) |^ (b + 3)) * ((((2 |^ (b + 2)) + ((2 |^ (b + 2)) * 2)) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((- 1) |^ (b + 3)) * ((((2 |^ (b + 2)) + ((2 |^ (b + 2)) * 2)) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
2 |^ ((b + 2) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 2)) + (2 |^ ((b + 2) + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 2)) + (2 |^ ((b + 2) + 1))) - (2 |^ (b + 3)) is ext-real V14() real set
(((2 |^ (b + 2)) + (2 |^ ((b + 2) + 1))) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3)) is ext-real V14() real set
((- 1) |^ (b + 3)) * ((((2 |^ (b + 2)) + (2 |^ ((b + 2) + 1))) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3))) is ext-real V14() real set
(((- 1) |^ (b + 3)) * ((((2 |^ (b + 2)) + (2 |^ ((b + 2) + 1))) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((- 1) |^ (b + 3)) * ((((2 |^ (b + 2)) + (2 |^ ((b + 2) + 1))) - (2 |^ (b + 3))) - ((- 1) |^ (b + 3)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
(2 |^ (b + 2)) - (((- 1) |^ (b + 2)) * (- 1)) is ext-real V14() real set
((- 1) |^ (b + 3)) * ((2 |^ (b + 2)) - (((- 1) |^ (b + 2)) * (- 1))) is ext-real V14() real set
(((- 1) |^ (b + 3)) * ((2 |^ (b + 2)) - (((- 1) |^ (b + 2)) * (- 1)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((- 1) |^ (b + 3)) * ((2 |^ (b + 2)) - (((- 1) |^ (b + 2)) * (- 1)))) / ((3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))))) is ext-real V14() real Element of COMPLEX
((- 1) |^ (b + 3)) * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) is ext-real V14() real set
3 * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3))) is ext-real V14() real set
(3 * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) is ext-real V14() real set
(((- 1) |^ (b + 3)) * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) / ((3 * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + ((((- 1) |^ (b + 3)) * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) / ((3 * ((2 |^ (b + 3)) + ((- 1) |^ (b + 3)))) * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))))) is ext-real V14() real Element of COMPLEX
(2 |^ ((b + 2) + 1)) + ((- 1) |^ ((b + 2) + 1)) is ext-real V14() real set
3 * ((2 |^ ((b + 2) + 1)) + ((- 1) |^ ((b + 2) + 1))) is ext-real V14() real set
((- 1) |^ ((b + 2) + 1)) / (3 * ((2 |^ ((b + 2) + 1)) + ((- 1) |^ ((b + 2) + 1)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ ((b + 2) + 1)) / (3 * ((2 |^ ((b + 2) + 1)) + ((- 1) |^ ((b + 2) + 1))))) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . 0 is ext-real V14() real Element of REAL
(- 1) |^ 0 is ext-real V14() real set
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (0 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((- 1) |^ 0) * (2 |^ (0 + 1)) is ext-real V14() real set
(- 1) |^ (0 + 1) is ext-real V14() real set
(2 |^ (0 + 1)) + ((- 1) |^ (0 + 1)) is ext-real V14() real set
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (0 + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (0 + 2) is ext-real V14() real set
(2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)) is ext-real V14() real set
((2 |^ (0 + 1)) + ((- 1) |^ (0 + 1))) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2))) is ext-real V14() real set
(((- 1) |^ 0) * (2 |^ (0 + 1))) / (((2 |^ (0 + 1)) + ((- 1) |^ (0 + 1))) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
1 * (2 |^ (0 + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (2 |^ (0 + 1))) / (((2 |^ (0 + 1)) + ((- 1) |^ (0 + 1))) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
1 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 2) / (((2 |^ (0 + 1)) + ((- 1) |^ (0 + 1))) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
2 + ((- 1) |^ (0 + 1)) is ext-real V14() real set
(2 + ((- 1) |^ (0 + 1))) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2))) is ext-real V14() real set
(1 * 2) / ((2 + ((- 1) |^ (0 + 1))) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
2 + (- 1) is ext-real V14() real set
(2 + (- 1)) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2))) is ext-real V14() real set
(1 * 2) / ((2 + (- 1)) * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) + ((- 1) |^ (0 + 2)) is ext-real V14() real set
(2 + (- 1)) * ((2 * 2) + ((- 1) |^ (0 + 2))) is ext-real V14() real set
(1 * 2) / ((2 + (- 1)) * ((2 * 2) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
(- 1) * (- 1) is ext-real V14() real set
(2 * 2) + ((- 1) * (- 1)) is ext-real V14() real set
(2 + (- 1)) * ((2 * 2) + ((- 1) * (- 1))) is ext-real V14() real set
(1 * 2) / ((2 + (- 1)) * ((2 * 2) + ((- 1) * (- 1)))) is ext-real V14() real Element of COMPLEX
3 * ((2 * 2) + ((- 1) * (- 1))) is ext-real V14() real set
((- 1) * (- 1)) / (3 * ((2 * 2) + ((- 1) * (- 1)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) * (- 1)) / (3 * ((2 * 2) + ((- 1) * (- 1))))) is ext-real V14() real Element of COMPLEX
(- 1) |^ 2 is ext-real V14() real set
((- 1) |^ 2) / (3 * ((2 * 2) + ((- 1) * (- 1)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ 2) / (3 * ((2 * 2) + ((- 1) * (- 1))))) is ext-real V14() real Element of COMPLEX
(2 * 2) + ((- 1) |^ 2) is ext-real V14() real set
3 * ((2 * 2) + ((- 1) |^ 2)) is ext-real V14() real set
((- 1) |^ 2) / (3 * ((2 * 2) + ((- 1) |^ 2))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ 2) / (3 * ((2 * 2) + ((- 1) |^ 2)))) is ext-real V14() real Element of COMPLEX
3 * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2))) is ext-real V14() real set
((- 1) |^ (0 + 2)) / (3 * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ (0 + 2)) / (3 * ((2 |^ (0 + 2)) + ((- 1) |^ (0 + 2))))) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(- 1) |^ (b + 2) is ext-real V14() real set
2 |^ (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 2)) + ((- 1) |^ (b + 2)) is ext-real V14() real set
3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))) is ext-real V14() real set
((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2)))) is ext-real V14() real Element of COMPLEX
(1 / 3) + (((- 1) |^ (b + 2)) / (3 * ((2 |^ (b + 2)) + ((- 1) |^ (b + 2))))) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
0 ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 !) * 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) !) - 1 is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) + 1) !) - 1 is ext-real V14() real set
a . (b + 1) is ext-real V14() real Element of REAL
(((b + 1) !) - 1) + (a . (b + 1)) is ext-real V14() real set
((b + 1) !) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) !) - 1) + (((b + 1) !) * (b + 1)) is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) !) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) !) * ((b + 1) + 1)) - 1 is ext-real V14() real set
((b + 1) + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) + 1) !) - 1 is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
1 ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 !) * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 + 1) !) - 1 is ext-real V14() real set
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 + 1) !) - 1 is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) !) - 1 is ext-real V14() real set
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
0 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 / ((0 + 1) !) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) !) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) !)) is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (((b + 1) + 1) !) is ext-real V14() real Element of COMPLEX
1 - (1 / (((b + 1) + 1) !)) is ext-real V14() real set
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(1 - (1 / ((b + 1) !))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) / (((b + 1) + 1) !) is ext-real V14() real Element of COMPLEX
(1 - (1 / ((b + 1) !))) + ((b + 1) / (((b + 1) + 1) !)) is ext-real V14() real set
1 * (b + 2) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) !) * ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (b + 2)) / (((b + 1) !) * ((b + 1) + 1)) is ext-real V14() real Element of COMPLEX
1 - ((1 * (b + 2)) / (((b + 1) !) * ((b + 1) + 1))) is ext-real V14() real set
(b + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) / ((b + 2) !) is ext-real V14() real Element of COMPLEX
(1 - ((1 * (b + 2)) / (((b + 1) !) * ((b + 1) + 1)))) + ((b + 1) / ((b + 2) !)) is ext-real V14() real set
(1 * (b + 2)) / (((b + 1) + 1) !) is ext-real V14() real Element of COMPLEX
1 - ((1 * (b + 2)) / (((b + 1) + 1) !)) is ext-real V14() real set
(1 - ((1 * (b + 2)) / (((b + 1) + 1) !))) + ((b + 1) / ((b + 2) !)) is ext-real V14() real set
(b + 2) / (((b + 1) + 1) !) is ext-real V14() real Element of COMPLEX
((b + 2) / (((b + 1) + 1) !)) - ((b + 1) / ((b + 2) !)) is ext-real V14() real Element of COMPLEX
1 - (((b + 2) / (((b + 1) + 1) !)) - ((b + 1) / ((b + 2) !))) is ext-real V14() real set
(b + 2) - (b + 1) is ext-real V14() real set
((b + 2) - (b + 1)) / ((b + 2) !) is ext-real V14() real Element of COMPLEX
1 - (((b + 2) - (b + 1)) / ((b + 2) !)) is ext-real V14() real set
1 / (((b + 1) + 1) !) is ext-real V14() real Element of COMPLEX
1 - (1 / (((b + 1) + 1) !)) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) !) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) !)) is ext-real V14() real set
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((1 + 1) !) is ext-real V14() real Element of COMPLEX
1 - (1 / ((1 + 1) !)) is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / ((b + 1) !) is ext-real V14() real Element of COMPLEX
1 - (1 / ((b + 1) !)) is ext-real V14() real set
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) / ((b + 2) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - ((b + 1) / ((b + 2) !)) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) / (((b + 1) + 2) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - (((b + 1) + 1) / (((b + 1) + 2) !)) is ext-real V14() real Element of COMPLEX
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
((1 / 2) - ((b + 1) / ((b + 2) !))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) |^ 2) + (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) + (b + 1)) - 1 is ext-real V14() real set
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((((b + 1) |^ 2) + (b + 1)) - 1) / (((b + 1) + 2) !) is ext-real V14() real Element of COMPLEX
((1 / 2) - ((b + 1) / ((b + 2) !))) + (((((b + 1) |^ 2) + (b + 1)) - 1) / (((b + 1) + 2) !)) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) !) * ((b + 2) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 3)) / (((b + 2) !) * ((b + 2) + 1)) is ext-real V14() real Element of COMPLEX
(1 / 2) - (((b + 1) * (b + 3)) / (((b + 2) !) * ((b + 2) + 1))) is ext-real V14() real Element of COMPLEX
((b + 1) |^ 2) + b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 3) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((b + 1) |^ 2) + b) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
((1 / 2) - (((b + 1) * (b + 3)) / (((b + 2) !) * ((b + 2) + 1)))) + ((((b + 1) |^ 2) + b) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
((b + 2) + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 3)) / (((b + 2) + 1) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - (((b + 1) * (b + 3)) / (((b + 2) + 1) !)) is ext-real V14() real Element of COMPLEX
((1 / 2) - (((b + 1) * (b + 3)) / (((b + 2) + 1) !))) + ((((b + 1) |^ 2) + b) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
((b + 1) * (b + 3)) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
(((b + 1) * (b + 3)) / ((b + 3) !)) - ((((b + 1) |^ 2) + b) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
(1 / 2) - ((((b + 1) * (b + 3)) / ((b + 3) !)) - ((((b + 1) |^ 2) + b) / ((b + 3) !))) is ext-real V14() real Element of COMPLEX
((b + 1) * (b + 3)) - (((b + 1) |^ 2) + b) is ext-real V14() real set
(((b + 1) * (b + 3)) - (((b + 1) |^ 2) + b)) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - ((((b + 1) * (b + 3)) - (((b + 1) |^ 2) + b)) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
((b + 1) * (b + 3)) - ((b + 1) |^ 2) is ext-real V14() real set
(((b + 1) * (b + 3)) - ((b + 1) |^ 2)) - b is ext-real V14() real set
((((b + 1) * (b + 3)) - ((b + 1) |^ 2)) - b) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - (((((b + 1) * (b + 3)) - ((b + 1) |^ 2)) - b) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
(b + 1) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (b + 3)) - ((b + 1) * (b + 1)) is ext-real V14() real set
(((b + 1) * (b + 3)) - ((b + 1) * (b + 1))) - b is ext-real V14() real set
((((b + 1) * (b + 3)) - ((b + 1) * (b + 1))) - b) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - (((((b + 1) * (b + 3)) - ((b + 1) * (b + 1))) - b) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 1) / (((b + 1) + 2) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - (((b + 1) + 1) / (((b + 1) + 2) !)) is ext-real V14() real Element of COMPLEX
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
0 + (a . 1) is ext-real V14() real set
1 |^ 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 |^ 2) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((1 |^ 2) + 1) - 1 is ext-real V14() real set
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(((1 |^ 2) + 1) - 1) / ((1 + 2) !) is ext-real V14() real Element of COMPLEX
1 * 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * 1) / ((2 + 1) !) is ext-real V14() real Element of COMPLEX
2 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 / (2 * 3) is ext-real V14() real Element of COMPLEX
2 ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 !) * (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / ((2 !) * (2 + 1)) is ext-real V14() real Element of COMPLEX
(1 / 2) - (2 / ((2 !) * (2 + 1))) is ext-real V14() real Element of COMPLEX
2 / ((2 + 1) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - (2 / ((2 + 1) !)) is ext-real V14() real Element of COMPLEX
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 1) / ((1 + 2) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - ((1 + 1) / ((1 + 2) !)) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) / ((b + 2) !) is ext-real V14() real Element of COMPLEX
(1 / 2) - ((b + 1) / ((b + 2) !)) is ext-real V14() real Element of COMPLEX
a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums a is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a . 0 is ext-real V14() real Element of REAL
2 |^ 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 * (2 |^ 0) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
0 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(0 * (2 |^ 0)) / ((0 + 2) !) is ext-real V14() real Element of COMPLEX
b is ext-real natural V14() real set
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 1)) / ((b + 2) !) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ (b + 1)) / ((b + 2) !)) is ext-real V14() real set
(Partial_Sums a) . (b + 1) is ext-real V14() real Element of REAL
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ ((b + 1) + 1)) / (((b + 1) + 2) !) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ ((b + 1) + 1)) / (((b + 1) + 2) !)) is ext-real V14() real set
b + 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a . (b + 1) is ext-real V14() real Element of REAL
(1 - ((2 |^ (b + 1)) / ((b + 2) !))) + (a . (b + 1)) is ext-real V14() real set
(b + 1) * (2 |^ (b + 1)) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 1) + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (2 |^ (b + 1))) / (((b + 1) + 2) !) is ext-real V14() real Element of COMPLEX
(1 - ((2 |^ (b + 1)) / ((b + 2) !))) + (((b + 1) * (2 |^ (b + 1))) / (((b + 1) + 2) !)) is ext-real V14() real set
(2 |^ (b + 1)) * (b + 3) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 2) !) * ((b + 2) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 1)) * (b + 3)) / (((b + 2) !) * ((b + 2) + 1)) is ext-real V14() real Element of COMPLEX
1 - (((2 |^ (b + 1)) * (b + 3)) / (((b + 2) !) * ((b + 2) + 1))) is ext-real V14() real set
(b + 3) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((b + 1) * (2 |^ (b + 1))) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
(1 - (((2 |^ (b + 1)) * (b + 3)) / (((b + 2) !) * ((b + 2) + 1)))) + (((b + 1) * (2 |^ (b + 1))) / ((b + 3) !)) is ext-real V14() real set
((b + 2) + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 1)) * (b + 3)) / (((b + 2) + 1) !) is ext-real V14() real Element of COMPLEX
1 - (((2 |^ (b + 1)) * (b + 3)) / (((b + 2) + 1) !)) is ext-real V14() real set
(1 - (((2 |^ (b + 1)) * (b + 3)) / (((b + 2) + 1) !))) + (((b + 1) * (2 |^ (b + 1))) / ((b + 3) !)) is ext-real V14() real set
(((2 |^ (b + 1)) * (b + 3)) / (((b + 2) + 1) !)) - (((b + 1) * (2 |^ (b + 1))) / ((b + 3) !)) is ext-real V14() real Element of COMPLEX
1 - ((((2 |^ (b + 1)) * (b + 3)) / (((b + 2) + 1) !)) - (((b + 1) * (2 |^ (b + 1))) / ((b + 3) !))) is ext-real V14() real set
(2 |^ (b + 1)) * (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 1)) * (b + 3)) - ((2 |^ (b + 1)) * (b + 1)) is ext-real V14() real set
(((2 |^ (b + 1)) * (b + 3)) - ((2 |^ (b + 1)) * (b + 1))) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
1 - ((((2 |^ (b + 1)) * (b + 3)) - ((2 |^ (b + 1)) * (b + 1))) / ((b + 3) !)) is ext-real V14() real set
(2 |^ (b + 1)) * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
((2 |^ (b + 1)) * 2) / ((b + 3) !) is ext-real V14() real Element of COMPLEX
1 - (((2 |^ (b + 1)) * 2) / ((b + 3) !)) is ext-real V14() real set
(b + 1) + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ ((b + 1) + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ ((b + 1) + 1)) / (((b + 1) + 2) !) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ ((b + 1) + 1)) / (((b + 1) + 2) !)) is ext-real V14() real set
1 + 0 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . (1 + 0) is ext-real V14() real Element of REAL
(Partial_Sums a) . 0 is ext-real V14() real Element of REAL
a . (1 + 0) is ext-real V14() real Element of REAL
((Partial_Sums a) . 0) + (a . (1 + 0)) is ext-real V14() real set
a . 1 is ext-real V14() real Element of REAL
(a . 0) + (a . 1) is ext-real V14() real set
2 |^ 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 * (2 |^ 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 * (2 |^ 1)) / ((1 + 2) !) is ext-real V14() real Element of COMPLEX
2 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 + 1) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / ((2 + 1) !) is ext-real V14() real Element of COMPLEX
2 * 3 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 / (2 * 3) is ext-real V14() real Element of COMPLEX
2 * 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 !) * (2 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 * 2) / ((2 !) * (2 + 1)) is ext-real V14() real Element of COMPLEX
1 - ((2 * 2) / ((2 !) * (2 + 1))) is ext-real V14() real set
(2 |^ 2) / ((2 !) * (2 + 1)) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ 2) / ((2 !) * (2 + 1))) is ext-real V14() real set
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (1 + 1)) / ((1 + 2) !) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ (1 + 1)) / ((1 + 2) !)) is ext-real V14() real set
(Partial_Sums a) . 1 is ext-real V14() real Element of REAL
1 + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (1 + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
1 + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(1 + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (1 + 1)) / ((1 + 2) !) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ (1 + 1)) / ((1 + 2) !)) is ext-real V14() real set
b is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums a) . b is ext-real V14() real Element of REAL
b + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
2 |^ (b + 1) is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
b + 2 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(b + 2) ! is ext-real positive natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(2 |^ (b + 1)) / ((b + 2) !) is ext-real V14() real Element of COMPLEX
1 - ((2 |^ (b + 1)) / ((b + 2) !)) is ext-real V14() real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
a is ext-real V14() real set
b is ext-real V14() real set
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
n is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is ext-real V14() real Element of REAL
n + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
a * (n + 1) is ext-real V14() real set
(a * (n + 1)) * n is ext-real V14() real set
((a * (n + 1)) * n) / 2 is ext-real V14() real Element of COMPLEX
n * b is ext-real V14() real set
(((a * (n + 1)) * n) / 2) + (n * b) is ext-real V14() real set
((((a * (n + 1)) * n) / 2) + (n * b)) + b is ext-real V14() real set
a is ext-real V14() real set
b is ext-real V14() real set
s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
Partial_Sums s is V16() V19( NAT ) V20( REAL ) V21() V26( NAT ) V30( NAT , REAL ) V35() V36() V37() Element of K11(K12(NAT,REAL))
s . 0 is ext-real V14() real Element of REAL
n is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
(Partial_Sums s) . n is ext-real V14() real Element of REAL
n + 1 is ext-real natural V14() real V33() V56() V57() V58() V59() V60() V61() V62() Element of NAT
s . n is ext-real V14() real Element of REAL
(s . 0) + (s . n) is ext-real V14() real set
(n + 1) * ((s . 0) + (s . n)) is ext-real V14() real set
((n + 1) * ((s . 0) + (s . n))) / 2 is ext-real V14() real Element of COMPLEX
a * (n + 1) is ext-real V14() real set
(a * (n + 1)) * n is ext-real V14() real set
((a * (n + 1)) * n) / 2 is ext-real V14() real Element of COMPLEX
n * b is ext-real V14() real set
(((a * (n + 1)) * n) / 2) + (n * b) is ext-real V14() real set
((((a * (n + 1)) * n) / 2) + (n * b)) + b is ext-real V14() real set
n * a is ext-real V14() real set
(n * a) + b is ext-real V14() real set
((n * a) + b) + b is ext-real V14() real set
(n + 1) * (((n * a) + b) + b) is ext-real V14() real set
((n + 1) * (((n * a) + b) + b)) / 2 is ext-real V14() real Element of COMPLEX
a * 0 is ext-real V14() real set
(a * 0) + b is ext-real V14() real set
(s . n) + ((a * 0) + b) is ext-real V14() real set
(n + 1) * ((s . n) + ((a * 0) + b)) is ext-real V14() real set
((n + 1) * ((s . n) + ((a * 0) + b))) / 2 is ext-real V14() real Element of COMPLEX
(s . n) + (s . 0) is ext-real V14() real set
(n + 1) * ((s . n) + (s . 0)) is ext-real V14() real set
((n + 1) * ((s . n) + (s . 0))) / 2 is ext-real V14() real Element of COMPLEX