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Mirrors > Home > MPE Home > Th. List > df-cxp | Structured version Visualization version Unicode version |
Description: Define the power function
on complex numbers. Note that the value of
this function when ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-cxp |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccxp 23553 |
. 2
![]() ![]() ![]() | |
2 | vx |
. . 3
![]() ![]() | |
3 | vy |
. . 3
![]() ![]() | |
4 | cc 9562 |
. . 3
![]() ![]() | |
5 | 2 | cv 1453 |
. . . . 5
![]() ![]() |
6 | cc0 9564 |
. . . . 5
![]() ![]() | |
7 | 5, 6 | wceq 1454 |
. . . 4
![]() ![]() ![]() ![]() |
8 | 3 | cv 1453 |
. . . . . 6
![]() ![]() |
9 | 8, 6 | wceq 1454 |
. . . . 5
![]() ![]() ![]() ![]() |
10 | c1 9565 |
. . . . 5
![]() ![]() | |
11 | 9, 10, 6 | cif 3892 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | clog 23552 |
. . . . . . 7
![]() ![]() | |
13 | 5, 12 | cfv 5600 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
14 | cmul 9569 |
. . . . . 6
![]() ![]() | |
15 | 8, 13, 14 | co 6314 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | ce 14162 |
. . . . 5
![]() ![]() | |
17 | 15, 16 | cfv 5600 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 7, 11, 17 | cif 3892 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 2, 3, 4, 4, 18 | cmpt2 6316 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 1, 19 | wceq 1454 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: cxpval 23657 |
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