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Mirrors > Home > MPE Home > Th. List > df-im | Structured version Visualization version Unicode version |
Description: Define a function whose value is the imaginary part of a complex number. See imval 13847 for its value, imcli 13908 for its closure, and replim 13856 for its use in decomposing a complex number. (Contributed by NM, 9-May-1999.) |
Ref | Expression |
---|---|
df-im |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cim 13838 | . 2 | |
2 | vx | . . 3 | |
3 | cc 9934 | . . 3 | |
4 | 2 | cv 1482 | . . . . 5 |
5 | ci 9938 | . . . . 5 | |
6 | cdiv 10684 | . . . . 5 | |
7 | 4, 5, 6 | co 6650 | . . . 4 |
8 | cre 13837 | . . . 4 | |
9 | 7, 8 | cfv 5888 | . . 3 |
10 | 2, 3, 9 | cmpt 4729 | . 2 |
11 | 1, 10 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: imval 13847 imf 13853 cnre2csqima 29957 |
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