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Mirrors > Home > ILE Home > Th. List > df-im | Unicode version |
Description: Define a function whose value is the imaginary part of a complex number. See imval 10801 for its value, imcli 10863 for its closure, and replim 10810 for its use in decomposing a complex number. (Contributed by NM, 9-May-1999.) |
Ref | Expression |
---|---|
df-im |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cim 10792 | . 2 | |
2 | vx | . . 3 | |
3 | cc 7759 | . . 3 | |
4 | 2 | cv 1347 | . . . . 5 |
5 | ci 7763 | . . . . 5 | |
6 | cdiv 8576 | . . . . 5 | |
7 | 4, 5, 6 | co 5850 | . . . 4 |
8 | cre 10791 | . . . 4 | |
9 | 7, 8 | cfv 5196 | . . 3 |
10 | 2, 3, 9 | cmpt 4048 | . 2 |
11 | 1, 10 | wceq 1348 | 1 |
Colors of variables: wff set class |
This definition is referenced by: imval 10801 imf 10807 |
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