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Mirrors > Home > ILE Home > Th. List > df-re | Unicode version |
Description: Define a function whose value is the real part of a complex number. See reval 10777 for its value, recli 10839 for its closure, and replim 10787 for its use in decomposing a complex number. (Contributed by NM, 9-May-1999.) |
Ref | Expression |
---|---|
df-re |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cre 10768 | . 2 | |
2 | vx | . . 3 | |
3 | cc 7742 | . . 3 | |
4 | 2 | cv 1341 | . . . . 5 |
5 | ccj 10767 | . . . . . 6 | |
6 | 4, 5 | cfv 5182 | . . . . 5 |
7 | caddc 7747 | . . . . 5 | |
8 | 4, 6, 7 | co 5836 | . . . 4 |
9 | c2 8899 | . . . 4 | |
10 | cdiv 8559 | . . . 4 | |
11 | 8, 9, 10 | co 5836 | . . 3 |
12 | 2, 3, 11 | cmpt 4037 | . 2 |
13 | 1, 12 | wceq 1342 | 1 |
Colors of variables: wff set class |
This definition is referenced by: reval 10777 ref 10783 |
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