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Mirrors > Home > MPE Home > Th. List > df-cos | Unicode version |
Description: Define the cosine function. (Contributed by NM, 14-Mar-2005.) |
Ref | Expression |
---|---|
df-cos |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccos 13800 | . 2 | |
2 | vx | . . 3 | |
3 | cc 9511 | . . 3 | |
4 | ci 9515 | . . . . . . 7 | |
5 | 2 | cv 1394 | . . . . . . 7 |
6 | cmul 9518 | . . . . . . 7 | |
7 | 4, 5, 6 | co 6296 | . . . . . 6 |
8 | ce 13797 | . . . . . 6 | |
9 | 7, 8 | cfv 5593 | . . . . 5 |
10 | 4 | cneg 9829 | . . . . . . 7 |
11 | 10, 5, 6 | co 6296 | . . . . . 6 |
12 | 11, 8 | cfv 5593 | . . . . 5 |
13 | caddc 9516 | . . . . 5 | |
14 | 9, 12, 13 | co 6296 | . . . 4 |
15 | c2 10610 | . . . 4 | |
16 | cdiv 10231 | . . . 4 | |
17 | 14, 15, 16 | co 6296 | . . 3 |
18 | 2, 3, 17 | cmpt 4510 | . 2 |
19 | 1, 18 | wceq 1395 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: cosval 13858 cosf 13860 dvsincos 22382 coscn 22840 |
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