Description: Real part of a division. Related to remul2 . (Contributed by David A. Wheeler, 10-Jun-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | rediv | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom | |
|
2 | 3anass | |
|
3 | 1 2 | bitr4i | |
4 | rereccl | |
|
5 | 4 | anim1i | |
6 | 3 5 | sylbir | |
7 | remul2 | |
|
8 | 6 7 | syl | |
9 | recn | |
|
10 | divrec2 | |
|
11 | 10 | fveq2d | |
12 | 9 11 | syl3an2 | |
13 | recl | |
|
14 | 13 | recnd | |
15 | 14 | 3ad2ant1 | |
16 | 9 | 3ad2ant2 | |
17 | simp3 | |
|
18 | 15 16 17 | divrec2d | |
19 | 8 12 18 | 3eqtr4d | |