Description: Swap denominators in a division. (Contributed by NM, 2-Aug-2004)
Ref | Expression | ||
---|---|---|---|
Assertion | divdiv32 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reccl | |
|
2 | div23 | |
|
3 | 1 2 | syl3an2 | |
4 | divrec | |
|
5 | 4 | 3expb | |
6 | 5 | 3adant3 | |
7 | 6 | oveq1d | |
8 | divcl | |
|
9 | 8 | 3expb | |
10 | divrec | |
|
11 | 9 10 | syl3an1 | |
12 | 11 | 3expb | |
13 | 12 | 3impa | |
14 | 13 | 3com23 | |
15 | 3 7 14 | 3eqtr4d | |