Description: Define ring division. (Contributed by Mario Carneiro, 2-Jul-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | df-dvr | |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | cdvr | |
|
1 | vr | |
|
2 | cvv | |
|
3 | vx | |
|
4 | cbs | |
|
5 | 1 | cv | |
6 | 5 4 | cfv | |
7 | vy | |
|
8 | cui | |
|
9 | 5 8 | cfv | |
10 | 3 | cv | |
11 | cmulr | |
|
12 | 5 11 | cfv | |
13 | cinvr | |
|
14 | 5 13 | cfv | |
15 | 7 | cv | |
16 | 15 14 | cfv | |
17 | 10 16 12 | co | |
18 | 3 7 6 9 17 | cmpo | |
19 | 1 2 18 | cmpt | |
20 | 0 19 | wceq | |