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Mirrors > Home > MPE Home > Th. List > df-dvr | Structured version Visualization version Unicode version |
Description: Define ring division. (Contributed by Mario Carneiro, 2-Jul-2014.) |
Ref | Expression |
---|---|
df-dvr | /r Unit |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdvr 18682 | . 2 /r | |
2 | vr | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | vx | . . . 4 | |
5 | vy | . . . 4 | |
6 | 2 | cv 1482 | . . . . 5 |
7 | cbs 15857 | . . . . 5 | |
8 | 6, 7 | cfv 5888 | . . . 4 |
9 | cui 18639 | . . . . 5 Unit | |
10 | 6, 9 | cfv 5888 | . . . 4 Unit |
11 | 4 | cv 1482 | . . . . 5 |
12 | 5 | cv 1482 | . . . . . 6 |
13 | cinvr 18671 | . . . . . . 7 | |
14 | 6, 13 | cfv 5888 | . . . . . 6 |
15 | 12, 14 | cfv 5888 | . . . . 5 |
16 | cmulr 15942 | . . . . . 6 | |
17 | 6, 16 | cfv 5888 | . . . . 5 |
18 | 11, 15, 17 | co 6650 | . . . 4 |
19 | 4, 5, 8, 10, 18 | cmpt2 6652 | . . 3 Unit |
20 | 2, 3, 19 | cmpt 4729 | . 2 Unit |
21 | 1, 20 | wceq 1483 | 1 /r Unit |
Colors of variables: wff setvar class |
This definition is referenced by: dvrfval 18684 |
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