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Mirrors > Home > MPE Home > Th. List > df-unit | Structured version Visualization version Unicode version |
Description: Define the set of units in a ring. (Contributed by Mario Carneiro, 1-Dec-2014.) |
Ref | Expression |
---|---|
df-unit | Unit r roppr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cui 18639 | . 2 Unit | |
2 | vw | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | 2 | cv 1482 | . . . . . . 7 |
5 | cdsr 18638 | . . . . . . 7 r | |
6 | 4, 5 | cfv 5888 | . . . . . 6 r |
7 | coppr 18622 | . . . . . . . 8 oppr | |
8 | 4, 7 | cfv 5888 | . . . . . . 7 oppr |
9 | 8, 5 | cfv 5888 | . . . . . 6 roppr |
10 | 6, 9 | cin 3573 | . . . . 5 r roppr |
11 | 10 | ccnv 5113 | . . . 4 r roppr |
12 | cur 18501 | . . . . . 6 | |
13 | 4, 12 | cfv 5888 | . . . . 5 |
14 | 13 | csn 4177 | . . . 4 |
15 | 11, 14 | cima 5117 | . . 3 r roppr |
16 | 2, 3, 15 | cmpt 4729 | . 2 r roppr |
17 | 1, 16 | wceq 1483 | 1 Unit r roppr |
Colors of variables: wff setvar class |
This definition is referenced by: isunit 18657 |
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