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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-oml | Structured version Visualization version Unicode version |
Description: Define the class of orthomodular lattices. Definition from [Kalmbach] p. 16. (Contributed by NM, 18-Sep-2011.) |
Ref | Expression |
---|---|
df-oml |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | coml 34462 | . 2 | |
2 | va | . . . . . . . 8 | |
3 | 2 | cv 1482 | . . . . . . 7 |
4 | vb | . . . . . . . 8 | |
5 | 4 | cv 1482 | . . . . . . 7 |
6 | vl | . . . . . . . . 9 | |
7 | 6 | cv 1482 | . . . . . . . 8 |
8 | cple 15948 | . . . . . . . 8 | |
9 | 7, 8 | cfv 5888 | . . . . . . 7 |
10 | 3, 5, 9 | wbr 4653 | . . . . . 6 |
11 | coc 15949 | . . . . . . . . . . 11 | |
12 | 7, 11 | cfv 5888 | . . . . . . . . . 10 |
13 | 3, 12 | cfv 5888 | . . . . . . . . 9 |
14 | cmee 16945 | . . . . . . . . . 10 | |
15 | 7, 14 | cfv 5888 | . . . . . . . . 9 |
16 | 5, 13, 15 | co 6650 | . . . . . . . 8 |
17 | cjn 16944 | . . . . . . . . 9 | |
18 | 7, 17 | cfv 5888 | . . . . . . . 8 |
19 | 3, 16, 18 | co 6650 | . . . . . . 7 |
20 | 5, 19 | wceq 1483 | . . . . . 6 |
21 | 10, 20 | wi 4 | . . . . 5 |
22 | cbs 15857 | . . . . . 6 | |
23 | 7, 22 | cfv 5888 | . . . . 5 |
24 | 21, 4, 23 | wral 2912 | . . . 4 |
25 | 24, 2, 23 | wral 2912 | . . 3 |
26 | col 34461 | . . 3 | |
27 | 25, 6, 26 | crab 2916 | . 2 |
28 | 1, 27 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: isoml 34525 |
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