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Mirrors > Home > MPE Home > Th. List > df-ordt | Structured version Visualization version Unicode version |
Description: Define the order topology, given an order , written as below. A closed subbasis for the order topology is given by the closed rays and , along with itself. (Contributed by Mario Carneiro, 3-Sep-2015.) |
Ref | Expression |
---|---|
df-ordt | ordTop |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cordt 16159 | . 2 ordTop | |
2 | vr | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | 2 | cv 1482 | . . . . . . . 8 |
5 | 4 | cdm 5114 | . . . . . . 7 |
6 | 5 | csn 4177 | . . . . . 6 |
7 | vx | . . . . . . . . 9 | |
8 | vy | . . . . . . . . . . . . 13 | |
9 | 8 | cv 1482 | . . . . . . . . . . . 12 |
10 | 7 | cv 1482 | . . . . . . . . . . . 12 |
11 | 9, 10, 4 | wbr 4653 | . . . . . . . . . . 11 |
12 | 11 | wn 3 | . . . . . . . . . 10 |
13 | 12, 8, 5 | crab 2916 | . . . . . . . . 9 |
14 | 7, 5, 13 | cmpt 4729 | . . . . . . . 8 |
15 | 10, 9, 4 | wbr 4653 | . . . . . . . . . . 11 |
16 | 15 | wn 3 | . . . . . . . . . 10 |
17 | 16, 8, 5 | crab 2916 | . . . . . . . . 9 |
18 | 7, 5, 17 | cmpt 4729 | . . . . . . . 8 |
19 | 14, 18 | cun 3572 | . . . . . . 7 |
20 | 19 | crn 5115 | . . . . . 6 |
21 | 6, 20 | cun 3572 | . . . . 5 |
22 | cfi 8316 | . . . . 5 | |
23 | 21, 22 | cfv 5888 | . . . 4 |
24 | ctg 16098 | . . . 4 | |
25 | 23, 24 | cfv 5888 | . . 3 |
26 | 2, 3, 25 | cmpt 4729 | . 2 |
27 | 1, 26 | wceq 1483 | 1 ordTop |
Colors of variables: wff setvar class |
This definition is referenced by: ordtval 20993 |
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