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Mirrors > Home > ILE Home > Th. List > df-ioc | Unicode version |
Description: Define the set of open-below, closed-above intervals of extended reals. (Contributed by NM, 24-Dec-2006.) |
Ref | Expression |
---|---|
df-ioc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cioc 9679 | . 2 | |
2 | vx | . . 3 | |
3 | vy | . . 3 | |
4 | cxr 7806 | . . 3 | |
5 | 2 | cv 1330 | . . . . . 6 |
6 | vz | . . . . . . 7 | |
7 | 6 | cv 1330 | . . . . . 6 |
8 | clt 7807 | . . . . . 6 | |
9 | 5, 7, 8 | wbr 3929 | . . . . 5 |
10 | 3 | cv 1330 | . . . . . 6 |
11 | cle 7808 | . . . . . 6 | |
12 | 7, 10, 11 | wbr 3929 | . . . . 5 |
13 | 9, 12 | wa 103 | . . . 4 |
14 | 13, 6, 4 | crab 2420 | . . 3 |
15 | 2, 3, 4, 4, 14 | cmpo 5776 | . 2 |
16 | 1, 15 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: iocval 9708 elioc1 9712 iocssxr 9747 iocssicc 9751 iocssioo 9753 |
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