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Mirrors > Home > MPE Home > Th. List > df-wina | Structured version Visualization version Unicode version |
Description: An ordinal is weakly inaccessible iff it is a regular limit cardinal. Note that our definition allows as a weakly inaccessible cardinal. (Contributed by Mario Carneiro, 22-Jun-2013.) |
Ref | Expression |
---|---|
df-wina |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cwina 9504 | . 2 | |
2 | vx | . . . . . 6 | |
3 | 2 | cv 1482 | . . . . 5 |
4 | c0 3915 | . . . . 5 | |
5 | 3, 4 | wne 2794 | . . . 4 |
6 | ccf 8763 | . . . . . 6 | |
7 | 3, 6 | cfv 5888 | . . . . 5 |
8 | 7, 3 | wceq 1483 | . . . 4 |
9 | vy | . . . . . . . 8 | |
10 | 9 | cv 1482 | . . . . . . 7 |
11 | vz | . . . . . . . 8 | |
12 | 11 | cv 1482 | . . . . . . 7 |
13 | csdm 7954 | . . . . . . 7 | |
14 | 10, 12, 13 | wbr 4653 | . . . . . 6 |
15 | 14, 11, 3 | wrex 2913 | . . . . 5 |
16 | 15, 9, 3 | wral 2912 | . . . 4 |
17 | 5, 8, 16 | w3a 1037 | . . 3 |
18 | 17, 2 | cab 2608 | . 2 |
19 | 1, 18 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: elwina 9508 |
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