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Mirrors > Home > ILE Home > Th. List > rabn0m | Unicode version |
Description: Inhabited restricted class abstraction. (Contributed by Jim Kingdon, 18-Sep-2018.) |
Ref | Expression |
---|---|
rabn0m |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2420 | . 2 | |
2 | rabid 2604 | . . 3 | |
3 | 2 | exbii 1584 | . 2 |
4 | nfv 1508 | . . 3 | |
5 | df-rab 2423 | . . . . 5 | |
6 | 5 | eleq2i 2204 | . . . 4 |
7 | nfsab1 2127 | . . . 4 | |
8 | 6, 7 | nfxfr 1450 | . . 3 |
9 | eleq1 2200 | . . 3 | |
10 | 4, 8, 9 | cbvex 1729 | . 2 |
11 | 1, 3, 10 | 3bitr2ri 208 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1468 wcel 1480 cab 2123 wrex 2415 crab 2418 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-rex 2420 df-rab 2423 |
This theorem is referenced by: exss 4144 |
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