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Mirrors > Home > ILE Home > Th. List > ssrab | Unicode version |
Description: Subclass of a restricted class abstraction. (Contributed by NM, 16-Aug-2006.) |
Ref | Expression |
---|---|
ssrab |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rab 2402 | . . 3 | |
2 | 1 | sseq2i 3094 | . 2 |
3 | ssab 3137 | . 2 | |
4 | dfss3 3057 | . . . 4 | |
5 | 4 | anbi1i 453 | . . 3 |
6 | r19.26 2535 | . . 3 | |
7 | df-ral 2398 | . . 3 | |
8 | 5, 6, 7 | 3bitr2ri 208 | . 2 |
9 | 2, 3, 8 | 3bitri 205 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1314 wcel 1465 cab 2103 wral 2393 crab 2397 wss 3041 |
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-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ral 2398 df-rab 2402 df-in 3047 df-ss 3054 |
This theorem is referenced by: ssrabdv 3146 frind 4244 epttop 12186 |
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