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Mirrors > Home > ILE Home > Th. List > dfss3 | Unicode version |
Description: Alternate definition of subclass relationship. (Contributed by NM, 14-Oct-1999.) |
Ref | Expression |
---|---|
dfss3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfss2 2934 | . 2 | |
2 | df-ral 2311 | . 2 | |
3 | 1, 2 | bitr4i 176 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 wcel 1393 wral 2306 wss 2917 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-ral 2311 df-in 2924 df-ss 2931 |
This theorem is referenced by: ssrab 3018 eqsnm 3526 uni0b 3605 uni0c 3606 ssint 3631 ssiinf 3706 sspwuni 3739 dftr3 3858 tfis 4306 rninxp 4764 fnres 5015 eqfnfv3 5267 funimass3 5283 ffvresb 5328 tfrlemibxssdm 5941 bdss 9984 |
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