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Mirrors > Home > ILE Home > Th. List > ssexd | Unicode version |
Description: A subclass of a set is a set. Deduction form of ssexg 4067. (Contributed by David Moews, 1-May-2017.) |
Ref | Expression |
---|---|
ssexd.1 | |
ssexd.2 |
Ref | Expression |
---|---|
ssexd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssexd.2 | . 2 | |
2 | ssexd.1 | . 2 | |
3 | ssexg 4067 | . 2 | |
4 | 1, 2, 3 | syl2anc 408 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1480 cvv 2686 wss 3071 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-sep 4046 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-v 2688 df-in 3077 df-ss 3084 |
This theorem is referenced by: fex2 5291 riotaexg 5734 opabbrex 5815 f1imaen2g 6687 fiss 6865 genipv 7317 suplocexprlemlub 7532 hashfacen 10579 ovshftex 10591 strslssd 12005 restid2 12129 2basgeng 12251 cnrest2 12405 cnptopresti 12407 cnptoprest 12408 cnptoprest2 12409 cnmpt2res 12466 psmetres2 12502 xmetres2 12548 limccnp2lem 12814 limccnp2cntop 12815 dvfvalap 12819 dvmulxxbr 12835 dvaddxx 12836 dvmulxx 12837 dviaddf 12838 dvimulf 12839 dvcoapbr 12840 dvmptaddx 12850 dvmptmulx 12851 |
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