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Mirrors > Home > ILE Home > Th. List > elun2 | Unicode version |
Description: Membership law for union of classes. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
elun2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssun2 3281 | . 2 | |
2 | 1 | sseli 3133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 2135 cun 3109 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-v 2723 df-un 3115 df-in 3117 df-ss 3124 |
This theorem is referenced by: dcun 3514 exmidundif 4179 exmidundifim 4180 dftpos4 6222 tfrlemibxssdm 6286 tfrlemi14d 6292 tfr1onlembxssdm 6302 tfr1onlemres 6308 tfrcllembxssdm 6315 tfrcllemres 6321 dcdifsnid 6463 findcard2d 6848 findcard2sd 6849 onunsnss 6873 undifdcss 6879 fisseneq 6888 fidcenumlemrks 6909 djurclr 7006 djurcl 7008 djuss 7026 finomni 7095 mnfxr 7946 hashinfuni 10679 fsumsplitsnun 11346 sumsplitdc 11359 modfsummodlem1 11383 exmidunben 12302 srnginvld 12463 lmodvscad 12474 ipsscad 12482 ipsvscad 12483 ipsipd 12484 |
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