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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 3235 | . 2 | |
2 | 1 | sseli 3088 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1480 cun 3064 |
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 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 |
This theorem is referenced by: dcun 3468 exmidundif 4124 exmidundifim 4125 dftpos4 6153 tfrlemibxssdm 6217 tfrlemi14d 6223 tfr1onlembxssdm 6233 tfr1onlemres 6239 tfrcllembxssdm 6246 tfrcllemres 6252 dcdifsnid 6393 findcard2d 6778 findcard2sd 6779 onunsnss 6798 undifdcss 6804 fisseneq 6813 fidcenumlemrks 6834 djurclr 6928 djurcl 6930 djuss 6948 finomni 7005 mnfxr 7815 hashinfuni 10516 fsumsplitsnun 11181 sumsplitdc 11194 modfsummodlem1 11218 exmidunben 11928 srnginvld 12074 lmodvscad 12085 ipsscad 12093 ipsvscad 12094 ipsipd 12095 |
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