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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 3107 | . 2 | |
2 | 1 | sseli 2941 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1393 cun 2915 |
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-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 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-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 |
This theorem is referenced by: dftpos4 5878 tfrlemibxssdm 5941 tfrlemi14d 5947 nndifsnid 6080 fidifsnid 6332 findcard2d 6348 findcard2sd 6349 onunsnss 6355 mnfxr 8694 |
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