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Mirrors > Home > ILE Home > Th. List > ssun2 | Unicode version |
Description: Subclass relationship for union of classes. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
ssun2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssun1 3313 |
. 2
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2 | uncom 3294 |
. 2
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3 | 1, 2 | sseqtri 3204 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 df-un 3148 df-in 3150 df-ss 3157 |
This theorem is referenced by: ssun4 3316 elun2 3318 unv 3475 un00 3484 snsspr2 3756 snsstp3 3759 unexb 4460 rnexg 4910 brtpos0 6278 ac6sfi 6927 caserel 7117 pnfxr 8041 ltrelxr 8049 un0mulcl 9241 fsumsplit 11450 fprodsplitdc 11639 lspun 13735 cnfldcj 13888 lgsdir2lem3 14909 bdunexb 15150 |
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