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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 3163 |
. 2
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2 | uncom 3144 |
. 2
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3 | 1, 2 | sseqtri 3058 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-tru 1292 df-nf 1395 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 df-nfc 2217 df-v 2621 df-un 3003 df-in 3005 df-ss 3012 |
This theorem is referenced by: ssun4 3166 elun2 3168 unv 3320 un00 3329 snsspr2 3586 snsstp3 3589 unexb 4267 rnexg 4698 brtpos0 6017 ac6sfi 6614 caserel 6778 pnfxr 7540 ltrelxr 7547 un0mulcl 8707 fsumsplit 10801 bdunexb 11811 |
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