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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 3244 |
. 2
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2 | uncom 3225 |
. 2
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3 | 1, 2 | sseqtri 3136 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-v 2691 df-un 3080 df-in 3082 df-ss 3089 |
This theorem is referenced by: ssun4 3247 elun2 3249 unv 3405 un00 3414 snsspr2 3677 snsstp3 3680 unexb 4371 rnexg 4812 brtpos0 6157 ac6sfi 6800 caserel 6980 pnfxr 7842 ltrelxr 7849 un0mulcl 9035 fsumsplit 11208 bdunexb 13289 |
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