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Mirrors > Home > ILE Home > Th. List > sseqin2 | Unicode version |
Description: A relationship between subclass and intersection. Similar to Exercise 9 of [TakeutiZaring] p. 18. (Contributed by NM, 17-May-1994.) |
Ref | Expression |
---|---|
sseqin2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfss1 3250 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1316 cin 3040 wss 3041 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-in 3047 df-ss 3054 |
This theorem is referenced by: dfss4st 3279 resabs1 4818 rescnvcnv 4971 frecfnom 6266 fiintim 6785 nn0supp 8997 uzin 9326 iooval2 9666 fzval2 9761 dfphi2 11823 resttopon 12267 restabs 12271 restopnb 12277 txcnmpt 12369 |
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