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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 3331 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1348 cin 3120 wss 3121 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-v 2732 df-in 3127 df-ss 3134 |
This theorem is referenced by: dfss4st 3360 resabs1 4920 rescnvcnv 5073 frecfnom 6380 fiintim 6906 nn0supp 9187 uzin 9519 iooval2 9872 fzval2 9968 suprzubdc 11907 dfphi2 12174 resttopon 12965 restabs 12969 restopnb 12975 txcnmpt 13067 |
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