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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfss1 3354 |
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-in 3150 df-ss 3157 |
This theorem is referenced by: dfss4st 3383 resabs1 4954 rescnvcnv 5109 frecfnom 6426 fiintim 6957 nn0supp 9258 uzin 9590 iooval2 9945 fzval2 10041 suprzubdc 11985 dfphi2 12252 ressabsg 12588 resttopon 14128 restabs 14132 restopnb 14138 txcnmpt 14230 |
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