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Mirrors > Home > ILE Home > Th. List > riota2 | Unicode version |
Description: This theorem shows a condition that allows us to represent a descriptor with a class expression . (Contributed by NM, 23-Aug-2011.) (Revised by Mario Carneiro, 10-Dec-2016.) |
Ref | Expression |
---|---|
riota2.1 |
Ref | Expression |
---|---|
riota2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2219 | . 2 | |
2 | nfv 1461 | . 2 | |
3 | riota2.1 | . 2 | |
4 | 1, 2, 3 | riota2f 5509 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 wceq 1284 wcel 1433 wreu 2350 crio 5487 |
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 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-eu 1944 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-rex 2354 df-reu 2355 df-v 2603 df-sbc 2816 df-un 2977 df-sn 3404 df-pr 3405 df-uni 3602 df-iota 4887 df-riota 5488 |
This theorem is referenced by: eqsupti 6409 prsrriota 6964 recriota 7056 axcaucvglemval 7063 subadd 7311 divmulap 7763 flqlelt 9278 flqbi 9292 remim 9747 resqrtcl 9915 rersqrtthlem 9916 divalgmod 10327 dfgcd3 10399 bezout 10400 oddpwdclemxy 10547 |
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