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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 2258 | . 2 | |
2 | nfv 1493 | . 2 | |
3 | riota2.1 | . 2 | |
4 | 1, 2, 3 | riota2f 5719 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1316 wcel 1465 wreu 2395 crio 5697 |
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-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-eu 1980 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 df-reu 2400 df-v 2662 df-sbc 2883 df-un 3045 df-sn 3503 df-pr 3504 df-uni 3707 df-iota 5058 df-riota 5698 |
This theorem is referenced by: eqsupti 6851 prsrriota 7564 recriota 7666 axcaucvglemval 7673 subadd 7933 divmulap 8403 flqlelt 10017 flqbi 10031 remim 10600 resqrtcl 10769 rersqrtthlem 10770 divalgmod 11551 dfgcd3 11625 bezout 11626 oddpwdclemxy 11774 qnumdenbi 11797 |
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