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Mirrors > Home > ILE Home > Th. List > elrab3 | Unicode version |
Description: Membership in a restricted class abstraction, using implicit substitution. (Contributed by NM, 5-Oct-2006.) |
Ref | Expression |
---|---|
elrab.1 |
Ref | Expression |
---|---|
elrab3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elrab.1 | . . 3 | |
2 | 1 | elrab 2840 | . 2 |
3 | 2 | baib 904 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 wcel 1480 crab 2420 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rab 2425 df-v 2688 |
This theorem is referenced by: unimax 3770 undifexmid 4117 frind 4274 ordtriexmidlem2 4436 ordtriexmid 4437 ordtri2orexmid 4438 onsucelsucexmid 4445 0elsucexmid 4480 ordpwsucexmid 4485 ordtri2or2exmid 4486 acexmidlema 5765 acexmidlemb 5766 isnumi 7038 genpelvl 7320 genpelvu 7321 cauappcvgprlemladdru 7464 cauappcvgprlem1 7467 caucvgprlem1 7487 sup3exmid 8715 supinfneg 9390 infsupneg 9391 supminfex 9392 ublbneg 9405 negm 9407 hashinfuni 10523 infssuzex 11642 gcddvds 11652 dvdslegcd 11653 bezoutlemsup 11697 lcmval 11744 dvdslcm 11750 isprm2lem 11797 |
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