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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 2877 | . 2 |
3 | 2 | baib 909 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1342 wcel 2135 crab 2446 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rab 2451 df-v 2723 |
This theorem is referenced by: unimax 3817 undifexmid 4166 frind 4324 ordtriexmidlem2 4491 ordtriexmid 4492 ontriexmidim 4493 ordtri2orexmid 4494 onsucelsucexmid 4501 0elsucexmid 4536 ordpwsucexmid 4541 ordtri2or2exmid 4542 ontri2orexmidim 4543 canth 5790 acexmidlema 5827 acexmidlemb 5828 isnumi 7129 genpelvl 7444 genpelvu 7445 cauappcvgprlemladdru 7588 cauappcvgprlem1 7591 caucvgprlem1 7611 sup3exmid 8843 supinfneg 9524 infsupneg 9525 supminfex 9526 ublbneg 9542 negm 9544 hashinfuni 10679 infssuzex 11867 gcddvds 11881 dvdslegcd 11882 bezoutlemsup 11927 lcmval 11974 dvdslcm 11980 isprm2lem 12027 |
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