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Mirrors > Home > NFE Home > Th. List > elrab | Unicode version |
Description: Membership in a restricted class abstraction, using implicit substitution. (Contributed by NM, 21-May-1999.) |
Ref | Expression |
---|---|
elrab.1 |
Ref | Expression |
---|---|
elrab |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2489 | . 2 | |
2 | nfcv 2489 | . 2 | |
3 | nfv 1619 | . 2 | |
4 | elrab.1 | . 2 | |
5 | 1, 2, 3, 4 | elrabf 2993 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wceq 1642 wcel 1710 crab 2618 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-rab 2623 df-v 2861 |
This theorem is referenced by: elrab3 2995 elrab2 2996 ralrab 2998 rexrab 3000 rabsnt 3797 unimax 3925 ssintub 3944 intminss 3952 elpmg 6013 nmembers1lem1 6268 nmembers1lem3 6270 |
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