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Mirrors > Home > NFE Home > Th. List > vtoclga | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 20-Aug-1995.) |
Ref | Expression |
---|---|
vtoclga.1 | |
vtoclga.2 |
Ref | Expression |
---|---|
vtoclga |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2489 | . 2 | |
2 | nfv 1619 | . 2 | |
3 | vtoclga.1 | . 2 | |
4 | vtoclga.2 | . 2 | |
5 | 1, 2, 3, 4 | vtoclgaf 2919 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wceq 1642 wcel 1710 |
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-v 2861 |
This theorem is referenced by: vtoclri 2929 ssuni 3913 peano2 4403 nncaddccl 4419 ltfintri 4466 ssfin 4470 nnadjoin 4520 fneu 5187 fnressn 5438 fressnfv 5439 ndmovcl 5614 caovord 5629 caovmo 5645 fvmptss 5705 leconnnc 6218 |
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