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Mirrors > Home > NFE Home > Th. List > vtocl2g | Unicode version |
Description: Implicit substitution of 2 classes for 2 setvar variables. (Contributed by NM, 25-Apr-1995.) |
Ref | Expression |
---|---|
vtocl2g.1 | |
vtocl2g.2 | |
vtocl2g.3 |
Ref | Expression |
---|---|
vtocl2g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2489 | . 2 | |
2 | nfcv 2489 | . 2 | |
3 | nfcv 2489 | . 2 | |
4 | nfv 1619 | . 2 | |
5 | nfv 1619 | . 2 | |
6 | vtocl2g.1 | . 2 | |
7 | vtocl2g.2 | . 2 | |
8 | vtocl2g.3 | . 2 | |
9 | 1, 2, 3, 4, 5, 6, 7, 8 | vtocl2gf 2916 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 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: ifexg 3721 uniprg 3906 intprg 3960 ninexg 4097 preqr2g 4126 preaddccan2lem1 4454 spfinsfincl 4539 opelopabsb 4697 br1stg 4730 vtoclr 4816 fnunsn 5190 f1osng 5323 fsng 5433 fvsng 5446 trtxp 5781 oqelins4 5794 qrpprod 5836 clos1exg 5877 clos1conn 5879 clos1basesucg 5884 mapex 6006 xpsneng 6050 xpcomeng 6053 enpw1 6062 enmap2 6068 enpw 6087 addccan2nclem2 6264 |
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