New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > vtoclegft | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Closed theorem version of vtoclef 2927.) (Contributed by NM, 7-Nov-2005.) (Revised by Mario Carneiro, 11-Oct-2016.) |
Ref | Expression |
---|---|
vtoclegft |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elisset 2869 | . . . 4 | |
2 | exim 1575 | . . . 4 | |
3 | 1, 2 | mpan9 455 | . . 3 |
4 | 3 | 3adant2 974 | . 2 |
5 | 19.9t 1779 | . . 3 | |
6 | 5 | 3ad2ant2 977 | . 2 |
7 | 4, 6 | mpbid 201 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 w3a 934 wal 1540 wex 1541 wnf 1544 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-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-3an 936 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-v 2861 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |