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Mirrors > Home > NFE Home > Th. List > cgsex2g | Unicode version |
Description: Implicit substitution inference for general classes. (Contributed by NM, 26-Jul-1995.) |
Ref | Expression |
---|---|
cgsex2g.1 | |
cgsex2g.2 |
Ref | Expression |
---|---|
cgsex2g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cgsex2g.2 | . . . 4 | |
2 | 1 | biimpa 470 | . . 3 |
3 | 2 | exlimivv 1635 | . 2 |
4 | elisset 2869 | . . . . . 6 | |
5 | elisset 2869 | . . . . . 6 | |
6 | 4, 5 | anim12i 549 | . . . . 5 |
7 | eeanv 1913 | . . . . 5 | |
8 | 6, 7 | sylibr 203 | . . . 4 |
9 | cgsex2g.1 | . . . . 5 | |
10 | 9 | 2eximi 1577 | . . . 4 |
11 | 8, 10 | syl 15 | . . 3 |
12 | 1 | biimprcd 216 | . . . . 5 |
13 | 12 | ancld 536 | . . . 4 |
14 | 13 | 2eximdv 1624 | . . 3 |
15 | 11, 14 | syl5com 26 | . 2 |
16 | 3, 15 | impbid2 195 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wex 1541 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-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 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) |
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