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Mirrors > Home > NFE Home > Th. List > elqsg | Unicode version |
Description: Closed form of elqs 5977. (Contributed by Rodolfo Medina, 12-Oct-2010.) |
Ref | Expression |
---|---|
elqsg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq1 2359 | . . 3 | |
2 | 1 | rexbidv 2635 | . 2 |
3 | df-qs 5951 | . 2 | |
4 | 2, 3 | elab2g 2987 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wceq 1642 wcel 1710 wrex 2615 cec 5945 cqs 5946 |
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-rex 2620 df-v 2861 df-qs 5951 |
This theorem is referenced by: elqs 5977 elqsi 5978 ecelqsg 5979 elncs 6119 |
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