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Mirrors > Home > ILE Home > Th. List > elqsg | Unicode version |
Description: Closed form of elqs 6157. (Contributed by Rodolfo Medina, 12-Oct-2010.) |
Ref | Expression |
---|---|
elqsg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq1 2046 | . . 3 | |
2 | 1 | rexbidv 2327 | . 2 |
3 | df-qs 6112 | . 2 | |
4 | 2, 3 | elab2g 2689 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wceq 1243 wcel 1393 wrex 2307 cec 6104 cqs 6105 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-v 2559 df-qs 6112 |
This theorem is referenced by: elqs 6157 elqsi 6158 ecelqsg 6159 |
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