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Mirrors > Home > NFE Home > Th. List > rabn0 | Unicode version |
Description: Non-empty restricted class abstraction. (Contributed by NM, 29-Aug-1999.) |
Ref | Expression |
---|---|
rabn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abn0 3568 | . 2 | |
2 | df-rab 2623 | . . 3 | |
3 | 2 | neeq1i 2526 | . 2 |
4 | df-rex 2620 | . 2 | |
5 | 1, 3, 4 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 wa 358 wex 1541 wcel 1710 cab 2339 wne 2516 wrex 2615 crab 2618 c0 3550 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 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-nan 1288 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-ne 2518 df-rex 2620 df-rab 2623 df-v 2861 df-nin 3211 df-compl 3212 df-in 3213 df-dif 3215 df-nul 3551 |
This theorem is referenced by: rabeq0 3572 |
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