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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-vprc | Unicode version |
Description: vprc 4055 from bounded separation. (Contributed by BJ, 18-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-vprc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-nalset 13082 | . . 3 | |
2 | vex 2684 | . . . . . . 7 | |
3 | 2 | tbt 246 | . . . . . 6 |
4 | 3 | albii 1446 | . . . . 5 |
5 | dfcleq 2131 | . . . . 5 | |
6 | 4, 5 | bitr4i 186 | . . . 4 |
7 | 6 | exbii 1584 | . . 3 |
8 | 1, 7 | mtbi 659 | . 2 |
9 | isset 2687 | . 2 | |
10 | 8, 9 | mtbir 660 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 104 wal 1329 wceq 1331 wex 1468 wcel 1480 cvv 2681 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 603 ax-in2 604 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-13 1491 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2119 ax-bdn 13004 ax-bdel 13008 ax-bdsep 13071 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-fal 1337 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-v 2683 |
This theorem is referenced by: bj-nvel 13084 bj-vnex 13085 bj-intexr 13095 bj-intnexr 13096 |
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