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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdsepnfALT | Unicode version |
Description: Alternate proof of bdsepnf 13075, not using bdsepnft 13074. (Contributed by BJ, 5-Oct-2019.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bdsepnf.nf | |
bdsepnf.1 | BOUNDED |
Ref | Expression |
---|---|
bdsepnfALT |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdsepnf.1 | . . 3 BOUNDED | |
2 | 1 | bdsep2 13073 | . 2 |
3 | nfv 1508 | . . . . 5 | |
4 | nfv 1508 | . . . . . 6 | |
5 | bdsepnf.nf | . . . . . 6 | |
6 | 4, 5 | nfan 1544 | . . . . 5 |
7 | 3, 6 | nfbi 1568 | . . . 4 |
8 | 7 | nfal 1555 | . . 3 |
9 | nfv 1508 | . . 3 | |
10 | elequ2 1691 | . . . . 5 | |
11 | 10 | bibi1d 232 | . . . 4 |
12 | 11 | albidv 1796 | . . 3 |
13 | 8, 9, 12 | cbvex 1729 | . 2 |
14 | 2, 13 | mpbi 144 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wal 1329 wnf 1436 wex 1468 BOUNDED wbd 12999 |
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-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 ax-bdsep 13071 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-cleq 2130 df-clel 2133 |
This theorem is referenced by: (None) |
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