Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > bdsepnfALT | Unicode version |
Description: Alternate proof of bdsepnf 10008, not using bdsepnft 10007. (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 10006 | . 2 |
3 | nfv 1421 | . . . . 5 | |
4 | nfv 1421 | . . . . . 6 | |
5 | bdsepnf.nf | . . . . . 6 | |
6 | 4, 5 | nfan 1457 | . . . . 5 |
7 | 3, 6 | nfbi 1481 | . . . 4 |
8 | 7 | nfal 1468 | . . 3 |
9 | nfv 1421 | . . 3 | |
10 | elequ2 1601 | . . . . 5 | |
11 | 10 | bibi1d 222 | . . . 4 |
12 | 11 | albidv 1705 | . . 3 |
13 | 8, 9, 12 | cbvex 1639 | . 2 |
14 | 2, 13 | mpbi 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wb 98 wal 1241 wnf 1349 wex 1381 BOUNDED wbd 9932 |
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-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-4 1400 ax-14 1405 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-bdsep 10004 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-cleq 2033 df-clel 2036 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |