Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > strcollnfALT | Unicode version |
Description: Alternate proof of strcollnf 10110, not using strcollnft 10109. (Contributed by BJ, 5-Oct-2019.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
strcollnf.nf |
Ref | Expression |
---|---|
strcollnfALT |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | strcoll2 10108 | . 2 | |
2 | nfv 1421 | . . . . 5 | |
3 | nfcv 2178 | . . . . . 6 | |
4 | strcollnf.nf | . . . . . 6 | |
5 | 3, 4 | nfrexxy 2361 | . . . . 5 |
6 | 2, 5 | nfbi 1481 | . . . 4 |
7 | 6 | nfal 1468 | . . 3 |
8 | nfv 1421 | . . 3 | |
9 | elequ2 1601 | . . . . 5 | |
10 | 9 | bibi1d 222 | . . . 4 |
11 | 10 | albidv 1705 | . . 3 |
12 | 7, 8, 11 | cbvex 1639 | . 2 |
13 | 1, 12 | sylib 127 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 wnf 1349 wex 1381 wral 2306 wrex 2307 |
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-14 1405 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-strcoll 10107 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-rex 2312 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |