Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > strcollnfALT | Unicode version |
Description: Alternate proof of strcollnf 13729, not using strcollnft 13728. (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 13727 | . 2 | |
2 | nfcv 2306 | . . . . 5 | |
3 | nfcv 2306 | . . . . . 6 | |
4 | strcollnf.nf | . . . . . 6 | |
5 | 3, 4 | nfrexxy 2503 | . . . . 5 |
6 | 2, 5 | nfralxy 2502 | . . . 4 |
7 | 2, 4 | nfrexxy 2503 | . . . . 5 |
8 | 3, 7 | nfralxy 2502 | . . . 4 |
9 | 6, 8 | nfan 1552 | . . 3 |
10 | nfv 1515 | . . . 4 | |
11 | nfv 1515 | . . . 4 | |
12 | 10, 11 | nfan 1552 | . . 3 |
13 | rexeq 2660 | . . . . 5 | |
14 | 13 | ralbidv 2464 | . . . 4 |
15 | raleq 2659 | . . . 4 | |
16 | 14, 15 | anbi12d 465 | . . 3 |
17 | 9, 12, 16 | cbvex 1743 | . 2 |
18 | 1, 17 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wnf 1447 wex 1479 wral 2442 wrex 2443 |
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-io 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 ax-strcoll 13726 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-cleq 2157 df-clel 2160 df-nfc 2295 df-ral 2447 df-rex 2448 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |