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Mirrors > Home > ILE Home > Th. List > nfan1 | Unicode version |
Description: A closed form of nfan 1497. (Contributed by Mario Carneiro, 3-Oct-2016.) |
Ref | Expression |
---|---|
nfan1.1 | |
nfan1.2 |
Ref | Expression |
---|---|
nfan1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfan1.2 | . . . . 5 | |
2 | 1 | nfrd 1453 | . . . 4 |
3 | 2 | imdistani 433 | . . 3 |
4 | nfan1.1 | . . . . 5 | |
5 | 4 | nfri 1452 | . . . 4 |
6 | 5 | 19.28h 1494 | . . 3 |
7 | 3, 6 | sylibr 132 | . 2 |
8 | 7 | nfi 1391 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wal 1282 wnf 1389 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-4 1440 |
This theorem depends on definitions: df-bi 115 df-nf 1390 |
This theorem is referenced by: nfan 1497 sbcralt 2890 sbcrext 2891 csbiebt 2942 riota5f 5512 |
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