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Mirrors > Home > ILE Home > Th. List > nfcxfrd | Unicode version |
Description: A utility lemma to transfer a bound-variable hypothesis builder into a definition. (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfceqi.1 | |
nfcxfrd.2 |
Ref | Expression |
---|---|
nfcxfrd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcxfrd.2 | . 2 | |
2 | nfceqi.1 | . . 3 | |
3 | 2 | nfceqi 2215 | . 2 |
4 | 1, 3 | sylibr 132 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1284 wnfc 2206 |
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-ie1 1422 ax-ie2 1423 ax-4 1440 ax-17 1459 ax-ial 1467 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-cleq 2074 df-clel 2077 df-nfc 2208 |
This theorem is referenced by: nfcsb1d 2936 nfcsbd 2939 nfifd 3376 nfunid 3608 nfiotadxy 4890 nfriotadxy 5496 nfovd 5554 nfnegd 7304 |
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