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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 2275 | . 2 |
4 | 1, 3 | sylibr 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 wnfc 2266 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-cleq 2130 df-clel 2133 df-nfc 2268 |
This theorem is referenced by: nfcsb1d 3028 nfcsbd 3031 nfifd 3494 nfunid 3738 nfiotadw 5086 nfriotadxy 5731 nfovd 5793 nfnegd 7951 |
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