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Mirrors > Home > NFE 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 2485 | . 2 |
4 | 1, 3 | sylibr 203 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wceq 1642 wnfc 2476 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 df-cleq 2346 df-clel 2349 df-nfc 2478 |
This theorem is referenced by: nfcsb1d 3166 nfcsbd 3169 nfifd 3685 nfunid 3898 nfiotad 4342 nfovd 5544 |
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