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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 |
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nfcxfrd.2 |
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Ref | Expression |
---|---|
nfcxfrd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcxfrd.2 |
. 2
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2 | nfceqi.1 |
. . 3
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3 | 2 | nfceqi 2278 |
. 2
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4 | 1, 3 | sylibr 133 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-cleq 2133 df-clel 2136 df-nfc 2271 |
This theorem is referenced by: nfcsb1d 3038 nfcsbd 3041 nfifd 3504 nfunid 3751 nfiotadw 5099 nfriotadxy 5746 nfovd 5808 nfnegd 7982 |
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