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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 |
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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 2315 |
. 2
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4 | 1, 3 | sylibr 134 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-17 1526 ax-ial 1534 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-cleq 2170 df-clel 2173 df-nfc 2308 |
This theorem is referenced by: nfcsb1d 3088 nfcsbd 3092 nfcsbw 3093 nfifd 3561 nfunid 3816 nfiotadw 5181 nfriotadxy 5838 nfovd 5903 nfnegd 8151 |
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