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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 2174 |
. 2
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4 | 1, 3 | sylibr 137 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-17 1419 ax-ial 1427 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-cleq 2033 df-clel 2036 df-nfc 2167 |
This theorem is referenced by: nfcsb1d 2880 nfcsbd 2883 nfifd 3355 nfunid 3587 nfiotadxy 4870 nfriotadxy 5476 nfovd 5534 nfnegd 7207 |
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