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Theorem nfcrd 2188
Description: Consequence of the not-free predicate. (Contributed by Mario Carneiro, 11-Aug-2016.)
Hypothesis
Ref Expression
nfeqd.1  F/_
Assertion
Ref Expression
nfcrd  F/
Distinct variable groups:   ,   ,
Allowed substitution hints:   (,)   ()

Proof of Theorem nfcrd
StepHypRef Expression
1 nfeqd.1 . 2  F/_
2 nfcr 2167 . 2  F/_  F/
31, 2syl 14 1  F/
Colors of variables: wff set class
Syntax hints:   wi 4   F/wnf 1346   wcel 1390   F/_wnfc 2162
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-4 1397
This theorem depends on definitions:  df-bi 110  df-nfc 2164
This theorem is referenced by:  nfeqd  2189  nfeld  2190  dvelimdc  2194  nfcsbd  2877  nfifd  3349
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