Theorem nfcrd 2625

Description: Consequence of the not-free predicate. (Contributed by Mario Carneiro, 11-Aug-2016.)

Hypothesis

Ref	Expression
nfeqd.1

Assertion

Ref	Expression
nfcrd

Distinct variable groups:   ,   ,

Proof of Theorem nfcrd

Step	Hyp	Ref	Expression
1		nfeqd.1	. 2
2		nfcr 2610	. 2
3	1, 2	syl 16	1

Syntax hints:  ->wi 4  F/wnf 1616  e.wcel 1818  F/_wnfc 2605

This theorem is referenced by:  nfeqd  2626  nfeld  2627  dvelimdc  2642  nfcsbd  3451  nfifd  3969  axextnd  8987  axrepndlem1  8988  axunndlem1  8991  axregnd  9002  axregndOLD  9003  axextdist  29232

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854

This theorem depends on definitions:  df-bi 185  df-ex 1613  df-nfc 2607