Theorem nfcxfrd 2618

Description: A utility lemma to transfer a bound-variable hypothesis builder into a definition. (Contributed by Mario Carneiro, 11-Aug-2016.)

Hypotheses

Ref	Expression
nfceqi.1
nfcxfrd.2

Assertion

Ref	Expression
nfcxfrd

Proof of Theorem nfcxfrd

Step	Hyp	Ref	Expression
1		nfcxfrd.2	. 2
2		nfceqi.1	. . 3
3	2	nfceqi 2615	. 2
4	1, 3	sylibr 212	1

Syntax hints:  ->wi 4  =wceq 1395  F/_wnfc 2605

This theorem is referenced by:  nfcsb1d  3448  nfcsbd  3451  nfifd  3969  nfunid  4256  nfiotad  5559  nfriotad  6265  nfovd  6321  nfnegd  9838

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  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-cleq 2449  df-clel 2452  df-nfc 2607