Theorem nfd 1878

Description: Deduce that is not free in in a context. (Contributed by Mario Carneiro, 24-Sep-2016.)

Hypotheses

Ref	Expression
nfd.1
nfd.2

Assertion

Ref	Expression
nfd

Proof of Theorem nfd

Step	Hyp	Ref	Expression
1		nfd.1	. . 3
2		nfd.2	. . 3
3	1, 2	alrimi 1877	. 2
4		df-nf 1617	. 2
5	3, 4	sylibr 212	1

Syntax hints:  ->wi 4  A.wal 1393  F/wnf 1616

This theorem is referenced by:  nfdh  1879  nfnt  1900  ax16nf  1944  nfald  1951  dvelimhw  1955  cbv1h  2018  nfeqf  2045  ax16nfALT  2065  nfsb2  2100  copsexgOLD  4738  distel  29236  wl-ax11-lem3  30027  bj-cbv1hv  34293  bj-ax16nf  34324  bj-nfsb2v  34340

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-nf 1617