Theorem nfn 1646

Description: Inference associated with nfnt 1644. (Contributed by Mario Carneiro, 11-Aug-2016.)

Hypothesis

Ref	Expression
nfn.1	|- F/ x ph

Assertion

Ref	Expression
nfn	|- F/ x -. ph

Proof of Theorem nfn

Step	Hyp	Ref	Expression
1		nfn.1	. 2 |- F/ x ph
2		nfnt 1644	. 2 |- ( F/ x ph -> F/ x -. ph )
3	1, 2	ax-mp 5	1 |- F/ x -. ph

Syntax hints:   -. wn 3   F/wnf 1448

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 604  ax-in2 605  ax-5 1435  ax-gen 1437  ax-ie2 1482  ax-4 1498  ax-ial 1522

This theorem depends on definitions:  df-bi 116  df-tru 1346  df-fal 1349  df-nf 1449

This theorem is referenced by:  nfdc  1647  19.32dc  1667  nfnae  1710  mo2n  2042  nfne  2429  nfnel  2438  nfdif  3243  nfpo  4279  0neqopab  5887  nfsup  6957  ismkvnex  7119  mkvprop  7122  zsupcllemstep  11878  oddpwdclemndvds  12103  ismkvnnlem  13931