Theorem nfnae 1715

Description: All variables are effectively bound in a distinct variable specifier. (Contributed by Mario Carneiro, 11-Aug-2016.)

Assertion

Ref	Expression
nfnae	|- F/ z -. A. x x = y

Proof of Theorem nfnae

Step	Hyp	Ref	Expression
1		nfae 1712	. 2 |- F/ z A. x x = y
2	1	nfn 1651	1 |- F/ z -. A. x x = y

Syntax hints:   -. wn 3   A.wal 1346   F/wnf 1453

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 609  ax-in2 610  ax-io 704  ax-5 1440  ax-7 1441  ax-gen 1442  ax-ie2 1487  ax-8 1497  ax-10 1498  ax-11 1499  ax-i12 1500  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527

This theorem depends on definitions:  df-bi 116  df-tru 1351  df-fal 1354  df-nf 1454

This theorem is referenced by:  sbequ6  1776  dvelimfv  2004  nfsb4t  2007