Theorem nfnae 1701

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 1698	. 2 |- F/ z A. x x = y
2	1	nfn 1637	1 |- F/ z -. A. x x = y

Syntax hints:   -. wn 3   A.wal 1330   F/wnf 1437

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-io 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie2 1471  ax-8 1483  ax-10 1484  ax-11 1485  ax-i12 1486  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515

This theorem depends on definitions:  df-bi 116  df-tru 1335  df-fal 1338  df-nf 1438

This theorem is referenced by:  sbequ6  1757  dvelimfv  1987  nfsb4t  1990