Theorem nfnae 1770

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 1767	. 2 |- F/ z A. x x = y
2	1	nfn 1706	1 |- F/ z -. A. x x = y

Syntax hints:   -. wn 3   A.wal 1395   F/wnf 1508

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-in1 619  ax-in2 620  ax-io 716  ax-5 1495  ax-7 1496  ax-gen 1497  ax-ie2 1542  ax-8 1552  ax-10 1553  ax-11 1554  ax-i12 1555  ax-4 1558  ax-17 1574  ax-i9 1578  ax-ial 1582

This theorem depends on definitions:  df-bi 117  df-tru 1400  df-fal 1403  df-nf 1509

This theorem is referenced by:  sbequ6  1831  dvelimfv  2064  nfsb4t  2067