Theorem wl-nfnae1 33316

Description: Unlike nfnae 2318, this specialized theorem avoids ax-11 2034. (Contributed by Wolf Lammen, 27-Jun-2019.)

Assertion

Ref	Expression
wl-nfnae1	|- F/ x -. A. y y = x

Proof of Theorem wl-nfnae1

Step	Hyp	Ref	Expression
1		wl-nfae1 33315	. 2 |- F/ x A. y y = x
2	1	nfn 1784	1 |- F/ x -. A. y y = x

Syntax hints:   -. wn 3   A.wal 1481   F/wnf 1708

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-10 2019  ax-12 2047  ax-13 2246

This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-ex 1705  df-nf 1710

This theorem is referenced by:  wl-cbvalnaed  33319  wl-2sb6d  33341