Theorem wl-nfae1 31904

Description: Unlike nfae 2160, this specialized theorem avoids ax-11 1930. (Contributed by Wolf Lammen, 26-Jun-2019.)

Assertion

Ref	Expression
wl-nfae1	|- F/ x A. y y = x

Proof of Theorem wl-nfae1

Step	Hyp	Ref	Expression
1		aecom 2155	. 2 |- ( A. y y = x <-> A. x x = y )
2		nfa1 1989	. 2 |- F/ x A. x x = y
3	1, 2	nfxfr 1706	1 |- F/ x A. y y = x

Syntax hints:   A.wal 1452   F/wnf 1677

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1679  ax-4 1692  ax-5 1768  ax-6 1815  ax-7 1861  ax-10 1925  ax-12 1943  ax-13 2101

This theorem depends on definitions:  df-bi 190  df-an 377  df-ex 1674  df-nf 1678

This theorem is referenced by:  wl-nfnae1  31905