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Theorem wl-nfae1 31818
Description: Unlike nfae 2112, this specialized theorem avoids ax-11 1893. (Contributed by Wolf Lammen, 26-Jun-2019.)
Assertion
Ref Expression
wl-nfae1  |-  F/ x A. y  y  =  x

Proof of Theorem wl-nfae1
StepHypRef Expression
1 aecom 2107 . 2  |-  ( A. y  y  =  x  <->  A. x  x  =  y )
2 nfa1 1953 . 2  |-  F/ x A. x  x  =  y
31, 2nfxfr 1693 1  |-  F/ x A. y  y  =  x
Colors of variables: wff setvar class
Syntax hints:   A.wal 1436   F/wnf 1664
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1666  ax-4 1679  ax-5 1749  ax-6 1795  ax-7 1840  ax-10 1888  ax-12 1906  ax-13 2054
This theorem depends on definitions:  df-bi 189  df-an 373  df-ex 1661  df-nf 1665
This theorem is referenced by:  wl-nfnae1  31819
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