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Theorem nfae 1680
Description: All variables are effectively bound in an identical variable specifier. (Contributed by Mario Carneiro, 11-Aug-2016.)
Assertion
Ref Expression
nfae  |-  F/ z A. x  x  =  y

Proof of Theorem nfae
StepHypRef Expression
1 hbae 1679 . 2  |-  ( A. x  x  =  y  ->  A. z A. x  x  =  y )
21nfi 1421 1  |-  F/ z A. x  x  =  y
Colors of variables: wff set class
Syntax hints:   A.wal 1312   F/wnf 1419
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-io 681  ax-5 1406  ax-7 1407  ax-gen 1408  ax-ie2 1453  ax-8 1465  ax-10 1466  ax-11 1467  ax-i12 1468  ax-4 1470  ax-17 1489  ax-i9 1493  ax-ial 1497
This theorem depends on definitions:  df-bi 116  df-nf 1420
This theorem is referenced by:  nfnae  1683  sbequ5  1738  a16nf  1820  dvelimfv  1962  dvelimor  1969  copsexg  4134
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