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Theorem ax12or 1508
Description: Alias for ax-i12 1507, to be used in place of it for labeling consistency. (Contributed by NM, 3-Feb-2015.)
Assertion
Ref Expression
ax12or  |-  ( A. z  z  =  x  \/  ( A. z  z  =  y  \/  A. z ( x  =  y  ->  A. z  x  =  y )
) )

Proof of Theorem ax12or
StepHypRef Expression
1 ax-i12 1507 1  |-  ( A. z  z  =  x  \/  ( A. z  z  =  y  \/  A. z ( x  =  y  ->  A. z  x  =  y )
) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 708   A.wal 1351
This theorem was proved from axioms:  ax-i12 1507
This theorem is referenced by:  ax12  1512  hbequid  1513  hbae  1718  equvini  1758  equveli  1759  dveeq2  1815  dveeq2or  1816  dvelimALT  2010  dvelimfv  2011
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