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Theorem ax12or 1522
Description: Alias for ax-i12 1521, 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 1521 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 709   A.wal 1362
This theorem was proved from axioms:  ax-i12 1521
This theorem is referenced by:  ax12  1526  hbequid  1527  hbae  1732  equvini  1772  equveli  1773  dveeq2  1829  dveeq2or  1830  dvelimALT  2029  dvelimfv  2030
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