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Theorem ax12or 1448
Description: Another name for ax-i12 1443. (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 1443 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 664   A.wal 1287
This theorem was proved from axioms:  ax-i12 1443
This theorem is referenced by:  hbequid  1451  hbae  1653  equvini  1688  equveli  1689
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