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Theorem ax12or 1490
Description: Another name for ax-i12 1485. (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 1485 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 697   A.wal 1329
This theorem was proved from axioms:  ax-i12 1485
This theorem is referenced by:  hbequid  1493  hbae  1696  equvini  1731  equveli  1732
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