Theorem ax12or 1554

Description: Alias for ax-i12 1553, 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

Step	Hyp	Ref	Expression
1		ax-i12 1553	1 |- ( A. z z = x \/ ( A. z z = y \/ A. z ( x = y -> A. z x = y ) ) )

Syntax hints:   -> wi 4   \/ wo 713   A.wal 1393

This theorem was proved from axioms:  ax-i12 1553

This theorem is referenced by:  ax12  1558  hbequid  1559  hbae  1764  equvini  1804  equveli  1805  dveeq2  1861  dveeq2or  1862  dvelimALT  2061  dvelimfv  2062