Theorem ax12or 1519

Description: Alias for ax-i12 1518, 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 1518	1 |- ( A. z z = x \/ ( A. z z = y \/ A. z ( x = y -> A. z x = y ) ) )

Syntax hints:   -> wi 4   \/ wo 709   A.wal 1362

This theorem was proved from axioms:  ax-i12 1518

This theorem is referenced by:  ax12  1523  hbequid  1524  hbae  1729  equvini  1769  equveli  1770  dveeq2  1826  dveeq2or  1827  dvelimALT  2026  dvelimfv  2027