Theorem ax12or 1561

Description: Alias for ax-i12 1560, 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 1560	1 |- ( A. z z = x \/ ( A. z z = y \/ A. z ( x = y -> A. z x = y ) ) )

Syntax hints:   -> wi 4   \/ wo 720   A.wal 1400

This theorem was proved from axioms:  ax-i12 1560

This theorem is referenced by:  ax12  1565  hbequid  1566  hbae  1770  equvini  1811  equveli  1812  dveeq2  1868  dveeq2or  1869  dvelimALT  2070  dvelimfv  2071