Theorem ax12or 1557

Description: Alias for ax-i12 1556, 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 1556	1 |- ( A. z z = x \/ ( A. z z = y \/ A. z ( x = y -> A. z x = y ) ) )

Syntax hints:   -> wi 4   \/ wo 716   A.wal 1396

This theorem was proved from axioms:  ax-i12 1556

This theorem is referenced by:  ax12  1561  hbequid  1562  hbae  1766  equvini  1806  equveli  1807  dveeq2  1863  dveeq2or  1864  dvelimALT  2063  dvelimfv  2064