Theorem 2ax17 1640

Description: Quantification of two variables over a formula in which they do not occur. (Contributed by Alan Sare, 12-Apr-2011.)

Assertion

Ref	Expression
2ax17	|- (ph -> A.xA.yph)

Distinct variable groups:   ph,x   ph,y

Proof of Theorem 2ax17

Step	Hyp	Ref	Expression
1		id 19	. 2 |- (ph -> ph)
2	1	alrimivv 1632	1 |- (ph -> A.xA.yph)

Syntax hints:   -> wi 4  A.wal 1540

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1546  ax-5 1557  ax-17 1616

This theorem is referenced by: (None)