Theorem 2alimdv 1623

Description: Deduction from Theorem 19.22 of [Margaris] p. 90. (Contributed by NM, 27-Apr-2004.)

Hypothesis

Ref	Expression
2alimdv.1	|- (ph -> (ps -> ch))

Assertion

Ref	Expression
2alimdv	|- (ph -> (A.xA.yps -> A.xA.ych))

Distinct variable groups:   ph,x   ph,y

Allowed substitution hints:   ps(x,y)   ch(x,y)

Proof of Theorem 2alimdv

Step	Hyp	Ref	Expression
1		2alimdv.1	. . 3 |- (ph -> (ps -> ch))
2	1	alimdv 1621	. 2 |- (ph -> (A.yps -> A.ych))
3	2	alimdv 1621	1 |- (ph -> (A.xA.yps -> A.xA.ych))

Syntax hints:   -> wi 4  A.wal 1540

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616

This theorem is referenced by: (None)