Theorem ggen22 37044

Description: gen22 37043 without virtual deductions. (Contributed by Alan Sare, 25-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
ggen22.1	|- ( ph -> ( ps -> ch ) )

Assertion

Ref	Expression
ggen22	|- ( ph -> ( ps -> A. x A. y ch ) )

Distinct variable groups:   ph, x   ph, y   ps, x   ps, y

Allowed substitution hints:   ch( x, y)

Proof of Theorem ggen22

Step	Hyp	Ref	Expression
1		ggen22.1	. . 3 |- ( ph -> ( ps -> ch ) )
2	1	alrimdv 1785	. 2 |- ( ph -> ( ps -> A. y ch ) )
3	2	alrimdv 1785	1 |- ( ph -> ( ps -> A. x A. y ch ) )

Syntax hints:   -> wi 4   A.wal 1452

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1679  ax-4 1692  ax-5 1768

This theorem is referenced by: (None)