Theorem ggen22

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

	Ref	Expression
Hypothesis	ggen22.1	|- ( ph -> ( ps -> ch ) )
Assertion	ggen22	|- ( ph -> ( ps -> A. x A. y ch ) )

Proof

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