Theorem ss2abdvOLD

Description: Obsolete version of ss2abdv as of 28-Jun-2024. (Contributed by NM, 29-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	ss2abdvOLD.1	|- ( ph -> ( ps -> ch ) )
Assertion	ss2abdvOLD	|- ( ph -> { x | ps } C_ { x | ch } )

Proof

Step	Hyp	Ref	Expression
1		ss2abdvOLD.1	|- ( ph -> ( ps -> ch ) )
2	1	alrimiv	|- ( ph -> A. x ( ps -> ch ) )
3		ss2ab	|- ( { x | ps } C_ { x | ch } <-> A. x ( ps -> ch ) )
4	2 3	sylibr	|- ( ph -> { x | ps } C_ { x | ch } )