Theorem ceqsexgvOLD

Description: Obsolete version of ceqsexgv as of 1-Dec-2023. (Contributed by NM, 29-Dec-1996) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	ceqsexgv.1	|- ( x = A -> ( ph <-> ps ) )
Assertion	ceqsexgvOLD	|- ( A e. V -> ( E. x ( x = A /\ ph ) <-> ps ) )

Proof

Step	Hyp	Ref	Expression
1		ceqsexgv.1	|- ( x = A -> ( ph <-> ps ) )
2		nfv	|- F/ x ps
3	2 1	ceqsexg	|- ( A e. V -> ( E. x ( x = A /\ ph ) <-> ps ) )