Theorem sbciegOLD

Description: Obsolete version of sbcieg as of 12-Oct-2024. (Contributed by NM, 10-Nov-2005) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	sbciegOLD.1	|- ( x = A -> ( ph <-> ps ) )
Assertion	sbciegOLD	|- ( A e. V -> ( [. A / x ]. ph <-> ps ) )

Proof

Step	Hyp	Ref	Expression
1		sbciegOLD.1	|- ( x = A -> ( ph <-> ps ) )
2		nfv	|- F/ x ps
3	2 1	sbciegf	|- ( A e. V -> ( [. A / x ]. ph <-> ps ) )