Theorem sbcieg

Description: Conversion of implicit substitution to explicit class substitution. (Contributed by NM, 10-Nov-2005)

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

Proof

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