Theorem rexlimdvw

Description: Inference from Theorem 19.23 of Margaris p. 90 (restricted quantifier version). (Contributed by NM, 18-Jun-2014)

	Ref	Expression
Hypothesis	rexlimdvw.1	|- ( ph -> ( ps -> ch ) )
Assertion	rexlimdvw	|- ( ph -> ( E. x e. A ps -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		rexlimdvw.1	|- ( ph -> ( ps -> ch ) )
2	1	a1d	|- ( ph -> ( x e. A -> ( ps -> ch ) ) )
3	2	rexlimdv	|- ( ph -> ( E. x e. A ps -> ch ) )