Theorem rexlimiva

Description: Inference from Theorem 19.23 of Margaris p. 90 (restricted quantifier version). (Contributed by NM, 18-Dec-2006)

	Ref	Expression
Hypothesis	rexlimiva.1	|- ( ( x e. A /\ ph ) -> ps )
Assertion	rexlimiva	|- ( E. x e. A ph -> ps )

Proof

Step	Hyp	Ref	Expression
1		rexlimiva.1	|- ( ( x e. A /\ ph ) -> ps )
2	1	ex	|- ( x e. A -> ( ph -> ps ) )
3	2	rexlimiv	|- ( E. x e. A ph -> ps )