Theorem rexlimivw

Description: Weaker version of rexlimiv . (Contributed by FL, 19-Sep-2011)

	Ref	Expression
Hypothesis	rexlimivw.1	$$⊢\phi \to \psi$$
Assertion	rexlimivw	$$⊢\exists x\in A\phi \to \psi$$

Proof

Step	Hyp	Ref	Expression
1		rexlimivw.1	$$⊢\phi \to \psi$$
2	1	a1i	$$⊢x\in A\to \left(\phi \to \psi \right)$$
3	2	rexlimiv	$$⊢\exists x\in A\phi \to \psi$$