Theorem rexlimivaOLD

Description: Obsolete version of rexlimiva as of 23-Dec-2024. (Contributed by NM, 18-Dec-2006) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	rexlimivaOLD.1	$$⊢\left(x\in A\wedge \phi \right)\to \psi$$
Assertion	rexlimivaOLD	$$⊢\exists x\in A\phi \to \psi$$

Proof

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