Theorem exlimiiv

Description: Inference (Rule C) associated with exlimiv . (Contributed by BJ, 19-Dec-2020)

	Ref	Expression
Hypotheses	exlimiv.1	$$⊢\phi \to \psi$$
	exlimiiv.2	$$⊢\exists x\phi$$
Assertion	exlimiiv	$$⊢\psi$$

Proof

Step	Hyp	Ref	Expression
1		exlimiv.1	$$⊢\phi \to \psi$$
2		exlimiiv.2	$$⊢\exists x\phi$$
3	1	exlimiv	$$⊢\exists x\phi \to \psi$$
4	2 3	ax-mp	$$⊢\psi$$