Theorem 19.37iv

Description: Inference associated with 19.37v . (Contributed by NM, 5-Aug-1993) Remove dependency on ax-6 . (Revised by Rohan Ridenour, 15-Apr-2022)

	Ref	Expression
Hypothesis	19.37iv.1	$$⊢\exists x\left(\phi \to \psi \right)$$
Assertion	19.37iv	$$⊢\phi \to \exists x\psi$$

Proof

Step	Hyp	Ref	Expression
1		19.37iv.1	$$⊢\exists x\left(\phi \to \psi \right)$$
2		19.37imv	$$⊢\exists x\left(\phi \to \psi \right)\to \left(\phi \to \exists x\psi \right)$$
3	1 2	ax-mp	$$⊢\phi \to \exists x\psi$$