Theorem 19.35i

Description: Inference associated with 19.35 . (Contributed by NM, 21-Jun-1993)

	Ref	Expression
Hypothesis	19.35i.1	$$⊢\exists x\left(\phi \to \psi \right)$$
Assertion	19.35i	$$⊢\forall x\phi \to \exists x\psi$$

Proof

Step	Hyp	Ref	Expression
1		19.35i.1	$$⊢\exists x\left(\phi \to \psi \right)$$
2		19.35	$$⊢\exists x\left(\phi \to \psi \right)\leftrightarrow \left(\forall x\phi \to \exists x\psi \right)$$
3	1 2	mpbi	$$⊢\forall x\phi \to \exists x\psi$$