Theorem 19.35ri

Description: Inference associated with 19.35 . (Contributed by NM, 12-Mar-1993)

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

Proof

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