This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem 19.35ri

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

		Ref	Expression
	Hypothesis	19.35ri.1	$⊢ \forall x φ \to \exists x ψ$
	Assertion	19.35ri	$⊢ \exists x (φ \to ψ)$

Step	Hyp	Ref	Expression
1		19.35ri.1	$⊢ \forall x φ \to \exists x ψ$
2		19.35	$⊢ \exists x (φ \to ψ) \leftrightarrow (\forall x φ \to \exists x ψ)$
3	1 2	mpbir	$⊢ \exists x (φ \to ψ)$