Theorem imorri

Description: Infer implication from disjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011)

	Ref	Expression
Hypothesis	imorri.1	$$⊢\left(\neg \phi \vee \psi \right)$$
Assertion	imorri	$$⊢\phi \to \psi$$

Proof

Step	Hyp	Ref	Expression
1		imorri.1	$$⊢\left(\neg \phi \vee \psi \right)$$
2		imor	$$⊢\left(\phi \to \psi \right)\leftrightarrow \left(\neg \phi \vee \psi \right)$$
3	1 2	mpbir	$$⊢\phi \to \psi$$