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Metamath Proof Explorer

Theorem imorri

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

		Ref	Expression
	Hypothesis	imorri.1	$⊢ (\neg φ \lor ψ)$
	Assertion	imorri	$⊢ φ \to ψ$

Step	Hyp	Ref	Expression
1		imorri.1	$⊢ (\neg φ \lor ψ)$
2		imor	$⊢ (φ \to ψ) \leftrightarrow (\neg φ \lor ψ)$
3	1 2	mpbir	$⊢ φ \to ψ$