Theorem imorri

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

	Ref	Expression
Hypothesis	imorri.1	⊢ ( ¬ 𝜑 ∨ 𝜓 )
Assertion	imorri	⊢ ( 𝜑 → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		imorri.1	⊢ ( ¬ 𝜑 ∨ 𝜓 )
2		imor	⊢ ( ( 𝜑 → 𝜓 ) ↔ ( ¬ 𝜑 ∨ 𝜓 ) )
3	1 2	mpbir	⊢ ( 𝜑 → 𝜓 )