Theorem imim2i

Description: Inference adding common antecedents in an implication. Inference associated with imim2 . Its associated inference is syl . (Contributed by NM, 28-Dec-1992)

	Ref	Expression
Hypothesis	imim2i.1	⊢ ( 𝜑 → 𝜓 )
Assertion	imim2i	⊢ ( ( 𝜒 → 𝜑 ) → ( 𝜒 → 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		imim2i.1	⊢ ( 𝜑 → 𝜓 )
2	1	a1i	⊢ ( 𝜒 → ( 𝜑 → 𝜓 ) )
3	2	a2i	⊢ ( ( 𝜒 → 𝜑 ) → ( 𝜒 → 𝜓 ) )