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	|- ( ph -> ps )
Assertion	imim2i	|- ( ( ch -> ph ) -> ( ch -> ps ) )

Proof

Step	Hyp	Ref	Expression
1		imim2i.1	|- ( ph -> ps )
2	1	a1i	|- ( ch -> ( ph -> ps ) )
3	2	a2i	|- ( ( ch -> ph ) -> ( ch -> ps ) )