Theorem imp_introlsr_and ≪ | index | src | ≫

\imp左右\and引入

theorem imp_introlsr_and (A B C: wff): $ (A \imp C) \imp A \and B \imp C $;

Step	Hyp	Ref	Expression
1		imp_introrevr_imp	(A \and B \imp A) \imp (A \imp C) \imp A \and B \imp C
2		and_splitl	A \and B \imp A
3	1, 2	ax_mp	(A \imp C) \imp A \and B \imp C

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3)