Theorem imp_for_imp_right_reverse_intro ≪ | index | src | ≫

→对→右逆引入

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

Step	Hyp	Ref	Expression
1		imp_for_imp_left_permute	((B \imp C) \imp (A \imp B) \imp A \imp C) \imp (A \imp B) \imp (B \imp C) \imp A \imp C
2		imp_for_imp_left_intro	(B \imp C) \imp (A \imp B) \imp A \imp C
3	1, 2	mp	(A \imp B) \imp (B \imp C) \imp A \imp C

Axiom use

ZFC (ax_mp, ax_p1, ax_p2)