Theorem neg_intro_with_imp ≪ | index | src | ≫

¬→引出

theorem neg_intro_with_imp (A B: wff): $ A \imp \neg A \imp B $;

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

Axiom use

ZFC (ax_mp, ax_p1, ax_p2, ax_p3)