Theorem imp_for_imp_right_left_intro | index | src |

→对→右左引入

theorem imp_for_imp_right_left_intro (A B C: wff):
  $ (A \imp B) \imp A \imp C \imp B $;
StepHypRefExpression
1 imp_for_imp_left_intro
(B \imp C \imp B) \imp (A \imp B) \imp A \imp C \imp B
2 imp_left_intro
B \imp C \imp B
3 1, 2 mp
(A \imp B) \imp A \imp C \imp B

Axiom use

ZFC (ax_mp, ax_p1, ax_p2)