Theorem imp_introls_fo | index | src |

\imp左侧引入\fo

theorem imp_introls_fo {x: set} (A B: wff x):
  $ (A \imp B) \imp \fo x A \imp B $;
StepHypRefExpression
1 imp_introrevr_imp
(\fo x A \imp A) \imp (A \imp B) \imp \fo x A \imp B
2 fo_elim
\fo x A \imp A
3 1, 2 ax_mp
(A \imp B) \imp \fo x A \imp B

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3, ax_gen, ax_4, ax_5, ax_6, ax_7, ax_12)