Theorem mp_hswap_thm | index | src |

MP公式调换形式

theorem mp_hswap_thm (A B: wff): $ A \imp (A \imp B) \imp B $;
StepHypRefExpression
1 imp_imp_swapl
((A \imp B) \imp A \imp B) \imp A \imp (A \imp B) \imp B
2 mp_thm
(A \imp B) \imp A \imp B
3 1, 2 ax_mp
A \imp (A \imp B) \imp B

Axiom use

Logic (ax_mp, ax_1, ax_2)