Theorem _hyp_mp | index | src |

带假设的mp规则(不可直接引用)

theorem _hyp_mp (A B G: wff): $ G \imp A \imp B $ > $ G \imp A $ > $ G \imp B $;
StepHypRefExpression
1 mp_with_ant_thm
(G \imp A \imp B) \imp (G \imp A) \imp G \imp B
2 hyp h1
G \imp A \imp B
3 1, 2 ax_mp
(G \imp A) \imp G \imp B
4 hyp h2
G \imp A
5 3, 4 ax_mp
G \imp B

Axiom use

Logic (ax_mp, ax_2)