Theorem imp | index | src |

theorem imp (a b c: wff): $ a -> b -> c $ > $ a /\ b -> c $;
StepHypRefExpression
1 hyp h
a -> b -> c
2 anl
a /\ b -> a
3 anr
a /\ b -> b
4 1, 2, 3 sylc
a /\ b -> c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)