Theorem imim1d | index | src |

theorem imim1d (a b c d: wff): $ a -> b -> c $ > $ a -> (c -> d) -> b -> d $;
StepHypRefExpression
1 imim1
(b -> c) -> (c -> d) -> b -> d
2 hyp h
a -> b -> c
3 1, 2 syl
a -> (c -> d) -> b -> d

Axiom use

axs_prop_calc (ax_1, ax_2, ax_mp)