Theorem anim1a | index | src |

theorem anim1a (a b c: wff): $ (a -> b -> c) -> b /\ a -> c /\ a $;
StepHypRefExpression
1 ancom
a /\ c -> c /\ a
2 ancom
b /\ a -> a /\ b
3 anim2a
(a -> b -> c) -> a /\ b -> a /\ c
4 2, 3 syl5
(a -> b -> c) -> b /\ a -> a /\ c
5 1, 4 syl6
(a -> b -> c) -> b /\ a -> c /\ a

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)