Theorem mpbird | index | src |

theorem mpbird (a b c: wff): $ a -> (c <-> b) $ > $ a -> b $ > $ a -> c $;
StepHypRefExpression
1 hyp h2
a -> b
2 hyp h1
a -> (c <-> b)
3 2 bi2d
a -> b -> c
4 1, 3 mpd
a -> c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)