Theorem mtbird | index | src |

theorem mtbird (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 bi1d
a -> c -> b
4 1, 3 mtd
a -> ~c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)