Theorem mtbir | index | src |

theorem mtbir (a b: wff): $ b <-> a $ > $ ~a $ > $ ~b $;
StepHypRefExpression
1 bi1
(b <-> a) -> b -> a
2 hyp h1
b <-> a
3 1, 2 ax_mp
b -> a
4 hyp h2
~a
5 3, 4 mt
~b

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)