Theorem anrotri ≪ | index | src | ≫

theorem anrotri (a b c d: wff): $ b /\ d -> a $ > $ b /\ c /\ d -> a /\ c $;

Step	Hyp	Ref	Expression
1		anrass	b /\ c /\ d <-> b /\ d /\ c
2		anim1	(b /\ d -> a) -> b /\ d /\ c -> a /\ c
3		hyp h	b /\ d -> a
4	2, 3	ax_mp	b /\ d /\ c -> a /\ c
5	1, 4	sylbi	b /\ c /\ d -> a /\ c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)