Theorem lttri ≪ | index | src | ≫

theorem lttri (a b c: nat): $ a < b $ > $ b < c $ > $ a < c $;

Step	Hyp	Ref	Expression
1		lttr	a < b -> b < c -> a < c
2		hyp h1	a < b
3	1, 2	ax_mp	b < c -> a < c
4		hyp h2	b < c
5	3, 4	ax_mp	a < c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp, itru), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_10, ax_11, ax_12), axs_peano (peano2, peano5, addeq, add0, addS)