Theorem ltletr ≪ | index | src | ≫

theorem ltletr (a b c: nat): $ a < b -> b <= c -> a < c $;

Step	Hyp	Ref	Expression
1		letr	suc a <= b -> b <= c -> suc a <= c
2	1	conv lt	a < b -> b <= c -> 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)