Theorem ltb0tr ≪ | index | src | ≫

theorem ltb0tr (a b: nat): $ a < b $ > $ a < b0 b $;

Step	Hyp	Ref	Expression
1		ltletr	a < b -> b <= b0 b -> a < b0 b
2		hyp h	a < b
3	1, 2	ax_mp	b <= b0 b -> a < b0 b
4		b0leid	b <= b0 b
5	3, 4	ax_mp	a < b0 b

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)