Theorem ltb1tr ≪ | index | src | ≫

theorem ltb1tr (a b: nat): $ a <= b $ > $ a < b1 b $;

Step	Hyp	Ref	Expression
1		lelttr	a <= b -> b < b1 b -> a < b1 b
2		hyp h	a <= b
3	1, 2	ax_mp	b < b1 b -> a < b1 b
4		b1ltid	b < b1 b
5	3, 4	ax_mp	a < b1 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)