Theorem leorle ≪ | index | src | ≫

theorem leorle (a b: nat): $ a <= b \/ b <= a $;

Step	Hyp	Ref	Expression
1		ltle	b < a -> b <= a
2		leorlt	a <= b \/ b < a
3	2	conv or	~a <= b -> b < a
4	1, 3	syl	~a <= b -> b <= a
5	4	conv or	a <= b \/ b <= a

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 (peano1, peano2, peano5, addeq, add0, addS)