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

Step	Hyp	Ref	Expression
1		orcom	b < a \/ a <= b -> a <= b \/ b < a
2		ltorle	b < a \/ a <= b
3	1, 2	ax_mp	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)