Theorem lesucid ≪ | index | src | ≫

theorem lesucid (a: nat): $ a <= suc a $;

Step	Hyp	Ref	Expression
1		leeq2	a + 1 = suc a -> (a <= a + 1 <-> a <= suc a)
2		add12	a + 1 = suc a
3	1, 2	ax_mp	a <= a + 1 <-> a <= suc a
4		leaddid1	a <= a + 1
5	3, 4	mpbi	a <= suc a

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_12), axs_peano (peano2, addeq, add0, addS)