Theorem le01 ≪ | index | src | ≫

theorem le01 (a: nat): $ 0 <= a $;

Step	Hyp	Ref	Expression
1		leeq2	a + 0 = a -> (0 <= a + 0 <-> 0 <= a)
2		add0	a + 0 = a
3	1, 2	ax_mp	0 <= a + 0 <-> 0 <= a
4		leaddid2	0 <= a + 0
5	3, 4	mpbi	0 <= 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 (peano2, peano5, addeq, add0, addS)