Theorem elb00 ≪ | index | src | ≫

theorem elb00 (b: nat): $ ~0 e. b0 b $;

Step	Hyp	Ref	Expression
1		elb0	0 e. b0 b <-> 0 < 0 /\ 0 - 1 e. b
2		anl	0 < 0 /\ 0 - 1 e. b -> 0 < 0
3	1, 2	sylbi	0 e. b0 b -> 0 < 0
4		ltirr	~0 < 0
5	3, 4	mt	~0 e. b0 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_set (elab, ax_8), axs_the (theid, the0), axs_peano (peano1, peano2, peano5, addeq, muleq, add0, addS, mul0, mulS)