Theorem b1neb0 ≪ | index | src | ≫

theorem b1neb0 (a b: nat): $ b1 a != b0 b $;

Step	Hyp	Ref	Expression
1		b1odd	odd (b1 a)
2		oddeq	b1 a = b0 b -> (odd (b1 a) <-> odd (b0 b))
3	1, 2	mpbii	b1 a = b0 b -> odd (b0 b)
4		b0odd	~odd (b0 b)
5	3, 4	mt	~b1 a = b0 b
6	5	conv ne	b1 a != 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)