Theorem eqeqm ≪ | index | src | ≫

theorem eqeqm (a b n: nat): $ a = b -> mod(n): a = b $;

Step	Hyp	Ref	Expression
1		eqmid	mod(n): a = a
2		eqmeq3	a = b -> (mod(n): a = a <-> mod(n): a = b)
3	1, 2	mpbii	a = b -> mod(n): a = 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 (peano2, addeq, muleq)