Theorem znsubeq2 ≪ | index | src | ≫

theorem znsubeq2 (m _n1 _n2: nat): $ _n1 = _n2 -> m -ZN _n1 = m -ZN _n2 $;

Step	Hyp	Ref	Expression
1		id	_n1 = _n2 -> _n1 = _n2
2	1	znsubeq2d	_n1 = _n2 -> m -ZN _n1 = m -ZN _n2

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)