Theorem eqmeq2 ≪ | index | src | ≫

theorem eqmeq2 (n _a1 _a2 b: nat):
  $ _a1 = _a2 -> (mod(n): _a1 = b <-> mod(n): _a2 = b) $;

Step	Hyp	Ref	Expression
1		id	_a1 = _a2 -> _a1 = _a2
2	1	eqmeq2d	_a1 = _a2 -> (mod(n): _a1 = b <-> mod(n): _a2 = 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)