Theorem eqmeq3 ≪ | index | src | ≫

theorem eqmeq3 (n a _b1 _b2: nat):
  $ _b1 = _b2 -> (mod(n): a = _b1 <-> mod(n): a = _b2) $;

Step	Hyp	Ref	Expression
1		id	_b1 = _b2 -> _b1 = _b2
2	1	eqmeq3d	_b1 = _b2 -> (mod(n): a = _b1 <-> mod(n): a = _b2)

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)