Theorem coprimeeq1 ≪ | index | src | ≫

theorem coprimeeq1 (_a1 _a2 b: nat):
  $ _a1 = _a2 -> (coprime _a1 b <-> coprime _a2 b) $;

Step	Hyp	Ref	Expression
1		id	_a1 = _a2 -> _a1 = _a2
2	1	coprimeeq1d	_a1 = _a2 -> (coprime _a1 b <-> coprime _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 (muleq)