Theorem receq1 ≪ | index | src | ≫

theorem receq1 (_z1 _z2: nat) (S: set) (n: nat):
  $ _z1 = _z2 -> rec _z1 S n = rec _z2 S n $;

Step	Hyp	Ref	Expression
1		id	_z1 = _z2 -> _z1 = _z2
2	1	receq1d	_z1 = _z2 -> rec _z1 S n = rec _z2 S n

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)