Theorem snoceq2d ≪ | index | src | ≫

theorem snoceq2d (_G: wff) (l _a1 _a2: nat):
  $ _G -> _a1 = _a2 $ >
  $ _G -> l |> _a1 = l |> _a2 $;

Step	Hyp	Ref	Expression
1		eqidd	_G -> l = l
2		hyp _h	_G -> _a1 = _a2
3	1, 2	snoceqd	_G -> l \|> _a1 = l \|> _a2

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)