Theorem appendeq1d ≪ | index | src | ≫

theorem appendeq1d (_G: wff) (_l11 _l12 l2: nat):
  $ _G -> _l11 = _l12 $ >
  $ _G -> _l11 ++ l2 = _l12 ++ l2 $;

Step	Hyp	Ref	Expression
1		hyp _h	_G -> _l11 = _l12
2		eqidd	_G -> l2 = l2
3	1, 2	appendeqd	_G -> _l11 ++ l2 = _l12 ++ l2

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)