Theorem zipeq2d ≪ | index | src | ≫ 

theorem zipeq2d (_G: wff) (l1 _l21 _l22: nat):
  $ _G -> _l21 = _l22 $ >
  $ _G -> zip l1 _l21 = zip l1 _l22 $;
StepHypRefExpression
1 eqidd 
_G -> l1 = l1
2 hyp _h 
_G -> _l21 = _l22
3 1, 2 zipeqd 
_G -> zip l1 _l21 = zip l1 _l22

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)