Theorem ntheq1d ≪ | index | src | ≫ 

theorem ntheq1d (_G: wff) (_n1 _n2 l: nat):
  $ _G -> _n1 = _n2 $ >
  $ _G -> nth _n1 l = nth _n2 l $;
StepHypRefExpression
1 hyp _h 
_G -> _n1 = _n2
2 eqidd 
_G -> l = l
3 1, 2 ntheqd 
_G -> nth _n1 l = nth _n2 l

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)