Theorem listfn0 | index | src |

theorem listfn0: $ listfn 0 = 0 $;
StepHypRefExpression
1 lrec0
lrec 0 (\\ a1, \\ a2, \ a3, \. a4 e. upto (suc (size (Dom a3))), if (a4 = 0) a1 (a3 @ (a4 - 1))) 0 = 0
2 1 conv listfn
listfn 0 = 0

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 (peano1, peano2, peano5, addeq, muleq, add0, addS, mul0, mulS)