Theorem subid | index | src |

theorem subid (a: nat): $ a - a = 0 $;
StepHypRefExpression
1 eqsub1
0 + a = a -> a - a = 0
2 add01
0 + a = a
3 1, 2 ax_mp
a - a = 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), axs_peano (peano2, peano5, addeq, add0, addS)