Theorem sub02 | index | src |

theorem sub02 (a: nat): $ a - 0 = a $;
StepHypRefExpression
1 eqsub1
a + 0 = a -> a - 0 = a
2 add0
a + 0 = a
3 1, 2 ax_mp
a - 0 = a

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)