Theorem el02 | index | src |

theorem el02 (a: nat): $ ~a e. 0 $;
StepHypRefExpression
1 ellt
a e. 0 -> a < 0
2 lt02
~a < 0
3 1, 2 mt
~a e. 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)