Theorem ltle | index | src |

theorem ltle (a b: nat): $ a < b -> a <= b $;
StepHypRefExpression
1 lesucid
a <= suc a
2 1 a1i
a < b -> a <= suc a
3 id
a < b -> a < b
4 3 conv lt
a < b -> suc a <= b
5 2, 4 letrd
a < b -> a <= b

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_peano (peano2, peano5, addeq, add0, addS)