Theorem eqler | index | src |

theorem eqler (a b: nat): $ a = b -> b <= a $;
StepHypRefExpression
1 eqle
b = a -> b <= a
2 eqcom
a = b -> b = a
3 1, 2 syl
a = b -> b <= a

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_12), axs_peano (addeq, add0)