Theorem leastel | index | src |

theorem leastel (A: set) (a: nat): $ a e. A -> least A e. A $;
StepHypRefExpression
1 leastlem
a e. A -> least A e. A /\ A. x (x e. A -> least A <= x)
2 1 anld
a e. A -> least A e. 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 (peano1, peano2, peano5, addeq, add0, addS)