Theorem ltmin | index | src |

theorem ltmin (a b c: nat): $ a < min b c <-> a < b /\ a < c $;
StepHypRefExpression
1 lemin
suc a <= min b c <-> suc a <= b /\ suc a <= c
2 1 conv lt
a < min b c <-> a < b /\ a < c

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, add0, addS)