Theorem lmemeq1 | index | src |

theorem lmemeq1 (_a1 _a2 l: nat): $ _a1 = _a2 -> (_a1 IN l <-> _a2 IN l) $;
StepHypRefExpression
1 id
_a1 = _a2 -> _a1 = _a2
2 1 lmemeq1d
_a1 = _a2 -> (_a1 IN l <-> _a2 IN l)

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 (peano2, addeq, muleq)