Theorem elneq2 | index | src |

theorem elneq2 (a b c: nat): $ b = c -> (a e. b <-> a e. c) $;
StepHypRefExpression
1 id
b = c -> b = c
2 1 elneq2d
b = c -> (a e. b <-> a e. 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 (peano2, addeq, muleq)