Theorem resdm | index | src |

theorem resdm (F: set): $ F |` Dom F == F $;
StepHypRefExpression
1 eqres
Dom F C_ Dom F <-> F |` Dom F == F
2 ssid
Dom F C_ Dom F
3 1, 2 mpbi
F |` Dom F == F

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, muleq, add0, addS, mul0, mulS)