Theorem uneq1 | index | src |

theorem uneq1 (_A1 _A2 B: set): $ _A1 == _A2 -> _A1 u. B == _A2 u. B $;
StepHypRefExpression
1 id
_A1 == _A2 -> _A1 == _A2
2 1 uneq1d
_A1 == _A2 -> _A1 u. B == _A2 u. B

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)