Theorem Ifeq3 | index | src |

theorem Ifeq3 (p: wff) (A _B1 _B2: set):
  $ _B1 == _B2 -> If p A _B1 == If p A _B2 $;
StepHypRefExpression
1 id
_B1 == _B2 -> _B1 == _B2
2 1 Ifeq3d
_B1 == _B2 -> If p A _B1 == If p A _B2

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)