Theorem inv2 | index | src |

theorem inv2 (A: set): $ A i^i _V == A $;
StepHypRefExpression
1 eqstr
A i^i _V == _V i^i A -> _V i^i A == A -> A i^i _V == A
2 incom
A i^i _V == _V i^i A
3 1, 2 ax_mp
_V i^i A == A -> A i^i _V == A
4 inv1
_V i^i A == A
5 3, 4 ax_mp
A i^i _V == A

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)