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theorem ineq2 (A _B1 _B2: set): $ _B1 == _B2 -> A i^i _B1 == A i^i _B2 $;

Step	Hyp	Ref	Expression
1		id	_B1 == _B2 -> _B1 == _B2
2	1	ineq2d	_B1 == _B2 -> A i^i _B1 == A i^i _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)