Theorem all2eq ≪ | index | src | ≫

theorem all2eq (_R1 _R2: set): $ _R1 == _R2 -> all2 _R1 == all2 _R2 $;

Step	Hyp	Ref	Expression
1		id	_R1 == _R2 -> _R1 == _R2
2	1	all2eqd	_R1 == _R2 -> all2 _R1 == all2 _R2

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)