Theorem sappeq1 ≪ | index | src | ≫

theorem sappeq1 (_F1 _F2: set) (x: nat): $ _F1 == _F2 -> _F1 @@ x == _F2 @@ x $;

Step	Hyp	Ref	Expression
1		id	_F1 == _F2 -> _F1 == _F2
2	1	sappeq1d	_F1 == _F2 -> _F1 @@ x == _F2 @@ x

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), axs_the (theid, the0), axs_peano (peano2, addeq, muleq)