Theorem resisf ≪ | index | src | ≫

theorem resisf (A F: set): $ isfun F -> isfun (F |` A) $;

Step	Hyp	Ref	Expression
1		isfss	F \|` A C_ F -> isfun F -> isfun (F \|` A)
2		resss	F \|` A C_ F
3	1, 2	ax_mp	isfun F -> isfun (F \|` 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), axs_the (theid, the0), axs_peano (peano2, addeq, muleq)