Theorem infin1 ≪ | index | src | ≫

theorem infin1 (A B: set): $ finite A -> finite (A i^i B) $;

Step	Hyp	Ref	Expression
1		finss	A i^i B C_ A -> finite A -> finite (A i^i B)
2		inss1	A i^i B C_ A
3	1, 2	ax_mp	finite A -> finite (A i^i B)

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)