Theorem nfin ≪ | index | src | ≫

theorem nfin {x: nat} (A B: set x):
  $ FS/ x A $ >
  $ FS/ x B $ >
  $ FS/ x A i^i B $;

Step	Hyp	Ref	Expression
1		hyp h1	FS/ x A
2	1	nfel2	F/ x y e. A
3		hyp h2	FS/ x B
4	3	nfel2	F/ x y e. B
5	2, 4	nfan	F/ x y e. A /\ y e. B
6	5	nfab	FS/ x {y \| y e. A /\ y e. B}
7	6	conv Inter	FS/ x 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)