Theorem nfrapp ≪ | index | src | ≫

theorem nfrapp {x: nat} (F: set x) (a: nat x):
  $ FS/ x F $ >
  $ FN/ x a $ >
  $ FS/ x F @' a $;

Step	Hyp	Ref	Expression
1		hyp h2	FN/ x a
2		nfnv	FN/ x a1
3	1, 2	nfpr	FN/ x a, a1
4		hyp h1	FS/ x F
5	3, 4	nfel	F/ x a, a1 e. F
6	5	nfab	FS/ x {a1 \| a, a1 e. F}
7	6	conv rapp	FS/ x 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)