Theorem nflam ≪ | index | src | ≫

theorem nflam {x y: nat} (a: nat x y): $ FN/ x a $ > $ FS/ x \ y, a $;

Step	Hyp	Ref	Expression
1		nfnv	FN/ x p
2		nfnv	FN/ x y
3		hyp h	FN/ x a
4	2, 3	nfpr	FN/ x y, a
5	1, 4	nf_eq	F/ x p = y, a
6	5	nfex	F/ x E. y p = y, a
7	6	nfab	FS/ x {p \| E. y p = y, a}
8	7	conv lam	FS/ x \ y, 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)