Theorem cbvlams ≪ | index | src | ≫

theorem cbvlams {x y: nat} (a: nat x): $ \ x, a == \ y, N[y / x] a $;

Step	Hyp	Ref	Expression
1		nfnv	FN/ y a
2		nfsbn1	FN/ x N[y / x] a
3		sbnq	x = y -> a = N[y / x] a
4	1, 2, 3	cbvlamh	\ x, a == \ y, N[y / x] 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)