(* This file was automatically generated: do not edit *********************)
-include "Basic-1/sn3/defs.ma".
+include "basic_1/sn3/fwd.ma".
-include "Basic-1/nf2/dec.ma".
+include "basic_1/nf2/dec.ma".
-include "Basic-1/nf2/pr3.ma".
+include "basic_1/nf2/pr3.ma".
-theorem sn3_nf2:
+lemma sn3_nf2:
\forall (c: C).(\forall (t: T).((nf2 c t) \to (sn3 c t)))
\def
\lambda (c: C).(\lambda (t: T).(\lambda (H: (nf2 c t)).(sn3_sing c t
in (let H3 \def (eq_ind_r T t2 (\lambda (t0: T).((eq T t t0) \to (\forall (P:
Prop).P))) H0 t H_y) in (eq_ind T t (\lambda (t0: T).(sn3 c t0)) (H3
(refl_equal T t) (sn3 c t)) t2 H_y)))))))))).
-(* COMMENTS
-Initial nodes: 129
-END *)
-theorem nf2_sn3:
+lemma nf2_sn3:
\forall (c: C).(\forall (t: T).((sn3 c t) \to (ex2 T (\lambda (u: T).(pr3 c
t u)) (\lambda (u: T).(nf2 c u)))))
\def
x0)).(\lambda (H8: (nf2 c x0)).(ex_intro2 T (\lambda (u: T).(pr3 c t1 u))
(\lambda (u: T).(nf2 c u)) x0 (pr3_sing c x t1 H5 x0 H7) H8)))) H6)))))) H3))
H2)))))) t H))).
-(* COMMENTS
-Initial nodes: 443
-END *)