(* This file was automatically generated: do not edit *********************)
-include "Basic-1/pc3/defs.ma".
+include "basic_1/pc3/defs.ma".
-include "Basic-1/nf2/pr3.ma".
+include "basic_1/nf2/pr3.ma".
-theorem pc3_nf2:
+lemma pc3_nf2:
\forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3 c t1 t2) \to ((nf2 c
t1) \to ((nf2 c t2) \to (eq T t1 t2))))))
\def
t2 t1 H5 H1) in (let H7 \def (eq_ind T t2 (\lambda (t: T).(pr3 c t t1)) H5 t1
H_y0) in (eq_ind_r T t1 (\lambda (t: T).(eq T t1 t)) (refl_equal T t1) t2
H_y0))))))))) H2))))))).
-(* COMMENTS
-Initial nodes: 195
-END *)
-theorem pc3_nf2_unfold:
+lemma pc3_nf2_unfold:
\forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3 c t1 t2) \to ((nf2 c
t2) \to (pr3 c t1 t2)))))
\def
T).(\lambda (H2: (pr3 c t1 x)).(\lambda (H3: (pr3 c t2 x)).(let H_y \def
(nf2_pr3_unfold c t2 x H3 H0) in (let H4 \def (eq_ind_r T x (\lambda (t:
T).(pr3 c t1 t)) H2 t2 H_y) in H4))))) H1)))))).
-(* COMMENTS
-Initial nodes: 109
-END *)