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
H_y0) in (eq_ind_r T t1 (\lambda (t: T).(eq T t1 t)) (refl_equal T t1) t2
H_y0))))))))) H2))))))).
-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