include "basic_1/csubc/csuba.ma".
-theorem csubc_arity_conf:
+lemma csubc_arity_conf:
\forall (g: G).(\forall (c1: C).(\forall (c2: C).((csubc g c1 c2) \to
(\forall (t: T).(\forall (a: A).((arity g c1 t a) \to (arity g c2 t a)))))))
\def
c2)).(\lambda (t: T).(\lambda (a: A).(\lambda (H0: (arity g c1 t
a)).(csuba_arity g c1 t a H0 c2 (csubc_csuba g c1 c2 H)))))))).
-theorem csubc_arity_trans:
+lemma csubc_arity_trans:
\forall (g: G).(\forall (c1: C).(\forall (c2: C).((csubc g c1 c2) \to
((csubv c1 c2) \to (\forall (t: T).(\forall (a: A).((arity g c2 t a) \to
(arity g c1 t a))))))))