(* This file was automatically generated: do not edit *********************)
-include "Basic-1/csubv/defs.ma".
+include "basic_1/csubv/defs.ma".
-include "Basic-1/T/props.ma".
+include "basic_1/C/fwd.ma".
-theorem csubv_bind_same:
+include "basic_1/T/props.ma".
+
+lemma csubv_bind_same:
\forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (b: B).(\forall
(v1: T).(\forall (v2: T).(csubv (CHead c1 (Bind b) v1) (CHead c2 (Bind b)
v2)))))))
\lambda (c1: C).(\lambda (c2: C).(\lambda (H: (csubv c1 c2)).(\lambda (b:
B).(B_ind (\lambda (b0: B).(\forall (v1: T).(\forall (v2: T).(csubv (CHead c1
(Bind b0) v1) (CHead c2 (Bind b0) v2))))) (\lambda (v1: T).(\lambda (v2:
-T).(csubv_bind c1 c2 H Abbr (\lambda (H0: (eq B Abbr Void)).(not_abbr_void
-H0)) Abbr v1 v2))) (\lambda (v1: T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst
-(sym_not_eq B Void Abst not_void_abst) Abst v1 v2))) (\lambda (v1:
-T).(\lambda (v2: T).(csubv_void c1 c2 H v1 v2))) b)))).
-(* COMMENTS
-Initial nodes: 121
-END *)
+T).(csubv_bind c1 c2 H Abbr not_abbr_void Abbr v1 v2))) (\lambda (v1:
+T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst not_abst_void Abst v1 v2)))
+(\lambda (v1: T).(\lambda (v2: T).(csubv_void c1 c2 H v1 v2))) b)))).
-theorem csubv_refl:
+lemma csubv_refl:
\forall (c: C).(csubv c c)
\def
\lambda (c: C).(C_ind (\lambda (c0: C).(csubv c0 c0)) (\lambda (n:
(k: K).(K_ind (\lambda (k0: K).(\forall (t: T).(csubv (CHead c0 k0 t) (CHead
c0 k0 t)))) (\lambda (b: B).(\lambda (t: T).(csubv_bind_same c0 c0 H b t t)))
(\lambda (f: F).(\lambda (t: T).(csubv_flat c0 c0 H f f t t))) k)))) c).
-(* COMMENTS
-Initial nodes: 93
-END *)