(* 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".
+
+include "basic_1/T/props.ma".
theorem csubv_bind_same:
\forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (b: B).(\forall
v2)))))))
\def
\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 *)
+B).(let TMP_5 \def (\lambda (b0: B).(\forall (v1: T).(\forall (v2: T).(let
+TMP_1 \def (Bind b0) in (let TMP_2 \def (CHead c1 TMP_1 v1) in (let TMP_3
+\def (Bind b0) in (let TMP_4 \def (CHead c2 TMP_3 v2) in (csubv TMP_2
+TMP_4)))))))) in (let TMP_6 \def (\lambda (v1: T).(\lambda (v2:
+T).(csubv_bind c1 c2 H Abbr not_abbr_void Abbr v1 v2))) in (let TMP_7 \def
+(\lambda (v1: T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst not_abst_void Abst
+v1 v2))) in (let TMP_8 \def (\lambda (v1: T).(\lambda (v2: T).(csubv_void c1
+c2 H v1 v2))) in (B_ind TMP_5 TMP_6 TMP_7 TMP_8 b)))))))).
theorem csubv_refl:
\forall (c: C).(csubv c c)
\def
- \lambda (c: C).(C_ind (\lambda (c0: C).(csubv c0 c0)) (\lambda (n:
-nat).(csubv_sort n)) (\lambda (c0: C).(\lambda (H: (csubv c0 c0)).(\lambda
-(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 *)
+ \lambda (c: C).(let TMP_1 \def (\lambda (c0: C).(csubv c0 c0)) in (let TMP_2
+\def (\lambda (n: nat).(csubv_sort n)) in (let TMP_8 \def (\lambda (c0:
+C).(\lambda (H: (csubv c0 c0)).(\lambda (k: K).(let TMP_5 \def (\lambda (k0:
+K).(\forall (t: T).(let TMP_3 \def (CHead c0 k0 t) in (let TMP_4 \def (CHead
+c0 k0 t) in (csubv TMP_3 TMP_4))))) in (let TMP_6 \def (\lambda (b:
+B).(\lambda (t: T).(csubv_bind_same c0 c0 H b t t))) in (let TMP_7 \def
+(\lambda (f: F).(\lambda (t: T).(csubv_flat c0 c0 H f f t t))) in (K_ind
+TMP_5 TMP_6 TMP_7 k))))))) in (C_ind TMP_1 TMP_2 TMP_8 c)))).