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diff --git a/helm/ocaml/cic_proof_checking/cicMiniReduction.ml b/helm/ocaml/cic_proof_checking/cicMiniReduction.ml
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+(* Copyright (C) 2000, HELM Team.
+ * 
+ * This file is part of HELM, an Hypertextual, Electronic
+ * Library of Mathematics, developed at the Computer Science
+ * Department, University of Bologna, Italy.
+ * 
+ * HELM is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ * 
+ * HELM is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with HELM; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA  02111-1307, USA.
+ * 
+ * For details, see the HELM World-Wide-Web page,
+ * http://cs.unibo.it/helm/.
+ *)
+
+(* $Id$ *)
+
+let rec letin_nf =
+ let module C = Cic in
+  function
+     C.Rel _ as t -> t
+   | C.Var (uri,exp_named_subst) ->
+      let exp_named_subst' =
+       List.map (function (uri,t) -> (uri,letin_nf t)) exp_named_subst
+      in
+       C.Var (uri,exp_named_subst')
+   | C.Meta _ as t -> t
+   | C.Sort _ as t -> t
+   | C.Implicit _ as t -> t
+   | C.Cast (te,ty) -> C.Cast (letin_nf te, letin_nf ty)
+   | C.Prod (n,s,t) -> C.Prod (n, letin_nf s, letin_nf t)
+   | C.Lambda (n,s,t) -> C.Lambda (n, letin_nf s, letin_nf t)
+   | C.LetIn (n,s,t) -> CicSubstitution.subst (letin_nf s) t
+   | C.Appl l -> C.Appl (List.map letin_nf l)
+   | C.Const (uri,exp_named_subst) ->
+      let exp_named_subst' =
+       List.map (function (uri,t) -> (uri,letin_nf t)) exp_named_subst
+      in
+       C.Const (uri,exp_named_subst')
+   | C.MutInd (uri,typeno,exp_named_subst) ->
+      let exp_named_subst' =
+       List.map (function (uri,t) -> (uri,letin_nf t)) exp_named_subst
+      in
+       C.MutInd (uri,typeno,exp_named_subst')
+   | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+      let exp_named_subst' =
+       List.map (function (uri,t) -> (uri,letin_nf t)) exp_named_subst
+      in
+       C.MutConstruct (uri,typeno,consno,exp_named_subst')
+   | C.MutCase (sp,i,outt,t,pl) ->
+      C.MutCase (sp,i,letin_nf outt, letin_nf t, List.map letin_nf pl)
+   | C.Fix (i,fl) ->
+      let substitutedfl =
+       List.map
+        (fun (name,i,ty,bo) -> (name, i, letin_nf ty, letin_nf bo))
+         fl
+      in
+       C.Fix (i, substitutedfl)
+   | C.CoFix (i,fl) ->
+      let substitutedfl =
+       List.map
+        (fun (name,ty,bo) -> (name, letin_nf ty, letin_nf bo))
+         fl
+      in
+       C.CoFix (i, substitutedfl)
+;;