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diff --git a/tactics/declareScheme.ml b/tactics/declareScheme.ml
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+(************************************************************************)
+(*         *   The Coq Proof Assistant / The Coq Development Team       *)
+(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2019       *)
+(* <O___,, *       (see CREDITS file for the list of authors)           *)
+(*   \VV/  **************************************************************)
+(*    //   *    This file is distributed under the terms of the         *)
+(*         *     GNU Lesser General Public License Version 2.1          *)
+(*         *     (see LICENSE file for the text of the license)         *)
+(************************************************************************)
+
+open Names
+
+let scheme_map = Summary.ref Indmap.empty ~name:"Schemes"
+
+let cache_one_scheme kind (ind,const) =
+  let map = try Indmap.find ind !scheme_map with Not_found -> CString.Map.empty in
+  scheme_map := Indmap.add ind (CString.Map.add kind const map) !scheme_map
+
+let cache_scheme (_,(kind,l)) =
+  Array.iter (cache_one_scheme kind) l
+
+let subst_one_scheme subst (ind,const) =
+  (* Remark: const is a def: the result of substitution is a constant *)
+  (Mod_subst.subst_ind subst ind, Mod_subst.subst_constant subst const)
+
+let subst_scheme (subst,(kind,l)) =
+  (kind, CArray.Smart.map (subst_one_scheme subst) l)
+
+let discharge_scheme (_,(kind,l)) =
+  Some (kind, l)
+
+let inScheme : string * (inductive * Constant.t) array -> Libobject.obj =
+  let open Libobject in
+  declare_object @@ superglobal_object "SCHEME"
+    ~cache:cache_scheme
+    ~subst:(Some subst_scheme)
+    ~discharge:discharge_scheme
+
+let declare_scheme kind indcl =
+  Lib.add_anonymous_leaf (inScheme (kind,indcl))
+
+let lookup_scheme kind ind = CString.Map.find kind (Indmap.find ind !scheme_map)