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(* 02110-1301 USA                                                     *)
(* Contribution to the Coq Library   V6.3 (July 1999)                    *)
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(*                 The Calculus of Inductive Constructions                  *)
(*                                                                          *)
(*                                Projet Coq                                *)
(*                                                                          *)
(*                     INRIA                        ENS-CNRS                *)
(*              Rocquencourt                        Lyon                    *)
(*                                                                          *)
(*                                Coq V5.10                                 *)
(*                              Nov 25th 1994                               *)
(*                                                                          *)
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(*                                 Words.v                                  *)
(****************************************************************************)
(*              Formal Language Theory                                      *)
(*                                                                          *)
(*              Judicael Courant - Jean-Christophe Filliatre                *)
(*                                                                          *)
(*              Developped in V5.8  June-July 1993                          *)
(*              Ported     to V5.10 October 1994                            *)
(****************************************************************************)
Parameter alph : Ensf.
Parameter epsilon : Elt.

Axiom not_dans_epsilon_alph : ~ dans epsilon alph.
Inductive inmonoid (X : Ensf) : Word -> Prop :=
| inmonoid_nil : inmonoid X nil
| inmonoid_cons :
forall (w : Word) (e : Elt),
inmonoid X w -> dans e X -> inmonoid X (cons e w).