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(* GNU General Public License for more details.                       *)
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(* 02110-1301 USA                                                     *)
(* BIBLI *)
(* fichier de bibliotheque*)
Require Export Arith.
Require Export Omega.
Global Set Asymmetric Patterns.
Section SEPAR.
(* lorsque l'egalite est decidable sur un ensemble *)

Lemma case_ineq :
forall (E F : Set) (eq_E_dec : eq_dec E) (x x' : E) (y z : F),
x <> x' -> match eq_E_dec x x' with
| left _ => y
| right _ => z
end = z.