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(* as published by the Free Software Foundation; either version 2.1   *)
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(*                                                                    *)
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(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
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(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
(* definit une table a une ou deux dimensions puis la sommation sur la table *)
Require Export finite.
Unset Standard Proposition Elimination Names.
Section TABLE1.
(* une table a lements dans F indexee par E est une fonction de E dans F dans laquelle on ne modifie qu'un terme a la fois *)
Variable E F : Set.
Hypothesis eq_E_dec : eq_dec E.
Variable t : E -> F.
Variable x0 : E.
Variable y0 : F.
Definition change_x0 (x : E) :=
if eq_E_dec x0 x then y0 else t x.

Lemma here : change_x0 x0 = y0.