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(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(* The "?" of cons and eq should be inferred *)
Variable list:Set -> Set.
Variable cons:(T:Set) T -> (list T) -> (list T).
Goal (n:(list nat)) (EX l| (EX x| (n = (cons ? x l)))).
(* Examples provided by Eduardo Gimenez *)
Definition c [A,P] := [p:nat*A]let (i,v) = p in (P i v).
Require PolyList.
Definition list_forall_bool [A:Set][p:A->bool][l:(list A)] : bool :=
(fold_right ([a][r]if (p a) then r else false) true l).
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