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-(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
-(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(************************************************************************)
-
-(* $Id: Field_Compl.v,v 1.2.2.1 2004/07/16 19:30:17 herbelin Exp $ *)
-
-Inductive listT [A:Type] : Type :=
- nilT : (listT A) | consT : A->(listT A)->(listT A).
-
-Fixpoint appT [A:Type][l:(listT A)] : (listT A) -> (listT A) :=
- [m:(listT A)]
- Cases l of
- | nilT => m
- | (consT a l1) => (consT A a (appT A l1 m))
- end.
-
-Inductive prodT [A,B:Type] : Type :=
- pairT: A->B->(prodT A B).
-
-Definition assoc_2nd :=
-Fix assoc_2nd_rec
- {assoc_2nd_rec
- [A:Type;B:Set;eq_dec:(e1,e2:B){e1=e2}+{~e1=e2};lst:(listT (prodT A B))]
- : B->A->A:=
- [key:B;default:A]
- Cases lst of
- | nilT => default
- | (consT (pairT v e) l) =>
- (Cases (eq_dec e key) of
- | (left _) => v
- | (right _) => (assoc_2nd_rec A B eq_dec l key default)
- end)
- end}.
-
-Definition fstT [A,B:Type;c:(prodT A B)] :=
- Cases c of
- | (pairT a _) => a
- end.
-
-Definition sndT [A,B:Type;c:(prodT A B)] :=
- Cases c of
- | (pairT _ a) => a
- end.
-
-Definition mem :=
-Fix mem {mem [A:Set;eq_dec:(e1,e2:A){e1=e2}+{~e1=e2};a:A;l:(listT A)] : bool :=
- Cases l of
- | nilT => false
- | (consT a1 l1) =>
- Cases (eq_dec a a1) of
- | (left _) => true
- | (right _) => (mem A eq_dec a l1)
- end
- end}.
-
-Inductive field_rel_option [A:Type] : Type :=
- | Field_None : (field_rel_option A)
- | Field_Some : (A -> A -> A) -> (field_rel_option A).