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authorGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-11-03 08:24:09 +0000
committerGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-11-03 08:24:09 +0000
commit6b024fd58e28bba3f77b2ccd5dff1ece162067ef (patch)
tree7db797f09b1b19b6a840c984e8db304e9483ef1c /theories/Init
parent4f0ad99adb04e7f2888e75f2a10e8c916dde179b (diff)
Better visibility of the inductive CompSpec used to specify comparison functions
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Init')
-rw-r--r--theories/Init/Datatypes.v11
1 files changed, 11 insertions, 0 deletions
diff --git a/theories/Init/Datatypes.v b/theories/Init/Datatypes.v
index 75bf27702..78d0110ae 100644
--- a/theories/Init/Datatypes.v
+++ b/theories/Init/Datatypes.v
@@ -221,6 +221,17 @@ Proof.
split; intros; apply CompOpp_inj; rewrite CompOpp_involutive; auto.
Qed.
+(** The [CompSpec] inductive will be used to relate a [compare] function
+ (returning a comparison answer) and some equality and order predicates.
+ Interest: [CompSpec] behave nicely with [destruct]. *)
+
+Inductive CompSpec {A} (eq lt : A->A->Prop)(x y:A) : comparison -> Prop :=
+ | CompEq : eq x y -> CompSpec eq lt x y Eq
+ | CompLt : lt x y -> CompSpec eq lt x y Lt
+ | CompGt : lt y x -> CompSpec eq lt x y Gt.
+Hint Constructors CompSpec.
+
+
(** Identity *)
Definition ID := forall A:Type, A -> A.