From 2ab6644dd2dff227ac1bf335df7ff0d244ebe8dc Mon Sep 17 00:00:00 2001
From: Enrico Tassi <enrico.tassi@inria.fr>
Date: Mon, 12 Nov 2007 15:22:59 +0000
Subject: [PATCH] new file with some relations stated in Type

---
 .../constructive_higher_order_relations.ma    | 31 +++++++++++++++++++
 1 file changed, 31 insertions(+)
 create mode 100644 helm/software/matita/dama/constructive_higher_order_relations.ma

diff --git a/helm/software/matita/dama/constructive_higher_order_relations.ma b/helm/software/matita/dama/constructive_higher_order_relations.ma
new file mode 100644
index 000000000..b66ba6843
--- /dev/null
+++ b/helm/software/matita/dama/constructive_higher_order_relations.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/constructive_higher_order_relations".
+
+include "constructive_connectives.ma".
+
+definition cotransitive ≝
+ λC:Type.λlt:C→C→Type.∀x,y,z:C. lt x y → lt x z ∨ lt z y. 
+
+definition coreflexive ≝ λC:Type.λlt:C→C→Type. ∀x:C. ¬ (lt x x).
+
+definition antisymmetric ≝
+ λC:Type.λle:C→C→Type.λeq:C→C→Type.∀x,y:C.le x y → le y x → eq x y.
+
+definition symmetric ≝
+ λC:Type.λle:C→C→Type.∀x,y:C.le x y → le y x.
+
+definition transitive ≝
+ λC:Type.λle:C→C→Type.∀x,y,z:C.le x y → le y z → le x z.
-- 
2.39.2