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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       *)
+(***********************************************************************)
+
+(*i $Id$ i*)
+
+(** These are the notations whose level and associativity is imposed by Coq *)
+
+(** Notations for logical connectives *)
+
+Uninterpreted Notation "x <-> y" (at level 8, right associativity)
+  V8only (at level 95, no associativity).
+Uninterpreted Notation "x /\ y" (at level 6, right associativity) 
+  V8only (at level 80, right associativity).
+Uninterpreted Notation "x \/ y" (at level 7, right associativity)
+  V8only (at level 85, right associativity).
+Uninterpreted Notation "~ x" (at level 5, right associativity)
+  V8only (at level 75, right associativity).
+
+(** Notations for equality and inequalities *)
+
+Uninterpreted Notation "x = y  :> T" 
+  (at level 5, y at next level, no associativity).
+Uninterpreted Notation "x = y"
+  (at level 5, no associativity).
+Uninterpreted Notation "x = y = z"
+  (at level 5, no associativity, y at next level).
+
+Uninterpreted Notation "x <> y  :> T" 
+  (at level 5, y at next level, no associativity).
+Uninterpreted Notation "x <> y"
+  (at level 5, no associativity).
+
+Uninterpreted V8Notation "x <= y" (at level 70, no associativity).
+Uninterpreted V8Notation "x < y" (at level 70, no associativity).
+Uninterpreted V8Notation "x >= y" (at level 70, no associativity).
+Uninterpreted V8Notation "x > y" (at level 70, no associativity).
+
+Uninterpreted V8Notation "x <= y <= z" (at level 70, y at next level).
+Uninterpreted V8Notation "x <= y < z"  (at level 70, y at next level).
+Uninterpreted V8Notation "x < y < z"   (at level 70, y at next level).
+Uninterpreted V8Notation "x < y <= z"  (at level 70, y at next level).
+
+(** Arithmetical notations (also used for type constructors) *)
+
+Uninterpreted Notation "x + y" (at level 4, left associativity).
+Uninterpreted V8Notation "x - y" (at level 50, left associativity).
+Uninterpreted Notation "x * y" (at level 3, right associativity)
+  V8only (at level 40, left associativity).
+Uninterpreted V8Notation "x / y" (at level 40, left associativity).
+Uninterpreted V8Notation "- x" (at level 35, right associativity).
+Uninterpreted V8Notation "/ x" (at level 35, right associativity).
+Uninterpreted V8Notation "x ^ y" (at level 30, left associativity).
+
+(** Notations for pairs *)
+
+Uninterpreted Notation "( x , y )" (at level 0)
+  V8only "x , y" (at level 250, left associativity).
+
+(** Notations for sum-types *)
+
+(* Home-made factorization at level 4 to parse B+{x:A|P} without parentheses *)
+
+Uninterpreted Notation "B + { x : A | P }"
+  (at level 4, left associativity, only parsing)
+  V8only (at level 50, x at level 99, left associativity, only parsing).
+
+Uninterpreted Notation "B + { x : A | P & Q }"
+  (at level 4, left associativity, only parsing)
+  V8only (at level 50, x at level 99, left associativity, only parsing).
+
+Uninterpreted Notation "B + { x : A & P }"
+  (at level 4, left associativity, only parsing)
+  V8only (at level 50, x at level 99, left associativity, only parsing).
+
+Uninterpreted Notation "B + { x : A & P & Q }"
+  (at level 4, left associativity, only parsing)
+  V8only (at level 50, x at level 99, left associativity, only parsing).
+
+(* At level 1 to factor with {x:A|P} etc *)
+
+Uninterpreted Notation "{ A }  + { B }" (at level 1)
+  V8only (at level 0, A at level 99).
+
+Uninterpreted Notation "A + { B }" (at level 4, left associativity)
+  V8only (at level 50, B at level 99, left associativity).
+
+(** Notations for sigma-types or subsets *)
+
+Uninterpreted Notation "{ x : A  |  P }" (at level 1)
+  V8only (at level 0, x at level 99).
+Uninterpreted Notation "{ x : A  |  P  &  Q }" (at level 1)
+  V8only (at level 0, x at level 99).
+
+Uninterpreted Notation "{ x : A  &  P }" (at level 1)
+  V8only (at level 0, x at level 99).
+Uninterpreted Notation "{ x : A  &  P  &  Q }" (at level 1)
+  V8only (at level 0, x at level 99).
+
+Delimits Scope type_scope with type.
+Delimits Scope core_scope with core.
+
+Open Scope core_scope.
+Open Scope type_scope.