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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 6, right associativity).
Uninterpreted Notation "x \/ y" (at level 7, right associativity).
Uninterpreted Notation "x <-> y" (at level 8, right associativity).
Uninterpreted Notation "~ x" (at level 5, right associativity)
V8only (at level 55, 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 :> T"
(at level 5, y at next level, no associativity).
Uninterpreted Notation "x <> y"
(at level 5, no associativity).
Uninterpreted Notation "x <= y" (at level 5, no associativity).
Uninterpreted Notation "x < y" (at level 5, no associativity).
Uninterpreted Notation "x >= y" (at level 5, no associativity).
Uninterpreted Notation "x > y" (at level 5, no associativity).
(** Arithmetical notations (also used for type constructors) *)
Uninterpreted Notation "x * y" (at level 3, right associativity)
V8only (at level 30, left associativity).
Uninterpreted Notation "x / y" (at level 3, left associativity).
Uninterpreted Notation "x + y" (at level 4, left associativity).
Uninterpreted Notation "x - y" (at level 4, left associativity).
Uninterpreted Notation "- x" (at level 0) V8only (at level 40).
(** Notations for pairs *)
Uninterpreted Notation "( x , y )" (at level 0)
V8only "x , y" (at level 150, 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 40, x at level 80, left associativity, only parsing).
Uninterpreted Notation "B + { x : A | P & Q }"
(at level 4, left associativity, only parsing)
V8only (at level 40, x at level 80, left associativity, only parsing).
Uninterpreted Notation "B + { x : A & P }"
(at level 4, left associativity, only parsing)
V8only (at level 40, x at level 80, left associativity, only parsing).
Uninterpreted Notation "B + { x : A & P & Q }"
(at level 4, left associativity, only parsing)
V8only (at level 40, x at level 80, left associativity, only parsing).
(* At level 1 to factor with {x:A|P} etc *)
Uninterpreted Notation "{ A } + { B }" (at level 1)
V8only (at level 10, A at level 80).
Uninterpreted Notation "A + { B }" (at level 4, left associativity)
V8only (at level 40, B at level 80, left associativity).
(** Notations for sigma-types or subsets *)
Uninterpreted Notation "{ x : A | P }" (at level 1)
V8only (at level 10, x at level 80).
Uninterpreted Notation "{ x : A | P & Q }" (at level 1)
V8only (at level 10, x at level 80).
Uninterpreted Notation "{ x : A & P }" (at level 1)
V8only (at level 10, x at level 80).
Uninterpreted Notation "{ x : A & P & Q }" (at level 1)
V8only (at level 10, x at level 80).
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