| These are the notations whose level and associativity is imposed by Coq |
| Notations for logical connectives |
Reserved Notation "x <-> y" (at level 95, no associativity).
Reserved Notation "x /\ y" (at level 80, right associativity).
Reserved Notation "x \/ y" (at level 85, right associativity).
Reserved Notation "~ x" (at level 75, right associativity).
| Notations for equality and inequalities |
Reserved Notation "x = y :> T"
(at level 70, y at next level, no associativity).
Reserved Notation "x = y" (at level 70, no associativity).
Reserved Notation "x = y = z"
(at level 70, no associativity, y at next level).
Reserved Notation "x <> y :> T"
(at level 70, y at next level, no associativity).
Reserved Notation "x <> y" (at level 70, no associativity).
Reserved Notation "x <= y" (at level 70, no associativity).
Reserved Notation "x < y" (at level 70, no associativity).
Reserved Notation "x >= y" (at level 70, no associativity).
Reserved Notation "x > y" (at level 70, no associativity).
Reserved Notation "x <= y <= z" (at level 70, y at next level).
Reserved Notation "x <= y < z" (at level 70, y at next level).
Reserved Notation "x < y < z" (at level 70, y at next level).
Reserved Notation "x < y <= z" (at level 70, y at next level).
| Arithmetical notations (also used for type constructors) |
Reserved Notation "x + y" (at level 50, left associativity).
Reserved Notation "x - y" (at level 50, left associativity).
Reserved Notation "x * y" (at level 40, left associativity).
Reserved Notation "x / y" (at level 40, left associativity).
Reserved Notation "- x" (at level 35, right associativity).
Reserved Notation "/ x" (at level 35, right associativity).
Reserved Notation "x ^ y" (at level 30, right associativity).
| Notations for pairs |
Reserved Notation "( x , y , .. , z )" (at level 0).
| Notation "{ x }" is reserved and has a special status as component of other notations; it is at level 0 to factor with {x:A|P} etc |
Reserved Notation "{ x }" (at level 0, x at level 99).
| Notations for sum-types |
Reserved Notation "{ A } + { B }" (at level 50, left associativity).
Reserved Notation "A + { B }" (at level 50, left associativity).
| Notations for sigma-types or subsets |
Reserved Notation "{ x : A | P }" (at level 0, x at level 99).
Reserved Notation "{ x : A | P & Q }" (at level 0, x at level 99).
Reserved Notation "{ x : A & P }" (at level 0, x at level 99).
Reserved Notation "{ x : A & P & Q }" (at level 0, x at level 99).
Delimit Scope type_scope with type.
Delimit Scope core_scope with core.
Open Scope core_scope.
Open Scope type_scope.