package coq

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Formal proof management system

Install

Dune Dependency

coq.inria.fr Edit opam file Versions (38)

Authors

T

The Coq development team, INRIA, CNRS, and contributors.

Maintainers

C

coqdev@inria.fr

Sources

coq-8.15.0.tar.gz

sha256=73466e61f229b23b4daffdd964be72bd7a110963b9d84bd4a86bb05c5dc19ef3

doc/coq-core.kernel/Univ/LMap/index.html

Module `Univ.LMap`Source

deprecated Use Univ.Level.Map

include CMap.ExtS
  with type key = Level.t
   and type 'a t = 'a Level.Map.t
   and module Set := Level.Set

The underlying Map library

include CSig.MapS with type key = Level.t with type 'a t = 'a Level.Map.t

type key = Level.t

type 'a t = 'a Level.Map.t

val empty : 'a t

val is_empty : 'a t -> bool

val mem : key -> 'a t -> bool

val add : key -> 'a -> 'a t -> 'a t

val singleton : key -> 'a -> 'a t

val remove : key -> 'a t -> 'a t

val merge : 
  (key -> 'a option -> 'b option -> 'c option) ->
  'a t ->
  'b t ->
  'c t

val union : (key -> 'a -> 'a -> 'a option) -> 'a t -> 'a t -> 'a t

val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int

val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool

val iter : (key -> 'a -> unit) -> 'a t -> unit

val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b

val for_all : (key -> 'a -> bool) -> 'a t -> bool

val exists : (key -> 'a -> bool) -> 'a t -> bool

val filter : (key -> 'a -> bool) -> 'a t -> 'a t

val partition : (key -> 'a -> bool) -> 'a t -> 'a t * 'a t

val cardinal : 'a t -> int

val bindings : 'a t -> (key * 'a) list

val min_binding : 'a t -> key * 'a

val max_binding : 'a t -> key * 'a

val choose : 'a t -> key * 'a

val choose_opt : 'a t -> (key * 'a) option

val split : key -> 'a t -> 'a t * 'a option * 'a t

val find : key -> 'a t -> 'a

val find_opt : key -> 'a t -> 'a option

val map : ('a -> 'b) -> 'a t -> 'b t

val mapi : (key -> 'a -> 'b) -> 'a t -> 'b t

val get : key -> 'a t -> 'a

Same as find but fails an assertion instead of raising Not_found

val set : key -> 'a -> 'a t -> 'a t

Same as add, but expects the key to be present, and thus faster.

raises Not_found
when the key is unbound in the map.

val modify : key -> (key -> 'a -> 'a) -> 'a t -> 'a t

Apply the given function to the binding of the given key.

raises Not_found
when the key is unbound in the map.

val domain : 'a t -> Level.Set.t

Recover the set of keys defined in the map.

val bind : (key -> 'a) -> Level.Set.t -> 'a t

bind f s transform the set x1; ...; xn into x1 := f x1; ...; xn := f xn.

val fold_left : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b

Alias for fold, to easily track where we depend on fold order.

val fold_right : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b

Folding keys in decreasing order.

val height : 'a t -> int

An indication of the logarithmic size of a map

val filter_range : (key -> int) -> 'a t -> 'a t

find_range in_range m Given a comparison function in_range x, that tests if x is below, above, or inside a given range filter_range returns the submap of m whose keys are in range. Note that in_range has to define a continouous range.

val update : key -> ('a option -> 'a option) -> 'a t -> 'a t

update x f m returns a map containing the same bindings as m, except for the binding of x. Depending on the value of y where y is f (find_opt x m), the binding of x is added, removed or updated. If y is None, the binding is removed if it exists; otherwise, if y is Some z then x is associated to z in the resulting map. If x was already bound in m to a value that is physically equal to z, m is returned unchanged (the result of the function is then physically equal to m).

module Smart : sig ... end

module Unsafe : sig ... end

module Monad (M : CMap.MonadS) : sig ... end

Fold operators parameterized by any monad.

Sourceval lunion : 'a t -> 'a t -> 'a t

Sourceval diff : 'a t -> 'a t -> 'a t

Sourceval subst_union : 'a option t -> 'a option t -> 'a option t

Sourceval pr : ('a -> Pp.t) -> 'a t -> Pp.t