package coq

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Formal proof management system

Install 

dune-project
 Dependency

coq.inria.fr Edit opam file Versions (40)

Authors

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

Maintainers

  1. C
    coqdev@inria.fr

Sources

coq-8.14.1.tar.gz
sha256=3cbfc1e1a72b16d4744f5b64ede59586071e31d9c11c811a0372060727bfd9c3

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

Module Univ.LMapSource

Polymorphic maps from universe levels to 'a

include CMap.ExtS with type key = Level.t and module Set := LSet

The underlying Map library

include CSig.MapS with type key = Level.t
type key = Level.t
type +'a 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 -> LSet.t

Recover the set of keys defined in the map.

val bind : (key -> 'a) -> LSet.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

lunion x y favors the bindings in the first map.

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

diff x y removes bindings from x that appear in y (whatever the value).

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

subst_union x y favors the bindings of the first map that are Some, otherwise takes y's bindings.

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

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