package coq

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package coq
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This file defines a lot of different notions of names used pervasively in the kernel as well as in other places. The essential datatypes exported by this API are:

  • Id.t is the type of identifiers, that is morally a subset of strings which only contains Unicode characters of the Letter kind (and a few more).
  • Name.t is an ad-hoc variant of Id.t option allowing to handle optionally named objects.
  • DirPath.t represents generic paths as sequences of identifiers.
  • Label.t is an equivalent of Id.t made distinct for semantical purposes.
  • ModPath.t are module paths.
  • KerName.t are absolute names of objects in Coq.
Identifiers
module Id : sig ... end

Representation and operations on identifiers.

module Name : sig ... end

Representation and operations on identifiers that are allowed to be anonymous (i.e. "_" in concrete syntax).

Type aliases
type name = Name.t =
  1. | Anonymous
  2. | Name of Id.t
  • deprecated Use Name.t
type variable = Id.t
type module_ident = Id.t
module ModIdset : Util.Set.S with type elt = module_ident
module ModIdmap : Util.Map.ExtS with type key = module_ident and module Set := ModIdset
Directory paths = section names paths
module DirPath : sig ... end
module DPset : Util.Set.S with type elt = DirPath.t
module DPmap : Util.Map.ExtS with type key = DirPath.t and module Set := DPset
Names of structure elements
module Label : sig ... end
Unique names for bound modules
module MBId : sig ... end
module MBIset : Util.Set.S with type elt = MBId.t
module MBImap : Util.Map.ExtS with type key = MBId.t and module Set := MBIset
The module part of the kernel name
module ModPath : sig ... end
module MPset : Util.Set.S with type elt = ModPath.t
module MPmap : Util.Map.ExtS with type key = ModPath.t and module Set := MPset
The absolute names of objects seen by kernel
module KerName : sig ... end
module KNset : CSig.SetS with type elt = KerName.t
module KNpred : Predicate.S with type elt = KerName.t
module KNmap : Util.Map.ExtS with type key = KerName.t and module Set := KNset
Signature for quotiented names
module type EqType = sig ... end
module type QNameS = sig ... end
Constant Names
module Constant : sig ... end
module Cpred : Predicate.S with type elt = Constant.t

The *_env modules consider an order on user part of names the others consider an order on canonical part of names

module Cset : CSig.SetS with type elt = Constant.t
module Cset_env : CSig.SetS with type elt = Constant.t
module Cmap : Util.Map.ExtS with type key = Constant.t and module Set := Cset

A map whose keys are constants (values of the Constant.t type). Keys are ordered wrt. "canonical form" of the constant.

module Cmap_env : Util.Map.ExtS with type key = Constant.t and module Set := Cset_env

A map whose keys are constants (values of the Constant.t type). Keys are ordered wrt. "user form" of the constant.

Inductive names
module MutInd : sig ... end
module Mindset : CSig.SetS with type elt = MutInd.t
module Mindmap : Util.Map.ExtS with type key = MutInd.t and module Set := Mindset
module Mindmap_env : CMap.ExtS with type key = MutInd.t
module Ind : sig ... end
type inductive = Ind.t
module Construct : sig ... end
type constructor = Construct.t
module Indset : CSet.S with type elt = inductive
module Constrset : CSet.S with type elt = constructor
module Indset_env : CSet.S with type elt = inductive
module Constrset_env : CSet.S with type elt = constructor
module Indmap : CMap.ExtS with type key = inductive and module Set := Indset
module Constrmap : CMap.ExtS with type key = constructor and module Set := Constrset
module Indmap_env : CMap.ExtS with type key = inductive and module Set := Indset_env
module Constrmap_env : CMap.ExtS with type key = constructor and module Set := Constrset_env
val ind_modpath : inductive -> ModPath.t
  • deprecated Use the Ind module
val constr_modpath : constructor -> ModPath.t
  • deprecated Use the Construct module
val ith_mutual_inductive : inductive -> int -> inductive
val ith_constructor_of_inductive : inductive -> int -> constructor
val inductive_of_constructor : constructor -> inductive
val index_of_constructor : constructor -> int
val eq_ind : inductive -> inductive -> bool
  • deprecated Use the Ind module
val eq_user_ind : inductive -> inductive -> bool
  • deprecated Use the Ind module
val eq_syntactic_ind : inductive -> inductive -> bool
  • deprecated Use the Ind module
val ind_ord : inductive -> inductive -> int
  • deprecated Use the Ind module
val ind_hash : inductive -> int
  • deprecated Use the Ind module
val ind_user_ord : inductive -> inductive -> int
  • deprecated Use the Ind module
val ind_user_hash : inductive -> int
  • deprecated Use the Ind module
val ind_syntactic_ord : inductive -> inductive -> int
  • deprecated Use the Ind module
val ind_syntactic_hash : inductive -> int
  • deprecated Use the Ind module
val eq_constructor : constructor -> constructor -> bool
  • deprecated Use the Construct module
val eq_user_constructor : constructor -> constructor -> bool
  • deprecated Use the Construct module
val eq_syntactic_constructor : constructor -> constructor -> bool
  • deprecated Use the Construct module
val constructor_ord : constructor -> constructor -> int
  • deprecated Use the Construct module
val constructor_hash : constructor -> int
  • deprecated Use the Construct module
val constructor_user_ord : constructor -> constructor -> int
  • deprecated Use the Construct module
val constructor_user_hash : constructor -> int
  • deprecated Use the Construct module
val constructor_syntactic_ord : constructor -> constructor -> int
  • deprecated Use the Construct module
val constructor_syntactic_hash : constructor -> int
  • deprecated Use the Construct module
Hash-consing
val hcons_con : Constant.t -> Constant.t
val hcons_mind : MutInd.t -> MutInd.t
val hcons_ind : inductive -> inductive
val hcons_construct : constructor -> constructor
type 'a tableKey =
  1. | ConstKey of 'a
  2. | VarKey of Id.t
  3. | RelKey of Int.t
type inv_rel_key = int

index in the rel_context part of environment starting by the end, inverse of de Bruijn indice

val eq_table_key : ('a -> 'a -> bool) -> 'a tableKey -> 'a tableKey -> bool
val eq_constant_key : Constant.t -> Constant.t -> bool

equalities on constant and inductive names (for the checker)

val eq_ind_chk : inductive -> inductive -> bool
Module paths
type module_path = ModPath.t =
  1. | MPfile of DirPath.t
  2. | MPbound of MBId.t
  3. | MPdot of ModPath.t * Label.t
  • deprecated Alias type
module Projection : sig ... end
Global reference is a kernel side type for all references together
module GlobRef : sig ... end

Located identifiers and objects with syntax.

type lident = Id.t CAst.t
type lname = Name.t CAst.t
type lstring = string CAst.t
val lident_eq : lident -> lident -> bool
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