Module Coercionops

type cl_typ =
  1. | CL_SORT
  2. | CL_FUN
  3. | CL_SECVAR of Names.variable
  4. | CL_CONST of Names.Constant.t
  5. | CL_IND of Names.inductive
  6. | CL_PROJ of Names.Projection.Repr.t

This is the type of class kinds

val cl_typ_eq : cl_typ -> cl_typ -> bool

Equality over cl_typ

val subst_cl_typ : Environ.env -> Mod_subst.substitution -> cl_typ -> cl_typ
val cl_typ_ord : cl_typ -> cl_typ -> int

Comparison of cl_typ

type coe_typ = Names.GlobRef.t

This is the type of coercion kinds

type coe_info_typ = {
  1. coe_value : Names.GlobRef.t;
  2. coe_local : bool;
  3. coe_reversible : bool;
  4. coe_is_identity : bool;
  5. coe_is_projection : Names.Projection.Repr.t option;
  6. coe_source : cl_typ;
  7. coe_target : cl_typ;
  8. coe_param : int;
}

This is the type of infos for declared coercions

type inheritance_path = coe_info_typ list

This is the type of paths from a class to another

Access to classes infos
val class_exists : cl_typ -> bool
val class_nparams : cl_typ -> int
  • raises Not_found

    if this type is not a class

find_class_type env sigma c returns the head reference of c, its universe instance and its arguments

val find_class_glob_type : 'a Glob_term.glob_constr_g -> cl_typ

raises Not_found if not convertible to a class

val class_args_of : Environ.env -> Evd.evar_map -> EConstr.types -> EConstr.constr list
val declare_coercion : Environ.env -> Evd.evar_map -> ?update:bool -> coe_info_typ -> unit

Set update to update an already declared coercion (default false).

val coercion_exists : coe_typ -> bool

Access to coercions infos

val coercion_info : coe_typ -> coe_info_typ
Lookup functions for coercion paths

given one (or two) types these function also return the class (classes) of the type and its class_args_of

val lookup_path_between_class : (cl_typ * cl_typ) -> inheritance_path
val lookup_path_between : Environ.env -> Evd.evar_map -> src:EConstr.types -> tgt:EConstr.types -> inheritance_path
val lookup_path_to_fun_from : Environ.env -> Evd.evar_map -> EConstr.types -> inheritance_path
val lookup_path_to_sort_from : Environ.env -> Evd.evar_map -> EConstr.types -> inheritance_path
val lookup_pattern_path_between : Environ.env -> (Names.inductive * Names.inductive) -> (Names.constructor * int) list
val path_is_reversible : inheritance_path -> bool
val string_of_class : cl_typ -> string

This is for printing purpose

val pr_class : cl_typ -> Pp.t
val inheritance_graph : unit -> ((cl_typ * cl_typ) * inheritance_path) list
val classes : unit -> cl_typ list
val coercions : unit -> coe_info_typ list
val hide_coercion : coe_typ -> int option

hide_coercion returns the number of params to skip if the coercion must be hidden, None otherwise; it raises Not_found if not a coercion

module ClTypSet : CSet.ExtS with type elt = cl_typ
val reachable_from : cl_typ -> ClTypSet.t