Module `Section`

Kernel implementation of sections.

type 'a t: Type of sections with additional data 'a

val empty : 'a t
val is_empty : 'a t -> bool: Checks whether there is no opened section

val depth : 'a t -> int: Number of nested sections (0 if no sections are open)

Manipulating sections

type section_entry = | SecDefinition of Names.Constant.t | SecInductive of Names.MutInd.t

val open_section : custom:'a -> 'a t -> 'a t: Open a new section with the provided universe polymorphic status. Sections can be nested, with the proviso that polymorphic sections cannot appear inside a monomorphic one. A custom data can be attached to this section, that will be returned by close_section.

val close_section : 'a t -> 'a t * section_entry list * Univ.ContextSet.t * 'a: Close the current section and returns the entries defined inside, the set of global monomorphic constraints added in this section, and the custom data provided at the opening of the section.

Extending sections

val push_local : 'a t -> 'a t: Extend the current section with a local definition (cf. push_named).

val push_context : (Names.Name.t array * Univ.UContext.t) -> 'a t -> 'a t: Extend the current section with a local universe context. Assumes that the last opened section is polymorphic.

val push_constraints : Univ.ContextSet.t -> 'a t -> 'a t: Extend the current section with a global universe context. Assumes that the last opened section is monomorphic.

val push_constant : poly:bool -> Names.Constant.t -> 'a t -> 'a t: Make the constant as having been defined in this section.

val push_inductive : poly:bool -> Names.MutInd.t -> 'a t -> 'a t: Make the inductive block as having been defined in this section.

Retrieving section data

type abstr_info = private { abstr_ctx : Constr.named_context; Section variables of this prefix abstr_subst : Univ.Instance.t; Actual names of the abstracted variables abstr_uctx : Univ.AUContext.t; Universe quantification, same length as the substitution }: Data needed to abstract over the section variable and universe hypotheses

val empty_segment : abstr_info: Nothing to abstract

val segment_of_constant : Environ.env -> Names.Constant.t -> 'a t -> abstr_info: Section segment at the time of the constant declaration

val segment_of_inductive : Environ.env -> Names.MutInd.t -> 'a t -> abstr_info: Section segment at the time of the inductive declaration

val replacement_context : Environ.env -> 'a t -> Opaqueproof.work_list: Section segments of all declarations from this section.

val is_in_section : Environ.env -> Names.GlobRef.t -> 'a t -> bool