Declare
This module provides the functions to declare new variables, parameters, constants and inductive types in the global environment. It also updates some accesory tables such as Nametab
(name resolution), Impargs
, and Notations
.
We provide three main entry points:
start/save
functions which will create an interactive proof, allow its modification using tactics, and saving when complete.Note that the API in this file is still in a state of flux, don't hesitate to contact the maintainers if you have any question.
Additionally, this file does contain some low-level functions, marked as such; these functions are unstable and should not be used unless you already know what they are doing.
module Hook : sig ... end
Declaration hooks, to be run when a constant is saved. Use with care, as imperative effects may become not supported in the future.
module CInfo : sig ... end
Information for a single top-level named constant
module Info : sig ... end
Information for a declaration, interactive or not, includes parameters shared by mutual constants
val declare_definition : info:Info.t -> cinfo:EConstr.t option CInfo.t -> opaque:bool -> body:EConstr.t -> Evd.evar_map -> Names.GlobRef.t
Declares a non-interactive constant; body
and types
will be normalized w.r.t. the passed evar_map
sigma
. Universes should be handled properly, including minimization and restriction. Note that sigma
is checked for unresolved evars, thus you should be careful not to submit open terms
val declare_mutually_recursive : info:Info.t -> cinfo:Constr.t CInfo.t list -> opaque:bool -> ntns:Metasyntax.where_decl_notation list
-> uctx:UState.t -> rec_declaration:Constr.rec_declaration -> possible_indexes:lemma_possible_guards option -> Names.GlobRef.t list
module OblState : sig ... end
save
/ save_admitted
can update obligations state, so we need to expose the state here
module Proof : sig ... end
Declare.Proof.t
Construction of constants using interactive proofs.
Proof entries represent a proof that has been finished, but still not registered with the kernel.
XXX: This is an internal, low-level API and could become scheduled for removal from the public API, use higher-level declare APIs instead
val definition_entry : ?opaque:bool -> ?using:Names.Id.Set.t -> ?inline:bool -> ?types:Constr.types ->
?univs:UState.named_universes_entry -> Constr.constr -> proof_entry
val parameter_entry : ?inline:int -> ?univs:UState.named_universes_entry -> Constr.constr -> parameter_entry
val primitive_entry : ?types:(Constr.types * UState.named_universes_entry) -> CPrimitives.op_or_type -> primitive_entry
val declare_entry : name:Names.Id.t -> ?scope:Locality.definition_scope -> kind:Decls.logical_kind -> ?hook:Hook.t -> impargs:Impargs.manual_implicits -> uctx:UState.t -> proof_entry -> Names.GlobRef.t
XXX: This is an internal, low-level API and could become scheduled for removal from the public API, use higher-level declare APIs instead
val declare_variable : name:Names.variable -> kind:Decls.logical_kind -> typ:Constr.types -> impl:Glob_term.binding_kind -> univs:UState.named_universes_entry -> unit
Declaration of local constructions (Variable/Hypothesis/Local)
type constant_entry =
| DefinitionEntry of proof_entry |
| ParameterEntry of parameter_entry |
| PrimitiveEntry of primitive_entry |
Declaration of global constructions i.e. Definition/Theorem/Axiom/Parameter/...
XXX: This is an internal, low-level API and could become scheduled for removal from the public API, use higher-level declare APIs instead
val prepare_parameter : poly:bool -> udecl:UState.universe_decl -> types:EConstr.types -> Evd.evar_map -> Evd.evar_map * parameter_entry
val declare_constant : ?local:Locality.import_status -> name:Names.Id.t -> kind:Decls.logical_kind -> ?typing_flags:Declarations.typing_flags -> constant_entry -> Names.Constant.t
declare_constant id cd
declares a global declaration (constant/parameter) with name id
in the current section; it returns the full path of the declaration
XXX: This is an internal, low-level API and could become scheduled for removal from the public API, use higher-level declare APIs instead
Declaration messages, for internal use
val definition_message : Names.Id.t -> unit
XXX: Scheduled for removal from public API, do not use
val assumption_message : Names.Id.t -> unit
val fixpoint_message : int array option -> Names.Id.t list -> unit
val check_exists : Names.Id.t -> unit
val build_by_tactic : ?side_eff:bool -> Environ.env -> uctx:UState.t -> poly:bool -> typ:EConstr.types ->
unit Proofview.tactic -> Constr.constr * Constr.types option * UState.named_universes_entry * bool * UState.t
Semantics of this function is a bit dubious, use with care
Coq's Program mode support. This mode extends declarations of constants and fixpoints with Program Definition
and Program
Fixpoint
to support incremental construction of terms using delayed proofs, called "obligations"
The mode also provides facilities for managing and auto-solving sets of obligations.
The basic code flow of programs/obligations is as follows:
add_definition
/ add_mutual_definitions
are called from the respective Program
vernacular command interpretation; at this point the only extra work we do is to prepare the new definition d
using RetrieveObl
, which consists in turning unsolved evars into obligations. d
is not sent to the kernel yet, as it is not complete and cannot be typchecked, but saved in a special data-structure. Auto-solving of obligations is tried at this stage (see below)next_obligation
will retrieve the next obligation (RetrieveObl
sorts them by topological order) and will try to solve it. When all obligations are solved, the original constant d
is grounded and sent to the kernel for addition to the global environment. Auto-solving of obligations is also triggered on obligation completion.Solving of obligations: Solved obligations are stored as regular global declarations in the global environment, usually with name constant_obligation_number
where constant
is the original constant
and number
is the corresponding (internal) number.
Solving an obligation can trigger a bit of a complex cascaded callback path; closing an obligation can indeed allow all other obligations to be closed, which in turn may trigged the declaration of the original constant. Care must be taken, as this can modify Global.env
in arbitrarily ways. Current code takes some care to refresh the env
in the proper boundaries, but the invariants remain delicate.
Saving of obligations: as open obligations use the regular proof mode, a `Qed` will call `Lemmas.save_lemma` first. For this reason obligations code is split in two: this file, Obligations
, taking care of the top-level vernac commands, and Declare
, which is called by `Lemmas` to close an obligation proof and eventually to declare the top-level Program
ed constant.
module Obls : sig ... end
val is_local_constant : Names.Constant.t -> bool
module Internal : sig ... end