Reserved names.

We use reserved names for automatically generated theorems (e.g., equational theorems). Automation may register new reserved name predicates. In this module, we just check the registered predicates, but do not trigger actions associated with them. For example, give a definition foo, we flag foo.def as reserved symbol.

def Lean.throwReservedNameNotAvailable {m : Type → Type} [Monad m] [MonadError m] (declName reservedName : Name) : m Unit

def Lean.ensureReservedNameAvailable {m : Type → Type} [Monad m] [MonadEnv m] [MonadError m] (declName : Name) (suffix : String) : m Unit

opaque Lean.reservedNamePredicatesRef : IO.Ref (Array (Environment → Name → Bool))

Global reference containing all reserved name predicates.

def Lean.registerReservedNamePredicate (p : Environment → Name → Bool) : IO Unit

Registers a new reserved name predicate.

opaque Lean.reservedNamePredicatesExt : EnvExtension (Array (Environment → Name → Bool))

@[export lean_is_reserved_name]

def Lean.isReservedName (env : Environment) (name : Name) : Bool

Returns true if name is a reserved name.

We use aliases to implement the export <id> (<id>+) command. An export A (x) in the namespace B produces an alias B.x ~> A.x.

@[reducible, inline]

abbrev Lean.AliasState : Type

@[reducible, inline]

abbrev Lean.AliasEntry : Type

def Lean.addAliasEntry (s : AliasState) (e : AliasEntry) : AliasState

opaque Lean.aliasExtension : SimplePersistentEnvExtension AliasEntry AliasState

@[export lean_add_alias]

def Lean.addAlias (env : Environment) (a e : Name) : Environment

Add alias a for e

def Lean.getAliasState (env : Environment) : AliasState

def Lean.getAliases (env : Environment) (a : Name) (skipProtected : Bool) : List Name

Retrieve aliases for a. If skipProtected is true, then the resulting list only includes declarations that are not marked as protected.

def Lean.getRevAliases (env : Environment) (e : Name) : List Name

Global name resolution

opaque Lean.ResolveName.backward.privateInPublic : Lean.Option Bool

opaque Lean.ResolveName.backward.privateInPublic.warn : Lean.Option Bool

def Lean.ResolveName.resolveGlobalName (env : Environment) (opts : Options) (ns : Name) (openDecls : List OpenDecl) (id : Name) : List (Name × List String)

Primitive global name resolution procedure. It does not trigger actions associated with reserved names. Recall that Lean has reserved names. For example, a definition foo has a reserved name foo.def for theorem containing stating that foo is equal to its definition. The action associated with foo.def automatically proves the theorem. At the macro level, the name is resolved, but the action is not executed.

Namespace resolution

def Lean.ResolveName.resolveNamespaceUsingScope? (env : Environment) (n ns : Name) : Option Name

def Lean.ResolveName.resolveNamespaceUsingOpenDecls (env : Environment) (n : Name) : List OpenDecl → List Name

def Lean.ResolveName.resolveNamespace (env : Environment) (ns : Name) (openDecls : List OpenDecl) (id : Name) : List Name

Given a name id try to find namespaces it may refer to. The resolution procedure works as follows

1- If id is in the scope of namespace commands the namespace s_1. ... . s_n, then we include s_1 . ... . s_i ++ n in the result if it is the name of an existing namespace. We search "backwards", and include at most one of the in the list of resulting namespaces.

2- If id is the exact name of an existing namespace, then include id

3- Finally, for each command open N, include in the result N ++ n if it is the name of an existing namespace. We only consider simple open commands.

class Lean.MonadResolveName (m : Type → Type) : Type

• getCurrNamespace : m Name
• getOpenDecls : m (List OpenDecl)

@[implicit_reducible]

instance Lean.instMonadResolveNameOfMonadLift (m n : Type → Type) [MonadLift m n] [MonadResolveName m] : MonadResolveName n

def Lean.checkPrivateInPublic {m : Type → Type} [Monad m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] (id : Name) : m Unit

def Lean.isInaccessiblePrivateName {m : Type → Type} [MonadLog m] [AddMessageContext m] [Monad m] [MonadEnv m] [MonadOptions m] (n : Name) : m Bool

def Lean.resolveGlobalName {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] (id : Name) (enableLog : Bool := true) : m (List (Name × List String))

Given a name n, return a list of possible interpretations. Each interpretation is a pair (declName, fieldList), where declName is the name of a declaration in the current environment, and fieldList are (potential) field names. The pair is needed because in Lean . may be part of a qualified name or a field (aka dot-notation). As an example, consider the following definitions

def Boo.x   := 1
def Foo.x   := 2
def Foo.x.y := 3

After open Foo, we have

• resolveGlobalName x => [(Foo.x, [])]
• resolveGlobalName x.y => [(Foo.x.y, [])]
• resolveGlobalName x.z.w => [(Foo.x, [z, w])]

After open Foo open Boo, we have

• resolveGlobalName x => [(Foo.x, []), (Boo.x, [])]
• resolveGlobalName x.y => [(Foo.x.y, [])]
• resolveGlobalName x.z.w => [(Foo.x, [z, w]), (Boo.x, [z, w])]

If enableLog is false, this function does not ever log warnings etc, which is useful if it may be called incidentally or multiple times.

def Lean.resolveNamespaceCore {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadError m] (id : Name) (allowEmpty : Bool := false) : m (List Name)

Given a namespace name, return a list of possible interpretations. Names extracted from syntax should be passed to resolveNamespace instead.

def Lean.resolveNamespace {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadError m] : Ident → m (List Name)

Given a namespace identifier, return a list of possible interpretations.

def Lean.resolveUniqueNamespace {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadError m] (id : Ident) : m Name

Given a namespace identifier, return the unique interpretation or else fail.

def Lean.filterFieldList {m : Type → Type} [Monad m] [MonadEnv m] [MonadError m] (n : Name) (cs : List (Name × List String)) : m (List Name)

Helper function for resolveGlobalConstCore.

def Lean.ensureNoOverload {m : Type → Type} [Monad m] [MonadError m] (n : Name) (cs : List Name) : m Name

Helper function for resolveGlobalConstNoOverloadCore

def Lean.resolveGlobalConstNoOverloadCore {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] [MonadError m] (n : Name) : m Name

For identifiers taken from syntax, use resolveGlobalConstNoOverload instead, which respects preresolved names.

def Lean.preprocessSyntaxAndResolve {m : Type → Type} [Monad m] [MonadError m] (stx : Syntax) (k : Name → m (List Name)) : m (List Name)

def Lean.resolveGlobalConst {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] [MonadError m] (stx : Syntax) : m (List Name)

Interprets the syntax n as an identifier for a global constant, and returns a list of resolved constant names that it could be referring to based on the currently open namespaces. This should be used instead of resolveGlobalConstCore for identifiers taken from syntax because Syntax objects may have names that have already been resolved.

Consider using realizeGlobalConst if you need to handle reserved names, and realizeGlobalConstWithInfo if you want the syntax to show the resulting name's info on hover.

Example:

def Boo.x   := 1
def Foo.x   := 2
def Foo.x.y := 3

After open Foo, we have

• resolveGlobalConst x => [Foo.x]
• resolveGlobalConst x.y => [Foo.x.y]
• resolveGlobalConst x.z.w => error: unknown constant

After open Foo open Boo, we have

• resolveGlobalConst x => [Foo.x, Boo.x]
• resolveGlobalConst x.y => [Foo.x.y]
• resolveGlobalConst x.z.w => error: unknown constant

def Lean.ensureNonAmbiguous {m : Type → Type} [Monad m] [MonadError m] (id : Syntax) (cs : List Name) : m Name

Given a list of names produced by resolveGlobalConst, throws an error if the list does not contain exactly one element. Recall that resolveGlobalConst does not return empty lists.

def Lean.resolveGlobalConstNoOverload {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] [MonadError m] (id : Syntax) : m Name

Interprets the syntax n as an identifier for a global constant, and return a resolved constant name. If there are multiple possible interpretations it will throw.

Consider using realizeGlobalConstNoOverload if you need to handle reserved names, and realizeGlobalConstNoOverloadWithInfo if you want the syntax to show the resulting name's info on hover.

Example:

def Boo.x   := 1
def Foo.x   := 2
def Foo.x.y := 3

After open Foo, we have

• resolveGlobalConstNoOverload x => Foo.x
• resolveGlobalConstNoOverload x.y => Foo.x.y
• resolveGlobalConstNoOverload x.z.w => error: unknown constant

After open Foo open Boo, we have

• resolveGlobalConstNoOverload x => error: ambiguous identifier
• resolveGlobalConstNoOverload x.y => Foo.x.y
• resolveGlobalConstNoOverload x.z.w => error: unknown constant

def Lean.resolveLocalName {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] [MonadLCtx m] (n : Name) : m (Option (Expr × List String))

Resolves the name n in the local context.

def Lean.unresolveNameGlobal {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] (n₀ : Name) (fullNames allowHorizAliases : Bool := false) (filter : Name → m Bool := fun (x : Name) => pure true) : m Name

Finds a name that unambiguously resolves to the given name n₀. Considers suffixes of n₀ and suffixes of aliases of n₀ when "unresolving". Aliases are considered first.

When fullNames is true, returns either n₀ or _root_.n₀.

When allowHorizAliases is false, then "horizontal aliases" (ones that are not put into a parent namespace) are filtered out. The assumption is that non-horizontal aliases are "API exports" (i.e., intentional exports that should be considered to be the new canonical name). "Non-API exports" arise from (1) using export to add names to a namespace for dot notation or (2) projects that want names to be conveniently and permanently accessible in their own namespaces.

filter specifies a predicate that the unresolved name must additionally satisfy.

This function is meant to be used for pretty printing. If n₀ is an accessible name, then the result will be an accessible name.

The name n₀ may be private.

def Lean.unresolveNameGlobalAvoidingLocals {m : Type → Type} [Monad m] [MonadResolveName m] [MonadEnv m] [MonadOptions m] [MonadLog m] [AddMessageContext m] [MonadLCtx m] (n₀ : Name) (fullNames : Bool := false) : m Name

Like Lean.unresolveNameGlobal, but also ensures that the unresolved name does not conflict with the names of any local declarations.