How to create the Typescript type from a generic?

const document = type({
  id: "string",
  coll: type.instanceOf(Module),
  ts: TimeStub as type.cast<TimeStub>,
  "ttl?": TimeStub as type.cast<TimeStub>,
});

const namedDocument = type("<t>",["t", "&",{
  coll: type.instanceOf(Module),
  name: "string",
  ts: TimeStub as type.cast<TimeStub>,
  "data?": "object",
}]);

const test = namedDocument(document) // This works as expected

type Document = typeof document;
type NamedDocument = typeof namedDocument;
const test: NamedDocument<Function> // This  throws the error Type 'NamedDocument' is not generic.ts(2315)

const document = type({
  id: "string",
  coll: type.instanceOf(Module),
  ts: TimeStub as type.cast<TimeStub>,
  "ttl?": TimeStub as type.cast<TimeStub>,
});

const namedDocument = type("<t>",["t", "&",{
  coll: type.instanceOf(Module),
  name: "string",
  ts: TimeStub as type.cast<TimeStub>,
  "data?": "object",
}]);

const test = namedDocument(document) // This works as expected

type Document = typeof document;
type NamedDocument = typeof namedDocument;
const test: NamedDocument<Function> // This  throws the error Type 'NamedDocument' is not generic.ts(2315)