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This avoids doing it repeatedly for nothing in intern/extern.
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This allows proper treatment in notations, ie fixes #13303
The "glob" representation of universes (what pretyping sees) contains
only fully interpreted (kernel) universes and unbound universe
ids (for non Strict Universe Declaration).
This means universes need to be understood at intern time, so intern
now has a new "universe binders" argument. We cannot avoid this due to
the following example:
~~~coq
Module Import M. Universe i. End M.
Definition foo@{i} := Type@{i}.
~~~
When interning `Type@{i}` we need to know that `i` is locally bound to
avoid interning it as `M.i`.
Extern has a symmetrical problem:
~~~coq
Module Import M. Universe i. End M.
Polymorphic Definition foo@{i} := Type@{M.i} -> Type@{i}.
Print foo. (* must not print Type@{i} -> Type@{i} *)
~~~
(Polymorphic as otherwise the local `i` will be called `foo.i`)
Therefore extern also takes a universe binders argument.
Note that the current implementation actually replaces local universes
with names at detype type. (Asymmetrical to pretyping which only gets
names in glob terms for dynamically declared univs, although it's
capable of understanding bound univs too)
As such extern only really needs the domain of the universe
binders (ie the set of bound universe ids), we just arbitrarily pass
the whole universe binders to avoid putting `Id.Map.domain` at every
entry point.
Note that if we want to change so that detyping does not name locally
bound univs we would need to pass the reverse universe binders (map
from levels to ids, contained in the ustate ie in the evar map) to
extern.
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The API in `DeclareDef` should become the recommended API in `Declare`.
This greatly reduces the exposure of internals; we still have a large
offender in `Lemmas` but that will be taken care of in the next
commit; effectively removing quite some chunks from `declare.mli`.
This PR originally introduced a dependency cycle due to:
- `Declare`: uses `Vernacexpr.decl_notation list`
- `Vernacexpr`: uses `ComHint.hint_expr`
- `ComHint`: uses `Declare.declare_constant`
This is a real cycle in the sense that `ComHint` would have also move
to `DeclareDef` in the medium term.
There were quite a few ways to solve it, we have chosen to
move the hints ast to `Vernacexpr` as it is not very invasive
and seems consistent with the current style.
Alternatives, which could be considered at a later stage are for
example moving the notations AST to `Metasyntax`, having `Declare` not
to depend on `Vernacexpr` [which seems actually a good thing to do in
the medium term], reworking notation support more deeply...
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Add headers to a few files which were missing them.
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The code is self-contained and only used by commands; this also
highlights the several `Libobject.obj` registered for each
declaration.
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