[proof] Move proofs that have an associated constant to `Lemmas`

The main idea of this PR is to distinguish the types of "proof object"
`Proof_global.t` and the type of "proof object associated to a
constant, the new `Lemmas.t`.

This way, we can move the terminator setup to the higher layer in
`vernac`, which is the one that really knows about constants, paving
the way for further simplification and in particular for a unified
handling of constant saving by removal of the control inversion here.

Terminators are now internal to `Lemmas`, as it is the only part of
the code applying them.

As a consequence, proof nesting is now handled by `Lemmas`, and
`Proof_global.t` is just a single `Proof.t` plus some environmental
meta-data.

We are also enable considerable simplification in a future PR, as this
patch makes `Proof.t` and `Proof_global.t` essentially the same, so we
should expect to handle them under a unified interface.

1 files changed, 1 insertions, 1 deletions

diff --git a/tactics/hints.ml b/tactics/hints.ml
index cc56c1c425..6fcb37d87c 100644
--- a/tactics/hints.ml
+++ b/tactics/hints.ml
@@ -1518,7 +1518,7 @@ let pr_hint_term env sigma cl =
 (* print all hints that apply to the concl of the current goal *)
 let pr_applicable_hint pf =
   let env = Global.env () in
-  let pts = Proof_global.give_me_the_proof pf in
+  let pts = Proof_global.get_proof pf in
   let Proof.{goals;sigma} = Proof.data pts in
   match goals with
   | [] -> CErrors.user_err Pp.(str "No focused goal.")