[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/doc/plugin_tutorial/tuto1/src/g_tuto1.mlg b/doc/plugin_tutorial/tuto1/src/g_tuto1.mlg
index 0b005a2341..73d94c2a51 100644
--- a/doc/plugin_tutorial/tuto1/src/g_tuto1.mlg
+++ b/doc/plugin_tutorial/tuto1/src/g_tuto1.mlg
@@ -287,7 +287,7 @@ VERNAC COMMAND EXTEND ExploreProof CLASSIFIED AS QUERY
 | ![ proof_query ] [ "ExploreProof" ] ->
   { fun ~pstate ->
     let sigma, env = Pfedit.get_current_context pstate in
-    let pprf = Proof.partial_proof Proof_global.(give_me_the_proof pstate) in
+    let pprf = Proof.partial_proof (Proof_global.get_proof pstate) in
     Feedback.msg_notice
       (Pp.prlist_with_sep Pp.fnl (Printer.pr_econstr_env env sigma) pprf)
   }