Reviewed-by: Zimmi48
Reviewed-by: vbgl

- to zify the conclusion, we are using Tactics.apply (not rewrite)

Closes #11089

- constrain the arguments of Add Zify X to be GlobRef.t
Unset Primitive Projections so that projections are GlobRef.t.

Closes #14043

Update doc/sphinx/addendum/micromega.rst

Co-authored-by: Théo Zimmermann <theo.zimmi@gmail.com>

The role of the `zify_saturate` tactic is to augment the goal with
positivity constraints.  The premisses were previously obtained from
the context. If they are not present, we instantiate the saturation
lemma anyway.

Also,
- Remove saturation rules for Z.mul, the reasoning is performed by lia/nia
- Run zify_saturate after zify_to_euclidean_division_equations
- Better lemma for Z.power
- Ensure that lemma are generated once

Co-authored-by:  Andrej Dudenhefner  <mrhaandi>

Closes #12184, #11656

The vernacular command takes a reference instead of a constr.
Moreover, the head symbol is checked i.e
Add Zify InjTyp ref checks that the referenced term has type
Intyp X1 ... Xn

Closes #14054, #13242

Co-authored-by: Vincent Laporte <vbgl@users.noreply.github.com>

Co-authored-by: Gaëtan Gilbert <gaetan.gilbert@skyskimmer.net>

We introduce a new package structure for Coq:

- `coq-core`: Coq's OCaml tools code and plugins
- `coq-stdlib`: Coq's stdlib [.vo files]
- `coq`: meta-package that pulls `coq-{core,stdlib}`

This has several advantages, in particular it allows to install Coq
without the stdlib which is useful in several scenarios, it also open
the door towards a versioning of the stdlib at the package level.

The main user-visible change is that Coq's ML development files now
live in `$lib/coq-core`, for compatibility in the regular build we
install a symlink and support both setups for a while.

Note that plugin developers and even `coq_makefile` should actually
rely on `ocamlfind` to locate Coq's OCaml libs as to be more robust.

There is a transient state where we actually look for both
`$coqlib/plugins` and `$coqlib/../coq-core/plugins` as to support
the non-ocamlfind plus custom variables.

This will be much improved once #13617 is merged (which requires this
PR first), then, we will introduce a `coq.boot` library so finally
`coqdep`, `coqchk`, etc... can share the same path setup code.

IMHO the plan should work fine.

Closes #13794

The goal is to eventually only use the Simplex solver and
remove all the code needed for fourier elimination.