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Currently, `.v` under the `Coq.` prefix are found in both `theories`
and `plugins`. Usually these two directories are merged by special
loadpath code that allows double-binding of the prefix.
This adds some complexity to the build and loadpath system; and in
particular, it prevents from handling the `Coq.*` prefix in the
simple, `-R theories Coq` standard way.
We thus move all `.v` files to theories, leaving `plugins` as an
OCaml-only directory, and modify accordingly the loadpath / build
infrastructure.
Note that in general `plugins/foo/Foo.v` was not self-contained, in
the sense that it depended on files in `theories` and files in
`theories` depended on it; moreover, Coq saw all these files as
belonging to the same namespace so it didn't really care where they
lived.
This could also imply a performance gain as we now effectively
traverse less directories when locating a library.
See also discussion in #10003
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* This patch is a quick fix that removes part of the features of coq/coq#10022,
namely the ability to directly use setoid_rewrite with a (Under_rel)-tagged
relation R. This just means we'll need to do an extra step [rewrite UnderE.]
which was unnecessary with Coq 8.11+alpha.
* This PR stays backward-compatible w.r.t. Coq 8.10 and also keeps the salient
feature of coq/coq#10022 (generalize under & over to any Reflexive relation).
* Related: coq-community/atbr#23
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(namely, [RewriteRelation]s beyond Equivalence ones)
Thanks to @CohenCyril for suggesting this enhancement
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Changes:
* Add ssrclasses.v that redefines [Reflexive] and [iff_Reflexive];
* Add ssrsetoid.v that links
[ssrclasses.Reflexive] and [RelationClasses.Reflexive];
* Add [Require Coq.ssr.ssrsetoid] in Setoid.v;
* Update ssrfwd.ml accordingly, using a helper file ssrclasses.ml that
ports some non-exported material from rewrite.ml;
* Some upside in passing: ssrfwd.ml no more depends on Ltac_plugin;
* Update doc and tests as well.
Summary:
* We can now use the under tactic in two flavors:
- with the [eq] or [iff] relations: [Require Import ssreflect.]
- or a [RewriteRelation]: [Require Import ssreflect. Require Setoid.]
(while [ssreflect] does not require [RelationClasses] nor [Setoid],
and conversely [Setoid] does not require [ssreflect]).
* The file ssrsetoid.v could be skipped when porting under to stdlib2.
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