This PR replaces all usages of `[:]` slice notation in `src` with the
new `[...]` notation in production code, tests and comments. The
underlying implementation of the `Subarray` functions stays the same.
Notation cheat sheet:
* `*...*` is the doubly-unbounded range.
* `*...a` or `*...<a` contains all elements that are less than `a`.
* `*...=a` contains all elements that are less than or equal to `a`.
* `a...*` contains all elements that are greater than or equal to `a`.
* `a...b` or `a...<b` contains all elements that are greater than or
equal to `a` and less than `b`.
* `a...=b` contains all elements that are greater than or equal to `a`
and less than or equal to `b`.
* `a<...*` contains all elements that are greater than `a`.
* `a<...b` or `a<...<b` contains all elements that are greater than `a`
and less than `b`.
* `a<...=b` contains all elements that are greater than `a` and less
than or equal to `b`.
Benchmarks have shown that importing the iterator-backed parts of the
polymorphic slice library in `Init` impacts build performance. This PR
avoids this problem by separating those parts of the library that do not
rely on iterators from those those that do. Whereever the new slice
notation is used, only the iterator-independent files are imported.
This PR introduces an explicit `defeq` attribute to mark theorems that
can be used by `dsimp`. The benefit of an explicit attribute over the
prior logic of looking at the proof body is that we can reliably omit
theorem bodies across module boundaries. It also helps with intra-file
parallelism.
If a theorem is syntactically defined by `:= rfl`, then the attribute is
assumed and need not given explicitly. This is a purely syntactic check
and can be fooled, e.g. if in the current namespace, `rfl` is not
actually “the” `rfl` of `Eq`. In that case, some other syntax has be
used, such as `:= (rfl)`. This is also the way to go if a theorem can be
proved by `defeq`, but one does not actually want `dsimp` to use this
fact.
The `defeq` attribute will look at the *type* of the declaration, not
the body, to check if it really holds definitionally. Because of
different reduction settings, this can sometimes go wrong. Then one
should also write `:= (rfl)`, if one does not want this to be a defeq
theorem. (If one does then this is currently not possible, but it’s
probably a bad idea anyways).
The `set_option debug.tactic.simp.checkDefEqAttr true`, `dsimp` will
warn if could not apply a lemma due to a missing `defeq` attribute.
With `set_option backward.dsimp.useDefEqAttr.get false` one can revert
to the old behavior of inferring rfl-ness based on the theorem body.
Both options will go away eventually (too bad we can’t mark them as
deprecated right away, see #7969)
Meta programs that generate theorems (e.g. equational theorems) can use
`inferDefEqAttr` to set the attribute based on the theorem body of the
just created declaration.
This builds on #8501 to update Init to `@[expose]` a fair amount of
definitions that, if not exposed, would prevent some existing `:= rfl`
theorems from being `defeq` theorems. In the interest of starting
backwards compatible, I exposed these function. Hopefully many can be
un-exposed later again.
A mathlib adaption branch exists that includes both the meta programming
fixes and changes to the theorems (e.g. changing `:= by rfl` to `:=
rfl`).
With the module system there is now no special handling for `defeq`
theorem bodies, because we don’t look at the body anymore. The previous
hack is removed. The `defeq`-ness of the theorem needs to be checked in
the context of the theorem’s *type*; the error message contains a hint
if the defeq check fails because of the exported context.
This PR adds preliminary support for inlay hints, as well as support for
inlay hints that denote the auto-implicits of a function. Hovering over
an auto-implicit displays its type and double-clicking the auto-implicit
inserts it into the text document.
This PR is an extension of #3910.
### Known issues
- In VS Code, when inserting an inlay hint, the inlay hint may linger
for a couple of seconds before it disappears. This is a defect of the VS
Code implementation of inlay hints and cannot adequately be resolved by
us.
- When making a change to the document, it may take a couple of seconds
until the inlay hints respond to the change. This is deliberate and
intended to reduce the amount of inlay hint flickering while typing. VS
Code has a mechanism of its own for this, but in my experience it is
still far too sensitive without additional latency.
- Inserting an auto-implicit inlay hint that depends on an auto-implicit
meta-variable causes a "failed to infer binder type" error. We can't
display these meta-variables in the inlay hint because they don't have a
user-displayable name, so it is not clear how to resolve this problem.
- Inlay hints are currently always resolved eagerly, i.e. we do not
support the `textDocument/inlayHint/resolve` request yet. Implementing
support for this request is future work.
### Other changes
- Axioms did not support auto-implicits due to an oversight in the
implementation. This PR ensures they do.
- In order to reduce the amount of inlay hint flickering when making a
change to the document, the language server serves old inlay hints for
parts of the file that have not been processed yet. This requires LSP
request handler state (that sometimes must be invalidated on
`textDocument/didChange`), so this PR introduces the notion of a
stateful LSP request handler.
- The partial response mechanism that we use for semantic tokens, where
we simulate incremental LSP responses by periodically emitting refresh
requests to the client, is generalized to accommodate both inlay hints
and semantic tokens. Additionally, it is made more robust to ensure that
we never emit refresh requests while a corresponding request is in
flight, which causes VS Code to discard the respond of the request, as
well as to ensure that we keep prompting VS Code to send another request
if it spuriously decides not to respond to one of our refresh requests.
- The synthetic identifier of an `example` had the full declaration as
its (non-canonical synthetic) range. Since we need a reasonable position
for the identifier to insert an inlay hint for the auto-implicits of an
`example`, we change the (canonical synthetic) range of the synthetic
identifier to that of the `example` keyword.
- The semantic highlighting request handling is moved to a separate
file.
### Breaking changes
- The semantic highlighting request handler is not a pure request
handler anymore, but a stateful one. Notably, this means that clients
that extend the semantic highlighting of the Lean language server with
the `chainLspRequestHandler` function must now use the
`chainStatefulLspRequestHandler` function instead.
This PR adds a feature to the the mutual def elaborator where the
`instance` command yields theorems instead of definitions when the class
is a `Prop`.
Closes#5672
Extends Lean's incremental reporting and reuse between commands into
various steps inside declarations:
* headers and bodies of each (mutual) definition/theorem
* `theorem ... := by` for each contained tactic step, including
recursively inside supported combinators currently consisting of
* `·` (cdot), `case`, `next`
* `induction`, `cases`
* macros such as `next` unfolding to the above
*Incremental reuse* means not recomputing any such steps if they are not
affected by a document change. *Incremental reporting* includes the
parts seen in the recording above: the progress bar and messages. Other
language server features such as hover etc. are *not yet* supported
incrementally, i.e. they are shown only when the declaration has been
fully processed as before.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
Implements a new method to generate instance names for anonymous
instances that uses a heuristic that tends to produce shorter names. A
design goal is to make them relatively unique within projects and
definitely unique across projects, while also using accessible names so
that they can be referred to as needed, both in Lean code and in
discussions.
The new method also takes into account binders provided to the instance,
and it adds project-based suffixes. Despite this, a median new name is
73% its original auto-generated length. (Compare: [old generated
names](https://gist.github.com/kmill/b72bb43f5b01dafef41eb1d2e57a8237)
and [new generated
names](https://gist.github.com/kmill/393acc82e7a8d67fc7387829f4ed547e).)
Some notes:
* The naming is sensitive to what is explicitly provided as a binder vs
what is provided via a `variable`. It does not make use of `variable`s
since, when names are generated, it is not yet known which variables are
used in the body of the instance.
* If the instance name refers to declarations in the current "project"
(given by the root module), then it does not add a suffix. Otherwise, it
adds the project name as a suffix to protect against cross-project
collisions.
* `set_option trace.Elab.instance.mkInstanceName true` can be used to
see what name the auto-generator would give, even if the instance
already has an explicit name.
There were a number of instances that were referred to explicitly in
meta code, and these have been given explicit names.
Removes the unused `Lean.Elab.mkFreshInstanceName` along with the
Command state's `nextInstIdx`.
Fixes#2343
This change
* moves `termination_by` and `decreasing_by` next to the function they
apply to
* simplify the syntax of `termination_by`
* apply the `decreasing_by` goal to all goals at once, for better
interactive use.
See the section in `RELEASES.md` for more details and migration advise.
This is a hard breaking change, requiring developers to touch every
`termination_by` in their code base. We decided to still do it as a
hard-breaking change, because supporting both old and new syntax at the
same time would be non-trivial, and not save that much. Moreover, this
requires changes to some metaprograms that developers might have
written, and supporting both syntaxes at the same time would make
_their_ migration harder.
We are considering removing `.` as an alternative for `·` in the
lambda dot notation (e.g., `(·+·)`).
Reasons:
- `.` is not a perfect replacement for `·` (e.g., `(·.insert ·)`)
- `.` is too overloaded: `(f.x)` and `(f .x)` and `(f . x)`. We want to keep the first two.
