This PR treats `bif` (aka `cond`) like `if` in functional induction principles. It
introduces the `Bool.dcond` definition, with a docstring indicating that
this is for internal use.
This PR significantly improves the performance of auto-completion by
optimizing individual requests by a factor of ~2 and by giving language
clients like VS Code the opportunity to reuse the state of previous
completion requests, thus greatly reducing the latency for the
auto-completion list to update when adding more characters to an
identifier.
In my testing:
- The latency of completing `C` in a file with `import Mathlib` was
reduced from ~1650ms to ~800ms
- The latency of completing `Cat` in a file with `import Mathlib` was
reduced from ~800ms to ~430ms
- The latency of completing dot notation was mostly unaffected
- Successive completions are now practically instant, e.g. if we were to
complete `C` and then type it out to `Cat`, before it would take roughly
~1650ms + ~800ms, whereas now there is only a significant latency for
completing `C` (~800ms) and the completion list is updated practically
instantly when typing out `Cat`.
<details>
<summary>(Video) Auto-completion latency before this PR</summary>

</details>
<details>
<summary>(Video) Auto-completion latency after this PR</summary>

</details>
In detail, this PR makes the following changes:
- Set `isIncomplete` to `false` in non-synthetic completion responses so
that the client can re-use these completion states.
- Replace the server side fuzzy matching with a simple and fast check
that all characters in the identifier thus far are present in the same
order in the declaration to match against. There are some examples where
the simple and fast check yields a completion item that the fuzzy
matching would filter, but since VS Code filters the completion items
with its own fuzzy matching after that anyways, these extra completion
items are never actually displayed to the user.
- Remove all notions of scoring and sorting completion items from the
language server. We now rely entirely on the client to sort the
completion items as it sees fit. In my testing, the only significant
change as a result of this is that while the language server would
sometimes penalize namespaces with lots of components, VS Code instead
uses a strictly alphabetic order. Even before this change, we never
actually really prioritized local variables over global variables, so
the penalty wasn't very helpful in practice. We might add some small
form of local variable prioritization in the future, though.
- Remove the empty completion list hack that was introduced in #1885. It
does not appear to be necessary anymore.
This PR strips `lib` prefixes and `_shared` suffixes from plugin names.
It also moves most of the dynlib processing code to Lean to make such
preprocessing more standard.
This PR makes `try?` use `fun_induction` instead of `induction … using
foo.induct`. It uses the argument-free short-hand `fun_induction foo` if
that is unambiguous. Avoids `expose_names` if not necessary by simply
trying without first.
This PR implements `fun_induction foo`, which is like `fun_induction foo
x y z`, only that it picks the arguments to use from a unique suitable
call to `foo` in the goal.
This PR follows up on #7103 which changes the generaliziation behavior
of `induction`, to keep `fun_induction` in sync. Also fixes a `Syntax`
indexing off-by-one error.
This PR modifies the `structure` syntax so that parents can be named,
like in
```lean
structure S extends toParent : P
```
**Breaking change:** The syntax is also modified so that the resultant
type comes *before* the `extends` clause, for example `structure S :
Prop extends P`. This is necessary to prevent a parsing ambiguity, but
also this is the natural place for the resultant type. Implements RFC
#7099.
Will need followup PRs for cleanup after a stage0 update.
This PR gives the `induction` tactic the ability to name hypotheses to
use when generalizing targets, just like in `cases`. For example,
`induction h : xs.length` leads to goals with hypotheses `h : xs.length
= 0` and `h : xs.length = n + 1`. Target handling is also slightly
modified for multi-target induction principles: it used to be that if
any target was not a free variable, all of the targets would be
generalized (thus causing free variables to lose their connection to the
local hypotheses they appear in); now only the non-free-variable targets
are generalized.
This gives `induction` the last basic feature of the mathlib
`induction'` tactic, which has been long-requested. Recent Zulip
discussion:
https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/To.20replace.20.60induction'.20h.20.3A.20f.20x.60/near/499482173
This PR tries to remove from functional induction principles hypotheses
that have been matched, as we expect the corresponding pattern to be
more useful. This avoids duplicate hypotheses due to the way `match`
refines hypotheses. Fixes#6281.
This PR moves away from using `List.get` / `List.get?` / `List.get!` and
`Array.get!`, in favour of using the `GetElem` mediated getters. In
particular it deprecates `List.get?`, `List.get!` and `Array.get?`. Also
adds `Array.back`, taking a proof, matching `List.getLast`.
This PR modifies `grind` to run with the `reducible` transparency
setting. We do not want `grind` to unfold arbitrary terms during
definitional equality tests. This PR also fixes several issues
introduced by this change. The most common problem was the lack of a
hint in proofs, particularly in those constructed using proof by
reflection. This PR also introduces new sanity checks when `set_option
grind.debug true` is used.
This PR adds the `fun_induction` and `fun_cases` tactics, which add
convenience around using functional induction and functional cases
principles.
```
fun_induction foo x y z
```
elaborates `foo x y z`, then looks up `foo.induct`, and then essentially
does
```
induction z using foo.induct y
```
including and in particular figuring out which arguments are parameters,
targets or dropped. This only works for non-mutual functions so far.
Likewise there is the `fun_cases` tactic using `foo.fun_cases`.
This PR implements several modifications for the cutsat procedure in
`grind`.
- The maximal variable is now at the beginning of linear polynomials.
- The old `LinearArith.Solver` was deleted, and the normalizer was moved
to `Simp`.
- cutsat first files were created, and basic infrastructure for
representing divisibility constraints was added.
This PR makes `BitVec.getElem` the simp normal form in case a proof is
available and changes `ext` to return `x[i]` + a hypothesis that proves
that we are in-bounds. This aligns `BitVec` further with the API
conventions of the Lean standard datatypes.
We move our proofs to this new normal form, which results in slightly
smaller proofs. With the exception of `getElem_ofFin`, no new API
surface is added as the `getElem` API has already been completed over
the previous months. We also move `getElem_shiftConcat_*` a bit higher
as they are needed in earlier proofs. To keep the changeset small, we do
not update the API of `BVDecide` but insert `←
BitVec.getLsbD_eq_getElem` at the few locations where it is needed.
Finally, we add a simproc for getElem, mirroring the existing ones for
getLsbD/getMsdD.
---------
Co-authored-by: Alex Keizer <alex@keizer.dev>
This PR adds the functions `Poly.denote'`, `RelCnstr.denote'`, and
`DvdCnstr.denote'`. These functions are useful for representing the
denotation of normalized results in `simp +arith` and the `grind`
preprocessor. This PR also adjusts all auxiliary normalization theorems
to use them to represent the normalized constraints. Previously, we were
converting `RelCnstr` and `DvdCnstr` back into raw constraints. While
this overhead was reasonable for `simp +arith`, it is not for the cutsat
procedure, which has no need for raw constraints. All constraints have
already been normalized by the time they reach cutsat.
This PR cleans up the `Int.Linear` module by normalizing function and
type names and adding documentation strings. We will use it to implement
cutsat in the `grind` tactic.
This PR adds helper theorems for normalizing divisibility constraints.
They are going to be used to implement the cutsat procedure in the
`grind` tactic.
This PR modifies the signature pretty printer to add hover information
for parameters in binders. This makes the binders be consistent with the
hovers in pi types.
Suggested by @david-christiansen
This PR adds language server support for request cancellation to the
following expensive requests: Code actions, auto-completion, document
symbols, folding ranges and semantic highlighting. This means that when
the client informs the language server that a request is stale (e.g.
because it belongs to a previous state of the document), the language
server will now prematurely cancel the computation of the response in
order to reduce the CPU load for requests that will be discarded by the
client anyways.
This PR fixes a bug where the goal state selection would sometimes
select incomplete incremental snapshots on whitespace, leading to an
incorrect "no goals" response. Fixes#6594, a regression that was
originally introduced in 4.11.0 by #4727.
The fundamental cause of #6594 was that the snapshot selection would
always select the first snapshot with a range that contains the cursor
position. For tactics, whitespace had to be included in this range.
However, in the test case of #6594, this meant that the snapshot
selection would also sometimes pick a snapshot before the cursor that
still contains the cursor in its whitespace, but which also does not
necessarily contain all the information needed to produce a correct goal
state. Specifically, at the `InfoTree`-level, when the cursor is in
whitespace, we distinguish competing goal states by their level of
indentation. The snapshot selection did not have access to this
information, so it necessarily had to do the wrong thing in some cases.
This PR fixes the issue by adjusting the snapshot selection for goals to
explicitly account for whitespace and indentation, and refactoring the
language processor architecture to thread enough information through to
the snapshot selection so that it can decide which snapshots to use
without having to force too many tasks, which would destroy
incrementality in goal state requests.
Specifically, this PR makes the following adjustments:
- Refactor `SnapshotTask` to contain both a `Syntax` and a `Range`.
Before, `SnapshotTask`s had a single range that was used both for
displaying file progress information and for selecting snapshots in
server requests. For most snapshots, this range did not include
whitespace, though for tactics it did. Now, the `reportingRange` field
of `SnapshotTask` is intended exclusively for reporting file progress
information, and the `Syntax` is used for selecting snapshots in server
requests. Importantly, the `Syntax` contains the full range information
of the snapshot, i.e. its regular range and its range including
whitespace.
- Adjust all call-sites of `SnapshotTask` to produce a reasonable
`Syntax`.
- Adjust the goal snapshot selection to account for whitespace and
indentation, as the `InfoTree` goal selection does.
- Fix a bug in the snapshot tree tracing that would cause it to render
the `Info` of a snapshot at the wrong location when `trace.Elab.info`
was also set.
This PR is based on #6329.
This PR provides a basic API for a premise selection tool, which can be
provided in downstream libraries. It does not implement premise
selection itself!
This PR is a follow-up to #7057 and adds a builtin dsimproc for
`UIntX.ofNatLT` which it turns out we need in stage0 before we can get
the deprecation of `UIntX.ofNatCore` in favor of `UIntX.ofNatLT` off the
ground.
This PR moves the `grind` offset constraint module to the
`Grind/Arith/Offset` subdirectory in preparation to the full linear
integer arithmetic module.
This PR marks several LCNF-specific environment extensions as having an
asyncMode of .sync rather than the default of .mainOnly, so they work
correctly even in async contexts.
This PR adds completes the linear integer inequality normalizer for
`grind`. The missing normalization step replaces a linear inequality of
the form `a_1*x_1 + ... + a_n*x_n + b <= 0` with `a_1/k * x_1 + ... +
a_n/k * x_n + ceil(b/k) <= 0` where `k = gcd(a_1, ..., a_n)`.
`ceil(b/k)` is implemented using the helper `cdiv b k`.