Modifies how the declaration command elaborator reports when there are
unassigned metavariables. The visible effects are that (1) now errors
like "don't know how to synthesize implicit argument" and "failed to
infer 'let' declaration type" take precedence over universe level
issues, (2) universe level metavariables are reported as metavariables
(rather than as `u_1`, `u_2`, etc.), and (3) if the universe level
metavariables appear in `let` binding types or `fun` binder types, the
error is localized there.
Motivation: Reporting unsolved expression metavariables is more
important than universe level issues (typically universe issues are from
unsolved expression metavariables). Furthermore, `let` and `fun` binders
can't introduce universe polymorphism, so we can "blame" such bindings
for universe metavariables, if possible.
Example 1: Now the errors are on `x` and `none` (reporting expression
metavariables) rather than on `example` (which reported universe level
metavariables).
```lean
example : IO Unit := do
let x := none
pure ()
```
Example 2: Now there is a "failed to infer universe levels in 'let'
declaration type" error on `PUnit`.
```lean
def foo : IO Unit := do
let x : PUnit := PUnit.unit
pure ()
```
In more detail:
* `elabMutualDef` used to turn all level mvars into fresh level
parameters before doing an analysis for "hidden levels". This analysis
turns out to be exactly the same as instead creating fresh parameters
for level mvars in only pre-definitions' types and then looking for
level metavariables in their bodies. With this PR, error messages refer
to the same level metavariables in the Infoview, rather than obscure
generated `u_1`, `u_2`, ... level parameters.
* This PR made it possible to push the "hidden levels" check into
`addPreDefinitions`, after the checks for unassigned expression mvars.
It used to be that if the "hidden levels" check produced an "invalid
occurrence of universe level" error it would suppress errors for
unassigned expression mvars, and now it is the other way around.
* There is now a list of `LevelMVarErrorInfo` objects in the `TermElabM`
state. These record expressions that should receive a localized error if
they still contain level metavariables. Currently `let` expressions and
binder types in general register such info. Error messages make use of a
new `exposeLevelMVars` function that adds pretty printer annotations
that try to expose all universe level metavariables.
* When there are universe level metavariables, for error recovery the
definition is still added to the environment after assigning each
metavariable to level 0.
* There's a new `Lean.Util.CollectLevelMVars` module for collecting
level metavariables from expressions.
Closes#2058
A more restrictive but efficient max sharing primitive.
**Motivation:** Some software verification proofs may contain
significant redundancy that can be eliminated using hash-consing (also
known as `shareCommon`). For example, [theorem
`sha512_block_armv8_test_4_sym`](460fe5d74c/Proofs/SHA512/SHA512Sym.lean (L29))
took a few seconds at [`addPreDefinitions`
](1a12f63f74/src/Lean/Elab/PreDefinition/Main.lean (L155))
and one second at `fixLevelParams` on a MacBook Pro (with M1 Pro). The
proof term initially had over 16 million subterms, but the redundancy
was indirectly and inefficiently eliminated using `Core.transform` at
`addPreDefinitions`. I tried to use `shareCommon` method to fix the
performance issue, but it was too inefficient. This PR introduces a new
`shareCommon'` method that, although less flexible (e.g., it uses only a
local cache and hash-consing table), is much more efficient. The new
procedure minimizes the number of RC operations and optimizes the
caching strategy. It is 20 times faster than the old `shareCommon`
procedure for theorem `sha512_block_armv8_test_4_sym`.
Generalizes #3556 to not suppressing errors in tactic steps either when
the parse error is in a later step, as otherwise changes to the end of a
proof would affect (correctness or effectiveness of) incrementality of
preceding steps.
Fixes#4623, in combination with #4643
This implements the `termination_by structural` syntax proposed in
#3909.
I went with `termination_by structural` over, say,
`termination_by (config := {method := .structural})` mainly because it
was
easier to get going (otherwise I’d have to look into how to define
recursive
parsers, as `Parser.config` depends on `term` and `termination_by` is
part of
term. But also because I find it more ergonomic and aesthetic as a user.
But syntax can still change.
The `termination_by?` syntax will no longer force well-founded
recursion,
and instead the inferred `termination_by structurally` annotation will
be shown
if structural termination is possible.
While I was it, this fixes#4546 the easy way (log errors about but
otherwise
ignore incomplete `termination_by` sets for mutual recursion). Maybe we
get
multiple replacements (#4551), but even then this this good behavior.
Involves a bit of shuffling around `TerimationHints` (now validated for
a
clique already by `PreDefinition.main`) and `TerminationArguments` (now
lifted
out of the `WF` namespace, and a bit simplified).
Fixes#3909
---------
Co-authored-by: Richard Kiss <him@richardkiss.com>
When the type of a definition or example is a proposition,
we should elaborate on them as we elaborate on theorems.
This is particularly important for examples that are often
used in educational material.
Recall that when elaborating theorem headers, we convert unassigned
universe metavariables into universe parameters. The motivation is
that the proof of a theorem should not influence its statement.
However, before this commit, this was not the case for definitions and
examples when their type was a proposition. This discrepancy often
confused users.
Additionally, we considered extending the above behavior whenever
the type of a definition is provided. That is, we would keep the
current behavior only if `: <type>` was omitted in a definition.
However, this proved to be too restrictive.
For example, the following instance in `Core.lean` would fail:
```
instance {α : Sort u} [Setoid α] : HasEquiv α :=
⟨Setoid.r⟩
```
and we would have to write instead:
```
instance {α : Sort u} [Setoid α] : HasEquiv.{u, 0} α :=
⟨Setoid.r⟩
```
There are other failures like this in the core, and we assume many more
in Mathlib.
closes#4398
@semorrison @jcommelin: what do you think?
When the type of an `example` is a proposition,
we should elaborate on them as we elaborate on theorems.
This is particularly important for examples that are often
used in educational material.
Recall that when elaborating theorem headers, we convert unassigned
universe metavariables into universe parameters. The motivation is
that the proof of a theorem should not influence its statement.
However, before this commit, this was not the case for examples when
their type was a proposition.
This discrepancy often confused users.
Additionally, we considered extending the above behavior to definitions
when
1- When their type is a proposition. However, it still caused disruption
in Mathlib.
2- When their type is provided. That is, we would keep the current
behavior only if `: <type>` was omitted. This would make the elaborator
for `def` much closer to the one for `theorem`, but it proved to be too
restrictive.
For example, the following instance in `Core.lean` would fail:
```
instance {α : Sort u} [Setoid α] : HasEquiv α :=
⟨Setoid.r⟩
```
and we would have to write instead:
```
instance {α : Sort u} [Setoid α] : HasEquiv.{u, 0} α :=
⟨Setoid.r⟩
```
There are other failures like this in the core, and we assume many more
in Mathlib.
closes#4398closes#4482 Remark: PR #4482 implements option 1 above. We may consider
it again in the future.
As [reported on
Zulip](https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/maybe.20a.20cache.20bug.3F).
We expected that for sound reuse of elaboration results, it is
sufficient to compare the old and new syntax tree's structure and atoms
including position info, but not the whitespace in between them.
However, we have at least one request handler, the goal view, that
inspects the whitespace after a tactic and thus could return incorrect
results on reuse. For now we implement the straightforward fix of
checking the whitespace as well. Alternatives like updating the
whitespace stored in the reused info tree are tbd.
This has the slight disadvantage that adding whitespace at the end of a
tactic will re-execute it (or the entire body, but not the header, if
the body is not a tactic block), but only up to typing the first
character of the next tactic or command.
The `save` happened in a slightly different context from the restore,
which a refinement of the `saveOrRestoreFull` signature now makes
impossible.
Fixes#4328
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>
- Add support for reserved declaration names. We use them for theorems
generated on demand.
- Equation theorems are not private declarations anymore.
- Generate equation theorems on demand when resolving symbols.
- Prevent users from creating declarations using reserved names. Users
can bypass it using meta-programming.
See next test for examples.
Enables the combination of `noncomputable unsafe` to be used for
definitions. Outside of pure theory, `noncomputable` is also useful to
prevent Lean from compiling a definition which will be implemented with
external code later. Such definitions may also wish to be marked
`unsafe` if they perform morally impure or memory-unsafe functions.
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.