The `simp` tactic uses a discrimination tree to select candidate
theorems that will be used to rewrite an expression. This indexing data
structure minimizes the number of theorems that need to be tried and
improves performance. However, indexing modulo reducibility is
challenging, and a theorem that could be applied, when taking reduction
into account, may be missed. For example, suppose we have a `simp`
theorem `foo : forall x y, f x (x, y).2 = y`, and we are trying to
simplify the expression `f a b <= b`. `foo` will not be tried by `simp`
because the second argument of `f a b` is not a projection of a pair.
However, `f a b` is definitionally equal to `f a (a, b).2` since we can
reduce `(a, b).2`.
In Lean 3, we had a much simpler indexing data structure where only the
head symbol was taken into account. For the theorem `foo`, the head
symbol is `f`. Thus, the theorem would be considered by `simp`.
This commit adds the option `Simp.Config.index`. When `simp (config := {
index := false })`, only the head symbol is considered when retrieving
theorems, as in Lean 3. Moreover, if `set_option diagnostics true`,
`simp` will check whether every applied theorem would also have been
applied if `index := true`, and report them. This feature can help users
diagnose tricky issues in code that has been ported from libraries
developed using Lean 3 and then ported to Lean 4. In the following
example, it will report that `foo` is a problematic theorem.
```lean
opaque f : Nat → Nat → Nat
@[simp] theorem foo : f x (x, y).2 = y := by sorry
example : f a b ≤ b := by
set_option diagnostics true in
simp (config := { index := false })
```
In the example above, the following diagnostic message is produced.
```lean
[simp] theorems with bad keys
foo, key: [f, *, Prod.1, Prod.mk, Nat, Nat, *, *]
```
With the information above, users can annotate theorems such as `foo`
using `no_index` for problematic subterms.
Example:
```lean
opaque f : Nat → Nat → Nat
@[simp] theorem foo : f x (no_index (x, y).2) = y := by sorry
example : f a b ≤ b := by
simp -- `foo` is still applied
```
cc @semorrison
cc @PatrickMassot
Because of the last-added-tried-first rule for macros, all the special
purpose `decreasing_trivial` rules are tried for most recursive
definitions out there, and because they use `apply` and `assumption`
with default transparency may cause some definitoins to be unfolded over
and over again.
A quick test with one of the functions in the leansat project shows that
elaboration time goes down from 600ms to 375ms when using
```
decreasing_by all_goals decreasing_with with_reducible decreasing_trivial
```
instead of
```
decreasing_by all_goals decreasing_with decreasing_trivial
```
This change uses `with_reducible` in most of these macros.
This means that these tactics will no longer work when the
relations/definitions they look for is hidden behind a definition.
This affected in particular `Array.sizeOf_get`, which now has a
companion `sizeOf_getElem`.
In addition, there were three tactics using `apply` to apply Nat-related
lemmas
that we now expect `omega` to solve. We still need them when building
`Init` modules
that don’t have access to `omega`, but they now live in
`decreasing_trivial_pre_omega`,
meant to be only used internally.
previously, the empty `MessageData` (`m!""`) was used to indicate “no
message”, and `throwTacticEx` would format the message differently then.
But the semantics of `MessageData.isEmpty` isn't entirely clear in the
presence of lazy message data (e.g. `.ofPPFormat`).
So to avoid wondering what `isEmpty` should do there, let's simply use
an optional argument to `throwTacticEx` and get rid of
`MessageData.isEmpty`.
Rather than adding symm hypotheses to the local context, it now adds
them to the list of hypotheses derived from the local context.
This is not ideal for performance reasons, but it at least closes#3922.
In the future, solveByElim could maintain its own cache of facts that it
updates whenever it does intro.
* Replaces the unused `Lean.PrettyPrinter.ppConst` with
`MessageData.ofConst` (which similarly avoids an unnecessary `@`) and
that further generates a hover for the constant
* Uses this in `TryThis.addRewriteSuggestion`, so that `rw?` suggestions
don't have unnecessary `@`s.
* Add `MessageData.signature`, as a wrapper around
`PrettyPrinter.signature`, using the same machinery to generate hovers
for constants, improving the hover behaviour in #check so that we get
second order pop-up for constants in the signature. (Not sure how to
write tests for second order hovers, so there is no test for this.)
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
As a special case, makes the `rcases` machinery use `Nat.casesAuxOn` so
that goal states see `0` and `n + 1` rather than `Nat.zero` and
`Nat.succ n`. This is a followup to enabling custom eliminators for
`cases` and `induction`.
This doesn't use custom eliminators in general since `rcases` uses
`Lean.MVarId.cases`, which is completely different from what `cases` and
`induction` use.
This changes how Nat typeclass checks in offset terms from syntactic
equality to definitional equality with "instances" transparency.
This may have a negative performance penalty in `isOffset?`, but it
should be small in common cases since the relevant instances are small
terms.
This closes#3836
This removes simp attributes from `Nat.succ.injEq` and
`Nat.succ_sub_succ_eq_sub` to replace them with simprocs. This is
because any reductions involving `Nat.succ` has a high risk of leading
proof performance problems when dealing with even moderately large
numbers.
Here are a couple examples that will both report a maximum recursion
depth error currently. These examples are fixed by this PR.
```
example : (123456: Nat) = 12345667 := by
simp
example (x : Nat) (p : x = 0) : 1000 - (x + 1000) = 0 := by
simp
```
When `discharge?` failed, the `usedSimps` was being restored, but the
cache wasn't. This bug was exposed by issue #3710.
This PR makes the following changes:
- We restore the `cache` at `discharge?`. We use `SMap` to ensure the
operation is efficient.
- We don't need the field `dischargeDepth` anymore at `Simp.Result`.
- `UsedSimps` should use `PHashMap` since it is not used linearly.
closes#3710
---------
Co-authored-by: Mario Carneiro <di.gama@gmail.com>
Now, only `(<- ...)`s occurring in the condition of a pure if-then-else
are lifted.
That is, `if (<- foo) then ... else ...` is ok, but `if ... then (<-
foo) else ...` is not. See #3713closes#3713
This PR also adjusts this repo. Note that some of the `(<- ...)` were
harmless since they were just accessing some
read-only state.
When it was upstreamed, it lost the mention of "revert/intro pattern",
which is helpful for finding this function. Also extended the
description of the function and clarified some points.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
Previously:
If the `rfl` macro was going to fail, it would:
1. expand to `eq_refl`, which is implemented by
`Lean.Elab.Tactic.evalRefl`, and call `Lean.MVarId.refl` which would:
* either try kernel defeq (if in `.default` or `.all` transparency mode)
* otherwise try `IsDefEq`
* then fail.
2. Next expand to the `apply_rfl` tactic, which is implemented by
`Lean.Elab.Tactic.Rfl.evalApplyRfl`, and call `Lean.MVarId.applyRefl`
which would look for lemmas labelled `@[refl]`, and unfortunately in
Mathlib find `Eq.refl`, so try applying that (resulting in another
`IsDefEq`)
3. Because of an accidental duplication, if `Lean.Elab.Tactic.Rfl` was
imported, it would *again* expand to `apply_rfl`.
Now:
1. Same behaviour in `eq_refl`.
2. The `@[refl]` attribute will reject `Eq.refl`, and `MVarId.applyRefl`
will fail when applied to equality goals.
3. The duplication has been removed.
[Before](https://github.com/leanprover/lean4/files/14772220/oi.pdf) and
[after](https://github.com/leanprover/lean4/files/14772226/oi2.pdf).
This gets `ByteArray`, `String.Extra`, `ToString.Macro` and `RCases` out
of the imports of `omega`. I'd hoped to get `Array.Subarray` too, but
it's tangled up in the list literal syntax. Further progress could come
from make `split` use available `Decidable` instances, so we could pull
out `Classical` (and possibly some of `PropLemmas`).
I think this was in error in my original Mathlib implementation. We're
not interested in relations other than `=`, so there is no point uses
`MVarId.applyRfl`, which just looks up `@[refl]` tagged lemmas and tries
those.
In a separate PR, I will change `MVarId.applyRfl` so it has a flag to
control whether on `=` it should just hand-off to `MVarId.refl`, or
fail. Failure is appropriate in the version we call from the `rfl`
macro, to avoid doing a double `IsDefEq` check on every `rfl`!
This makes several changes to rw? and lazy discrimination trees based on
test failures in rewrite search.
Changes include:
1. Reverting to Mathlib function for candidate lemma priority in rw?
2. Introducing additional filters for auto-generated named in lazy
discriminator tree.
3. Refactoring lazy discriminator values to clarify what is stored.
4. Including star keys in calculation of match closeness in
prioritization.
5. Using more fields in current core context when initializing lazy
discriminator tree and avoiding max heartbeat issues.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
no need to enter `derive_functional_induction` anymore.
(Will remove the support for `derive_functional_induction` after the
next stage0 update, since we are already using it in Init.)
This extends `derive_functional_induction` to work with structural
recursion as well.
It produces the less general, more concrete induction rule where the
induction hypothesis is
specialized for every argument of the recursive call, not just the the
one that the function
is recursing on.
Care is taken so that the induction principle and it's motive take the
arguments in the same
order as the original function.
While I was it, also makes sure that the order of the cases in the
induction principle matches
the order of recursive calls in the function better.
---------
Co-authored-by: David Thrane Christiansen <david@davidchristiansen.dk>
Co-authored-by: Leonardo de Moura <leomoura@amazon.com>
This updates the rw? tactic from Mathlib to use lazy discriminator trees
and upstreams it.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
This coercion caused difficult-to-diagnose bugs sometimes. Because there
are some situations where converting a string to a name should be done
by parsing the string, and others where it should not, an explicit
choice seems better here.
---------
Co-authored-by: Mac Malone <tydeu@hatpress.net>
This is a rewrite of the `UnusedVariables` lint to inline and simplify
many of the dependent functions to try to improve the performance of
this lint, which quite often shows up in perf reports.
* The mvar assignment scanning is one of the most expensive parts of the
process, so we do two things to improve this:
* Lazily perform the scan only if we need it
* Use an object-pointer hashmap to ensure that we don't have quadratic
behavior when there are many mvar assignments with slight differences.
* The dependency on `Lean.Server` is removed, meaning we don't need to
do the LSP conversion stuff anymore. The main logic of reference finding
is inlined.
* We take `fvarAliases` into account, and union together fvars which are
aliases of a base fvar. (It would be great if we had `UnionFind` here.)
More docs will be added once we confirm an actual perf improvement.
---------
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
