This PR adds lemmas about `UIntX.toBitVec` and `UIntX.ofBitVec` and `^`.
These match the existing lemas for `*`.
After #7887 these can be made true by `rfl`.
This PR ensures `ite` and `dite` are to selected as E-matching patterns.
They are bad patterns because the then/else branches are only
internalized after `grind` decided whether the condition is
`True`/`False`.
The issue reported by #9572 has been fixed, but the fix exposed another
issue. The patterns for `List.Pairwise` produce an unbounded number of
E-matching instances.
```lean
example (l : List α) : l.Pairwise R := by
grind
```
This PR optimizes the proof terms generated by `grind ring`. For
example, before this PR, the kernel took 2.22 seconds (on a M4 Max) to
type-check the proof in the benchmark `grind_ring_5.lean`; it now takes
only 0.63 seconds.
This PR generalizes `Process.output` and `Process.run` with an optional
`String` argument that can be piped to `stdin`.
To date we have been using shims `Process.runCmdWithInput` in Batteries.
This PR changes `Lean.Grind.NoNatZeroDivisors` so that it is
parametrised by a `NatModule` instance rather than just a `HMul`
instance. This is sufficiently general for our purposes, and is a
band-aid (~40% improvement) for the performance problems we've been
seeing coming from inference here. The problems observed in Mathlib may
not see much improvement, however.
This PR corrects the changes to `Lean.Grind.Field` made in #9500.
(The lack of examples of fields in the core repository is a problem! I
guess it is likely that for interval arithmetic we will at least need
`Rat` soon.)
(Almost) only typos in constant names and doc-strings were considered;
grammar was not considered. Also, along others,
`mkDefinitionValInferrringUnsafe` has been fixed :-)
This PR makes `mframe`, `mspec` and `mvcgen` respect hygiene.
Inaccessible stateful hypotheses can now be named with a new tactic
`mrename_i` that works analogously to `rename_i`.
This PR adds a `HPow \a Int \a` field to `Lean.Grind.Field`, and
sufficient axioms to connect it to the operations, so that in future we
can reason about exponents in `grind`. To avoid collisions, we also move
the `HPow \a Nat \a` field in `Semiring` from the extends clause to a
field. Finally, we add some failing tests about normalizing exponents.
This PR makes cdot function expansion take hygiene information into
account, fixing "parenthesis capturing" errors that can make erroneous
cdots trigger cdot expansion in conjunction with macros. For example,
given
```lean
macro "baz% " t:term : term => `(1 + ($t))
```
it used to be that `baz% ·` would expand to `1 + fun x => x`, but now
the parentheses in `($t)` do not capture the cdot. We also fix an
oversight where cdot function expansion ignored the fact that type
ascriptions and tuples were supposed to delimit expansion, and also now
the quotation prechecker ignores the identifier in `hygieneInfo`. (#9491
added the hygiene information to the parenthesis and cdot syntaxes.)
This fixes a bug discovered by [Google
DeepMind](https://storage.googleapis.com/deepmind-media/DeepMind.com/Blog/imo-2024-solutions/P1/index.html),
which made use of `useλy . x=>y.rec λS p=>?_`. The `use` tactic from
Mathlib wrapped the provided term in a type ascription, and so this was
equivalent to `use fun x => λy x x=>y.rec λS p=>?_`. (Note that cdot
function expansion is not able to take into account *where* the cdots
are located, and it is syntactically valid to insert an identifier into
the binder list like this. If we ever want to address this in the
future, we could have cdots expand into a special term that wraps an
identifier that evaluates to a local, but which would cause errors in
other contexts.)
Design note: we put the `hygieneInfo` on the open parenthesis rather
than at the end, since that way the hygiene information is available
even when there are parsing errors. This is important since we rely on
being able to elaborate partial syntax to get elab info (e.g. in `(a.`
to get completion info). Note that syntax matchers check that the
`hygieneInfo` is actually present, so such partial syntax would not be
matched.
This PR improves the `evalInt?` function, which is used to evaluate
configuration parameters from the `ToInt` type class. This PR also adds
a new `evalNat?` function for handling the `IsCharP` type class, and
introduces a configuration option:
```
grind (exp := <num>)
```
This option controls the maximum exponent size considered during
expression evaluation. Previously, `evalInt?` used `whnf`, which could
run out of stack space when reducing terms such as `2^1024`.
closes#9427
This PR adds `binrel%` macros for `!=` and `≠` notation defined in
`Init.Core`. This allows the elaborator to insert coercions on both
sides of the relation, instead of committing to the type on the left
hand side.
I first discovered this bug while working on Brouwer's fixed point
theorem. See the discussion on Zulip at [#lean4 > Elaboration of
`≠` @
💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Elaboration.20of.20.60.E2.89.A0.60/near/526236907).
This PR replaces the proof of the simplification lemma `Nat.zero_mod`
with
`rfl` since it is, by design, a definitional equality. This solves an
issue
whereby the lemma could not be used by the simplifier when in 'dsimp'
mode.
Closes#9389
---------
Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
This PR introduces tactic `mleave` that leaves the `SPred` proof mode by
eta expanding through its abstractions and applying some mild
simplifications. This is useful to apply automation such as `grind`
afterwards.
Relates to #9363.
This PR fixes the behavior of `String.prev`, aligning the runtime
implementation with the reference implementation. In particular, the
following statements hold now:
- `(s.prev p).byteIdx` is at least `p.byteIdx - 4` and at most
`p.byteIdx - 1`
- `s.prev 0 = 0`
- `s.prev` is monotone
Closes#9439
This PR improves the error messages produced by the `split` tactic,
including suggesting syntax fixes and related tactics with which it
might be confused.
Note that, to avoid clashing with the new error message styling
conventions used in these messages, this PR also updates the formatting
of the message produced by `throwTacticEx`.
Closes#6224
This PR updates the formatting of, and adds explanations for, "unknown
identifier" errors as well as "failed to infer type" errors for binders
and definitions.
It attempts to ameliorate some of the confusion encountered in #1592 by
modifying the wording of the "header is elaborated before body is
processed" note and adding further discussion and examples of this
behavior in the corresponding error explanation.
An earlier PR (#9017) replaced certain subarray functions such as
`Subarray.foldl` with generic slice functions `Slice.foldl`. For
backward compatibility reasons, This PR reintroduces `Subarray.foldl`
etc. as aliases for the `Slice` versions.
This PR fixes a performance issue that occurs when generating equation
lemmas for functions that use match-expressions containing several
literals. This issue was exposed by #9322 and arises from a combination
of factors:
1. Literal values are compiled into a chain of dependent if-then-else
expressions.
2. Dependent if-then-else expressions are significantly more expensive
to simplify than regular ones.
3. The `split` tactic selects a target, splits it, and then invokes
`simp` on the resulting subgoals. Moreover, `simp` traverses the entire
goal bottom-up and does not stop after reaching the target.
This PR addresses the issue by introducing a custom simproc that avoids
recursively simplifying nested if-then-else expressions. It does **not**
alter the user-facing behavior of the `split` tactic because such a
change would be highly disruptive. Instead, the PR adds a new flag,
`backward.split` to control the behavior of the user-facing `split`
tactic. It is currently set to `true`, i.e., the old behavior is still
the default one. In a future PR, we should set this flag to `false` by
default and begin repairing all affected proofs.
closes#9322
This PR modifies the encoding from `Nat` to `Int` used in `grind
cutsat`. It is simpler, more extensible, and similar to the generic
`ToInt`. After update stage0, we will be able to delete the leftovers.
This PR uses the `mkCongrSimpForConst?` API in `simp` to reduce the
number of times the same congruence lemma is generated. Before this PR,
`grind` would spend `1.5`s creating congruence theorems during
normalization in the `grind_bitvec2.lean` benchmark. It now spends
`0.6`s. This PR should make an even bigger difference after we merge
#9300.
This PR removes the unnecessary requirement of `BEq α` for
`Array.any_push`, `Array.any_push'`, `Array.all_push`, `Array.all_push'`
as well as `Vector.any_push` and `Vector.all_push`.
This PR replaces the `reduceCtorEq` simproc used in `grind` by a much
more efficient one. The default one use in `simp` is just overhead
because the `grind` normalizer is already normalizing arithmetic.
In a separate PR, we will push performance improvements to the default
`reduceCtorEq`.
This PR optimizes support for `Decidable` instances in `grind`. Because
`Decidable` is a subsingleton, the canonicalizer no longer wastes time
normalizing such instances, a significant performance bottleneck in
benchmarks like `grind_bitvec2.lean`. In addition, the
congruence-closure module now handles `Decidable` instances, and can
solve examples such as:
```lean
example (p q : Prop) (h₁ : Decidable p) (h₂ : Decidable (p ∧ q)) : (p ↔ q) → h₁ ≍ h₂ := by
grind
```
This PR improves the `congr` tactic so that it can handle function
applications with fewer arguments than the arity of the head function.
This also fixes a bug where `congr` could not make progress with
`Set`-valued functions in Mathlib, since `Set` was being unfolded and
making such functions have an apparently higher arity.
This addresses issue #2128 for the `congr` tactic, but not `simp` and
others.
This PR adds theorem `BitVec.clzAuxRec_eq_clzAuxRec_of_getLsbD_false` as
a more general statement than `BitVec.clzAuxRec_eq_clzAuxRec_of_le`,
replacing the latter in the bitblaster too.
This PR makes the logic and tactics of `Std.Do` universe polymorphic, at
the cost of a few definitional properties arising from the switch from
`Prop` to `ULift Prop` in the base case `SPred []`.
Co-authored-by: Sebastian Graf <sg@lean-fro.org>
This PR migrates usages of `Std.Range` to the new polymorphic ranges.
This PR unfortunately increases the transitive imports for
frequently-used parts of `Init` because the ranges now rely on iterators
in order to provide their functionality for types other than `Nat`.
However, iteration over ranges in compiled code is as efficient as
before in the examples I checked. This is because of a special
`IteratorLoop` implementation provided in the PR for this purpose.
There were two issues that were uncovered during migration:
* In `IndPredBelow.lean`, migrating the last remaining range causes
`compilerTest1.lean` to break. I have minimized the issue and came to
the conclusion it's a compiler bug. Therefore, I have not replaced said
old range usage yet (see #9186).
* In `BRecOn.lean`, we are publicly importing the ranges. Making this
import private should theoretically work, but there seems to be a
problem with the module system, causing the build to panic later in
`Init.Data.Grind.Poly` (see #9185).
* In `FuzzyMatching.lean`, inlining fails with the new ranges, which
would have led to significant slowdown. Therefore, I have not migrated
this file either.
This PR extends the `Eq` simproc used in `grind`. It covers more cases
now. It also adds 3 reducible declarations to the list of declarations
to unfold.
