This PR removes uses of `Lean.RBMap` in Lean itself.
Furthermore some massaging of the import graph is done in order to avoid
having `Std.Data.TreeMap.AdditionalOperations` (which is quite
expensive) be the critical path for a large chunk of Lean. In particular
we can build `Lean.Meta.Simp` and `Lean.Meta.Grind` without it thanks to
these changes.
We did previously not conduct this change as `Std.TreeMap` was not
outperforming `Lean.RBMap` yet, however this has changed with the new
code generator.
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 implements first-class support for nondependent let expressions
in the elaborator; recall that a let expression `let x : t := v; b` is
called *nondependent* if `fun x : t => b` typechecks, and the notation
for a nondependent let expression is `have x := v; b`. Previously we
encoded `have` using the `letFun` function, but now we make use of the
`nondep` flag in the `Expr.letE` constructor for the encoding. This has
been given full support throughout the metaprogramming interface and the
elaborator. Key changes to the metaprogramming interface:
- Local context `ldecl`s with `nondep := true` are generally treated as
`cdecl`s. This is because in the body of a `have` expression the
variable is opaque. Functions like `LocalDecl.isLet` by default return
`false` for nondependent `ldecl`s. In the rare case where it is needed,
they take an additional optional `allowNondep : Bool` flag (defaults to
`false`) if the variable is being processed in a context where the value
is relevant.
- Functions such as `mkLetFVars` by default generalize nondependent let
variables and create lambda expressions for them. The
`generalizeNondepLet` flag (default true) can be set to false if `have`
expressions should be produced instead. **Breaking change:** Uses of
`letLambdaTelescope`/`mkLetFVars` need to use `generalizeNondepLet :=
false`. See the next item.
- There are now some mapping functions to make telescoping operations
more convenient. See `mapLetTelescope` and `mapLambdaLetTelescope`.
There is also `mapLetDecl` as a counterpart to `withLetDecl` for
creating `let`/`have` expressions.
- Important note about the `generalizeNondepLet` flag: it should only be
used for variables in a local context that the metaprogram "owns". Since
nondependent let variables are treated as constants in most cases, the
`value` field might refer to variables that do not exist, if for example
those variables were cleared or reverted. Using `mapLetDecl` is always
fine.
- The simplifier will cache its let dependence calculations in the
nondep field of let expressions.
- The `intro` tactic still produces *dependent* local variables. Given
that the simplifier will transform lets into haves, it would be
surprising if that would prevent `intro` from creating a local variable
whose value cannot be used.
Note that nondependence of lets is not checked by the kernel. To
external checker authors: If the elaborator gets the nondep flag wrong,
we consider this to be an elaborator error. Feel free to typecheck `letE
n t v b true` as if it were `app (lam n t b default) v` and please
report issues.
This PR follows up from #8751, which made sure the nondep flag was
preserved in the C++ interface.
This PR implements a `finally` section following a (potentially empty)
`where` block. `where ... finally` opens a tactic sequence block in
which the goals are the unassigned metavariables from the definition
body and its auxiliary definitions that arise from use of `let rec` and
`where`.
This can be useful for discharging multiple proof obligations in the
definition body by a single invocation of a tactic such as `all_goals`:
```lean
example (i j : Nat) (xs : Array Nat) (hi : i < xs.size) (hj: j < xs.size) :=
match i with
| 0 => x
| _ => xs[i]'?_ + xs[j]'?_
where x := 13
finally all_goals assumption
```
---------
Co-authored-by: Sebastian Graf <sg@lean-fro.org>
This PR adds the `nondep` field of `Expr.letE` to the C++ data model.
Previously this field has been unused, and in followup PRs the
elaborator will use it to encode `have` expressions (non-dependent
`let`s). The kernel does not verify that `nondep` is correctly applied
during typechecking. The `letE` delaborator now prints `have`s when
`nondep` is true, though `have` still elaborates as `letFun` for now.
Breaking change: `Expr.updateLet!` is renamed to `Expr.updateLetE!`.
This PR also fixes a bug in `Expr.letFun?` and `Expr.letFunAppArgs?`
when the body is not a lambda. In any case, these functions will be
removed once the `Expr.letE (nondep := true)` encoding of `have`
expressions is complete.
This PR ensures that names suggested by tactics like `simp?` are not
shadowed by auxiliary declarations in the local context and that names
of `let rec` and `where` declarations are correctly resolved in tactic
blocks.
This PR contains the following potentially breaking changes:
* Moves the `auxDeclToFullName` map from `TermElab.Context` to
`LocalContext`.
* Refactors `Lean.Elab.Term.resolveLocalName : Name → TermElabM …` to
`Lean.resolveLocalName [MonadResolveName m] [MonadEnv m] [MonadLCtx m] :
Name → m …`.
* Refactors the `TermElabM` action `Lean.Elab.Term.withAuxDecl` to a
monad-polymorphic action `Lean.Meta.withAuxDecl`.
* Adds an optional `filter` argument to `Lean.unresolveNameGlobal`.
Closes#6706, closes#7073.
This PR modifies the signature of the functions `Nat.fold`,
`Nat.foldRev`, `Nat.any`, `Nat.all`, so that the function is passed the
upper bound. This allows us to change runtime array bounds checks to
compile time checks in many places.
This PR does the same fix as #6104, but such that it doesn't break the
test/the file in `Plausible`. This is done by not creating unused let
binders in metavariable types that are made by `elimMVar`. (This is also
a positive thing for users looking at metavariable types, for example in
error messages)
We get rid of `skipAtMostNumBinders`. This function was originally
defined for the purpose of making this test work, but it is a hack
because it allows cycles in the metavariable context.
It would make sense to split these changes into 2 PRs, but I combined
them here to show that the combination of them closes#6013 without
breaking anything
Closes#6013
This PR replaces `Array.feraseIdx` and `Array.insertAt` with
`Array.eraseIdx` and `Array.insertIdx`, both of which take a `Nat`
argument and a tactic-provided proof that it is in bounds. We also have
`eraseIdxIfInBounds` and `insertIdxIfInBounds` which are noops if the
index is out of bounds. We also provide a `Fin` valued version of
`Array.findIdx?`. Together, these quite ergonomically improve the array
indexing safety at a number of places in the compiler/elaborator.
This PR removes
- a duplicate `MonadMCtx` instance in `MetavarContext.lean`
- `:= return ←` that I had left there accidentally in a previous PR.
- the unnecessary application of `mapMetaM` in `withTransparency`.
I made a modification to the `mkLambdaFVars` function, adding a
`etaReduce : Bool` parameter that determines whether a new lambda of the
form `fun x => f x` should be replaced by `f`. I then set this option to
true at `isDefEq` when processing metavariable assignments.
This means that many unnecessary eta unreduced expression are now
reduced. This is beneficial for users, so that they do not have to deal
with such unreduced expressions. It is also beneficial for performance,
leading to a 0.6% improvement in build instructions. Most notably,
`Mathlib.Algebra.DirectLimit`, previously a top 50 slowest file, has
sped up by 40%.
Quite a number of proof in mathlib broke. Many of these involve removing
a now unnecessary `simp only`. In other cases, a simp or rewrite doesn't
work anymore, such as a `simp_rw [mul_comm]` that was used to rewrite
`fun x => 2*x`, but now this term has turned into `HMul.hMul 2`.
Closes#4386
Closes#4375
The following example raises `error: (kernel) declaration has free
variables '_example'`:
```lean
example: Nat → Nat :=
let a : Nat := Nat.zero
fun (_ : Nat) =>
let b : Nat := Nat.zero
(fun (_ : a = b) => 0) (Eq.refl a)
```
During elaboration of `0`, `elabNumLit` creates a synthetic mvar
`?_uniq.16` which gets abstracted by `elabFun` to `?_uniq.16 :=
?_uniq.50 _uniq.6 _uniq.12`. The `isDefEq` to `instOfNatNat 0` results
in:
```
?_uniq.50 :=
fun (x._@.4375._hyg.13 : Nat) =>
let b : Nat := Nat.zero
fun (x._@.4375._hyg.23 : Eq.{1} Nat _uniq.4 b) =>
instOfNatNat 0
```
This has a free variable `_uniq.4` which was `a`.
When the application of `?_uniq.50` to `#[#2, #0]` is instantiated, the
`let b : Nat := Nat.zero` blocks the beta-reduction and `_uniq.4`
remains in the expression.
fix: add `(useZeta := true)` here:
ea46bf2839/src/Lean/MetavarContext.lean (L567)
I found the documentation page hard to parse, so I figured I should fix
this. It's mostly indentation (e.g. in lists), some line breaks and
making URLs clickable.
* doc: Add explanations to MetavarContext
The explanations were taken from Leo's talk at the ICERM
Mathlib porting hackathon.
* Update src/Lean/MetavarContext.lean
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
* add my understanding of what LocalInstances represents
* Update src/Lean/MetavarContext.lean
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
Co-authored-by: Leonardo de Moura <leonardo@microsoft.com>
* doc: Add explanations to MetavarContext
The explanations were taken from Leo's talk at the ICERM
Mathlib porting hackathon.
* doc: Add documentation for Declaration
This is explanations taken from Leo's talk given
at the post ICERM Mathlib porting hackathon.
* Update src/Lean/Declaration.lean
Co-authored-by: Scott Morrison <scott@tqft.net>
* Update src/Lean/Declaration.lean
Co-authored-by: Scott Morrison <scott@tqft.net>
* Update src/Lean/MetavarContext.lean
Co-authored-by: Scott Morrison <scott@tqft.net>
* fix depth comment
Co-authored-by: Scott Morrison <scott@tqft.net>
We don't try to reuse the cache contents between different `isDefEq`
calls. Thus, we can cache more results and ignore whether the state of
the metavariable context affects them or not.
Closes#1102