This PR adds `@[suggest_for]` annotations to Lean, allowing lean to
provide corrections for `.every` or `.some` methods in place of `.all`
or `.any` methods for most default-imported types (arrays, lists,
strings, substrings, and subarrays, and vectors).
Due to the need for stage0 updates for new annotations, the
`suggest_for` annotation itself was introduced in previous PRs: #11367,
#11529, and #11590.
## Example
```
example := "abc".every (! ·.isWhitespace)
```
Error message:
```
Invalid field `every`: The environment does not contain `String.every`, so it is not possible to project the field `every` from an expression
"abc"
of type `String`
Hint: Perhaps you meant `String.all` in place of `String.every`:
.e̵v̵e̵r̵y̵a̲l̲l̲
```
(the hint is added by this PR)
## Additional changes
Adds suggestions that are not currently active but that can be used to
generate autocompletion suggestions in the reference manual:
- `Either` -> `Except` and `Sum`
- `Exception` -> `Except`
- `ℕ` -> `Nat`
- `Nullable` -> `Option`
- `Maybe` -> `Option`
- `Optional` -> `Option`
- `Result` -> `Except`
This PR changes the interface of the `ForIn`, `ForIn'`, and `ForM`
typeclasses to not take a `Monad m` parameter. This is a breaking change
for most downstream `instance`s, which will will now need to assume
`[Monad m]`.
The rationale is that if the provider of an instance requires `m` to be
a Monad, they should assume this up front. This makes it possible for
the instanve to assume `LawfulMonad m` or some other stronger
requirement, and also to provided a concrete instance for a particular
`m` without assuming a non-canonical `Monad` structure on it.
Zulip: [#lean4 > Monad assumptions in fields of other typeclasses @
💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Monad.20assumptions.20in.20fields.20of.20other.20typeclasses/near/537102158)
This PR adds `Std.Tricho r`, a typeclass for relations which identifies
them as trichotomous. This is preferred to `Std.Antisymm (¬ r · ·)` in
all cases (which it is equivalent to).
This PR renames `Substring` to `Substring.Raw`.
This is to signify its status as a second-class citizen (not deprecated,
but no real plans for verification, like `String.Pos.Raw`) and to free
up the name `Substring` for a possible future type `String.Substring :
String -> Type` so that `s.Substring` is the type of substrings of `s`.
The functions `String.toSubstring` and `String.toSubstring'` will remain
for now for bootstrapping reasons.
This PR inlines several Decidable instances for performance reasons.
Unlike the previous #10934 it does not attempt to also simplify the
Decidable instance system as
that has proven to have non trivial performance impact.
Co-authored-by: Rob23oba <152706811+Rob23oba@users.noreply.github.com>
This PR adds inline annotations to several `Decidable` instances.
Additionally, it removes the `Decidable` instance for `p → q` which is
made redundant by `forall_prop_decidable`.
This PR redefines `String` to be the type of byte arrays `b` for which
`b.IsValidUtf8`.
This moves the data model of strings much closer to the actual data
representation at runtime.
In the near future, we will
- provide variants of `String.Pos` and `Substring` that only allow for
valid positions
- redefine all `String` functions to be much closer to their C++
implementations
In the near-to-medium future we will then provide comprehensive
verification of `String` based on these refactors.
This PR generates `.ctorIdx` functions for all inductive types, not just
enumeration types. This can be a building block for other constructions
(`BEq`, `noConfusion`) that are size-efficient even for large
inductives.
It also renames it from `.toCtorIdx` to `.ctorIdx`, which is the more
idiomatic naming.
The old name exists as an alias, with a deprecation attribute to be
added after the next
stage0 update.
These functions can arguably compiled down to a rather efficient tag
lookup, rather than a `case` statement. This is future work (but
hopefully near future).
For a fair number of basic types the compiler is not able to compile a
function using `casesOn` until further definitions have been defined.
This therefore (ab)uses the `genInjectivity` flag and
`gen_injective_theorems%` command to also control the generation of this
construct.
For (slightly) more efficient kernel reduction one could use `.rec`
rather than `.casesOn`. I did not do that yet, also because it
complicates compilation.
This PR makes `IsPreorder`, `IsPartialOrder`, `IsLinearPreorder` and
`IsLinearOrder` extend `BEq` and `Ord` as appropriate, adds the
`LawfulOrderBEq` and `LawfulOrderOrd` typeclasses relating `BEq` and
`Ord` to `LE`, and adds many lemmas and instances.
Note: This PR contains a refactoring where `Init.Data.Ord` is moved to
`Init.Data.Ord.Basic`. If I added `Init.Data.Ord` simply importing all
submodules, git would not be able to determine that `Init.Data.Ord` was
renamed to `Init.Data.Ord.Basic`. This could lead to unnecessary merge
conflicts in the future. Hence, I chose the name `Init.Data.OrdRoot`
instead of `Init.Data.Ord` temporarily. After this PR, I will rename
this module back to `Init.Data.Ord` in a separate PR.
(This is a copy of #9430: I will not touch that PR because it currently
allows to debug a CI problem and pushing commits might break the
reproducibility.)
This PR adds improved support for proof-by-reflection to the kernel type
checker. It addresses the performance issue exposed by #9854. With this
PR, whenever the kernel type-checks an argument of the form `eagerReduce
_`, it enters "eager-reduction" mode. In this mode, the kernel is more
eager to reduce terms. The new `eagerReduce _` hint is often used to
wrap `Eq.refl true`. The new hint should not negatively impact any
existing Lean package.
---------
Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
This PR resurrects the changes from #8978, #8992, #8973 which were
accidentally removed by #8996.
Fixes#8962.
---------
Co-authored-by: Wojciech Rozowski <wojciech@lean-fro.org>
This PR simplifies the docstring for `propext` significantly.
The old docstring explained general concepts of axioms that are now
covered in the reference manual, and had a large example that was out of
date and has been subsumed by reference manual content.
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 adjusts the experimental module system to make `private` the
default visibility modifier in `module`s, introducing `public` as a new
modifier instead. `public section` can be used to revert the default for
an entire section, though this is more intended to ease gradual adoption
of the new semantics such as in `Init` (and soon `Std`) where they
should be replaced by a future decl-by-decl re-review of visibilities.
This PR changes the `show t` tactic to match its documentation.
Previously it was a synonym for `change t`, but now it finds the first
goal that unifies with the term `t` and moves it to the front of the
goal list.
This PR adds the `@[expose]` attribute to many functions (and changes
some theorems to be by `:= (rfl)`) in preparation for the `@[defeq]`
attribute change in #8419.
This PR adjusts the experimental module system to not export the bodies
of `def`s unless opted out by the new attribute `@[expose]` on the `def`
or on a surrounding `section`.
---------
Co-authored-by: Markus Himmel <markus@lean-fro.org>
This PR adds an initial set of `@[grind]` annotations for
`List`/`Array`/`Vector`, enough to set up some regression tests using
`grind` in proofs about `List`. More annotations to follow.
This PR adds extensional hash maps and hash sets under the names
`Std.ExtDHashMap`, `Std.ExtHashMap` and `Std.ExtHashSet`. Extensional
hash maps work like regular hash maps, except that they have
extensionality lemmas which make them easier to use in proofs. This
however makes it also impossible to regularly iterate over its entries.
This PR moves `ReflBEq` to `Init.Core` and changes `LawfulBEq` to extend
`ReflBEq`.
**BREAKING CHANGES:**
- The `refl` field of `ReflBEq` has been renamed to `rfl` to match
`LawfulBEq`
- `LawfulBEq` extends `ReflBEq`, so in particular `LawfulBEq.rfl` is no
longer valid
This PR adds missing docstrings and makes docstring style consistent for
`ForM`, `ForIn`, `ForIn'`, `ForInStep`, `IntCast`, and `NatCast`.
---------
Co-authored-by: Siddharth <siddu.druid@gmail.com>
This PR makes functions defined by well-founded recursion use an
`opaque` well-founded proof by default. This reliably prevents kernel
reduction of such definitions and proofs, which tends to be
prohibitively slow (fixes#2171), and which regularly causes
hard-to-debug kernel type-checking failures. This changes renders
`unseal` ineffective for such definitions. To avoid the opaque proof,
annotate the function definition with `@[semireducible]`.
