This PR introduces stricter inference for the `@[defeq]` attribute and a
companion `@[backward_defeq]` attribute that preserves the pre-PR
behavior
as an opt-in.
### What changed
* `@[defeq]` is now inferred only when the equation holds at
`.instances` transparency (the transparency `dsimp` operates at).
* `@[backward_defeq]` is the old set: every theorem whose `rfl` proof
the legacy inference would have accepted is tagged `@[backward_defeq]`,
so `defeq ⊆ backward_defeq` holds by construction.
* The option `backward.defeqAttrib.useBackward` (default `false`) makes
`dsimp` also use `@[backward_defeq]` theorems, restoring the pre-PR
behavior for a specific proof or file.
* The option is eqn-affecting: its value at the point of a function's
definition is recorded so that the equation lemmas later generated for
that function use the same value, regardless of the ambient option at
the use site.
### Mathlib adaption
A companion adaption branch (`lean-pr-testing-backward-defeq-attrib` on
mathlib4) builds cleanly against this PR and passes `lake test` without
warnings. Most adaption changes are scoped
`set_option backward.defeqAttrib.useBackward true in` additions on the
failing declarations; a small number of files needed proof-level edits
where the stored form of a `dsimp%`/`@[reassoc]`/`@[elementwise]`
/`@[simps]`/`@[to_app]`-generated lemma had drifted under the stricter
regime.
---------
Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
The tests need to run with certain environment variables set that only
cmake really knows and that differ between stages. Cmake could just set
the variables directly when running the tests and benchmarks, but that
would leave no good way to manually run a single benchmark. So cmake
generates some stage-specific scripts instead that set the required
environment variables.
Previously, those scripts were sourced directly by the individual
`run_*` scripts, so the env scripts of different stages would overwrite
each other. This PR changes the setup so they can instead be generated
next to each other. This also simplifies the `run_*` scripts themselves
a bit, and makes `tests/bench/build` less of a hack.
This PR adds a warning to any `def` of class type that does not also
declare an appropriate reducibility.
The warning check runs after elaboration (checking the actual
reducibility status via `getReducibilityStatus`) rather than
syntactically checking modifiers before elaboration. This is necessary
to accommodate patterns like `@[to_additive (attr :=
implicit_reducible)]` in Mathlib, where the reducibility attribute is
applied during `.afterCompilation` by another attribute, and would be
missed by a purely syntactic check.
---------
Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
Co-authored-by: Kim Morrison <kim@tqft.net>
Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
This PR adds high priority to instances for `OfSemiring.Q` in the grind
ring envelope. When Mathlib is imported, instance synthesis for types
like `OfSemiring.Q Nat` becomes very expensive because the solver
explores many irrelevant paths before finding the correct instances. By
marking these instances as high priority and adding shortcut instances
for basic operations (`Add`, `Sub`, `Mul`, `Neg`, `OfNat`, `NatCast`,
`IntCast`, `HPow`), instance synthesis resolves quickly.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
---------
Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
Co-authored-by: Kim Morrison <kim@tqft.net>
This PR changes all `lean-toolchain` to use relative toolchain paths
instead of `lean4` and `lean4-stage0` identifiers, which removes the
need for manually linking toolchains via Elan.
After this PR, at least Elan 4.2.0 and 0.0.224 of the Lean VS Code
extension will be needed to edit core.
Co-authored-by: Claude Sonnet 4.6 <noreply@anthropic.com>
This PR fixes two aspects of pretty printing of private names.
1. Name unresolution. Now private names are not special cased: the
private prefix is stripped off and the `_root_` prefix is added, then it
tries resolving all suffixes of the result. This is sufficient to handle
imported private names in the new module system. (Additionally,
unresolution takes macro scopes into account now.)
2. Delaboration. Inaccessible private names use a deterministic
algorithm to convert private prefixes into macro scopes. The effect is
that the same private name appearing in multiple times in the same
delaborated expression will now have the same `✝` suffix each time. It
used to use fresh macro scopes per occurrence.
Note: There is currently a small hack to support pretty printing in the
compiler's trace messages, which print constants that do not exist (e.g.
`obj`, `tobj`, and auxiliary definitions being compiled). Even though
these names are inaccessible (for the stronger reason that they don't
exist), we make sure that the pretty printer won't add macro scopes. It
also does some analysis of private names to see if the private names are
for the current module.
Closes#10771, closes#10772, and closes#10773
This PR ensures that failure in initial compilation marks the relevant
definitions as `noncomputable`, inside and outside `noncomputable
section`, so that follow-up errors/noncomputable markings are detected
in initial compilation as well instead of somewhere down the pipeline.
This may require additional `noncomputable` markers on definitions that
depend on definitions inside `noncomputable section` but accidentally
passed the new computability check.
Reported at
https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Cryptic.20error.20message.20in.20new.20lean.20toolchain.3F.
This PR renames `instance_reducible` to `implicit_reducible` and adds a
new
`backward.isDefEq.implicitBump` option to prepare for treating all
implicit
arguments uniformly during definitional equality checking.
## Changes
**Rename `instance_reducible` → `implicit_reducible`:**
- Rename `ReducibilityStatus.instanceReducible` constructor to
`implicitReducible`
- Register new `[implicit_reducible]` attribute, keep
`[instance_reducible]` as alias
- Rename `isInstanceReducible` → `isImplicitReducible` (with deprecated
aliases)
- Update all references across src/ and tests/
The rename reflects that this reducibility level is used not just for
instances
but for any definition that needs unfolding during implicit argument
resolution
(e.g., `Nat.add`, `Array.size`).
**Add `backward.isDefEq.implicitBump` option:**
- When `true` (+ `respectTransparency`), bumps transparency to
`.instances` for
ALL implicit arguments in `isDefEqArgs`, not just instance-implicit ones
- Defaults to `false` for staging compatibility — will be flipped to
`true` after
stage0 update
- Adds `// update me!` to `stage0/src/stdlib_flags.h` to trigger CI
stage0 update
## Follow-up (after stage0 update)
- Flip `backward.isDefEq.implicitBump` default to `true`
- Fix resulting test/module failures
🤖 Generated with [Claude Code](https://claude.com/claude-code)
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
---------
Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
This PR sets the `irreducible` attribute before generating the equations
for recursive definitions. This prevents these equations to be marked as
`defeq`, which could lead to `simp` generation proofs that do not type
check at default transparency.
This issue is surfacing more easily since well-founded recursion on
`Nat` is implemented with a dedicated fix point operator (#7965). Before
that, `WellFounded.fix` was used, which is inherently not reducing, so
we did get the desired result even without the explicit reducibility
setting.
Fixes#12398.
This PR adds the new transparency setting `@[instance_reducible]`. We
used to check whether a declaration had `instance` reducibility by using
the `isInstance` predicate. However, this was not a robust solution
because:
- We have scoped instances, and `isInstance` returns `true` only if the
scope is active.
- We have auxiliary declarations used to construct instances manually,
such as:
```lean
def lt_wfRel : WellFoundedRelation Nat
```
`isInstance` also returns `false` for this kind of declaration.
In both cases, the declaration may be (or may have been) used to
construct an instance, but `isInstance`
returns `false`. Thus, we claim it is a mistake to check the
reducibility status using `isInstance`.
`isInstance` indicates whether a declaration is available for the type
class resolution mechanism,
not its transparency status.
**We are decoupling whether a declaration is available for type class
resolution from its transparency status.**
**Remak**: We need a update stage0 to complete this feature.
---------
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
This PR reverts #12000, which introduced a regression where `simp`
incorrectly rejects valid rewrites for perm lemmas.
The issue is that `NameGenerator.mkChild` creates names that don't
maintain the ordering assumption used by `acLt` for perm lemma
decisions. For example, after the change:
- Child generator creates names like `_uniq.102.2`
- Parent continues with `_uniq.7`
- But `Name.lt (.num (.num `_uniq 102) 2) (.num `_uniq 7)` is true
This causes fvars created later (in async tasks) to compare as smaller
than fvars created earlier, breaking the assumption that later fvars
compare greater according to `Name.lt`.
Fixes#12136.
🤖 Prepared with [Claude Code](https://claude.com/claude-code)
Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>
This PR fixes an issue where go-to-definition would jump to the wrong
location in presence of async theorems.
While the elaborator does not explicitly depend on `FVar`s not being
reused between declarations, the language server turned out to do so. As
we would have to split the name generator in any case as soon as we add
any parallelism within proofs, we now do so for any async code in order
to uphold this invariant again.
---------
Co-authored-by: mhuisi <mhuisi@protonmail.com>
This PR fixes an issue where `grind` fails when trying to unfold a
definition by pattern matching imported by `import all` (or from a
non-`module`).
Fixes#11715
---------
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
This PR fixes an issue where a `by` in the public scope could create an
auxiliary theorem for the proof whose type does not match the expected
type in the public scope.
Fixes#11672
This PR switches the way olean files store identifier suggestions. The
ordering introduced in #11367 and #11529 made sense if we were only
storing incorrect -> correct mappings, but for the reference manual we
want to store the correct -> incorrect mappings as well, and so it is
more sensible to store just the correct -> incorrect mapping that mimics
the author-generated data better.
Also tweaks error messages further in preparation for public-facing
@[suggest_for] annotations and forbids suggestions on non-public names.
Does not make generally-visible changes as there are no introduced uses
of @[suggest_for] annotations yet.
This PR refines several error error messages, mostly involving invalid
use of field notation, generalized field notation, and numeric
projection. Provides a new error explanation for field notation.
## Error message changes
In general:
- Uses a slightly different convention for expression-type pairs, where
the expression is always given `indentExpr` and the type is given
`inlineExpr` treatment. This is something of a workaround for the fact
that the `Format` type is awkward for embedding possibly-linebreaking
expressions in not-linebreaking text, which may be a separate issue
worth addressing.
- Tries to give slightly more "why" reasoning — the environment does not
contain `String.parse`, and _therefore you can't project `.parse` from a
`String`_.
Some specific examples:
### No such projection function
```lean4
#check "".parse
```
before:
```
error: Invalid field `parse`: The environment does not contain `String.parse`
""
has type
String
```
after:
```
error: Invalid field `parse`: The environment does not contain `String.parse`, so it is not possible to project the field `parse` from an expression
""
of type `String`
```
### Type does not have the correct form
```lean4
example (x : α) := (foo x).foo
```
before:
```
error: Invalid field notation: Type is not of the form `C ...` where C is a constant
foo x
has type
α
```
after:
```
error: Invalid field notation: Field projection operates on types of the form `C ...` where C is a constant. The expression
foo x
has type `α` which does not have the necessary form.
```
## Refactoring
Includes some refactoring changes as well:
- factors out multiple uses of number (1, 2, 3, 212, 222) to ordinal
("first", "second", "third", "212th", "222nd") conversion into
Lean.Elab.ErrorUtils
- significant refactoring of `resolveLValAux` in `Lean.Elab.App` — in
place of five helper functions, a special-case function case analysis,
and a case analysis on the projection type and structure, there's now a
single case analysis on the projection type and structure. This allows
several error messages to be more explicit (there were a number of cases
where index projection was being described as field projection in an
error messages) and gave the opportunity to slightly improve positining
for several errors: field *notation* errors should appear on `foo.bar`,
but field *projection* errors should appear only on the `bar` part of
`foo.bar`.
This PR lets recursive functions defined by well-founded recursion use a
different `fix` function when the termination measure is of type `Nat`.
This fix-point operator use structural recursion on “fuel”, initialized
by the given measure, and is thus reasonable to reduce, e.g. in `by
decide` proofs.
Extra provisions are in place that the fixpoint operator only starts
reducing when the fuel is fully known, to prevent “accidential” defeqs
when the remaining fuel for the recursive calls match the initial fuel
for that recursive argument.
To opt-out, the idiom `termination_by (n,0)` can be used.
We still use `@[irreducible]` as the default for such recursive
definitions, to avoid unexpected `defeq` lemmas. Making these functions
`@[semireducible]` by default showed performance regressions in lean.
When the measure is of type `Nat`, the system will accept an explicit
`@[semireducible]` without the usual warning.
Fixes#5234. Fixes: #11181.
This PR improves the error message encountered in the case of a type
class instance resolution failure, and adds an error explanation that
discusses the common new-user case of binary operation overloading and
points to the `trace.Meta.synthInstance` option for advanced debugging.
## Example
```lean4
def f (x : String) := x + x
```
Before:
```
failed to synthesize
HAdd String String ?m.5
Hint: Additional diagnostic information may be available using the `set_option diagnostics true` command.
```
After:
```
failed to synthesize instance of type class
HAdd String String ?m.5
Hint: Type class instance resolution failures can be inspected with the `set_option trace.Meta.synthInstance true` command.
Error code: lean.failedToSynthesizeTypeclassInstance
[View explanation](https://lean-lang.org/doc/reference/latest/find/?domain=Manual.errorExplanation&name=lean.failedToSynthesizeTypeclassInstance)
```
The error message is changed in three important ways:
* Explains *what* failed to synthesize, using the "type class"
terminology that's more likely to be recognized than the "instance"
terminology
* Points to the `trace.Meta.synthInstance` option which is otherwise
nearly undiscoverable but is quite powerful (see also
leanprover/reference-manual#663 which is adding commentary on this
option)
* Gives an error explanation link (which won't actually work until the
next release after this is merged) which prioritizes the common-case
explanation of using the wrong binary operation
This PR ensures private declarations are accessible from the private
scope iff they are local or imported through an `import all` chain,
including for anonymous notation and structure instance notation.
This PR fixes a potential miscompilation when using non-exposed type
definitions using the module system by turning it into a static error. A
future revision may lift the restriction by making the compiler metadata
independent of the current module.
This PR refines and clarifies the `meta` phase distinction in the module
system.
* `meta import A` without `public` now has the clarified meaning of
"enable compile-time evaluation of declarations in or above `A` in the
current module, but not downstream". This is now checked statically by
enforcing that public meta defs, which therefore may be referenced from
outside, can only use public meta imports, and that global evaluating
attributes such as `@[term_parser]` can only be applied to public meta
defs.
* `meta def`s may no longer reference non-meta defs even when in the
same module. This clarifies the meta distinction as well as improves
locality of (new) error messages.
* parser references in `syntax` are now also properly tracked as meta
references.
* A `meta import` of an `import` now properly loads only the `.ir` of
the nested module for the purposes of execution instead of also making
its declarations available for general elaboration.
* `initialize` is now no longer being run on import under the module
system, which is now covered by `meta initialize`.
This PR addresses a missing check in the module system where private
names that remain in the public environment map for technical reasons
(e.g. inductive constructors generated by the kernel and relied on by
the code generator) accidentally were accessible in the public scope.