This PR adds support for generating lattice-theoretic (co)induction
proof principles for predicates defined via `mutual` blocks using
`inductive_fixpoint`/`coinductive_fixpoint` constructs.
### Key Changes
- The order on product lattices (used to define fixpoints of mutual
blocks) is unfolded.
- Hypotheses in generated principles are curried.
- Conclusions are projected to focus only on the predicate of interest
(rather than being a conjunction of conclusions for all functions
defined in the `mutual` block.
### Example
Given:
```lean4
mutual
def f : Prop :=
g
coinductive_fixpoint
def g : Prop :=
f
coinductive_fixpoint
end
```
The system now generates these coinduction principles:
```lean4
f.coinduct (pred_1 pred_2 : Prop) (hyp_1 : pred_1 → pred_2) (hyp_2 : pred_2 → pred_1) : pred_1 → f
```
and
```lean4
g.coinduct (pred_1 pred_2 : Prop) (hyp_1 : pred_1 → pred_2) (hyp_2 : pred_2 → pred_1) : pred_2 → g
```
---------
Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
This PR updates the styling and wording of error messages produced in
inductive type declarations and anonymous constructor notation,
including hints for inferable constructor visibility updates.
This PR adds `@[grind =]` to `Prod.lex_def`. Note that `omega` has
special handling for `Prod.Lex`, and this is needed for `grind`'s cutsat
module to achieve parity.
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 fixes an issue in `grind`'s disequality proof construction. The
issue occurs when an equality is merged with the `False` equivalence
class, but it is not the root of its congruence class, and its
congruence root has not yet been merged into the `False` equivalence
class yet.
closes#9562
This PR fixes a bug introduced in #7830 where if the cursor is at the
indicated position
```lean
example (as bs : List Nat) : (as.append bs).length = as.length + bs.length := by
induction as with
| nil => -- cursor
| cons b bs ih =>
```
then the Infoview would show "no goals" rather than the `nil` goal. The
PR also fixes a separate bug where placing the cursor on the next line
after the `induction`/`cases` tactics like in
```lean
induction as with
| nil => sorry
| cons b bs ih => sorry
I -- < cursor
```
would report the original goal in the goal list. Furthermore, there are
numerous improvements to error recovery (including `allGoals`-type logic
for pre-tactics) and the visible tactic states when there are errors.
Adds `Tactic.throwOrLogErrorAt`/`Tactic.throwOrLogError` for throwing or
logging errors depending on the recovery state.
This PR consolidates common attribute-related error messages into
reusable functions and updates the wording and formatting of relevant
error messages.
This PR lets the equation compiler unfold abstracted proofs again if
they would otherwise hide recursive calls.
This fixes#8939.
---------
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
In the early days of the new compiler, it was common to make tests that
manually compiled a definition with the new compiler. The arity
reduction pass in LCNF deliberately does not compute a fixed point to
find a minimal set of used parameters for performance reasons, but
running it a second time can lead to different decisions being made and
a decl arity mismatch. This has been an issue for multiple people during
development. Removing the tests fixes the problem.
Fixes#9186.
This PR uses `withAbstractAtoms` to prevent the kernel from accidentally
reducing the atoms in the arith normlizer while typechecking. This PR
also sets `implicitDefEqProofs := false` in the `grind` normalizer
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 surfaces kernel diagnostics even in `example`.
The problem was that the kernel checking happens asynchronously. We
cannot use `reportDiag` in `addDecl`, which spawns that task, due to the
module hierarchy. For non `example`-declaration, `reportDiag` is called
somewhere else later, but for `example`, the `withoutModifyingEnv` in
`elabMutualDef` hid the kernel diagnostics. (But only the kernel
diagnostics; they are in the `Environment`, while the others are in the
`State`).
I also observed that the `reportDiag` in `elabAsync` (but not in
`elabSync`) duplicated the reporting, so without `elab.Async true` you
get the message twice. To fix this, `reportDiag` now resets the
diagnostics. This should avoid reporting counts twice in general (at
least within a linear use of the state).
---------
Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
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 adds a feature where `structure` constructors can override the
inferred binder kinds of the type's parameters. In the following, the
`(p)` binder on `toLp` causes `p` to be an explicit parameter to
`WithLp.toLp`:
```lean
structure WithLp (p : Nat) (V : Type) where toLp (p) ::
ofLp : V
```
This reflects the syntax of the feature added in #7742 for overriding
binder kinds of structure projections. Similarly, only those parameters
in the header of the `structure` may be updated; it is an error to try
to update binder kinds of parameters included via `variable`.
Closes#9072.
Fixes a possible bug from stale caches when creating the type of the
constructor.
This PR fixes a kernel type mismatch that occurs when using `grind` on
goals containing non-standard `OfNat.ofNat` terms. For example, in issue
#9477, the `0` in the theorem `range_lower` has the form:
```lean
(@OfNat.ofNat
(Std.PRange.Bound (Std.PRange.RangeShape.lower (Std.PRange.RangeShape.mk Std.PRange.BoundShape.closed Std.PRange.BoundShape.open)) Nat)
(nat_lit 0)
(instOfNatNat (nat_lit 0)))
```
instead of the more standard form:
```lean
(@OfNat.ofNat
Nat
(nat_lit 0)
(instOfNatNat (nat_lit 0)))
```
Closes#9477
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 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 adds support in the `mintro` tactic for introducing `let`/`have`
binders in stateful targets, akin to `intro`. This is useful when
specifications introduce such let bindings.
Closes#9365.
This PR makes `PProdN.reduceProjs` also look for projection functions.
Previously, all redexes were created by the functions in `PProdN`, which
used primitive projections. But with `mkAdmProj` the projection
functions creep in via the types of the `admissible_pprod_fst` theorem.
So let's just reduce both of them.
Fixes#9462.
This PR fixes an issue that caused some `deriving` handlers to fail when
the name of the type being declared matched that of a declaration in an
open namespace.
Closes#9366
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 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 adds a hint to the "invalid projection" message suggesting the
correct nested projection for expressions of the form `t.n` where `t` is
a tuple and `n > 2`.
This feature was originally proposed by @nomeata in #8986.
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.
This PR adds improves the "invalid named argument" error message in
function applications and match patterns by providing clickable hints
with valid argument names. In so doing, it also fixes an issue where
this error message would erroneously flag valid match-pattern argument
names.
This PR adds support for compilation of `casesOn` for subsingletons. We
rely on the elaborator's type checking to restrict this to inductives in
`Prop` that can actually eliminate into `Type n`. This does not yet
cover other recursors of these types (or of inductives not in `Prop` for
that matter).
This PR fixes a bug at `mkCongrSimpCore?`. It fixes the issue reported
by @joehendrix at #9388.
The fix is just commit: afc4ba617fe2ca5828e0e252558d893d7791d56b. The
rest of the PR is just cleaning up the file.
closes#9388
