This PR modifies the pretty printer so that dot notation is used for
class parent projections. Previously, dot notation was never used for
classes.
We still need to modify dot notation to take the method resolution order
into account when collapsing parent projections.
This PR changes how `{...}`/`where` notation ("structure instance
notation") elaborates. The notation now tries to simulate a flat
representation as much as possible, without exposing the details of
subobjects. Features:
- When fields are elaborated, their expected types now have a couple
reductions applied. For all projections and constructors associated to
the structure and its parents, projections of constructors are reduced
and constructors of projections are eta reduced, and also implementation
detail local variables are zeta reduced in propositions (so tactic
proofs should never see them anymore). Furthermore, field values are
beta reduced automatically in successive field types. The example in
[mathlib4#12129](https://github.com/leanprover-community/mathlib4/issues/12129#issuecomment-2056134533)
now shows a goal of `0 = 0` rather than `{ toFun := fun x => x }.toFun 0
= 0`.
- All parents can now be used as field names, not just the subobject
parents. These are like additional sources but with three constraints:
every field of the value must be used, the fields must not overlap with
other provided fields, and every field of the specified parent must be
provided for. Similar to sources, the values are hoisted to `let`s if
they are not already variables, to avoid multiple evaluation. They are
implementation detail local variables, so they get unfolded for
successive fields.
- All class parents are now used to fill in missing fields, not just the
subobject parents. Closes#6046. Rules: (1) only those parents whose
fields are a subset of the remaining fields are considered, (2) parents
are considered only before any fields are elaborated, and (3) only those
parents whose type can be computed are considered (this can happen if a
parent depends on another parent, which is possible since #7302).
- Default values and autoparams now respect the resolution order
completely: each field has at most one default value definition that can
provide for it. The algorithm that tries to unstick default values by
walking up the subobject hierarchy has been removed. If there are
applications of default value priorities, we might consider it in a
future release.
- The resulting constructors are now fully packed. This is implemented
by doing structure eta reduction of the elaborated expressions.
- "Magic field definitions" (as reported [on
Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Where.20is.20sSup.20defined.20on.20submodules.3F/near/499578795))
have been eliminated. This was where fields were being solved for by
unification, tricking the default value system into thinking they had
actually been provided. Now the default value system keeps track of
which fields it has actually solved for, and which fields the user did
not provide. Explicit structure fields (the default kind) without any
explicit value definition will result in an error. If it was solved for
by unification, the error message will include the inferred value, like
"field 'f' must be explicitly provided, its synthesized value is v"
- When the notation is used in patterns, it now no longer inserts fields
using class parents, and it no longer applies autoparams or default
values. The motivation is that one expects patterns to match only the
given fields. This is still imperfect, since fields might be solved for
indirectly.
- Elaboration now attempts error recovery. Extraneous fields log errors
and are ignored, missing fields are filled with `sorry`.
This is a breaking change, but generally the mitigation is to remove
`dsimp only` from the beginnings of proofs. Sometimes "magic fields"
need to be provided — four possible mitigations are (1) to provide the
field, (2) to provide `_` for the value of the field, (3) to add `..` to
the structure instance notation, (4) or decide to modify the `structure`
command to make the field implicit. Lastly, sometimes parent instances
don't apply when they should. This could be because some of the provided
fields overlap with the class, or it could be that the parent depends on
some of the fields for synthesis — and as parents are only considered
before any fields are elaborated, such parents might not be possible to
use — we will look into refining this further.
There is also a change to elaboration: now the `afterTypeChecking`
attributes are run with all `structure` data set up (e.g. the list of
parents, along with all parent projections in the environment). This is
necessary since attributes like `@[ext]` use structure instance
notation, and the notation needs all this data to be set up now.
This PR modifies the `structure` syntax so that parents can be named,
like in
```lean
structure S extends toParent : P
```
**Breaking change:** The syntax is also modified so that the resultant
type comes *before* the `extends` clause, for example `structure S :
Prop extends P`. This is necessary to prevent a parsing ambiguity, but
also this is the natural place for the resultant type. Implements RFC
#7099.
Will need followup PRs for cleanup after a stage0 update.
This PR changes the rule for which projections become instances. Before,
all parents along with all indirect ancestors that were represented as
subobject fields would have their projections become instances. Now only
projections for direct parents become instances.
Features:
- Only parents that are not ancestors of other parents get instances.
This allows "discretionary" indirect parents to be inserted for the
purpose of computing strict resolution orders when
`structure.strictResolutionOrder` is enabled, without having an impact
on typeclass synthesis.
- Non-subobject projections are now theorems if the parent is a
proposition. These are also no longer `@[reducible]`.
Closes#2905
Many of our tests in `tests/lean/run/` produce output from `#eval` (or
`#check`) statements, that is then ignored.
This PR tries to capture all the useful output using `#guard_msgs`. I've
only done a cursory check that the output is still sane --- there is a
chance that some "unchecked" tests have already accumulated regressions
and this just cements them!
In the other direction, I did identify two rotten tests:
* a minor one in `setStructInstNotation.lean`, where a comment says `Set
Nat`, but `#check` actually prints `?_`. Weird?
* `CompilerProbe.lean` is generating empty output, apparently indicating
that something is broken, but I don't know the signficance of this file.
In any case, I'll ask about these elsewhere.
(This started by noticing that a recent `grind` test file had an
untested `trace_state`, and then got carried away.)
This is a quite substantial tactic.
It also includes the infamour `NatCast` typeclass (which I've equipped
with a module-doc). I wasn't at all sure where that should live, so it
is currently randomly in `Lean/Elan/Tactic/NatCast.lean`: presumably if
we're doing this it will go somewhere in `Init`.
---------
Co-authored-by: Leonardo de Moura <leomoura@amazon.com>
This is pretty big PR that upstreams all of Std.Data.Int.Init in one go.
So far lemmas have seen minimal changes needed to adapt to Lean core
environment.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
This upstreams NatCast and IntCast alone independent of norm_cast in
#3322.
This will allow more efficiently upstreaming parts of Std.Data.Int
relevant for omega.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
