This PR improves indexing for `grind` patterns. We now include symbols
occurring in nested ground patterns. This important to minimize the
number of activated E-match theorems.
This PR implements `try?` using the new `finish?` infrastructure. It
also removes the old tracing infrastructure, which is now obsolete.
Example:
```lean
/--
info: Try these:
[apply] grind
[apply] grind only [findIdx, insert, = mem_indices_of_mem, = getElem?_neg, = getElem?_pos, = HashMap.mem_insert,
= HashMap.getElem_insert, #1bba]
[apply] grind only [findIdx, insert, = mem_indices_of_mem, = getElem?_neg, = getElem?_pos, = HashMap.mem_insert,
= HashMap.getElem_insert]
[apply] grind =>
instantiate only [findIdx, insert, = mem_indices_of_mem]
instantiate only [= getElem?_neg, = getElem?_pos]
cases #1bba
· instantiate only [findIdx]
· instantiate only
instantiate only [= HashMap.mem_insert, = HashMap.getElem_insert]
-/
#guard_msgs in
example (m : IndexMap α β) (a : α) (b : β) :
(m.insert a b).findIdx a = if h : a ∈ m then m.findIdx a else m.size := by
try?
```
This PR adds support for `try?` to use induction; it will only perform
induction on inductive types defined in the current namespace and/or
module; so in particular for now it will not induct on built-in
inductives such as `Nat` or `List`.
This is stacked on top of #11132, and there are overlapping changes.
<!-- CURSOR_SUMMARY -->
---
> [!NOTE]
> Adds vanilla induction suggestions to `try?`, updates collection of
inductive candidates, and tests the new behavior on custom inductive
types.
>
> - **Try tactic pipeline**:
> - Add vanilla induction generators (`mkIndStx`, `mkAllIndStx`) that
try `induction <var> <;> …`, with fallback via `expose_names` when
needed.
> - Integrate induction into `mkTryEvalSuggestStx`, alongside existing
atomic, suggestions, and function-induction options.
> - **Collector updates (`Try/Collect.lean`)**:
> - Enhance `checkInductive` to `whnf` the type and use `getAppFn` to
detect inductive heads, populating `indCandidates`.
> - **Tests**:
> - New `tests/lean/run/try_induction.lean` covering suggestions for
`induction` on custom inductives, interaction with `grind`, and
coexistence with `fun_induction`.
>
> <sup>Written by [Cursor
Bugbot](https://cursor.com/dashboard?tab=bugbot) for commit
b357990c97d0855418202626dad3a73cdcae8a86. This will update automatically
on new commits. Configure
[here](https://cursor.com/dashboard?tab=bugbot).</sup>
<!-- /CURSOR_SUMMARY -->
---------
Co-authored-by: Claude <noreply@anthropic.com>
