This PR makes `try?` use `fun_induction` instead of `induction … using
foo.induct`. It uses the argument-free short-hand `fun_induction foo` if
that is unambiguous. Avoids `expose_names` if not necessary by simply
trying without first.
This PR gives the `induction` tactic the ability to name hypotheses to
use when generalizing targets, just like in `cases`. For example,
`induction h : xs.length` leads to goals with hypotheses `h : xs.length
= 0` and `h : xs.length = n + 1`. Target handling is also slightly
modified for multi-target induction principles: it used to be that if
any target was not a free variable, all of the targets would be
generalized (thus causing free variables to lose their connection to the
local hypotheses they appear in); now only the non-free-variable targets
are generalized.
This gives `induction` the last basic feature of the mathlib
`induction'` tactic, which has been long-requested. Recent Zulip
discussion:
https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/To.20replace.20.60induction'.20h.20.3A.20f.20x.60/near/499482173
This PR adds the `Try.Config.merge` flag (`true` by default) to the
`try?` tactic. When set to `true`, `try?` compresses suggestions such
as:
```lean
· induction xs, ys using bla.induct
· grind only [List.length_reverse]
· grind only [bla]
```
into:
```lean
induction xs, ys using bla.induct <;> grind only [List.length_reverse, bla]
```
This PR also ensures `try?` does not generate suggestions that mixes
`grind` and `grind only`, or `simp` and `simp only` tactics.
This PR also adds the `try? +harder` option (previously called `lib`),
but it has not been fully implemented yet.
This PR adds new configuration options to `try?`.
- `try? -only` omits `simp only` and `grind only` suggestions
- `try? +missing` enables partial solutions where some subgoals are
"solved" using `sorry`, and must be manually proved by the user.
- `try? (max:=<num>)` sets the maximum number of suggestions produced
(default is 8).
2025-02-07 01:35:41 +00:00
Renamed from tests/lean/run/try_trace1.lean (Browse further)
