lean4-htt/tests/elab/grind_trace.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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module
reset_grind_attrs%
attribute [grind =] List.length_cons
attribute [grind =] List.getElem?_eq_getElem
attribute [grind =] List.length_replicate
attribute [grind =] List.getElem_replicate
attribute [grind =] List.getElem?_eq_none
attribute [grind =] List.getElem?_eq_some_iff
attribute [grind =] getElem!_pos
attribute [grind =] Option.map_some Option.map_none
attribute [grind =] List.getElem?_map
attribute [grind =] List.getElem?_replicate
attribute [grind =] List.getLast?_eq_some_iff
attribute [grind ←] List.mem_concat_self
attribute [grind =] List.getElem_cons_zero in
attribute [grind =] List.getElem?_cons_zero in
/--
info: Try these:
[apply] grind only [= List.getElem?_replicate]
[apply] grind => instantiate only [= List.getElem?_replicate]
-/
#guard_msgs (info) in
theorem getElem?_replicate' : (List.replicate n a)[m]? = if m < n then some a else none := by
grind?
/--
info: Try these:
[apply] grind only [= List.length_cons]
[apply] grind => instantiate only [= List.length_cons]
-/
#guard_msgs (info) in
example : 0 < (x :: t).length := by
grind?
attribute [grind ext] List.ext_getElem?
/--
info: Try these:
[apply] grind only [= List.getElem?_replicate, = List.getElem?_map, = List.getElem?_eq_none,
= List.getElem?_eq_getElem, = List.length_replicate, = List.getElem?_eq_some_iff, = Option.map_some,
= Option.map_none, #648a, #bb68, #a564]
[apply] grind only [= List.getElem?_replicate, = List.getElem?_map, = List.getElem?_eq_none,
= List.getElem?_eq_getElem, = List.length_replicate, = List.getElem?_eq_some_iff, = Option.map_some,
= Option.map_none]
[apply] grind =>
cases #648a
instantiate only [= List.getElem?_replicate, = List.getElem?_map, = List.getElem?_eq_none,
= List.getElem?_eq_getElem]
instantiate only [= List.getElem?_replicate, = List.getElem?_eq_none, = List.getElem?_eq_getElem,
= List.length_replicate]
instantiate only [= List.length_replicate]
cases #bb68
· instantiate only [= List.getElem?_eq_some_iff]
cases #a564
· instantiate only [= Option.map_some]
· instantiate only [= Option.map_none]
· instantiate only [= Option.map_some]
-/
#guard_msgs (info) in
theorem map_replicate' : (List.replicate n a).map f = List.replicate n (f a) := by
grind?
/--
info: Try these:
[apply] grind only [= List.getLast?_eq_some_iff, ← List.mem_concat_self, #1ecf]
[apply] grind only [= List.getLast?_eq_some_iff, ← List.mem_concat_self]
[apply] grind =>
instantiate only [= List.getLast?_eq_some_iff]
cases #1ecf <;> instantiate only [← List.mem_concat_self]
-/
#guard_msgs (info) in
theorem mem_of_getLast?_eq_some' {xs : List α} {a : α} (h : xs.getLast? = some a) : a ∈ xs := by
grind?
@[expose] public def f : Nat → Nat
| 0 => 1
| _ => 2
/--
info: Try these:
[apply] grind only
[apply] grind => instantiate only
-/
#guard_msgs (info) in
example : x = 0 → f x = 1 := by
unfold f
grind? -- should not include match equations
attribute [grind] f
/--
info: Try these:
[apply] grind only [f]
[apply] grind => instantiate only [f]
-/
#guard_msgs (info) in
example : x = 0 → f x = 1 := by
grind? [f]
opaque g : Nat → Nat
theorem gthm : g (g x) = g x := sorry
grind_pattern gthm => g (g x)
/--
info: Try these:
[apply] grind only [usr gthm]
[apply] grind => instantiate only [usr gthm]
-/
#guard_msgs (info) in
example : g (g (g x)) = g x := by
grind?
/--
error: `And` is marked as a built-in case-split for `grind` and cannot be erased
-/
#guard_msgs (error) in
attribute [-grind] And
/--
error: `And` is marked as a built-in case-split for `grind` and cannot be erased
-/
#guard_msgs (error) in
example : p ∧ q → p := by
grind [-And]
example : (List.replicate n a)[m]? = if m < n then some a else none := by
grind?
reset_grind_attrs%
set_option warn.sorry false
/--
info: Try this:
[apply] grind => sorry
-/
#guard_msgs in
example : (List.replicate n a)[m]? = if m < n then some a else none := by
grind?