lean4-htt/tests/elab/auxParentProj.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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/-!
# Test for auxiliary parent projections (diamond inheritance)
`getStuckMVar?` should detect stuck metavariables through auxiliary parent projections
created for diamond inheritance. Previously, these coercions were not registered as projections,
so `getStuckMVar?` would give up and TC synthesis was never triggered.
-/
class AddZero' (M : Type u_2) extends Zero M, Add M where
class AddMonoid' (M : Type u) extends Add M, AddZero' M where
instance : AddZero' Int where
instance : AddMonoid' Int where
theorem sub_nonneg' {α : Type u} [AddMonoid' α] [Sub α] [LE α] {a b : α} :
0 ≤ a - b ↔ b ≤ a := sorry
-- This used to fail because `getStuckMVar?` could not find the stuck mvar
-- through `AddMonoid'.toAddZero'` (an auxiliary parent projection from diamond inheritance).
example (a b : Int) : 0 ≤ a - b ↔ b ≤ a := by rw [sub_nonneg']