lean4-htt/tests/elab/3313.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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class AddCommGroup (α : Type) extends Zero α where
class Ring (α : Type) extends Zero α, AddCommGroup α
class Module (R : Type) (M : Type) [Zero R] [Zero M] where
instance (R : Type) [Zero R] : Module R R := ⟨⟩
structure Submodule (R : Type) (M : Type) [Zero R] [Zero M] [Module R M] : Type where
class HasQuotient (A : outParam <| Type) (B : Type) where
quotient' : B → Type
instance Submodule.hasQuotient {R : Type} {M : Type} [Ring R] [AddCommGroup M]
[Module R M]: HasQuotient M (Submodule R M) := ⟨fun _ => M⟩
def Synonym (M : Type) [Zero M] := M
instance Synonym.zero {G : Type} [Zero G] : Zero (Synonym G) := ⟨(Zero.zero : G)⟩
instance Synonym.addCommGroup {G : Type} [AddCommGroup G] : AddCommGroup (Synonym G) :=
{ Synonym.zero with }
instance Synonym.module (M : Type) {R : Type} [Zero R] [Zero M] [Module R M] :
Module R (Synonym M) := { }
variable (R : Type) [Ring R]
set_option maxSynthPendingDepth 2 in
/-- info: Submodule.hasQuotient -/
#guard_msgs in
#synth HasQuotient (Synonym (Synonym R)) (Submodule R (Synonym (Synonym R))) -- works
/-!
After https://github.com/leanprover/lean4/pull/5920 works without changing maxSynthPendingDepth.
-/
/-- info: Submodule.hasQuotient -/
#guard_msgs in
#synth HasQuotient (Synonym (Synonym R)) (Submodule R (Synonym (Synonym R)))