08eb78a5b2
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.
54 lines
1.4 KiB
Text
54 lines
1.4 KiB
Text
variable {α : Type _} (r : α → α → Prop) (π : α → α)
|
||
|
||
inductive rel : α → α → Prop
|
||
| of {x y} : r x y → rel x y
|
||
| compat {x y} : rel x y → rel (π x) (π y)
|
||
| refl (x) : rel x x
|
||
| symm {x y} : rel x y → rel y x
|
||
| trans {x y z} : rel x y → rel y z → rel x z
|
||
|
||
def thing : Setoid α := ⟨rel r π, ⟨rel.refl, rel.symm, rel.trans⟩⟩
|
||
|
||
def β := Quotient (thing r π)
|
||
|
||
variable {γ : Type _}
|
||
|
||
abbrev Quotient.mk'' {s : Setoid α} (a : α) : Quotient s :=
|
||
Quotient.mk s a
|
||
|
||
def δ0 : β r π → β r π :=
|
||
Quotient.lift
|
||
(s := thing r π)
|
||
(Quotient.mk'' $ π ·)
|
||
fun x y h => Quotient.sound (by exact rel.compat h)
|
||
|
||
def δ1 : β r π → β r π :=
|
||
Quotient.lift
|
||
(s := thing r π)
|
||
(Quotient.mk'' $ π ·)
|
||
fun x y h => Quotient.sound (rel.compat h)
|
||
|
||
def δ2 : β r π → β r π :=
|
||
Quotient.lift
|
||
(s := thing r π)
|
||
(Quotient.mk'' $ π ·)
|
||
(by exact fun x y h => Quotient.sound (rel.compat h))
|
||
|
||
def Quotient.lift' {α β} {s : Setoid α} (f : α → β) (h : (a b : α) → a ≈ b → f a = f b) (q : Quotient s) : β :=
|
||
Quotient.lift f h q
|
||
|
||
def δ3 : β r π → β r π :=
|
||
Quotient.lift'
|
||
(Quotient.mk'' $ π ·)
|
||
fun x y h => Quotient.sound (rel.compat h)
|
||
|
||
def δ4 : β r π → β r π :=
|
||
@Quotient.lift _ _
|
||
(thing r π)
|
||
(Quotient.mk'' $ π ·)
|
||
(fun x y h => Quotient.sound (rel.compat h))
|
||
|
||
def δ5 : β r π → β r π :=
|
||
@Quotient.lift' _ _ _
|
||
(Quotient.mk'' $ π ·)
|
||
(fun x y h => Quotient.sound (rel.compat h))
|