a3cb39eac9
This PR migrates most remaining tests to the new test suite. It also completes the migration of directories like `tests/lean/run`, meaning that PRs trying to add tests to those old directories will now fail.
39 lines
1.2 KiB
Text
39 lines
1.2 KiB
Text
inductive Expr where
|
||
| nat : Nat → Expr
|
||
| plus : Expr → Expr → Expr
|
||
| bool : Bool → Expr
|
||
| and : Expr → Expr → Expr
|
||
|
||
inductive Ty where
|
||
| nat
|
||
| bool
|
||
deriving DecidableEq
|
||
|
||
inductive HasType : Expr → Ty → Prop
|
||
| nat : HasType (.nat v) .nat
|
||
| plus : HasType a .nat → HasType b .nat → HasType (.plus a b) .nat
|
||
| bool : HasType (.bool v) .bool
|
||
| and : HasType a .bool → HasType b .bool → HasType (.and a b) .bool
|
||
|
||
theorem HasType.det (h₁ : HasType e t₁) (h₂ : HasType e t₂) : t₁ = t₂ := by
|
||
cases h₁ <;> cases h₂ <;> rfl
|
||
|
||
inductive Maybe (p : α → Prop) where
|
||
| found : (a : α) → p a → Maybe p
|
||
| unknown
|
||
|
||
notation "{{ " x " | " p " }}" => Maybe (fun x => p)
|
||
|
||
def Expr.typeCheck (e : Expr) : {{ ty | HasType e ty }} :=
|
||
match e with
|
||
| nat .. => .found .nat .nat
|
||
| bool .. => .found .bool .bool
|
||
| plus a b =>
|
||
match a.typeCheck, b.typeCheck with
|
||
| .found .nat h₁, .found .nat h₂ => .found .nat (.plus h₁ h₂)
|
||
--^ $/lean/plainTermGoal
|
||
| _, _ => .unknown
|
||
| and a b =>
|
||
match a.typeCheck, b.typeCheck with
|
||
| .found .bool h₁, .found .bool h₂ => .found .bool (.and h₁ h₂)
|
||
| _, _ => .unknown
|