lean4-htt/tests/lean/run/1216.lean
Leonardo de Moura bf9f7560f7 feat(frontends/lean): (Type u) can't be a proposition
(Type u)  is the old (Type (u+1))
(PType u) is the old (Type u)
Type*     is the old (Type (_+1))
PType*    is the old Type*

The stdlib can be compiled, but we still have > 70 broken tests

See discussion at #1341
2017-01-30 11:54:00 -08:00

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open nat
inductive {u} Vec (X : Type u) : → Type u
| nil {} : Vec 0
| cons : X → Pi {n : nat}, Vec n → Vec (n + 1)
namespace Vec
def get₂ {A : Type} : Π {n : }, Vec A (succ $ succ n) → A
| n (cons x₁ (cons x₂ xs)) := x₂
def get₂a {A : Type} : Π {n : }, Vec A (n+2) → A
| 0 (cons x₁ (cons x₂ xs)) := x₂
| (n+1) (cons x₁ (cons x₂ xs)) := x₂
def get₂b {A : Type} : Π {n : }, Vec A (n+2) → A
| n (cons x₁ (cons x₂ xs)) := x₂
def get₂c {A : Type} : Π {n : }, Vec A (n+2) → A
| .n (@cons .A x₁ .(n+1) (@cons .A x₂ n xs)) := x₂
def get₂d {A : Type} : Π {n : }, Vec A (n+2) → A
| .n (@cons .A x₁ (n+1) (@cons .A x₂ .n xs)) := x₂
end Vec