lean4-htt/tests/lean/letrec1.lean
2020-09-02 17:02:40 -07:00

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new_frontend
def f1.g := 10
def f1 (x : Nat) : Nat :=
let rec g : Nat → Nat -- Error f1.g has already been declared
| 0 => x
| y+1 => 2 * g y;
g (g x)
axiom Ax {α} : α
def f2 (x : Nat) : Nat :=
let rec
g : Nat → Nat
| 0 => 1
| y+1 => (h y).val,
h : (x : Nat) → { y : Nat // y < g x } -- unknown identifier `g`
| 0 => ⟨10, Ax⟩
| _ => ⟨20, Ax⟩;
10
mutual
def f (x : Nat) : Nat :=
let rec g (y : Nat) (h : y = f x) : Nat := -- error type is using 'f'
f y + 1;
x + 1
end
mutual
def f (x : Nat) : Nat :=
let rec g (y : Nat) : Nat :=
let rec h (z : Nat) (h : z = g z) : Nat := z + 1; -- error type is using 'g'
f y + 1;
x + 1
end