type0 : type
typeof(type0) : type_1
type tower: [type;type_1;type_2;type_3;type_4;type_5;type_6;type_7;type_8;
             type_9]
a: a, b: b, typeof(a): Bool
pi Bool Bool
b2b: (Bool -> Bool)
p(a): p a
p(b): p b
q(a): q a
q(b): q b
typeof(p a): Bool
pi Bool Bool
pi Bool Bool
pi Bool (Bool -> Bool)
lxy_px: (\x:Bool. (\y:Bool. p x))
  type: (Bool -> (Bool -> Bool))
lxy_px a b: ((\x:Bool. (\y:Bool. p x))) a b
  type: Bool