Hello all, I'm trying to port typeclasses to kind-level, here are my data types: -- newtype Fix f a = Fix (f (Fix f a)) -- data Mu f = In (f (Mu f)) data Fix (f :: k1 -> k0) (n :: k1) = Fx data Maybe a = Nothing | Just a If I try to create type families to represent Functors, I end up with this: -- type family MapFix (f :: (* -> k) -> * -> k) a :: * where -- type family MapFix f a where type family MapFix (f :: (k0 -> k1) -> k0 -> k1) (a :: k2) :: * where MapFix f (Fix a n) = Fix (f a) (MapFix f n) -- type family MapMaybe (f :: k -> k) (a :: Maybe k) :: Maybe k where -- type family MapMaybe f a where type family MapMaybe (f :: k0 -> k1) (a :: Maybe k0) :: Maybe k1 where MapMaybe f ('Just a) = 'Just (f a) MapMaybe f 'Nothing = 'Nothing But I can't defined a single open type family for these two data types. I think I lack of parametric kinds, for example: `*k p*` could let me fit `*Maybe k*`. Currently, in the way I see kinds, on `*k0 -> k1*` allow me to parameterize kinds, but `*Maybe k*` doesn't fit. I know that this is certainly unclear, don't hesitate to ask me for clarifications. I also know that my `*Fix*` sucks, any good idea on how to do it is welcome :) Also, if you have any links to have a deeper insight of Kinds it will save me from mental illness. Thanks in advance for your help, Regards.