module Pandora.Pattern.Functor.Invariant (Invariant (..)) where

{- |
> When providing a new instance, you should ensure it satisfies the two laws:
> Identity morphisms: invmap identity identity = identity
> Composition of morphisms: invmap g j . invmap f h = invmap (g . f) (h . j)
-}

class Invariant (t :: * -> *) where
        {-# MINIMAL invmap #-}
        invmap :: (a -> b) -> (b -> a) -> t a -> t b