A ReversedLens is a backwards Lens, i.e. a ReversedLens s t a b is equivalent to a Lens b a t s. These are typically produced by calling re on a Lens. They are distinguished from a Review so that re . re on a Lens returns a Lens.

There is no canonical introduction form for ReversedLens, but you can use re to construct one from a Lens:

(\ f g -> re (lens f g)) :: (b -> t) -> (b -> s -> a) -> ReversedLens s t a b

A ReversedLens is a Review, so you can specialise types to obtain:

review :: ReversedLens' s a -> a -> s

There is no corresponding optic kind for a backwards Setter, but a reversed set is definable using re:

set . re :: ReversedLens s t a b -> s -> b -> a

review   $ re (lens f g) ≡ f
set . re $ re (lens f g) ≡ g