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1. bimapping :: forall (f :: Type -> Type -> Type) (g :: Type -> Type -> Type) s t a b s' t' a' b' . (Bifunctor f, Bifunctor g) => AnIso s t a b -> AnIso s' t' a' b' -> Iso (f s s') (g t t') (f a a') (g b b')

   lens	Control.Lens.Iso

   Lift two Isos into both arguments of a Bifunctor.

   bimapping :: Bifunctor p => Iso s t a b -> Iso s' t' a' b' -> Iso (p s s') (p t t') (p a a') (p b b')
   bimapping :: Bifunctor p => Iso' s a -> Iso' s' a' -> Iso' (p s s') (p a a')
   

2. contramapping :: forall (f :: Type -> Type) s t a b . Contravariant f => AnIso s t a b -> Iso (f a) (f b) (f s) (f t)

   lens	Control.Lens.Iso

   Lift an Iso into a Contravariant functor.

   contramapping :: Contravariant f => Iso s t a b -> Iso (f a) (f b) (f s) (f t)
   contramapping :: Contravariant f => Iso' s a -> Iso' (f a) (f s)
   

3. dimap :: Profunctor p => (a -> b) -> (c -> d) -> p b c -> p a d

   lens	Control.Lens.Iso

   Map over both arguments at the same time.

   dimap f g ≡ lmap f . rmap g
   

4. dimapping :: forall (p :: Type -> Type -> Type) (q :: Type -> Type -> Type) s t a b s' t' a' b' . (Profunctor p, Profunctor q) => AnIso s t a b -> AnIso s' t' a' b' -> Iso (p a s') (q b t') (p s a') (q t b')

   lens	Control.Lens.Iso

   Lift two Isos into both arguments of a Profunctor simultaneously.

   dimapping :: Profunctor p => Iso s t a b -> Iso s' t' a' b' -> Iso (p a s') (p b t') (p s a') (p t b')
   dimapping :: Profunctor p => Iso' s a -> Iso' s' a' -> Iso' (p a s') (p s a')
   

5. lmap :: Profunctor p => (a -> b) -> p b c -> p a c

   lens	Control.Lens.Iso

   Map the first argument contravariantly.

   lmap f ≡ dimap f id
   

6. lmapping :: forall (p :: Type -> Type -> Type) (q :: Type -> Type -> Type) s t a b x y . (Profunctor p, Profunctor q) => AnIso s t a b -> Iso (p a x) (q b y) (p s x) (q t y)

   lens	Control.Lens.Iso

   Lift an Iso contravariantly into the left argument of a Profunctor.

   lmapping :: Profunctor p => Iso s t a b -> Iso (p a x) (p b y) (p s x) (p t y)
   lmapping :: Profunctor p => Iso' s a -> Iso' (p a x) (p s x)
   

7. rmap :: Profunctor p => (b -> c) -> p a b -> p a c

   lens	Control.Lens.Iso

   Map the second argument covariantly.

   rmap ≡ dimap id
   

8. rmapping :: forall (p :: Type -> Type -> Type) (q :: Type -> Type -> Type) s t a b x y . (Profunctor p, Profunctor q) => AnIso s t a b -> Iso (p x s) (q y t) (p x a) (q y b)

   lens	Control.Lens.Iso

   Lift an Iso covariantly into the right argument of a Profunctor.

   rmapping :: Profunctor p => Iso s t a b -> Iso (p x s) (p y t) (p x a) (p y b)
   rmapping :: Profunctor p => Iso' s a -> Iso' (p x s) (p x a)
   

9. bimap :: Bifunctor p => (a -> b) -> (c -> d) -> p a c -> p b d

   lens	Control.Lens.Review

   Map over both arguments at the same time.

   bimap f g ≡ first f . second g
   

   Examples

   >>> bimap toUpper (+1) ('j', 3)
   ('J',4)
   

   >>> bimap toUpper (+1) (Left 'j')
   Left 'J'
   

   >>> bimap toUpper (+1) (Right 3)
   Right 4
   

10. contramapped :: forall (f :: Type -> Type) b a . Contravariant f => Setter (f b) (f a) a b

    lens	Control.Lens.Setter

    This Setter can be used to map over all of the inputs to a Contravariant.

    contramap ≡ over contramapped
    

    >>> getPredicate (over contramapped (*2) (Predicate even)) 5
    True
    

    >>> getOp (over contramapped (*5) (Op show)) 100
    "500"
    

    >>> Prelude.map ($ 1) $ over (mapped . _Unwrapping' Op . contramapped) (*12) [(*2),(+1),(^3)]
    [24,13,1728]
    

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