haskell - Understanding Identity functor -


I am working my way through this. As mentioned in the tutorial, I copy some of the code below to represent factor structure and identity factor

  (F (ga)) example (Show (f (ga)) = & gt; FComp fga = C {unC :: f (ga)} Example (Show (f (ga)) => Show (Fcomp FGA) where Show (C X) = "FComp" ++x Example (Factor F, Fencer G) = & gt; Functor (FComp fg) where fmap h (C x) = C (fmap (fmap h) x) newtype id a = identification {unId :: a} deriving For example show Functor Id where fmap fx = Identity (f (unId x ))   

Now, this is what about the tutorial about the identifier factor :

  same Combined with the identity factor in the category was thought to be such. FQF = F IDAFF = F   

What I'm stuck with is that it is trying to think about the factor formation as FComp < / Code> Below is an example of the code given above: $ a = C (identity (bus (5 :: int)) $: ta :: FComp ID may be $ int $ B = C (bus (identity (5 :: int)) $ $: tbb :: FComp probably ID int

I type that type of a and B as shown in the example above In the context of fact factor

In the Haskell-applicable class theory, like many equations, f one ??? id < Em> b ≡ id a â f f In fact, only equivalences should be read as FCOMP ID may be IIT not as much as FComp probably ID difference in type tester; Although you can easily write

  idFunctorIso :: Functor f => FCMP F - ID -> F an idFunctorIso (CIDIDA) = FMAP UIID FIDCA IDFfactorISE :: Future F => F.A - & gt; The FComF id is an idFunctorIso 'fa = C $ fmap Identity fIdc   

which means that both types of similar information are 1 . By saying this we mean that they are isomorphic.


1 No information is lost in any direction, because idFunctorIso 'IdFunctor also ≡ id (such as Factor Law Fmap id ≡ id , with the fact that the inverse of new types of constructors is simpler than unC and unId )

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