category-theory-presentation/categories/30_How/200_Monads/030_Natural_Transformation_Examples_3_4.html
2013-02-28 16:49:12 +01:00

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<h2 id="natural-transformation-examples-34">Natural Transformation Examples (3/4)</h2>
<pre><code class="haskell small">toMaybe :: [a] -> Maybe a
toMaybe [] = Nothing
toMaybe (x:xs) = Just x</pre>
</code>
<p><code>toMaybe</code> is a natural transformation. It is also a morphism from <code>[]</code> to <code>Maybe</code> in the Category of \(\Hask\) endofunctors.</p>
<img style="float:left;width:30%" src="categories/img/mp/nattrans-list-maybe.png" alt="natural transformation commutative diagram"/>
<figure style="float:right;width:60%">
<img style="width:40%" src="categories/img/mp/list-maybe-endofunctor-morphism.png" alt="natural transformation commutative diagram"/>
</figure>