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Cartesian examples?

haskellx18/code.hs

Lines 100 to 106 in 0e12125

instance Cartesian (->) where
first :: (a -> b) -> (a, c) -> (b, c)
first f = f `cross` id
instance Functor f => Cartesian (Star f) where
first :: Star f a b -> Star f (a, c) (b, c)
first (Star f) = Star $ (\(fx, y) -> (, y) <$> fx) . (f `cross` id)

First of all, thanks for the great talk at HaskellX 18', I was wondering could you please provide more details on the Cartesian, for example how could it be used to solve real world task? (i.e. how could Star be used with Cartesian)? Thanks.

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