+{-# RULES
+"compose/arr" forall f g .
+ arr f >>> arr g = arr (f >>> g)
+"first/arr" forall f .
+ first (arr f) = arr (first f)
+"second/arr" forall f .
+ second (arr f) = arr (second f)
+"product/arr" forall f g .
+ arr f *** arr g = arr (f *** g)
+"fanout/arr" forall f g .
+ arr f &&& arr g = arr (f &&& g)
+"compose/first" forall f g .
+ first f >>> first g = first (f >>> g)
+"compose/second" forall f g .
+ second f >>> second g = second (f >>> g)
+ #-}
+