Wow, there are so many people interested in this:)
After reading the replies and some trail and error, now I think I need to look 
into Numeric Prelude first. I hadn't known of NP until reading Richard 
O'Keefe's reply. I will also try purely syntactic expansion with TH, but I 
haven't used TH seriously anyway.

On a side note, if we consider typeclasses as predicates on types, then 
(especially with the extensions enabled) the type system looks extremely like a 
obfuscated logic programming language.With existential types it even starts to 
look like a first-order thereom prover. 
At present we can easily express different flavors of conjunction, but 
expressing disjunction is hard. And that's why the Prelude can cause problems 
here.

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