I do think something has to be done to have an Eq and Ord with more strict laws.
* Operators in Eq and Ord diverge iff any of their parameters are bottom. * The default definitions of (/=), (<), (>) and `compare` are law. * (==) is reflexive and transitive * (<=) is antisymmetric ((x <= y && y <= x) `implies` (x == y)) * (<=) is 'total' (x <= y || y <= x) * (<=) is transitive Currently, reflexivity of (==) is broken in the Prelude (let x = 0/0 in x == x). I know this is for IEEE 754 compliance, but c'mon, this is Haskell, we can have better ways of dealing with NaNs. -Stijn
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