numeric-prelude-0.0.2: An experimental alternative hierarchy of numeric type classes Source code Contents Index

Algebra.Laws

Description

Define common properties that can be used e.g. for automated tests. Cf. to Test.QuickCheck.Utils.

Documentation

commutative :: Eq a => (b -> b -> a) -> b -> b -> Bool Source

associative :: Eq a => (a -> a -> a) -> a -> a -> a -> Bool Source

leftIdentity :: Eq a => (b -> a -> a) -> b -> a -> Bool Source

rightIdentity :: Eq a => (a -> b -> a) -> b -> a -> Bool Source

identity :: Eq a => (a -> a -> a) -> a -> a -> Bool Source

leftZero :: Eq a => (a -> a -> a) -> a -> a -> Bool Source

rightZero :: Eq a => (a -> a -> a) -> a -> a -> Bool Source

zero :: Eq a => (a -> a -> a) -> a -> a -> Bool Source

leftInverse :: Eq a => (b -> b -> a) -> (b -> b) -> a -> b -> Bool Source

rightInverse :: Eq a => (b -> b -> a) -> (b -> b) -> a -> b -> Bool Source

inverse :: Eq a => (b -> b -> a) -> (b -> b) -> a -> b -> Bool Source

leftDistributive :: Eq a => (a -> b -> a) -> (a -> a -> a) -> b -> a -> a -> Bool Source

rightDistributive :: Eq a => (b -> a -> a) -> (a -> a -> a) -> b -> a -> a -> Bool Source

homomorphism :: Eq a => (b -> a) -> (b -> b -> b) -> (a -> a -> a) -> b -> b -> Bool Source

rightCascade :: Eq a => (b -> b -> b) -> (a -> b -> a) -> a -> b -> b -> Bool Source

leftCascade :: Eq a => (b -> b -> b) -> (b -> a -> a) -> a -> b -> b -> Bool Source

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