| Safe Haskell | Safe |
|---|---|
| Language | Haskell2010 |
Test.Validity.Relations.Antisymmetry
- antisymmetricOnElemsWithEquality :: (a -> a -> Bool) -> (a -> a -> Bool) -> a -> a -> Bool
- antisymmetryOnGensWithEquality :: Show a => (a -> a -> Bool) -> Gen (a, a) -> (a -> a -> Bool) -> Property
- antisymmetryOnGensEq :: (Show a, Eq a) => (a -> a -> Bool) -> Gen (a, a) -> Property
- antisymmetryOnValid :: (Show a, Eq a, GenValidity a) => (a -> a -> Bool) -> Property
- antisymmetry :: (Show a, Eq a, GenValidity a) => (a -> a -> Bool) -> Property
- antisymmetryOnArbitrary :: (Show a, Eq a, Arbitrary a) => (a -> a -> Bool) -> Property
Documentation
antisymmetricOnElemsWithEquality Source #
Arguments
| :: (a -> a -> Bool) | A relation |
| -> (a -> a -> Bool) | An equivalence relation |
| -> a | |
| -> a | Two elements |
| -> Bool |
\[ Antisymmetric(\prec, \doteq) \quad\equiv\quad \forall a, b: ((a \prec b) \wedge (b \prec a)) \Rightarrow (a \doteq b) \]
antisymmetryOnGensWithEquality :: Show a => (a -> a -> Bool) -> Gen (a, a) -> (a -> a -> Bool) -> Property Source #
antisymmetryOnValid :: (Show a, Eq a, GenValidity a) => (a -> a -> Bool) -> Property Source #
antisymmetry :: (Show a, Eq a, GenValidity a) => (a -> a -> Bool) -> Property Source #