algebra-4.3: Constructive abstract algebra

Safe HaskellNone
LanguageHaskell98

Numeric.Coalgebra.Categorical

Documentation

newtype Morphism a Source #

Constructors

Morphism a 

Instances

(Commutative r, Monoidal r, Semiring r, PartialSemigroup a) => Coalgebra r (Morphism a) Source # 

Methods

comult :: (Morphism a -> r) -> Morphism a -> Morphism a -> r Source #

(Commutative r, Monoidal r, Semiring r, PartialMonoid a) => CounitalCoalgebra r (Morphism a) Source # 

Methods

counit :: (Morphism a -> r) -> r Source #

Eq a => Eq (Morphism a) Source # 

Methods

(==) :: Morphism a -> Morphism a -> Bool #

(/=) :: Morphism a -> Morphism a -> Bool #

Data a => Data (Morphism a) Source # 

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Morphism a -> c (Morphism a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Morphism a) #

toConstr :: Morphism a -> Constr #

dataTypeOf :: Morphism a -> DataType #

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (Morphism a)) #

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Morphism a)) #

gmapT :: (forall b. Data b => b -> b) -> Morphism a -> Morphism a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Morphism a -> r #

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Morphism a -> r #

gmapQ :: (forall d. Data d => d -> u) -> Morphism a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Morphism a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Morphism a -> m (Morphism a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Morphism a -> m (Morphism a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Morphism a -> m (Morphism a) #

Ord a => Ord (Morphism a) Source # 

Methods

compare :: Morphism a -> Morphism a -> Ordering #

(<) :: Morphism a -> Morphism a -> Bool #

(<=) :: Morphism a -> Morphism a -> Bool #

(>) :: Morphism a -> Morphism a -> Bool #

(>=) :: Morphism a -> Morphism a -> Bool #

max :: Morphism a -> Morphism a -> Morphism a #

min :: Morphism a -> Morphism a -> Morphism a #

Read a => Read (Morphism a) Source # 
Show a => Show (Morphism a) Source # 

Methods

showsPrec :: Int -> Morphism a -> ShowS #

show :: Morphism a -> String #

showList :: [Morphism a] -> ShowS #

PartialSemigroup a => PartialSemigroup (Morphism a) Source # 

Methods

padd :: Morphism a -> Morphism a -> Maybe (Morphism a) Source #

PartialMonoid a => PartialMonoid (Morphism a) Source # 

Methods

pzero :: Morphism a Source #

PartialGroup a => PartialGroup (Morphism a) Source #