Algebra.Lattice.M3

Documentation

data M3

\(M_3\), is smallest non-distributive, yet modular lattice.

Constructors

M3o

M3a

M3b

M3c

M3i

Instances

Arbitrary M3

Defined in Algebra.Lattice.M3

Methods

arbitrary :: Gen M3

shrink :: M3 -> [M3]

CoArbitrary M3

Defined in Algebra.Lattice.M3

Methods

coarbitrary :: M3 -> Gen b -> Gen b

Function M3

Defined in Algebra.Lattice.M3

Methods

function :: (M3 -> b) -> M3 :-> b

Data M3

Defined in Algebra.Lattice.M3

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> M3 -> c M3

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c M3

toConstr :: M3 -> Constr

dataTypeOf :: M3 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c M3)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c M3)

gmapT :: (forall b. Data b => b -> b) -> M3 -> M3

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> M3 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> M3 -> r

gmapQ :: (forall d. Data d => d -> u) -> M3 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> M3 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> M3 -> m M3

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> M3 -> m M3

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> M3 -> m M3

Bounded M3

Defined in Algebra.Lattice.M3

Methods

minBound :: M3

maxBound :: M3

Enum M3

Defined in Algebra.Lattice.M3

Methods

succ :: M3 -> M3

pred :: M3 -> M3

toEnum :: Int -> M3

fromEnum :: M3 -> Int

enumFrom :: M3 -> [M3]

enumFromThen :: M3 -> M3 -> [M3]

enumFromTo :: M3 -> M3 -> [M3]

enumFromThenTo :: M3 -> M3 -> M3 -> [M3]

Generic M3

Defined in Algebra.Lattice.M3

Associated Types

type Rep M3 :: Type -> Type

Methods

from :: M3 -> Rep M3 x

to :: Rep M3 x -> M3

Read M3

Defined in Algebra.Lattice.M3

Methods

readsPrec :: Int -> ReadS M3

readList :: ReadS [M3]

readPrec :: ReadPrec M3

readListPrec :: ReadPrec [M3]

Show M3

Defined in Algebra.Lattice.M3

Methods

showsPrec :: Int -> M3 -> ShowS

show :: M3 -> String

showList :: [M3] -> ShowS

NFData M3

Defined in Algebra.Lattice.M3

Methods

rnf :: M3 -> ()

Eq M3

Defined in Algebra.Lattice.M3

Methods

(==) :: M3 -> M3 -> Bool

(/=) :: M3 -> M3 -> Bool

Ord M3

Defined in Algebra.Lattice.M3

Methods

compare :: M3 -> M3 -> Ordering

(<) :: M3 -> M3 -> Bool

(<=) :: M3 -> M3 -> Bool

(>) :: M3 -> M3 -> Bool

(>=) :: M3 -> M3 -> Bool

max :: M3 -> M3 -> M3

min :: M3 -> M3 -> M3

Hashable M3

Defined in Algebra.Lattice.M3

Methods

hashWithSalt :: Int -> M3 -> Int

hash :: M3 -> Int

BoundedJoinSemiLattice M3

Defined in Algebra.Lattice.M3

Methods

bottom :: M3

BoundedMeetSemiLattice M3

Defined in Algebra.Lattice.M3

Methods

top :: M3

Lattice M3

Defined in Algebra.Lattice.M3

Methods

(\/) :: M3 -> M3 -> M3

(/\) :: M3 -> M3 -> M3

PartialOrd M3

Defined in Algebra.Lattice.M3

Methods

leq :: M3 -> M3 -> Bool

comparable :: M3 -> M3 -> Bool

Finite M3

Defined in Algebra.Lattice.M3

Methods

universeF :: [M3]

cardinality :: Tagged M3 Natural

Universe M3

Defined in Algebra.Lattice.M3

Methods

universe :: [M3]

type Rep M3

Defined in Algebra.Lattice.M3

type Rep M3 = D1 ('MetaData "M3" "Algebra.Lattice.M3" "lattices-2.2-ExsECSVnOmtEcARHt0Jtvl" 'False) ((C1 ('MetaCons "M3o" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "M3a" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "M3b" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "M3c" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "M3i" 'PrefixI 'False) (U1 :: Type -> Type))))