module Math.FiniteCategories.CommaCategory.Example
(
main
)
where
import qualified Data.WeakSet as Set
import Data.WeakSet.Safe
import Data.WeakMap.Safe
import Math.FiniteCategory
import Math.Categories
import Math.FiniteCategories
import Math.IO.FiniteCategories.ExportGraphViz
import Math.IO.PrettyPrint
main :: IO ()
main :: IO ()
main = do
String -> IO ()
putStrLn String
"Start of Math.FiniteCategories.CommaCategory.Example"
NumberCategory -> String -> IO ()
forall o m c.
(Eq o, PrettyPrint o, PrettyPrint m, Morphism m o,
FiniteCategory c m o) =>
c -> String -> IO ()
catToPdf (Natural -> NumberCategory
numberCategory Natural
4) String
"OutputGraphViz/Examples/FiniteCategories/CommaCategory/4"
let Just CommaCategory
NumberCategory
(IsSmallerThan Natural)
Natural
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
slice = NumberCategory
-> Natural
-> Maybe
(CommaCategory
NumberCategory
(IsSmallerThan Natural)
Natural
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural)
forall c m o.
(FiniteCategory c m o, Morphism m o, Eq c, Eq m, Eq o) =>
c -> o -> Maybe (CommaCategory c m o One One One c m o)
sliceCategory (Natural -> NumberCategory
numberCategory Natural
4) Natural
2
let Just CommaCategory
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
coslice = NumberCategory
-> Natural
-> Maybe
(CommaCategory
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural)
forall c m o.
(FiniteCategory c m o, Morphism m o, Eq c, Eq m, Eq o) =>
c -> o -> Maybe (CommaCategory One One One c m o c m o)
cosliceCategory (Natural -> NumberCategory
numberCategory Natural
4) Natural
2
CommaCategory
NumberCategory
(IsSmallerThan Natural)
Natural
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
-> String -> IO ()
forall o m c.
(Eq o, PrettyPrint o, PrettyPrint m, Morphism m o,
FiniteCategory c m o) =>
c -> String -> IO ()
catToPdf CommaCategory
NumberCategory
(IsSmallerThan Natural)
Natural
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
slice String
"OutputGraphViz/Examples/FiniteCategories/CommaCategory/slice2"
CommaCategory
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
-> String -> IO ()
forall o m c.
(Eq o, PrettyPrint o, PrettyPrint m, Morphism m o,
FiniteCategory c m o) =>
c -> String -> IO ()
catToPdf CommaCategory
One
One
One
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
coslice String
"OutputGraphViz/Examples/FiniteCategories/CommaCategory/coslice2"
CommaCategory
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
-> String -> IO ()
forall o m c.
(Eq o, PrettyPrint o, PrettyPrint m, Morphism m o,
FiniteCategory c m o) =>
c -> String -> IO ()
catToPdf (NumberCategory
-> CommaCategory
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
NumberCategory
(IsSmallerThan Natural)
Natural
forall c m o.
(FiniteCategory c m o, Morphism m o, Eq c, Eq m, Eq o) =>
c -> CommaCategory c m o c m o c m o
arrowCategory (Natural -> NumberCategory
numberCategory Natural
4)) String
"OutputGraphViz/Examples/FiniteCategories/CommaCategory/arrow"
String -> IO ()
putStrLn String
"End of Math.FiniteCategories.CommaCategory.Example"