FiniteCategories-0.1.0.0: Finite categories and usual categorical constructions on them.

Index

!-Utils.AssociationList
!-!Utils.AssociationList
!-.Utils.AssociationList
!-?Utils.AssociationList
&&&Set.FinSet
@FiniteCategory.FiniteCategory
A 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Two
3 (Data Constructor)UsualCategories.Three
4 (Data Constructor)UsualCategories.Square
5 (Data Constructor)UsualCategories.Parallel
6 (Data Constructor)UsualCategories.Hat
apexConeCategory.ConeCategory
arFiniteCategory.FiniteCategory
arFromFiniteCategory.FiniteCategory
arFrom2FiniteCategory.FiniteCategory
ArrowCompositionGraph.CompositionGraph
arrowCommaCategory.CommaCategory
ArrowBetweenUnknownObjectsFiniteCategory.FiniteCategory
arrowsFiniteCategory.FiniteCategory
ArrowsNotExhaustiveFiniteCategory.FiniteCategory
arrowsNotMappedCat.PartialFinCat
arrowsNotMappedToCat.PartialFinCat
arToFiniteCategory.FiniteCategory
arTo2FiniteCategory.FiniteCategory
AssociationListUtils.AssociationList
assocListToFunctUtils.AssociationList
B 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Two
3 (Data Constructor)UsualCategories.Three
4 (Data Constructor)UsualCategories.Square
5 (Data Constructor)UsualCategories.Parallel
6 (Data Constructor)UsualCategories.Hat
BeginArrowIO.Parsers.Lexer
BeginSrcIO.Parsers.Lexer
BeginTgtIO.Parsers.Lexer
bruteForceDecomposeFiniteCategory.FiniteCategory
C 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Three
3 (Data Constructor)UsualCategories.Square
4 (Data Constructor)UsualCategories.Hat
cardSet.FinSet
cartesianPowerUtils.CartesianProduct
cartesianProductUtils.CartesianProduct
categoryToGraphExportGraphViz.ExportGraphViz
catToDotExportGraphViz.ExportGraphViz
catToPdfExportGraphViz.ExportGraphViz
CGMorphism 
1 (Type/Class)CompositionGraph.CompositionGraph
2 (Data Constructor)CompositionGraph.CompositionGraph
checkFiniteCategoryPropertiesFiniteCategory.FiniteCategory
checkFunctorialityDiagram.Diagram
checkGeneratedFiniteCategoryPropertiesFiniteCategory.FiniteCategory
CoconeConeCategory.ConeCategory
CoconeCategoryConeCategory.ConeCategory
CoconeMorphismConeCategory.ConeCategory
coconesOfNadirConeCategory.ConeCategory
coconeToNaturalTransformationConeCategory.ConeCategory
codomain 
1 (Function)Set.FinOrdSet
2 (Function)Set.FinSet
codomainArrowsCat.PartialFinCat
codomainObjectsCat.PartialFinCat
colimitFunctorLimit.Limit
colimitsConeCategory.ConeCategory
CollectionSet.FinSet
CommaCategory 
1 (Type/Class)CommaCategory.CommaCategory
2 (Data Constructor)CommaCategory.CommaCategory
CommaMorphism 
1 (Type/Class)CommaCategory.CommaCategory
2 (Data Constructor)CommaCategory.CommaCategory
CommaObject 
1 (Type/Class)CommaCategory.CommaCategory
2 (Data Constructor)CommaCategory.CommaCategory
compFiniteCategory.FiniteCategory
completeMmapDiagram.Diagram
componentFunctorCategory.FunctorCategory
composeFiniteCategory.FiniteCategory
composeDiagDiagram.Diagram
compositeCompositionGraph.CompositionGraph
CompositionGraph 
1 (Type/Class)CompositionGraph.CompositionGraph
2 (Data Constructor)CompositionGraph.CompositionGraph
CompositionGraphErrorCompositionGraph.CompositionGraph
CompositionLawCompositionGraph.CompositionGraph
compositionLawCompositionGraph.CompositionGraph
compositionLawSCompositionGraph.SafeCompositionGraph
CompositionNotAssociativeFiniteCategory.FiniteCategory
ConeConeCategory.ConeCategory
ConeCategory 
1 (Type/Class)ConeCategory.LeftCone
2 (Data Constructor)ConeCategory.LeftCone
3 (Type/Class)ConeCategory.ConeCategory
ConeMorphismConeCategory.ConeCategory
conesOfApexConeCategory.ConeCategory
coneToDotExportGraphViz.ExportGraphViz
coneToNaturalTransformationConeCategory.ConeCategory
coneToPdfExportGraphViz.ExportGraphViz
constructLimitSet.FinSet
createAndWriteFileIO.CreateAndWriteFile
curryDiagramCurrying.Currying
DUsualCategories.Square
decompFiniteCategory.FiniteCategory
decomposeFiniteCategory.FiniteCategory
defaultDecomposeFiniteCategory.FiniteCategory
defaultGenArFiniteCategory.FiniteCategory
defaultMkRandomCompositionGraphRandomCompositionGraph.RandomCompositionGraph
defaultMkRandomDiagramRandomDiagram.RandomDiagram
DeleteCompositeMorphCompositionGraph.CompositionGraph
DeleteIdentityCompositionGraph.CompositionGraph
deleteMorphismCompositionGraph.CompositionGraph
deleteMorphismSCompositionGraph.SafeCompositionGraph
DeleteNonExistantObjectCompositionGraph.CompositionGraph
DeleteNonExistantObjectMorphCompositionGraph.CompositionGraph
deleteObjectCompositionGraph.CompositionGraph
deleteObjectSCompositionGraph.SafeCompositionGraph
Diagram 
1 (Type/Class)Diagram.Diagram
2 (Data Constructor)Diagram.Diagram
diagramToFinFunctorDiagram.Conversion
diagramToPartialFunctorDiagram.Conversion
diagToDotExportGraphViz.ExportGraphViz
diagToDot2ExportGraphViz.ExportGraphViz
diagToDotClusterExportGraphViz.ExportGraphViz
diagToPdfExportGraphViz.ExportGraphViz
diagToPdf2ExportGraphViz.ExportGraphViz
diagToPdfClusterExportGraphViz.ExportGraphViz
DiscreteCategory 
1 (Type/Class)UsualCategories.DiscreteCategory
2 (Data Constructor)UsualCategories.DiscreteCategory
DiscreteIdentity 
1 (Type/Class)UsualCategories.DiscreteCategory
2 (Data Constructor)UsualCategories.DiscreteCategory
DiscreteObject 
1 (Type/Class)UsualCategories.DiscreteCategory
2 (Data Constructor)UsualCategories.DiscreteCategory
domainArrowsCat.PartialFinCat
domainObjectsCat.PartialFinCat
doubleInclusionUtils.SetList
dupMorphFiniteCategory.FiniteCategory
dupObjFiniteCategory.FiniteCategory
ElemSet.FinSet
emptyFinSetSet.FinSet
EndArrowIO.Parsers.Lexer
EndSrcIO.Parsers.Lexer
EndTgtIO.Parsers.Lexer
enumAssocListsUtils.AssociationList
enumMapsUtils.EnumerateMaps
EqualsIO.Parsers.Lexer
F 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Two
3 (Data Constructor)UsualCategories.Three
4 (Data Constructor)UsualCategories.Square
5 (Data Constructor)UsualCategories.Parallel
6 (Data Constructor)UsualCategories.Hat
fFiniteCategory.FiniteCategory
faultyIdentityCompositionGraph.CompositionGraph
faultyMorphCompositionGraph.CompositionGraph
faultyObjCompositionGraph.CompositionGraph
faultySrcCompositionGraph.CompositionGraph
faultyTgtCompositionGraph.CompositionGraph
fg_hFiniteCategory.FiniteCategory
FHUsualCategories.Square
FinCat 
1 (Type/Class)Cat.FinCat
2 (Data Constructor)Cat.FinCat
FinFunctor 
1 (Type/Class)Cat.FinCat
2 (Data Constructor)Cat.FinCat
finFunctorToDiagramDiagram.Conversion
finFunctorToPartialFunctorDiagram.Conversion
FiniteCategoryFiniteCategory.FiniteCategory
FiniteCategoryErrorFiniteCategory.FiniteCategory
finiteCategoryToCompositionGraphCompositionGraph.CompositionGraph
finiteCategoryToSafeCompositionGraphCompositionGraph.SafeCompositionGraph
FinMap 
1 (Type/Class)Set.FinSet
2 (Data Constructor)Set.FinSet
finMapSet.FinSet
FinOrdMap 
1 (Type/Class)Set.FinOrdSet
2 (Data Constructor)Set.FinOrdSet
FinOrdSet 
1 (Type/Class)Set.FinOrdSet
2 (Data Constructor)Set.FinOrdSet
FinSetSet.FinSet
FinSetCat 
1 (Type/Class)Set.FinSet
2 (Data Constructor)Set.FinSet
firstCategoryProductCategory.ProductCategory
firstMorphismProductCategory.ProductCategory
firstObjectProductCategory.ProductCategory
foidLFiniteCategory.FiniteCategory
FreeSubcategory 
1 (Type/Class)Subcategories.FreeSubcategory
2 (Data Constructor)Subcategories.FreeSubcategory
fromListSet.FinSet
fst3Utils.Tuple
fullDiagramSubcategories.Subcategory
FullSubcategory 
1 (Type/Class)Subcategories.FullSubcategory
2 (Data Constructor)Subcategories.FullSubcategory
functionSet.FinOrdSet
FunctorCategory 
1 (Type/Class)FunctorCategory.FunctorCategory
2 (Data Constructor)FunctorCategory.FunctorCategory
functToAssocListUtils.AssociationList
f_ghFiniteCategory.FiniteCategory
G 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Three
3 (Data Constructor)UsualCategories.Square
4 (Data Constructor)UsualCategories.Parallel
5 (Data Constructor)UsualCategories.Hat
gFiniteCategory.FiniteCategory
genCompositionGraph.CompositionGraph
genArFiniteCategory.FiniteCategory
genArFromFiniteCategory.FiniteCategory
genArFrom2FiniteCategory.FiniteCategory
genArrowsFiniteCategory.FiniteCategory
genArToFiniteCategory.FiniteCategory
genArTo2FiniteCategory.FiniteCategory
generalizeTypeSet.FinSet
generalizeTypeSetCatSet.FinSet
GeneratedFiniteCategoryFiniteCategory.FiniteCategory
generatedFiniteCategoryToCompositionGraphCompositionGraph.CompositionGraph
generatedFiniteCategoryToSafeCompositionGraphCompositionGraph.SafeCompositionGraph
GeneratorIsNotAMorphismFiniteCategory.FiniteCategory
genToDotExportGraphViz.ExportGraphViz
genToPdfExportGraphViz.ExportGraphViz
getLabelCompositionGraph.CompositionGraph
getLabelSCompositionGraph.SafeCompositionGraph
GFUsualCategories.Three
GIUsualCategories.Square
GraphCompositionGraph.CompositionGraph
graphCompositionGraph.CompositionGraph
graphSCompositionGraph.SafeCompositionGraph
HUsualCategories.Square
hFiniteCategory.FiniteCategory
Hat 
1 (Type/Class)UsualCategories.Hat
2 (Data Constructor)UsualCategories.Hat
HatArUsualCategories.Hat
HatObUsualCategories.Hat
IUsualCategories.Square
IdA 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Two
3 (Data Constructor)UsualCategories.Three
4 (Data Constructor)UsualCategories.Square
5 (Data Constructor)UsualCategories.Parallel
6 (Data Constructor)UsualCategories.Hat
IdB 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Two
3 (Data Constructor)UsualCategories.Three
4 (Data Constructor)UsualCategories.Square
5 (Data Constructor)UsualCategories.Parallel
6 (Data Constructor)UsualCategories.Hat
IdC 
1 (Data Constructor)UsualCategories.V
2 (Data Constructor)UsualCategories.Three
3 (Data Constructor)UsualCategories.Square
4 (Data Constructor)UsualCategories.Hat
IdDUsualCategories.Square
IdentifyGeneratorCompositionGraph.CompositionGraph
identifyMorphismsCompositionGraph.CompositionGraph
identifyMorphismsSCompositionGraph.SafeCompositionGraph
identitiesFiniteCategory.FiniteCategory
IdentityIO.Parsers.Lexer
identityFiniteCategory.FiniteCategory
IdentityNotLeftNeutralFiniteCategory.FiniteCategory
IdentityNotRightNeutralFiniteCategory.FiniteCategory
idLFiniteCategory.FiniteCategory
idRFiniteCategory.FiniteCategory
idRofFiniteCategory.FiniteCategory
includedInSet.FinSet
inclusionFunctorConeCategory.LeftCone
indexAr1CommaCategory.CommaCategory
indexAr2CommaCategory.CommaCategory
indexSrcCommaCategory.CommaCategory
indexTgtCommaCategory.CommaCategory
initialObjectsFiniteCategory.FiniteCategory, ConeCategory.ConeCategory
insertMorphismCompositionGraph.CompositionGraph
InsertMorphismNonExistantSourceCompositionGraph.CompositionGraph
InsertMorphismNonExistantTargetCompositionGraph.CompositionGraph
insertMorphismSCompositionGraph.SafeCompositionGraph
insertObjectCompositionGraph.CompositionGraph
insertObjectSCompositionGraph.SafeCompositionGraph
intersectionSet.FinSet
inverseUtils.AssociationList
isCompCompositionGraph.CompositionGraph
isCompositeFiniteCategory.FiniteCategory
isCompSCompositionGraph.SafeCompositionGraph
isGenCompositionGraph.CompositionGraph
isGeneratorFiniteCategory.FiniteCategory
isGenSCompositionGraph.SafeCompositionGraph
isIdentityFiniteCategory.FiniteCategory
isInSet.FinSet
isIncludedInUtils.SetList
isInitialFiniteCategory.FiniteCategory
isNotIdentityFiniteCategory.FiniteCategory
isTerminalFiniteCategory.FiniteCategory
keysUtils.AssociationList
lawCompositionGraph.CompositionGraph
lawSCompositionGraph.SafeCompositionGraph
leftAdjointAdjunction.Adjunction
LeftCone 
1 (Type/Class)ConeCategory.LeftCone
2 (Data Constructor)ConeCategory.LeftCone
leftDiagCommaCategory.CommaCategory
limitFunctorLimit.Limit
limitsConeCategory.ConeCategory
MapsToIO.Parsers.Lexer
maxCyclesCompositionGraph.SafeCompositionGraph
maximumLoopDepthConfig.Config
maxNbCyclesCompositionGraph.SafeCompositionGraph
missingArFiniteCategory.FiniteCategory
mkArrowCategoryCommaCategory.CommaCategory
mkAssocListIdentityUtils.AssociationList
mkCoconeCategoryConeCategory.ConeCategory
mkCompositionGraphCompositionGraph.CompositionGraph
mkConeCategoryConeCategory.ConeCategory
mkConstantDiagramDiagram.Diagram
mkCosliceCategoryCommaCategory.CommaCategory
mkDiagonalFunctorDiagonalFunctor.DiagonalFunctor
mkDiagramDiagram.Diagram
mkDiscreteDiagramDiagram.Diagram
mkEmptyCompositionGraphCompositionGraph.CompositionGraph
mkEmptySafeCompositionGraphCompositionGraph.SafeCompositionGraph
mkHatDiagram.Diagram
mkIdentityDiagramDiagram.Diagram
mkParallelDiagram.Diagram
mkRandomCompositionGraphRandomCompositionGraph.RandomCompositionGraph
mkRandomDiagramRandomDiagram.RandomDiagram
mkSafeCompositionGraphCompositionGraph.SafeCompositionGraph
mkSelect0Diagram.Diagram
mkSelect1Diagram.Diagram
mkSelect2Diagram.Diagram
mkSelect3Diagram.Diagram
mkSliceCategoryCommaCategory.CommaCategory
mkTriangleDiagram.Diagram
mkVDiagram.Diagram
mmapDiagram.Diagram
mmapFCat.FinCat
mmapPFCat.PartialFinCat
morphCompositionGraph.CompositionGraph
MorphismFiniteCategory.FiniteCategory
MorphismDoesntDecomposesIntoGeneratorsFiniteCategory.FiniteCategory
MorphismsNotUniqueFiniteCategory.FiniteCategory
MorphismsShouldNotBeEqualFiniteCategory.FiniteCategory
nadirConeCategory.ConeCategory
NameIO.Parsers.Lexer
natToDotExportGraphViz.ExportGraphViz
natToPdfExportGraphViz.ExportGraphViz
NaturalTransformation 
1 (Type/Class)FunctorCategory.FunctorCategory
2 (Data Constructor)FunctorCategory.FunctorCategory
naturalTransformationToCoconeConeCategory.ConeCategory
naturalTransformationToConeConeCategory.ConeCategory
neMorphCompositionGraph.CompositionGraph
notGenFiniteCategory.FiniteCategory
NotTransitiveFiniteCategory.FiniteCategory
obFiniteCategory.FiniteCategory
objectImageDiagram.Diagram
objectsNotMappedCat.PartialFinCat
objectsNotMappedToCat.PartialFinCat
ObjectsNotUniqueFiniteCategory.FiniteCategory
omapDiagram.Diagram
omapFCat.FinCat
omapPFCat.PartialFinCat
One 
1 (Type/Class)UsualCategories.One
2 (Data Constructor)UsualCategories.One
OpOppositeCategory.OppositeCategory
OpMorphOppositeCategory.OppositeCategory
opOpOppositeCategory.OppositeCategory
opOpMorphOppositeCategory.OppositeCategory
OppositeCategoryOppositeCategory.OppositeCategory
OppositeMorphismOppositeCategory.OppositeCategory
Parallel 
1 (Type/Class)UsualCategories.Parallel
2 (Data Constructor)UsualCategories.Parallel
ParallelArUsualCategories.Parallel
ParallelObUsualCategories.Parallel
parserLexIO.Parsers.Lexer
parseSCGStringIO.Parsers.SafeCompositionGraph
PartialFinCat 
1 (Type/Class)Cat.PartialFinCat
2 (Data Constructor)Cat.PartialFinCat
PartialFunctor 
1 (Type/Class)Cat.PartialFinCat
2 (Data Constructor)Cat.PartialFinCat
partialFunctorToDiagramDiagram.Conversion
partialFunctorToFinFunctorDiagram.Conversion
PathCompositionGraph.CompositionGraph
pathCompositionGraph.CompositionGraph
pathSCompositionGraph.SafeCompositionGraph
pickOneUtils.Sample
postWhiskeringFunctorCategory.FunctorCategory
powerFinOrdSetSet.FinOrdSet
powerFinSetSet.FinSet
powerListUtils.SetList
pprintIO.PrettyPrint
pprintFunctionIO.PrettyPrint
PreSheafYonedaEmbedding.YonedaEmbedding
PreSheavesCategoryYonedaEmbedding.YonedaEmbedding
PreSheavesNatTransfoYonedaEmbedding.YonedaEmbedding
PrettyPrintableIO.PrettyPrint
preWhiskeringFunctorCategory.FunctorCategory
ProductCategory 
1 (Type/Class)ProductCategory.ProductCategory
2 (Data Constructor)ProductCategory.ProductCategory
ProductMorphism 
1 (Type/Class)ProductCategory.ProductCategory
2 (Data Constructor)ProductCategory.ProductCategory
ProductObject 
1 (Type/Class)ProductCategory.ProductCategory
2 (Data Constructor)ProductCategory.ProductCategory
RawPathCompositionGraph.CompositionGraph
readCGFileIO.Parsers.CompositionGraph
readFSCGFileIO.Parsers.SafeCompositionGraphFunctor
readSCGFileIO.Parsers.SafeCompositionGraph
realSourceFiniteCategory.FiniteCategory
realTargetFiniteCategory.FiniteCategory
removeKeyUtils.AssociationList
removeValueUtils.AssociationList
ReplaceCompositeMorphismCompositionGraph.CompositionGraph
replaceMorphismCompositionGraph.CompositionGraph
replaceMorphismSCompositionGraph.SafeCompositionGraph
ReplaceNonExistantObjectCompositionGraph.CompositionGraph
replaceObjectCompositionGraph.CompositionGraph
replaceObjectSCompositionGraph.SafeCompositionGraph
ResultingCategoryErrorCompositionGraph.CompositionGraph
rightAdjointAdjunction.Adjunction
rightDiagCommaCategory.CommaCategory
sFiniteCategory.FiniteCategory
SafeCompositionGraph 
1 (Type/Class)CompositionGraph.SafeCompositionGraph
2 (Data Constructor)CompositionGraph.SafeCompositionGraph
sampleUtils.Sample
SCGIO.Parsers.SafeCompositionGraph
SCGMorphism 
1 (Type/Class)CompositionGraph.SafeCompositionGraph
2 (Data Constructor)CompositionGraph.SafeCompositionGraph
secondCategoryProductCategory.ProductCategory
secondMorphismProductCategory.ProductCategory
secondObjectProductCategory.ProductCategory
setsSet.FinOrdSet
showFunctionIO.Show
singletonSet.FinSet
snd3Utils.Tuple
sourceFiniteCategory.FiniteCategory
sourceCatFunctorCategory.FunctorCategory
Square 
1 (Type/Class)UsualCategories.Square
2 (Data Constructor)UsualCategories.Square
SquareArUsualCategories.Square
SquareObUsualCategories.Square
srcDiagram.Diagram
srcCMCommaCategory.CommaCategory
srcFCat.FinCat
srcNTFunctorCategory.FunctorCategory
srcPFCat.PartialFinCat
stripIO.Parsers.Lexer
stripDiagramSubcategories.Subcategory
Subcategory 
1 (Type/Class)Subcategories.Subcategory
2 (Data Constructor)Subcategories.Subcategory
switchArgCurrying.Currying
tFiniteCategory.FiniteCategory
targetFiniteCategory.FiniteCategory
targetCatFunctorCategory.FunctorCategory
terminalObjectsFiniteCategory.FiniteCategory, ConeCategory.ConeCategory
tgtDiagram.Diagram
tgtCMCommaCategory.CommaCategory
tgtFCat.FinCat
tgtNTFunctorCategory.FunctorCategory
tgtPFCat.PartialFinCat
Three 
1 (Type/Class)UsualCategories.Three
2 (Data Constructor)UsualCategories.Three
ThreeArUsualCategories.Three
ThreeObUsualCategories.Three
TokenIO.Parsers.Lexer
toListSet.FinSet
trd3Utils.Tuple
Two 
1 (Type/Class)UsualCategories.Two
2 (Data Constructor)UsualCategories.Two
TwoArUsualCategories.Two
TwoObUsualCategories.Two
uncurry3Utils.Tuple
uncurryDiagramCurrying.Currying
unidentifyMorphismCompositionGraph.CompositionGraph
unidentifyMorphismSCompositionGraph.SafeCompositionGraph
UnidentifyNonExistantMorphismCompositionGraph.CompositionGraph
unionSet.FinSet
V 
1 (Type/Class)UsualCategories.V
2 (Data Constructor)UsualCategories.V
valuesUtils.AssociationList
VArUsualCategories.V
VObUsualCategories.V
writeCGFileIO.Parsers.CompositionGraph
writeSCGFileIO.Parsers.SafeCompositionGraph
WrongDecompositionFiniteCategory.FiniteCategory
WrongSourceFiniteCategory.FiniteCategory
WrongTargetFiniteCategory.FiniteCategory
yonedaEmbeddingYonedaEmbedding.YonedaEmbedding
Zero 
1 (Type/Class)UsualCategories.Zero
2 (Data Constructor)UsualCategories.Zero
|*|Utils.CartesianProduct
|^|Utils.CartesianProduct
|||Set.FinSet