General documentation

index
foundational types

Library

Aesop (file)
Builder
Apply
Basic
Cases
Constructors
Default
Forward
NormSimp
Tactic
Unfold
BuiltinRules (file)
ApplyHyps
Assumption
DestructProducts
Ext
Intros
Rfl
Split
Subst
Frontend
Extension (file)
Init
Attribute
Basic
Command
RuleExpr
Saturate
Tactic
Index (file)
Basic
Options (file)
Internal
Public
Rule (file)
Basic
Name
RuleSet (file)
Filter
Member
Name
RuleTac (file)
Forward (file)
Basic
Apply
Basic
Cases
ElabRuleTerm
FVarIdSubst
GoalDiff
Preprocess
Tactic
Script
Check
CtorNames
GoalWithMVars
Main
OptimizeSyntax
SScript
ScriptM
SpecificTactics
Step
StructureDynamic
StructureStatic
Tactic
TacticState
UScript
UScriptToSScript
Util
Search
Expansion (file)
Basic
Norm
Simp
Queue (file)
Class
ExpandSafePrefix
Main
RuleSelection
SearchM
Stats
Basic
Extension
Report
Tree (file)
AddRapp
Check
Data
ExtractProof
ExtractScript
Free
RunMetaM
State
Tracing
Traversal
TreeM
UnsafeQueue
Util
Tactic (file)
Ext
Unfold
Basic
EqualUpToIds
UnionFind
UnorderedArraySet
Check
Constants
ElabM
Exception
Main
Nanos
Percent
RulePattern
Saturate
Tracing
Batteries (file)
Classes
Cast
Order
RatCast
SatisfiesM
CodeAction (file)
Attr
Basic
Deprecated
Misc
Control
ForInStep (file)
Basic
Lemmas
Nondet
Basic
Lemmas
Data
Array (file)
Init
Lemmas
Basic
Lemmas
Match
Merge
Monadic
OfFn
Pairwise
BinomialHeap (file)
Basic
Lemmas
DList (file)
Basic
Lemmas
Fin (file)
Basic
Lemmas
HashMap (file)
Basic
Lemmas
WF
List (file)
Init
Lemmas
Basic
Count
EraseIdx
Lemmas
OfFn
Pairwise
Perm
MLList (file)
Basic
Heartbeats
IO
Nat (file)
Basic
Bisect
Gcd
Lemmas
RBMap (file)
Alter
Basic
Depth
Lemmas
WF
Range (file)
Lemmas
Rat (file)
Basic
Lemmas
String (file)
Basic
Lemmas
Matcher
UnionFind (file)
Basic
Lemmas
Vector (file)
Basic
Lemmas
AssocList
BinaryHeap
ByteArray
ByteSubarray
Char
FloatArray
LazyList
PairingHeap
UInt
Lean
IO
Process
Meta
Basic
DiscrTree
Expr
Inaccessible
InstantiateMVars
SavedState
Simp
UnusedNames
System
IO
Util
EnvSearch
AttributeExtra
Delaborator
Except
Expr
Float
HashMap
HashSet
Json
MonadBacktrack
NameMap
NameMapAttribute
PersistentHashMap
PersistentHashSet
Position
Syntax
TagAttribute
Linter (file)
UnnecessarySeqFocus
UnreachableTactic
Tactic
Lint (file)
Basic
Frontend
Misc
Simp
TypeClass
Alias
Basic
Case
Congr
Exact
HelpCmd
Init
Instances
Lemma
NoMatch
OpenPrivate
PermuteGoals
PrintDependents
PrintPrefix
SeqFocus
ShowUnused
SqueezeScope
Trans
Unreachable
Where
Test
Internal
DummyLabelAttr
DummyLibraryNote
DummyLibraryNote2
Util
Cache
ExtendedBinder
LibraryNote
Panic
Pickle
ProofWanted
Logic
StdDeprecations
WF
FLT (file)
AutomorphicForm
QuaternionAlgebra
AutomorphicRepresentation
Example
Basic
Reductions
DedekindDomain
FiniteAdeleRing
BaseChange
DivisionAlgebra
Finiteness
EllipticCurve
Torsion
ForMathlib
ActionTopology
Algebra
MiscLemmas
FromMathlib
Algebra
GaloisRepresentation
Cyclotomic
HardlyRamified
GlobalLanglandsConjectures
GLnDefs
GLzero
GroupScheme
FiniteFlat
HIMExperiments
flatness
HaarMeasure
Map
Hard
Results
MathlibExperiments
Coalgebra
Monoid
Sweedler
TensorProduct
HopfAlgebra
Basic
Frobenius
Frobenius2
FrobeniusRiou
IsCentralSimple
IsFrobenius
NumberField
AdeleRing
IsTotallyReal
TateCurve
TateCurve
FLT_files
ImportGraph
Imports
RequiredModules
Init (file)
Control (file)
Lawful (file)
Basic
Instances
Basic
EState
Except
ExceptCps
Id
Option
Reader
State
StateCps
StateRef
Data (file)
Array (file)
Subarray (file)
Split
Attach
Basic
BasicAux
BinSearch
Bootstrap
DecidableEq
GetLit
InsertionSort
Lemmas
MapIdx
Mem
QSort
TakeDrop
BitVec (file)
Basic
BasicAux
Bitblast
Folds
Lemmas
ByteArray (file)
Basic
Char (file)
Basic
Lemmas
Fin (file)
Basic
Bitwise
Fold
Iterate
Lemmas
Log2
FloatArray (file)
Basic
Format (file)
Basic
Instances
Macro
Syntax
Int (file)
Bitwise (file)
Lemmas
Basic
DivMod
DivModLemmas
Gcd
Lemmas
LemmasAux
Order
Pow
List (file)
Nat (file)
BEq
Basic
Count
Erase
Find
Modify
Pairwise
Range
Sublist
TakeDrop
Sort (file)
Basic
Impl
Lemmas
Attach
Basic
BasicAux
Control
Count
Erase
Find
Impl
Lemmas
MapIdx
MinMax
Monadic
Notation
Pairwise
Perm
Range
Sublist
TakeDrop
ToArray
Zip
Nat (file)
Bitwise (file)
Basic
Lemmas
Basic
Compare
Control
Div
Dvd
Gcd
Lcm
Lemmas
Linear
Log2
MinMax
Mod
Power2
SOM
Simproc
Option (file)
Attach
Basic
BasicAux
Instances
Lemmas
List
SInt (file)
Basic
String (file)
Basic
Extra
Lemmas
Sum (file)
Basic
Lemmas
ToString (file)
Basic
Macro
UInt (file)
Basic
BasicAux
Bitwise
Lemmas
Log2
AC
BEq
Basic
Bool
Cast
Channel
Float
Function
Hashable
NeZero
OfScientific
Ord
PLift
Prod
Queue
Random
Range
Repr
Stream
Subtype
ULift
Zero
Grind (file)
Cases
Lemmas
Norm
Tactics
Omega (file)
Coeffs
Constraint
Int
IntList
LinearCombo
Logic
System (file)
FilePath
IO
IOError
Mutex
Platform
Promise
ST
Uri
BinderPredicates
ByCases
Classical
Coe
Conv
Core
Dynamic
Ext
GetElem
Guard
Hints
MacroTrace
Meta
MetaTypes
Notation
NotationExtra
Prelude
PropLemmas
RCases
ShareCommon
SimpLemmas
Simproc
SizeOf
SizeOfLemmas
Tactics
TacticsExtra
Util
WF
WFTactics
While
Lake (file)
Build (file)
Actions
Basic
Common
Data
Executable
Facets
Fetch
Imports
Index
Info
Job
Key
Library
Module
Package
Run
Store
Targets
Topological
Trace
CLI
Actions
Build
Error
Config (file)
Context
Defaults
Dependency
Env
ExternLib
ExternLibConfig
FacetConfig
Glob
InstallPath
LeanConfig
LeanExe
LeanExeConfig
LeanLib
LeanLibConfig
Module
Monad
Opaque
Package
Script
TargetConfig
Workspace
WorkspaceConfig
DSL (file)
Attributes
AttributesCore
Config
DeclUtil
Extensions
Meta
Package
Require
Script
Targets
Load
Config
Toml (file)
Data
DateTime
Dict
Value
Elab (file)
Expression
Value
Grammar
Load
ParserUtil
Util
Binder
Casing
Compare
Cycle
DRBMap
EStateT
EquipT
Error
Exit
Family
FilePath
Git
IO
JsonObject
Lift
List
Lock
Log
Message
Name
NativeLib
Opaque
OrdHashSet
OrderedTagAttribute
Proc
RBArray
Store
StoreInsts
Sugar
Task
Version
Reservoir
Version
Lean (file)
Compiler (file)
IR (file)
Basic
Borrow
Boxing
Checker
CompilerM
CtorLayout
ElimDeadBranches
ElimDeadVars
EmitC
EmitUtil
ExpandResetReuse
Format
FreeVars
LiveVars
NormIds
PushProj
RC
ResetReuse
SimpCase
Sorry
UnboxResult
LCNF (file)
Simp (file)
Basic
Config
ConstantFold
DefaultAlt
DiscrM
FunDeclInfo
InlineCandidate
InlineProj
JpCases
Main
SimpM
SimpValue
Used
AlphaEqv
AuxDeclCache
BaseTypes
Basic
Bind
CSE
Check
Closure
CompatibleTypes
CompilerM
ConfigOptions
DeclHash
DependsOn
ElimDead
ElimDeadBranches
FVarUtil
FixedParams
FloatLetIn
ForEachExpr
InferType
Internalize
JoinPoints
LCtx
LambdaLifting
Level
Main
MonadScope
MonoTypes
OtherDecl
PassManager
Passes
PhaseExt
PrettyPrinter
PullFunDecls
PullLetDecls
ReduceArity
ReduceJpArity
Renaming
ScopeM
SpecInfo
Specialize
Testing
ToDecl
ToExpr
ToLCNF
ToMono
Types
Util
AtMostOnce
BorrowedAnnotation
CSimpAttr
ClosedTermCache
ConstFolding
ExportAttr
ExternAttr
FFI
ImplementedByAttr
InitAttr
InlineAttrs
Main
NameMangling
NeverExtractAttr
NoncomputableAttr
Old
Options
Specialize
Data (file)
Json (file)
Basic
Elab
FromToJson
Parser
Printer
Stream
Lsp (file)
Basic
Capabilities
Client
CodeActions
Communication
Diagnostics
Extra
InitShutdown
Internal
Ipc
LanguageFeatures
TextSync
Utf16
Workspace
Xml (file)
Basic
Parser
Array
AssocList
Format
FuzzyMatching
HashMap
HashSet
JsonRpc
KVMap
LBool
LOption
Name
NameMap
NameTrie
OpenDecl
Options
Parsec
PersistentArray
PersistentHashMap
PersistentHashSet
Position
PrefixTree
RBMap
RBTree
Rat
SMap
SSet
Trie
DocString (file)
Extension
Elab (file)
Deriving (file)
BEq
Basic
DecEq
FromToJson
Hashable
Inhabited
Nonempty
Ord
Repr
SizeOf
TypeName
Util
InfoTree (file)
Main
Types
PreDefinition (file)
Nonrec
Eqns
Structural (file)
BRecOn
Basic
Eqns
FindRecArg
IndGroupInfo
IndPred
Main
Preprocess
RecArgInfo
SmartUnfolding
WF (file)
Basic
Eqns
Fix
GuessLex
Ite
Main
PackMutual
Preprocess
Rel
Basic
EqUnfold
Eqns
Main
MkInhabitant
TerminationArgument
TerminationHint
Quotation (file)
Precheck
Util
Tactic (file)
BVDecide (file)
Frontend (file)
BVDecide (file)
Reflect
ReifiedBVExpr
ReifiedBVLogical
ReifiedBVPred
ReifiedLemmas
Reify
SatAtBVLogical
Attr
BVCheck
BVTrace
LRAT
Normalize
LRAT (file)
Trim
External
Conv (file)
Basic
Change
Congr
Delta
Pattern
Rewrite
Simp
Unfold
Omega (file)
Core
Frontend
MinNatAbs
OmegaM
Basic
BoolToPropSimps
BuiltinTactic
Cache
Calc
Change
Classical
Config
Congr
Delta
DiscrTreeKey
Doc
ElabTerm
Ext
FalseOrByContra
Generalize
Guard
Induction
Injection
LibrarySearch
Location
Match
Meta
NormCast
RCases
Repeat
Rewrite
Rewrites
Rfl
ShowTerm
Simp
SimpTrace
Simpa
Simproc
SolveByElim
Split
Symm
Unfold
App
Arg
Attributes
AutoBound
AuxDef
BinderPredicates
Binders
BindersUtil
BuiltinCommand
BuiltinEvalCommand
BuiltinNotation
BuiltinTerm
Calc
CheckTactic
Command
ComputedFields
Config
DeclModifiers
DeclNameGen
DeclUtil
Declaration
DeclarationRange
DefView
Do
ElabRules
Eval
Exception
Extra
Frontend
GenInjective
GuardMsgs
Import
Inductive
InheritDoc
LetRec
Level
Macro
MacroArgUtil
MacroRules
Match
MatchAltView
MatchExpr
Mixfix
MutualDef
Notation
Open
ParseImportsFast
PatternVar
Print
RecAppSyntax
SetOption
StructInst
Structure
Syntax
SyntheticMVars
Term
Time
Util
Language
Lean (file)
Types
Basic
Linter (file)
Basic
Builtin
ConstructorAsVariable
Deprecated
MissingDocs
Omit
UnusedVariables
Util
Meta (file)
ArgsPacker (file)
Basic
Constructions (file)
BRecOn
CasesOn
NoConfusion
RecOn
Match (file)
MatcherApp
Basic
Transform
Basic
CaseArraySizes
CaseValues
Match
MatchEqs
MatchEqsExt
MatchPatternAttr
MatcherInfo
Value
Tactic (file)
AC (file)
Main
Grind (file)
Attr
Cases
Core
Injection
Preprocessor
RevertAll
Types
Util
LinearArith (file)
Nat (file)
Basic
Simp
Solver
Basic
Main
Simp
Solver
Simp (file)
BuiltinSimprocs (file)
Array
BitVec
Char
Core
Fin
Int
List
Nat
String
UInt
Util
Attr
Diagnostics
Main
RegisterCommand
Rewrite
SimpAll
SimpCongrTheorems
SimpTheorems
Simproc
Types
Acyclic
Apply
Assert
Assumption
AuxLemma
Backtrack
Cases
Cleanup
Clear
Congr
Constructor
Contradiction
Delta
ElimInfo
FVarSubst
FunInd
Generalize
IndependentOf
Induction
Injection
Intro
LibrarySearch
NormCast
Refl
Rename
Repeat
Replace
Revert
Rewrite
Rewrites
Rfl
SolveByElim
Split
SplitIf
Subst
Symm
TryThis
Unfold
UnifyEq
Util
ACLt
AbstractMVars
AbstractNestedProofs
AppBuilder
Basic
Canonicalizer
Check
CheckTactic
Closure
Coe
CoeAttr
CollectFVars
CollectMVars
CompletionName
CongrTheorems
CtorRecognizer
DecLevel
Diagnostics
DiscrTree
DiscrTreeTypes
Eqns
Eval
ExprDefEq
ExprLens
ExprTraverse
ForEachExpr
FunInfo
GeneralizeTelescope
GeneralizeVars
GetUnfoldableConst
GlobalInstances
IndPredBelow
Inductive
InferType
Injective
Instances
Iterator
KAbstract
KExprMap
LazyDiscrTree
LevelDefEq
LitValues
MatchUtil
NatInstTesters
Offset
PPGoal
PProdN
RecursorInfo
Reduce
ReduceEval
SizeOf
Structure
SynthInstance
Transform
TransparencyMode
UnificationHint
WHNF
Parser (file)
Tactic (file)
Doc
Attr
Basic
Command
Do
Extension
Extra
Level
Module
StrInterpolation
Syntax
Term
Types
ParserCompiler (file)
Attribute
PrettyPrinter (file)
Delaborator (file)
Attributes
Basic
Builtins
FieldNotation
Options
SubExpr
TopDownAnalyze
Basic
Formatter
Parenthesizer
Server (file)
CodeActions (file)
Attr
Basic
Provider
FileWorker (file)
RequestHandling
SetupFile
Utils
WidgetRequests
Rpc (file)
Basic
Deriving
RequestHandling
AsyncList
Completion
CompletionItemData
FileSource
GoTo
ImportCompletion
InfoUtils
References
Requests
Snapshots
Utils
Watchdog
Util (file)
CollectAxioms
CollectFVars
CollectLevelMVars
CollectLevelParams
CollectMVars
Diff
FileSetupInfo
FindExpr
FindLevelMVar
FindMVar
FoldConsts
ForEachExpr
ForEachExprWhere
HasConstCache
Heartbeats
InstantiateLevelParams
LakePath
LeanOptions
MonadBacktrack
MonadCache
NumApps
NumObjs
OccursCheck
PPExt
Path
Paths
Profile
Profiler
PtrSet
RecDepth
Recognizers
ReplaceExpr
ReplaceLevel
SCC
SafeExponentiation
SearchPath
ShareCommon
Sorry
TestExtern
Trace
Widget (file)
Basic
Diff
InteractiveCode
InteractiveDiagnostic
InteractiveGoal
TaggedText
Types
UserWidget
AddDecl
Attributes
AuxRecursor
BuiltinDocAttr
Class
CoreM
Declaration
DeclarationRange
Environment
Eval
Exception
Expr
HeadIndex
Hygiene
ImportingFlag
InternalExceptionId
KeyedDeclsAttribute
LabelAttribute
LazyInitExtension
Level
LoadDynlib
LocalContext
Log
Message
MetavarContext
Modifiers
MonadEnv
ProjFns
ReducibilityAttrs
Replay
ReservedNameAction
ResolveName
Runtime
ScopedEnvExtension
Structure
SubExpr
Syntax
ToExpr
LeanSearchClient (file)
Basic
LoogleSyntax
Syntax
Mathlib (file)
Algebra
AddConstMap
Basic
Equiv
Algebra
Hom (file)
Rat
Subalgebra
Basic
Directed
IsSimpleOrder
MulOpposite
Operations
Order
Pointwise
Prod
Rank
Tower
Unitization
Basic
Bilinear
Defs
Equiv
Field
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Quasispectrum
Rat
RestrictScalars
Spectrum
Tower
Unitization
ZMod
Associated
Basic
OrderedCommMonoid
BigOperators
Group
Finset
List
Multiset
GroupWithZero
Action
Finset
Ring (file)
List
Multiset
Nat
Associated
Balance
Expect
Fin
Finprod
Finsupp
Intervals
Module
NatAntidiagonal
Option
Pi
RingEquiv
WithTop
Category
AlgebraCat
Basic
Limits
Monoidal
Symmetric
BialgebraCat
Basic
CoalgebraCat
Basic
ComonEquivalence
Monoidal
FGModuleCat
Basic
Limits
Grp
AB5
Abelian
Adjunctions
Basic
Biproducts
Colimits
EnoughInjectives
EpiMono
EquivalenceGroupAddGroup
FilteredColimits
FiniteGrp
ForgetCorepresentable
Images
Injective
Kernels
Limits
Preadditive
Subobject
ZModuleEquivalence
Zero
HopfAlgebraCat
Basic
ModuleCat
Differentials
Basic
Presheaf
Monoidal
Basic
Closed
Symmetric
Presheaf (file)
Abelian
ChangeOfRings
Colimits
EpiMono
Free
Limits
Monoidal
Pushforward
Sheafification
Sheafify
Sheaf (file)
Abelian
ChangeOfRings
Colimits
Free
Generators
Limits
PushforwardContinuous
Quasicoherent
Abelian
Adjunctions
Algebra
Basic
Biproducts
ChangeOfRings
Colimits
EnoughInjectives
EpiMono
FilteredColimits
Free
Images
Injective
Kernels
Limits
Products
Projective
Simple
Subobject
Tannaka
MonCat
Adjunctions
Basic
Colimits
FilteredColimits
Limits
Ring
Adjunctions
Basic
Colimits
Constructions
FilteredColimits
Instances
Limits
Semigrp
Basic
BoolRing
GrpWithZero
Central
Basic
Defs
CharP
Algebra
Basic
CharAndCard
Defs
ExpChar
IntermediateField
Invertible
Lemmas
LocalRing
MixedCharZero
Pi
Quotient
Reduced
Subring
Two
CharZero
Defs
Infinite
Lemmas
Quotient
ContinuedFractions
Computation
ApproximationCorollaries
Approximations
Basic
CorrectnessTerminating
TerminatesIffRat
Translations
Basic
ContinuantsRecurrence
ConvergentsEquiv
Determinant
TerminatedStable
Translations
DirectSum
AddChar
Algebra
Basic
Decomposition
Finsupp
Internal
LinearMap
Module
Ring
Divisibility
Basic
Prod
Units
EuclideanDomain
Basic
Defs
Field
Int
Field
Basic
Defs
Equiv
IsField
MinimalAxioms
Opposite
Power
Rat
Subfield
ULift
FreeMonoid
Basic
Count
Symbols
GCDMonoid
Basic
Finset
IntegrallyClosed
Multiset
Nat
Group
Action
Basic
Defs
End
Faithful
Opposite
Option
Pi
Pretransitive
Prod
Sigma
Sum
TypeTags
Units
Commute
Basic
Defs
Hom
Units
Equiv
Basic
TypeTags
Fin
Basic
Tuple
Hom
Basic
CompTypeclasses
Defs
End
Instances
Invertible
Basic
Defs
Pi
Basic
Lemmas
Pointwise
Finset
Basic
Interval
NatCard
Set (file)
Basic
Card
Semiconj
Basic
Defs
Units
Subgroup
Actions
Basic
Defs
Finite
MulOpposite
MulOppositeLemmas
Order
Pointwise
ZPowers
Submonoid
Basic
Defs
DistribMulAction
Membership
MulOpposite
Operations
Pointwise
Units
Subsemigroup
Basic
Defs
Membership
Operations
UniqueProds (file)
Basic
VectorSpace
Units (file)
Basic
Defs
Equiv
Hom
WithOne
Basic
Defs
AddChar
Aut
Basic
Center
Commutator
Conj
ConjFinite
Defs
Embedding
Even
EvenFunction
Ext
FiniteSupport
Indicator
InjSurj
Int
MinimalAxioms
Nat
NatPowAssoc
Opposite
PNatPowAssoc
Prod
Support
TypeTags
ULift
ZeroOne
GroupPower
IterateHom
GroupWithZero
Action
Basic
Defs
End
Faithful
Opposite
Pi
Prod
Units
Pointwise
Set (file)
Basic
Card
Finset
Units
Basic
Equiv
Lemmas
Basic
Center
Commute
Conj
Defs
Divisibility
Hom
Indicator
InjSurj
Invertible
NeZero
NonZeroDivisors
Opposite
Pi
Prod
Semiconj
ULift
WithZero
Homology
DerivedCategory
Ext (file)
Basic
ExactSequences
ExtClass
Basic
ExactFunctor
HomologySequence
ShortExact
SingleTriangle
Embedding
Basic
Boundary
Extend
HomEquiv
IsSupported
Restriction
TruncGE
Factorizations
Basic
HomotopyCategory (file)
DegreewiseSplit
HomComplex
HomComplexShift
HomologicalFunctor
MappingCone
Pretriangulated
Shift
ShiftSequence
ShortExact
SingleFunctors
Triangulated
ShortComplex
Ab
Abelian
Basic
ConcreteCategory
Exact
ExactFunctor
FunctorEquivalence
HomologicalComplex
Homology
LeftHomology
Limits
Linear
ModuleCat
Preadditive
PreservesHomology
QuasiIso
RightHomology
ShortExact
SnakeLemma
Additive
Augment
Bifunctor
BifunctorAssociator
BifunctorFlip
BifunctorHomotopy
BifunctorShift
CommSq
ComplexShape
ComplexShapeSigns
ConcreteCategory
DifferentialObject
ExactSequence
Functor
HomologicalBicomplex
HomologicalComplex
HomologicalComplexAbelian
HomologicalComplexBiprod
HomologicalComplexLimits
HomologySequence
HomologySequenceLemmas
Homotopy
HomotopyCofiber
ImageToKernel
Linear
LocalCohomology
Localization
Opposite
QuasiIso
Refinements
Single
SingleHomology
Square
TotalComplex
TotalComplexShift
TotalComplexSymmetry
Jordan
Basic
Lie
Derivation
AdjointAction
Basic
Killing
Semisimple
Basic
Defs
Weights
Basic
Cartan
Chain
Killing
Linear
RootSystem
Abelian
BaseChange
Basic
CartanExists
CartanMatrix
CartanSubalgebra
Character
Classical
DirectSum
Engel
EngelSubalgebra
Free
IdealOperations
InvariantForm
Killing
Matrix
Nilpotent
NonUnitalNonAssocAlgebra
Normalizer
OfAssociative
Quotient
Rank
SkewAdjoint
Sl2
Solvable
Subalgebra
Submodule
TensorProduct
TraceForm
UniversalEnveloping
Module
Equiv
Basic
Defs
Opposite
LinearMap
Basic
Defs
End
Polynomial
Prod
Rat
Star
Presentation
Basic
DirectSum
Finite
Free
Tautological
Submodule
Basic
Bilinear
Defs
EqLocus
Equiv
Invariant
IterateMapComap
Ker
Lattice
LinearMap
Localization
Map
Order
Pointwise
Range
RestrictScalars
ZLattice
Basic
Covolume
Zlattice
Basic
Covolume
Algebra
Basic
BigOperators
Bimodule
Card
CharacterModule
DedekindDomain
Defs
End
FinitePresentation
GradedModule
Hom
Injective
LocalizedModule
LocalizedModuleIntegers
MinimalAxioms
Opposite
Opposites
PID
Pi
PointwisePi
Prod
Projective
Rat
Torsion
ULift
ZMod
MonoidAlgebra
Basic
Defs
Degree
Division
Grading
Ideal
NoZeroDivisors
Support
ToDirectSum
MvPolynomial
Basic
Cardinal
Comap
CommRing
Counit
Degrees
Derivation
Division
Equiv
Expand
Funext
Invertible
Monad
PDeriv
Polynomial
Rename
Supported
Variables
NoZeroSMulDivisors
Basic
Defs
Pi
Prod
Order
Antidiag
Finsupp
Pi
Prod
Archimedean
Basic
Hom
Submonoid
BigOperators
Group
Finset
List
LocallyFinite
Multiset
GroupWithZero
List
Multiset
Ring
Finset
List
Multiset
Expect
CauSeq
Basic
BigOperators
Completion
Field
Canonical
Basic
Defs
Unbundled
Basic
Basic
Defs
InjSurj
Pi
Pointwise
Power
Rat
Subfield
Floor (file)
Div
Prime
Group
Action (file)
Synonym
Pointwise
Bounds
CompleteLattice
Unbundled
Abs
Basic
Int
Abs
Basic
Bounds
CompleteLattice
Cone
Defs
DenselyOrdered
Indicator
InjSurj
Instances
Int
Lattice
MinMax
Nat
Opposite
OrderIso
PiLex
PosPart
Prod
Synonym
TypeTags
Units
GroupWithZero
Action
Synonym
Unbundled (file)
Lemmas
Canonical
Submonoid
Synonym
WithZero
Hom
Basic
Monoid
Normed
Ring
Ultra
Interval
Set
Group
Instances
Monoid
Basic
Finset
Multiset
Module
Algebra
Defs
OrderedSMul
Pointwise
Rat
Synonym
Monoid
Canonical
Basic
Defs
Unbundled
Basic
Defs
ExistsOfLE
MinMax
OrderDual
Pow
TypeTags
WithTop
Basic
Defs
NatCast
OrderDual
Prod
Submonoid
ToMulBot
TypeTags
Units
WithTop
Nonneg
Field
Floor
Module
Ring
Positive
Field
Ring
Ring
Unbundled
Basic
Nonneg
Rat
Abs
Basic
Canonical
Cast
Cone
Defs
Finset
InjSurj
Int
Nat
Opposite
Pow
Prod
Rat
Star
Synonym
WithTop
Star
Basic
Conjneg
Prod
Sub
Unbundled
Basic
Hom
Basic
Canonical
Defs
Prod
WithTop
SuccPred (file)
TypeTags
AbsoluteValue
AddGroupWithTop
AddTorsor
Algebra
Chebyshev
CompleteField
EuclideanAbsoluteValue
Invertible
Kleene
Monovary
Pi
Pointwise
Rearrangement
Sum
ToIntervalMod
UpperLower
ZeroLEOne
PUnitInstances
Algebra
GCDMonoid
Module
Order
Pointwise
Stabilizer
Polynomial
Degree
CardPowDegree
Definitions
Lemmas
TrailingDegree
Module
AEval
Basic
FiniteDimensional
AlgebraMap
Basic
BigOperators
Bivariate
CancelLeads
Cardinal
Coeff
DenomsClearable
Derivation
Derivative
Div
EraseLead
Eval
Expand
FieldDivision
GroupRingAction
HasseDeriv
Identities
Induction
Inductions
Laurent
Lifts
Mirror
Monic
Monomial
PartialFractions
Reverse
RingDivision
Roots
Smeval
SpecificDegree
Splits
SumIteratedDerivative
Taylor
UnitTrinomial
Prime
Defs
Lemmas
Regular
Basic
Pow
SMul
Ring
Action
Basic
Field
Group
Invariant
Subobjects
Divisibility
Basic
Lemmas
Hom
Basic
Defs
Pointwise
Finset
Set
Semireal
Defs
Subring
Basic
IntPolynomial
MulOpposite
Order
Pointwise
Units
Subsemiring
Basic
Defs
MulOpposite
Order
Pointwise
AddAut
Aut
Basic
BooleanRing
Center
Centralizer
CentroidHom
Commute
CompTypeclasses
Defs
Equiv
Ext
Fin
Idempotents
Identities
InjSurj
Int
Invertible
MinimalAxioms
Nat
NegOnePow
Opposite
Parity
Pi
Prod
Rat
Regular
Semiconj
SumsOfSquares
ULift
Units
WithAbs
WithZero
Squarefree
Basic
Star
Basic
BigOperators
CHSH
Center
CentroidHom
Conjneg
Free
Module
NonUnitalSubalgebra
NonUnitalSubsemiring
Order
Pi
Pointwise
Prod
Rat
RingQuot
SelfAdjoint
StarAlgHom
StarRingHom
Subalgebra
Subsemiring
Unitary
Tropical
Basic
BigOperators
Lattice
Vertex
HVertexOperator
AddTorsor
AlgebraicCard
Bounds
CubicDiscriminant
DirectLimit
DualNumber
DualQuaternion
Exact
Expr
Free
FreeAlgebra
FreeNonUnitalNonAssocAlgebra
GeomSum
GradedMonoid
GradedMulAction
HierarchyDesign
IsPrimePow
LinearRecurrence
ModEq
NeZero
Notation
Opposites
PEmptyInstances
Periodic
QuadraticDiscriminant
Quandle
Quaternion
QuaternionBasis
Quotient
RingQuot
SMulWithZero
Symmetrized
TrivSqZeroExt
AlgebraicGeometry
Cover
Open
EllipticCurve
DivisionPolynomial
Basic
Degree
Affine
Group
J
Jacobian
NormalForms
Projective
VariableChange
Weierstrass
Modules
Presheaf
Sheaf
Tilde
Morphisms
Affine
AffineAnd
Basic
ClosedImmersion
Constructors
FinitePresentation
FiniteType
Immersion
IsIso
OpenImmersion
Preimmersion
Proper
QuasiCompact
QuasiSeparated
RingHomProperties
Separated
Smooth
UnderlyingMap
UniversallyClosed
PrimeSpectrum
Basic
IsOpenComapC
Jacobson
Maximal
Module
Noetherian
TensorProduct
ProjectiveSpectrum
Scheme
StructureSheaf
Topology
Sites
BigZariski
AffineScheme
FunctionField
GammaSpecAdjunction
Gluing
GluingOneHypercover
Limits
Noetherian
OpenImmersion
Properties
Pullbacks
RationalMap
ResidueField
Restrict
Scheme
Spec
SpreadingOut
Stalk
StructureSheaf
AlgebraicTopology
DoldKan
Compatibility
Decomposition
Degeneracies
Equivalence
EquivalenceAdditive
EquivalencePseudoabelian
Faces
FunctorGamma
FunctorN
GammaCompN
Homotopies
HomotopyEquivalence
NCompGamma
NReflectsIso
Normalized
Notations
PInfty
Projections
SplitSimplicialObject
FundamentalGroupoid
Basic
FundamentalGroup
InducedMaps
PUnit
Product
SimplyConnected
SimplicialCategory
Basic
SimplicialObject
SimplicialSet (file)
Basic
KanComplex
Monoidal
Nerve
Quasicategory
AlternatingFaceMapComplex
CechNerve
ExtraDegeneracy
KanComplex
MooreComplex
Nerve
Quasicategory
SimplexCategory
SimplicialObject
SingularSet
SplitSimplicialObject
TopologicalSimplex
Analysis
Analytic
Basic
CPolynomial
ChangeOrigin
Composition
Constructions
Inverse
IsolatedZeros
Linear
Meromorphic
OfScalars
Polynomial
RadiusLiminf
Uniqueness
Within
Asymptotics
AsymptoticEquivalent
Asymptotics
SpecificAsymptotics
SuperpolynomialDecay
Theta
BoxIntegral
Box
Basic
SubboxInduction
Partition
Additive
Basic
Filter
Measure
Split
SubboxInduction
Tagged
Basic
DivergenceTheorem
Integrability
CStarAlgebra
ContinuousFunctionalCalculus
Basic
Instances
Integral
Isometric
NonUnital
Order
PosPart
Restrict
Unique
Unital
Unitary
Module (file)
Constructions
Defs
Synonym
ApproximateUnit
Basic
Classes
ContinuousLinearMap
ContinuousMap
Exponential
GelfandDuality
Hom
Matrix
Multiplier
Spectrum
Unitization
lpSpace
Calculus
AddTorsor
AffineMap
Coord
BumpFunction
Basic
Convolution
FiniteDimension
InnerProduct
Normed
Conformal
InnerProduct
NormedSpace
ContDiff
Basic
Bounds
Defs
FTaylorSeries
FiniteDimension
RCLike
WithLp
Deriv
Abs
Add
AffineMap
Basic
Comp
Inv
Inverse
Linear
Mul
Pi
Polynomial
Pow
Prod
Shift
Slope
Star
Support
ZPow
FDeriv
Add
Analytic
Basic
Bilinear
Comp
Equiv
Extend
Linear
Measurable
Mul
Norm
Pi
Prod
RestrictScalars
Star
Symmetric
WithLp
Gradient
Basic
InverseFunctionTheorem
ApproximatesLinearOn
ContDiff
Deriv
FDeriv
FiniteDimensional
IteratedDeriv
Defs
Lemmas
LineDeriv
Basic
IntegrationByParts
Measurable
QuadraticMap
LocalExtr
Basic
LineDeriv
Polynomial
Rolle
Darboux
DiffContOnCl
Dslope
FirstDerivativeTest
FormalMultilinearSeries
Implicit
LHopital
LagrangeMultipliers
LogDeriv
MeanValue
Monotone
ParametricIntegral
ParametricIntervalIntegral
Rademacher
SmoothSeries
TangentCone
Taylor
UniformLimitsDeriv
Complex
Polynomial
Basic
UnitTrinomial
UnitDisc
Basic
UpperHalfPlane
Basic
Exp
FunctionsBoundedAtInfty
Manifold
Metric
Topology
AbelLimit
AbsMax
Angle
Arg
Asymptotics
Basic
CauchyIntegral
Circle
Conformal
Convex
Hadamard
HalfPlane
IsIntegral
Isometry
Liouville
LocallyUniformLimit
OpenMapping
OperatorNorm
PhragmenLindelof
Positivity
ReImTopology
RealDeriv
RemovableSingularity
Schwarz
TaylorSeries
Tietze
Convex
Cone
Basic
Closure
Extension
InnerDual
Pointed
Proper
SimplicialComplex
Basic
SpecificFunctions
Basic
Deriv
Pow
AmpleSet
Basic
Between
Birkhoff
Body
Caratheodory
Combination
Complex
Continuous
Contractible
Deriv
EGauge
Exposed
Extrema
Extreme
Function
Gauge
GaugeRescale
Hull
Independent
Integral
Intrinsic
Jensen
Join
KreinMilman
Measure
Mul
Normed
PartitionOfUnity
Quasiconvex
Radon
Segment
Side
Slope
Star
StoneSeparation
Strict
StrictConvexBetween
StrictConvexSpace
Strong
Topology
TotallyBounded
Uniform
Distribution
AEEqOfIntegralContDiff
FourierSchwartz
SchwartzSpace
Fourier
AddCircle
FourierTransform
FourierTransformDeriv
Inversion
PoissonSummation
RiemannLebesgueLemma
ZMod
FunctionalSpaces
SobolevInequality
InnerProductSpace
Adjoint
Basic
Calculus
ConformalLinearMap
Dual
EuclideanDist
GramSchmidtOrtho
JointEigenspace
LaxMilgram
LinearPMap
MeanErgodic
NormPow
OfNorm
Orientation
Orthogonal
PiL2
Positive
ProdL2
Projection
Rayleigh
Semisimple
Spectrum
StarOrder
Symmetric
TwoDim
WeakOperatorTopology
l2Space
LocallyConvex
AbsConvex
BalancedCoreHull
Barrelled
Basic
Bounded
ContinuousOfBounded
Polar
StrongTopology
WeakDual
WeakOperatorTopology
WeakSpace
WithSeminorms
Normed
Affine
AddTorsor
AddTorsorBases
ContinuousAffineMap
Isometry
MazurUlam
Algebra
Basic
Exponential
MatrixExponential
Norm
QuaternionExponential
Spectrum
TrivSqZeroExt
Unitization
UnitizationL1
Field
Basic
InfiniteSum
Lemmas
ProperSpace
Ultra
UnitBall
Group
SemiNormedGrp (file)
Completion
Kernels
AddCircle
AddTorsor
BallSphere
Basic
Bounded
CocompactMap
Completeness
Completion
Constructions
ControlledClosure
Hom
HomCompletion
InfiniteSum
Int
Lemmas
Pointwise
Quotient
Rat
Seminorm
Submodule
Tannery
Ultra
Uniform
ZeroAtInfty
Lp
LpEquiv
PiLp
ProdLp
WithLp
lpSpace
Module
Basic
Complemented
Completion
Dual
FiniteDimension
Ray
Span
WeakDual
Operator
Banach
BanachSteinhaus
BoundedLinearMaps
Compact
ContinuousLinearMap
LinearIsometry
WeakOperatorTopology
Order
Basic
Lattice
UpperLower
Ring
IsPowMulFaithful
Seminorm
SeminormFromBounded
SeminormFromConst
Ultra
Units
MulAction
NormedSpace
HahnBanach
Extension
SeparatingDual
Separation
Multilinear
Basic
Curry
OperatorNorm
Asymptotics
Basic
Bilinear
Completeness
Mul
NNNorm
NormedSpace
Prod
PiTensorProduct
InjectiveSeminorm
ProjectiveSeminorm
AddTorsor
AddTorsorBases
AffineIsometry
BallAction
ConformalLinearMap
Connected
ContinuousAffineMap
DualNumber
ENorm
Extend
Extr
FunctionSeries
HomeomorphBall
IndicatorFunction
Int
MStructure
MazurUlam
Pointwise
RCLike
Real
RieszLemma
SphereNormEquiv
ODE
Gronwall
PicardLindelof
RCLike
Basic
Inner
Lemmas
SpecialFunctions
Complex
Analytic
Arctan
Arg
Circle
CircleAddChar
Log
LogBounds
LogDeriv
ContinuousFunctionalCalculus
ExpLog
Rpow
Gamma
Basic
Beta
BohrMollerup
Deligne
Deriv
Gaussian
FourierTransform
GaussianIntegral
PoissonSummation
Log
Base
Basic
Deriv
ENNRealLog
ENNRealLogExp
ERealExp
Monotone
NegMulLog
Pow
Asymptotics
Complex
Continuity
Deriv
Integral
NNReal
Real
Trigonometric
Angle
Arctan
ArctanDeriv
Basic
Bounds
Chebyshev
Complex
ComplexDeriv
Cotangent
Deriv
EulerSineProd
Inverse
InverseDeriv
Series
Arsinh
Bernstein
BinaryEntropy
CompareExp
Exp
ExpDeriv
Exponential
ImproperIntegrals
Integrals
JapaneseBracket
NonIntegrable
OrdinaryHypergeometric
PolarCoord
PolynomialExp
Polynomials
SmoothTransition
Sqrt
Stirling
SpecificLimits
Basic
FloorPow
Normed
RCLike
VonNeumannAlgebra
Basic
BoundedVariation
ConstantSpeed
Convolution
Hofer
Matrix
MeanInequalities
MeanInequalitiesPow
MellinInversion
MellinTransform
Oscillation
PSeries
PSeriesComplex
Quaternion
Seminorm
Subadditive
SumIntegralComparisons
SumOverResidueClass
CategoryTheory
Abelian
DiagramLemmas
Four
Basic
EpiWithInjectiveKernel
Exact
Ext
FunctorCategory
Generator
GrothendieckAxioms
Images
Injective
InjectiveResolution
LeftDerived
NonPreadditive
Opposite
Projective
ProjectiveResolution
Pseudoelements
Refinements
RightDerived
Subobject
Transfer
Adjunction
Lifting (file)
Left
Right
AdjointFunctorTheorems
Basic
Comma
Evaluation
FullyFaithful
Limits
Mates
Opposites
Over
PartialAdjoint
Reflective
Restrict
Triple
Unique
Whiskering
Bicategory
Functor
Lax
LocallyDiscrete
Oplax
Prelax
Pseudofunctor
FunctorBicategory (file)
Oplax
Kan
Adjunction
HasKan
IsKan
Modification
Oplax
NaturalTransformation
Oplax
Strong
Adjunction
Basic
Coherence
End
Extension
Free
Grothendieck
LocallyDiscrete
SingleObj
Strict
Category
Cat (file)
Adjunction
Limit
Basic
Bipointed
Factorisation
GaloisConnection
Grpd
Init
KleisliCat
Pairwise
PartialFun
Pointed
Preorder
Quiv
ReflQuiv
RelCat
TwoP
ULift
ChosenFiniteProducts (file)
Cat
FunctorCategory
Closed
FunctorCategory (file)
Complete
Groupoid
Cartesian
Enrichment
Functor
FunctorToTypes
Ideal
Monoidal
Types
Zero
Comma
Presheaf (file)
Basic
Colimit
StructuredArrow (file)
Basic
Functor
Small
Arrow
Basic
Over
ConcreteCategory
Basic
Bundled
BundledHom
Elementwise
EpiMono
ReflectsIso
UnbundledHom
Dialectica
Basic
Monoidal
EffectiveEpi
Basic
Comp
Coproduct
Enough
Extensive
Preserves
RegularEpi
Endofunctor
Algebra
Enriched
Basic
Ordinary
FiberedCategory
BasedCategory
Cartesian
Cocartesian
Fiber
Fibered
HomLift
Filtered
Basic
Connected
Final
Small
FinCategory
AsType
Basic
Functor
Derived
RightDerived
KanExtension
Adjunction
Basic
Pointwise
Basic
Category
Const
Currying
EpiMono
Flat
FullyFaithful
FunctorHom
Functorial
Hom
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ReflectsIso
Trifunctor
Galois
Action
Basic
Decomposition
EssSurj
Examples
Full
GaloisObjects
IsFundamentalgroup
Prorepresentability
Topology
GradedObject (file)
Associator
Bifunctor
Braiding
Monoidal
Single
Trifunctor
Unitor
Groupoid (file)
Basic
Discrete
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Subgroupoid
VertexGroup
GuitartExact
Basic
VerticalComposition
Idempotents
Basic
Biproducts
FunctorCategories
FunctorExtension
HomologicalComplex
Karoubi
KaroubiKaroubi
SimplicialObject
LiftingProperties
Adjunction
Basic
Limits
ConcreteCategory
Basic
WithAlgebraicStructures
Constructions
Over
Basic
Connected
Products
BinaryProducts
EpiMono
Equalizers
Filtered
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LimitsOfProductsAndEqualizers
Pullbacks
WeaklyInitial
ZeroObjects
Final (file)
ParallelPair
FunctorCategory (file)
Basic
EpiMono
Finite
Indization
FilteredColimits
IndObject
Preserves
Shapes
BinaryProducts
Biproducts
Equalizers
Images
Kernels
Products
Pullbacks
Square
Terminal
Zero
Basic
Filtered
Finite
FunctorCategory
Limits
Opposites
Ulift
Yoneda
Shapes
NormalMono
Basic
Equalizers
Pullback
Assoc
CommSq
Cospan
Equalizer
HasPullback
Iso
Mono
Pasting
PullbackCone
Square
BinaryProducts
Biproducts
CombinedProducts
ConcreteCategory
Connected
Countable
Diagonal
DisjointCoproduct
End
Equalizers
Equivalence
FiniteLimits
FiniteProducts
FunctorCategory
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Grothendieck
Images
IsTerminal
KernelPair
Kernels
Multiequalizer
Products
Reflexive
RegularMono
SingleObj
SplitCoequalizer
SplitEqualizer
StrictInitial
StrongEpi
Terminal
Types
WideEqualizers
WidePullbacks
ZeroMorphisms
ZeroObjects
Bicones
ColimitLimit
Comma
ConeCategory
Cones
Connected
Creates
Elements
EpiMono
EssentiallySmall
ExactFunctor
Filtered
FilteredColimitCommutesFiniteLimit
FinallySmall
FintypeCat
Fubini
FullSubcategory
FunctorToTypes
HasLimits
IndYoneda
IsConnected
IsLimit
Lattice
MonoCoprod
MorphismProperty
Opposites
Over
Pi
Presheaf
Sifted
SmallComplete
Types
TypesFiltered
Unit
VanKampen
Yoneda
Linear
Basic
FunctorCategory
LinearFunctor
Yoneda
Localization
CalculusOfFractions (file)
ComposableArrows
Fractions
Preadditive
DerivabilityStructure
Basic
Constructor
Adjunction
Bousfield
Composition
Construction
Equivalence
FiniteProducts
HasLocalization
HomEquiv
LocalizerMorphism
Opposite
Pi
Predicate
Prod
Resolution
SmallHom
SmallShiftedHom
StructuredArrow
Triangulated
Monad
Adjunction
Algebra
Basic
Coequalizer
Comonadicity
Equalizer
EquivMon
Kleisli
Limits
Monadicity
Products
Types
Monoidal
Braided
Basic
Opposite
Reflection
Cartesian
Comon_
Free
Basic
Coherence
Internal
FunctorCategory
Limits
Module
Types
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Basic
Symmetric
Rigid
Basic
Braided
FunctorCategory
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Types
Basic
Coyoneda
Symmetric
Bimod
Bimon_
Category
Center
CoherenceLemmas
CommMon_
Comon_
Conv
Discrete
End
Functor
FunctorCategory
Functorial
Hopf_
Limits
Linear
Mod_
Mon_
NaturalTransformation
OfHasFiniteProducts
Opposite
Preadditive
Skeleton
Subcategory
Tor
Transport
MorphismProperty
Basic
Comma
Composition
Concrete
Factorization
IsInvertedBy
Limits
Representable
PathCategory (file)
Basic
MorphismProperty
Pi
Basic
Preadditive
Yoneda
Basic
Injective
Limits
Projective
AdditiveFunctor
Basic
Biproducts
EilenbergMoore
EndoFunctor
FunctorCategory
Generator
HomOrthogonal
Injective
InjectiveResolution
LeftExact
Mat
OfBiproducts
Opposite
Projective
ProjectiveResolution
Schur
SingleObj
Products
Associator
Basic
Bifunctor
Unitor
Quotient (file)
Linear
Preadditive
Shift
Basic
CommShift
Induced
InducedShiftSequence
Localization
Opposite
Predicate
Pullback
Quotient
ShiftSequence
ShiftedHom
ShiftedHomOpposite
SingleFunctors
Sigma
Basic
Sites
Coherent
Basic
CoherentSheaves
CoherentTopology
Comparison
Equivalence
ExtensiveSheaves
ExtensiveTopology
LocallySurjective
ReflectsPrecoherent
ReflectsPreregular
RegularSheaves
RegularTopology
SheafComparison
NonabelianCohomology
H1
SheafCohomology
Basic
Abelian
Adjunction
Canonical
CartesianClosed
Closed
CompatiblePlus
CompatibleSheafification
ConcreteSheafification
ConstantSheaf
Continuous
CoverLifting
CoverPreserving
Coverage
CoversTop
DenseSubsite
Discrete
EffectiveEpimorphic
EpiMono
EqualizerSheafCondition
Equivalence
Grothendieck
InducedTopology
IsSheafFor
IsSheafOneHypercover
LeftExact
Limits
Localization
LocallyBijective
LocallyFullyFaithful
LocallyInjective
LocallySurjective
MayerVietorisSquare
MorphismProperty
OneHypercover
Over
Plus
Preserves
PreservesLocallyBijective
PreservesSheafification
Pretopology
Pullback
Sheaf
SheafHom
SheafOfTypes
Sheafification
Sieves
Spaces
Subcanonical
Subsheaf
Types
Whiskering
SmallObject
Iteration (file)
Basic
Construction
Subobject
Basic
Comma
FactorThru
Lattice
Limits
MonoOver
Types
WellPowered
Sums
Associator
Basic
Triangulated
TStructure
Basic
Basic
Functor
HomologicalFunctor
Opposite
Pretriangulated
Rotate
Subcategory
TriangleShift
Triangulated
Yoneda
Action
Adhesive
Balanced
CatCommSq
ClosedUnderIsomorphisms
CofilteredSystem
CommSq
ComposableArrows
Conj
ConnectedComponents
Core
Countable
DifferentialObject
DiscreteCategory
Elements
Elementwise
Endomorphism
EpiMono
EqToHom
Equivalence
EssentialImage
EssentiallySmall
Extensive
FintypeCat
FullSubcategory
Generator
GlueData
Grothendieck
HomCongr
IsConnected
Iso
IsomorphismClasses
NatIso
NatTrans
Noetherian
Opposites
PEmpty
PUnit
Simple
SingleObj
Skeletal
Square
Subterminal
Thin
Types
UnivLE
Whiskering
Widesubcategory
WithTerminal
Yoneda
Combinatorics
Additive
AP
Three
Behrend
Defs
Corner
Defs
Roth
Dissociation
DoublingConst
ETransform
Energy
ErdosGinzburgZiv
FreimanHom
PluenneckeRuzsa
RuzsaCovering
Derangements
Basic
Exponential
Finite
Digraph
Basic
Enumerative
Catalan
Composition
DoubleCounting
DyckWord
Partition
Hall
Basic
Finite
Optimization
ValuedCSP
Quiver
Arborescence
Basic
Cast
ConnectedComponent
Covering
Path
Push
ReflQuiver
SingleObj
Subquiver
Symmetric
SetFamily
Compression
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Discrete
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Multivariate
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Multivariate
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Univariate
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BigOperators
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Init
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Real
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Archimedean
Basic
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UInt
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Vector3
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Average
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Circle
RotationNumber
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Action
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Conservative
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FixedPoints
Basic
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DynamicalEntourage
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Flow
Minimal
Newton
OmegaLimit
PeriodicPts
FieldTheory
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GaloisField
Polynomial
Trace
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IntermediateField (file)
Algebraic
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Spectrum
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MinpolyDiv
RatFunc
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Basic
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SplittingField
Construction
IsSplittingField
AbelRuffini
AbsoluteGaloisGroup
Adjoin
AlgebraicClosure
AxGrothendieck
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ChevalleyWarning
Extension
Finiteness
Fixed
IsPerfectClosure
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KrullTopology
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Laurent
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Normal
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Perfect
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PolynomialGaloisGroup
PrimitiveElement
PurelyInseparable
Separable
SeparableClosure
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Tower
Geometry
Euclidean
Angle
Oriented
Affine
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RightAngle
Rotation
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Affine
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Conformal
RightAngle
Sphere
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Basic
Calculus
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Power
Ptolemy
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Triangle
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LieGroup
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Basic
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NormedSpace
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Real
Sphere
UnitsOfNormedAlgebra
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Sheaf
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VectorBundle
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Hom
Pullback
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PoincareConjecture
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HasColimits
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OpenImmersion
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GroupTheory
Commutator (file)
Basic
Finite
Congruence
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BigOperators
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Hom
Opposite
Coprod
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Coset (file)
Basic
Card
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Coxeter
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Inversion
Length
Matrix
FreeGroup
Basic
IsFreeGroup
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GroupAction
DomAct
ActionHom
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SubMulAction (file)
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Blocks
CardCommute
ConjAct
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Embedding
FixedPoints
FixingSubgroup
Group
Hom
IterateAct
Period
Pointwise
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Ring
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GroupExtension
Defs
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Away
Basic
MonoidWithZero
Order
Order
Min
OreLocalization
Basic
OreSet
Perm
Cycle
Basic
Concrete
Factors
PossibleTypes
Type
Basic
Closure
ClosureSwap
ConjAct
DomMulAct
Fin
Finite
List
Option
Sign
Subgroup
Support
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QuotientGroup (file)
Basic
Defs
Finite
SpecificGroups
Alternating
Cyclic
Dihedral
KleinFour
Quaternion
Subgroup
Center
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Simple
Submonoid
Center
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Inverses
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Abelianization
Archimedean
ArchimedeanDensely
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Commensurable
CommutingProbability
Complement
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Divisible
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EckmannHilton
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Finiteness
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FreeAbelianGroup
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Index
Nilpotent
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OrderOfElement
PGroup
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PushoutI
Schreier
SchurZassenhaus
SemidirectProduct
Solvable
Sylow
Torsion
Transfer
InformationTheory
Hamming
Init (file)
Algebra
Classes
Data
Fin
Basic
Int
Order
List
Basic
Instances
Lemmas
Nat
Lemmas
Sigma
Basic
Lex
Quot
Order
LinearOrder
Classical
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Zero
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Matrix
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Matrix
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LDL
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Trace
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Multilinear
Basic
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Pi
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Prod
Real
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Basic
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Pi
RootSystem
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Hom
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TensorAlgebra
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RightExactness
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FreeAlgebra
GeneralLinearGroup
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Isomorphisms
JordanChevalley
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LinearDisjoint
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LinearPMap
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Pi
PiTensorProduct
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Ray
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SymplecticGroup
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Trace
UnitaryGroup
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Embedding
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Encodable
Basic
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Equiv
Array
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Pi
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MeasurableSpace
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CountablyGenerated
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Prod
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Basic
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Quotient
Unique
Lebesgue
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Complex
EqHaar
Integral
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AddContent
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Multiplicity
Ostrowski
Pell
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