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
Classes
Order
RatCast
CodeAction (file)
Attr
Basic
Deprecated
Misc
Control
ForInStep
Basic
Lemmas
Nondet
Basic
Data
Array
Init
Lemmas
Basic
Merge
BinomialHeap
Basic
Fin
Basic
Lemmas
List
Init
Lemmas
Basic
Count
Lemmas
OfFn
Pairwise
Perm
MLList
Basic
Nat
Basic
Gcd
Lemmas
RBMap
Alter
Basic
WF
Rat
Basic
Lemmas
String
Basic
Sum
Basic
Lemmas
Lean
Meta
Basic
DiscrTree
Expr
Inaccessible
InstantiateMVars
SavedState
UnusedNames
AttributeExtra
Except
Expr
Float
HashSet
MonadBacktrack
NameMap
NameMapAttribute
PersistentHashMap
PersistentHashSet
Position
Syntax
TagAttribute
Linter (file)
UnnecessarySeqFocus
UnreachableTactic
Tactic
Lint (file)
Basic
Frontend
Misc
Simp
TypeClass
Alias
Basic
Classical
Congr
Exact
Init
OpenPrivate
PermuteGoals
SeqFocus
Unreachable
Where
Util
Cache
ExtendedBinder
LibraryNote
ProofWanted
Logic
WF
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
Mem
QSort
TakeDrop
BitVec (file)
Basic
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)
Basic
Count
Erase
Find
Pairwise
Range
Sublist
TakeDrop
Sort (file)
Basic
Impl
Lemmas
Attach
Basic
BasicAux
Control
Count
Erase
Find
Impl
Lemmas
MinMax
Monadic
Notation
Pairwise
Perm
Range
Sublist
TakeDrop
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
String (file)
Basic
Extra
Lemmas
ToString (file)
Basic
Macro
UInt (file)
Basic
Bitwise
Lemmas
Log2
AC
BEq
Basic
Bool
Cast
Channel
Float
Hashable
NeZero
OfScientific
Ord
PLift
Prod
Queue
Random
Range
Repr
Stream
Subtype
Sum
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
KolmogorovExtension4
AdditiveOfContinuous
Annexe
AuxLemmas
Boxes
CaratheodoryExtension
ClosedProj
CompactSystem
Content
DependsOn
IonescuTulceaKernel
KolmogorovExtension
Ordered
ProductMeasure
Projective
RegularContent
RegularityCompacts
Semiring
compProdNat
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
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
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
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
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
ReservedNameAction
ResolveName
Runtime
ScopedEnvExtension
Structure
SubExpr
Syntax
ToExpr
LeanSearchClient (file)
Basic
LoogleSyntax
Syntax
Marginis (file)
AbdelmadjidDjamel2020
AhlmanKoponen2015
Alam2020
AnoussisFelouzisTsaprounis2021
AvigadDeanRute2012
Basic
BenciBottazziDiNasso2014
BiceStarling2018
BottazziEskew2022
Boudaoud2009
BridgesHendtlassPalmgren2016
BrunjesSerpe2007
Butler2015
CalvertFranklin2015
CarlKrapp2021
ChristDemmelKnightScanlonYelick2024
CoquandMaiettiPalmgren2019
CoquandSchuster2011
CoquandSpitters2012
DoraisHirstShafer2012
Dow2016
EagleLau2024
Editors2018
Ehrlich2011
FranklinMcNicholl2020
Goldbring2011
Green2013
Hanson2024
HensonRaynaud2011
HieronymiWalsberg2023
Hrbacek2020
Jekel2023
JonesSpeisegger2012
Kawai2019
KjosHanssen2010
Lubarsky2010
Miller2022
MiyabeNiesStephan2018
NeriPowell2023
Opris2023
Pathak2009
PaulyFouche2017
PaulyZiegler2013
Petrakis2019
RamirezVellis2024
Swan2016
Todorov2021
VanDenBerg2013
Veldman2022
Vickers2009
Zlatos2021
Mathlib
Algebra
Algebra
Subalgebra
Basic
Operations
Prod
Tower
Basic
Bilinear
Defs
Equiv
Field
Hom
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Rat
RestrictScalars
Spectrum
Tower
Associated
Basic
BigOperators
Group
Finset
List
Multiset
GroupWithZero
Action
Finset
Ring (file)
List
Multiset
Associated
Expect
Fin
Finprod
Finsupp
Intervals
Module
NatAntidiagonal
Option
Pi
RingEquiv
WithTop
Category
Grp
Basic
Injective
Preadditive
ZModuleEquivalence
ModuleCat
Basic
EpiMono
MonCat
Basic
CharP
Algebra
Basic
Defs
ExpChar
Invertible
Reduced
Two
CharZero
Defs
Lemmas
Quotient
DirectSum
Basic
Decomposition
Finsupp
Module
Divisibility
Basic
Prod
Units
EuclideanDomain
Basic
Defs
Field
Int
Field
Basic
Defs
Equiv
IsField
Opposite
Rat
Subfield
FreeMonoid
Basic
GCDMonoid
Basic
Finset
Multiset
Nat
Group
Action
Basic
Defs
Opposite
Pi
Prod
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
Set
Basic
Semiconj
Basic
Defs
Units
Subgroup
Actions
Basic
Finite
MulOpposite
Order
Pointwise
ZPowers
Submonoid
Basic
DistribMulAction
Membership
MulOpposite
Operations
Pointwise
Subsemigroup
Basic
Membership
Operations
UniqueProds
Basic
Units (file)
Equiv
Hom
WithOne
Defs
AddChar
Aut
Basic
Center
Commutator
Conj
Defs
Embedding
Even
Ext
FiniteSupport
Indicator
InjSurj
Int
Nat
NatPowAssoc
Opposite
Prod
Support
TypeTags
ULift
ZeroOne
GroupPower
IterateHom
GroupWithZero
Action
Basic
Defs
Opposite
Pi
Prod
Units
Units
Basic
Equiv
Lemmas
Basic
Center
Commute
Defs
Divisibility
Hom
Indicator
InjSurj
Invertible
NeZero
NonZeroDivisors
Opposite
Pi
Prod
Semiconj
ULift
WithZero
Module
Equiv
Basic
Defs
LinearMap
Basic
Defs
End
Prod
Star
Submodule
Basic
Bilinear
EqLocus
Equiv
IterateMapComap
Ker
Lattice
LinearMap
Map
Pointwise
Range
RestrictScalars
Basic
BigOperators
CharacterModule
Defs
Hom
Injective
MinimalAxioms
Opposites
Pi
Prod
Projective
Rat
Torsion
ULift
ZMod
MonoidAlgebra
Basic
Defs
Degree
Division
NoZeroDivisors
Support
MvPolynomial
Basic
CommRing
Degrees
Equiv
Rename
Variables
Order
Antidiag
Prod
Archimedean
Basic
BigOperators
Group
Finset
List
Multiset
Ring
Finset
List
Multiset
Expect
CauSeq
Basic
BigOperators
Completion
Field
Canonical
Basic
Defs
Basic
Defs
InjSurj
Power
Rat
Group
Pointwise
Bounds
Unbundled
Abs
Basic
Int
Abs
Action
Basic
Defs
Indicator
InjSurj
Instances
Lattice
MinMax
Nat
OrderIso
PiLex
PosPart
Synonym
TypeTags
Units
GroupWithZero
Action
Synonym
Unbundled (file)
Lemmas
Canonical
Submonoid
Synonym
Hom
Basic
Monoid
Ring
Interval
Set
Group
Instances
Monoid
Finset
Module
Algebra
Defs
OrderedSMul
Pointwise
Rat
Synonym
Monoid
Canonical
Defs
Unbundled
Basic
Defs
ExistsOfLE
MinMax
OrderDual
Pow
WithTop
Basic
Defs
NatCast
OrderDual
Prod
TypeTags
Units
WithTop
Nonneg
Field
Floor
Ring
Positive
Ring
Ring
Unbundled
Basic
Nonneg
Rat
Abs
Basic
Canonical
Cast
Defs
Finset
InjSurj
Int
Nat
Pow
Rat
Synonym
WithTop
Star
Basic
Sub
Unbundled
Basic
Basic
Defs
WithTop
AbsoluteValue
AddGroupWithTop
Floor
Invertible
Kleene
Monovary
Pi
SuccPred
ToIntervalMod
ZeroLEOne
PUnitInstances
Algebra
Module
Polynomial
Degree
Definitions
Lemmas
TrailingDegree
AlgebraMap
Basic
BigOperators
CancelLeads
Coeff
Derivative
Div
EraseLead
Eval
Expand
FieldDivision
Identities
Induction
Inductions
Laurent
Monic
Monomial
Reverse
RingDivision
Roots
Regular
Basic
Pow
SMul
Ring
Action
Basic
Group
Subobjects
Divisibility
Basic
Hom
Basic
Defs
Pointwise
Set
Subring
Basic
Units
Subsemiring
Basic
AddAut
Aut
Basic
Center
Centralizer
Commute
CompTypeclasses
Defs
Equiv
Fin
Idempotents
InjSurj
Int
Invertible
Nat
NegOnePow
Opposite
Parity
Pi
Prod
Rat
Regular
Semiconj
ULift
Units
Squarefree
Basic
Star
Basic
BigOperators
Center
Module
Pi
Pointwise
Prod
Rat
SelfAdjoint
StarAlgHom
StarRingHom
Subalgebra
Unitary
AddTorsor
Exact
FreeAlgebra
GeomSum
IsPrimePow
ModEq
NeZero
Opposites
Periodic
QuadraticDiscriminant
Quotient
SMulWithZero
Analysis
Analytic
Basic
CPolynomial
ChangeOrigin
Composition
Constructions
Inverse
Linear
Within
Asymptotics
AsymptoticEquivalent
Asymptotics
Theta
CStarAlgebra
Basic
Matrix
Calculus
Conformal
NormedSpace
ContDiff
Basic
Defs
FTaylorSeries
RCLike
Deriv
Add
AffineMap
Basic
Comp
Inv
Inverse
Linear
Mul
Pow
Prod
Shift
Slope
ZPow
FDeriv
Add
Analytic
Basic
Bilinear
Comp
Equiv
Extend
Linear
Measurable
Mul
Prod
RestrictScalars
InverseFunctionTheorem
ApproximatesLinearOn
Deriv
FDeriv
IteratedDeriv
Defs
Lemmas
LocalExtr
Basic
Rolle
FormalMultilinearSeries
LagrangeMultipliers
LogDeriv
MeanValue
TangentCone
Complex
Asymptotics
Basic
Circle
Conformal
Isometry
RealDeriv
Convex
Cone
Basic
Extension
SpecificFunctions
Basic
Basic
Between
Combination
Function
Gauge
Hull
Jensen
Mul
Normed
Segment
Slope
Star
Strict
StrictConvexSpace
Topology
Uniform
InnerProductSpace
Adjoint
Basic
Calculus
Dual
Orthogonal
PiL2
Projection
Rayleigh
Spectrum
Symmetric
LocallyConvex
BalancedCoreHull
Basic
Bounded
Polar
WithSeminorms
Normed
Affine
AddTorsor
AddTorsorBases
Isometry
Algebra
Exponential
Field
Basic
InfiniteSum
Lemmas
UnitBall
Group
AddCircle
AddTorsor
BallSphere
Basic
Bounded
Completion
Constructions
Hom
InfiniteSum
Int
Lemmas
Pointwise
Quotient
Rat
Seminorm
Submodule
Uniform
Lp
PiLp
WithLp
Module
Basic
Completion
Dual
FiniteDimension
Ray
Span
Operator
Banach
BoundedLinearMaps
ContinuousLinearMap
LinearIsometry
Order
Basic
Lattice
Ring
Units
MulAction
NormedSpace
HahnBanach
Extension
SeparatingDual
Separation
Multilinear
Basic
Curry
OperatorNorm
Asymptotics
Basic
Bilinear
Completeness
Mul
NNNorm
NormedSpace
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HomeomorphBall
IndicatorFunction
Pointwise
RCLike
Real
RieszLemma
RCLike
Basic
Lemmas
SpecialFunctions
Complex
Arg
Log
LogDeriv
Log
Base
Basic
Deriv
Pow
Asymptotics
Complex
Continuity
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NNReal
Real
Trigonometric
Angle
Arctan
ArctanDeriv
Basic
Complex
ComplexDeriv
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Inverse
Exp
ExpDeriv
Exponential
Integrals
NonIntegrable
Sqrt
SpecificLimits
Basic
Normed
Matrix
MeanInequalities
MeanInequalitiesPow
Seminorm
CategoryTheory
Adjunction
Basic
FullyFaithful
Limits
Bicategory
Basic
Strict
Category
Basic
Cat
Init
Preorder
ULift
Comma
Arrow
Basic
Over
StructuredArrow
ConcreteCategory
Basic
Bundled
BundledHom
EpiMono
Filtered
Basic
FinCategory
AsType
Basic
Functor
Basic
Category
Const
Currying
EpiMono
FullyFaithful
Hom
ReflectsIso
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Adjunction
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Limits
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EpiMono
FunctorCategory
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Zero
Basic
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Types
Yoneda
Linear
Basic
MorphismProperty
Basic
Composition
Concrete
Factorization
Pi
Basic
Preadditive
AdditiveFunctor
Basic
Biproducts
FunctorCategory
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Products
Basic
Unitor
Balanced
CommSq
Conj
DiscreteCategory
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EqToHom
Equivalence
EssentialImage
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FullSubcategory
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HomCongr
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NatIso
NatTrans
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PEmpty
PUnit
Skeletal
Thin
Types
Whiskering
Yoneda
Combinatorics
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Partition
Quiver
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Path
Push
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SimpleGraph
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Init
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Applicative
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EquivFunctor
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ULift
Data
Array
Defs
Bool
Basic
Set
Complex
Abs
Basic
BigOperators
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Exponential
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FiniteDimensional
Module
Order
Countable
Basic
Defs
DFinsupp
Basic
Encodable
Lex
NeLocus
Order
ENNReal
Basic
Inv
Operations
Real
ENat
Basic
Lattice
Fin
Tuple
Basic
Reflection
Basic
VecNotation
Finite
Basic
Card
Defs
Set
Finset
Attr
Basic
Card
Density
Fin
Fold
Image
Lattice
Max
NAry
NatAntidiagonal
NoncommProd
Option
Order
Pairwise
Pi
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Preimage
Prod
Sigma
Sort
Sum
Sym
Union
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Basic
Defs
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Fintype
Indicator
Lex
Multiset
Order
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Fintype
Basic
BigOperators
Card
CardEmbedding
Fin
Lattice
List
Option
Order
Perm
Pi
Powerset
Prod
Quotient
Sigma
Sort
Sum
Units
Vector
FunLike
Basic
Embedding
Equiv
Int
Cast
Basic
Defs
Field
Lemmas
Prod
Order
Basic
Lemmas
Units
Bitwise
CharZero
ConditionallyCompleteOrder
Defs
DivMod
GCD
Interval
LeastGreatest
Lemmas
Log
ModEq
Notation
Sqrt
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List
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GetD
Indexes
Infix
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Join
Lattice
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Monad
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Pairwise
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Perm
Permutation
Prime
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Range
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Sort
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TFAE
Zip
Matrix
Basic
Basis
Block
DMatrix
Invertible
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Rank
Reflection
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Basic
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Fold
Lattice
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Nodup
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Pi
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Range
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Sort
Sum
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Lemmas
Order
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Basic
Star
Nat
Cast
Order
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Field
Ring
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Commute
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Field
NeZero
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WithTop
Choose
Basic
Bounds
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Sum
Factorial
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Cast
Factorization
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Induction
PrimePow
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BigOperators
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Lemmas
Prime
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Bits
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Digits
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ModEq
Multiplicity
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PSub
Pairing
PartENat
Periodic
PrimeFin
Set
Size
Sqrt
Squarefree
SuccPred
Totient
WithBot
Option
Basic
Defs
NAry
Ordering
Basic
PNat
Basic
Defs
Equiv
Prod
Basic
Lex
PProd
TProd
Rat
Cast
CharZero
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Lemmas
Order
BigOperators
Defs
Denumerable
Encodable
Floor
Init
Lemmas
Sqrt
Real
Pi
Irrational
Archimedean
Basic
Cardinality
ConjExponents
EReal
Hyperreal
Irrational
Pointwise
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Star
Set
Pairwise
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Lattice
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Finite
Interval
ListOfFn
SMul
Accumulate
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BoolIndicator
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Finite
Function
Functor
Image
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List
MemPartition
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Sigma
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Lex
String
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Sum
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Order
Sym
Sym2 (file)
Init
Order
Basic
Tree
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Vector
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W
Basic
Cardinal
ZMod
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Rel
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ULift
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Minimal
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FieldTheory
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Field
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Type
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OrderOfElement
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Init (file)
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PosDef
Reindex
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SpecialLinearGroup
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ToLin
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Dual
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GeneralLinearGroup
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LinearIndependent
LinearPMap
Pi
Prod
Projection
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Ray
SModEq
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Span
StdBasis
UnitaryGroup
Logic
Embedding
Basic
Set
Encodable
Basic
Lattice
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Basic
Defs
Embedding
Fin
Fintype
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List
Nat
Option
PartialEquiv
Set
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Function
Basic
CompTypeclasses
Conjugate
Defs
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ULift
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Set
Basic
Denumerable
ExistsUnique
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Nonempty
OpClass
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Unique
UnivLE
MeasureTheory
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Complex
ContinuousLinearMap
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Real
Polish
Basic
Prod
Basic
Integral
Cylinders
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Pi
Projective
Decomposition
Exhaustion
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Function
ConditionalExpectation
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Basic
CondexpL1
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Real
Unique
LpSeminorm
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CompareExp
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StronglyMeasurable
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Inner
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AEEqFun
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SimpleFunc
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IntervalIntegral
Lebesgue
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SetToL1
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MeasurableSpace
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Embedding
Instances
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Measure
Haar
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OfBasis
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AddContent
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Content
Count
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FiniteMeasure
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OpenPos
ProbabilityMeasure
Regular
Restrict
Stieltjes
Sub
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Typeclasses
VectorMeasure
WithDensity
WithDensityVectorMeasure
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Lattice
OuterMeasure
AE
Basic
BorelCantelli
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Induced
OfFunction
Operations
PiSystem
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NumberTheory
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Divisors
SmoothNumbers
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Bounds
Basic
OrderIso
CompactlyGenerated
Basic
Intervals
CompleteLattice (file)
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Finset
Group
Filter
AtTopBot (file)
Archimedean
BigOperators
Field
Group
ModEq
Monoid
Ring
Germ
Basic
OrderedMonoid
Bases
Basic
Cofinite
CountableInter
CountableSeparatingOn
Curry
ENNReal
EventuallyConst
Extr
FilterProduct
IndicatorFunction
Interval
Ker
Lift
NAry
Pi
Pointwise
Prod
Ring
SmallSets
Subsingleton
Ultrafilter
Fin
Basic
Heyting
Basic
Hom
Basic
Bounded
CompleteLattice
Lattice
Order
Set
Interval
Finset
Basic
Defs
Fin
Nat
Set
Basic
Disjoint
Image
Infinite
Monotone
OrdConnected
OrdConnectedComponent
OrderEmbedding
OrderIso
Pi
ProjIcc
UnorderedInterval
WithBotTop
Multiset
Monotone
Basic
Monovary
Odd
Union
RelIso
Basic
Set
SuccPred
Archimedean
Basic
CompleteLinearOrder
Limit
Relation
UpperLower
Basic
Antichain
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Atoms
Basic
BooleanAlgebra
Bounded
BoundedOrder
Chain
Circular
Closure
Compare
CompleteBooleanAlgebra
CompleteLatticeIntervals
Copy
Cover
Defs
Directed
Disjoint
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FixedPoints
GaloisConnection
InitialSeg
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JordanHolder
Lattice
LatticeIntervals
LiminfLimsup
Max
MinMax
Minimal
ModularLattice
Nat
Notation
OmegaCompletePartialOrder
OrderIsoNat
Part
PartialSups
PiLex
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SetNotation
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SupIndep
SymmDiff
Synonym
TypeTags
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Probability
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Kernel
Kernel
Basic
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Integral
IntegralCompProd
MeasurableIntegral
MeasureCompProd
ProbabilityMassFunction
Basic
Constructions
Integrals
Monad
Process
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RingTheory
Adjoin
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FG
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Int
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Algebra
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Basic
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LocalRing
MaximalIdeal
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Integer
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Tower
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Lemmas
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NonUnitalSubsemiring
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Ring
Polynomial
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Content
IntegralNormalization
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Pochhammer
Quotient
ScaleRoots
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Regular
IsSMulRegular
RegularSequence
RootsOfUnity
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TensorProduct
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Lattice
Operations
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Algebraic
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MatrixAlgebra
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QuotientNoetherian
SimpleModule
UniqueFactorizationDomain
ZMod
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Basic
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ToNat
Ordinal
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Exponential
FixedPoint
Principal
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Basic
Tactic
Attr
Core
Register
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CC (file)
Addition
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CancelDenoms
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references (file)

Color scheme