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
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
HelpCmd
Init
OpenPrivate
PermuteGoals
SeqFocus
Trans
Unreachable
Where
Util
Cache
ExtendedBinder
LibraryNote
ProofWanted
Logic
WF
Carleson (file)
Antichain
AntichainOperator
AntichainTileCount
TileCorrelation
Classical
Approximation
Basic
CarlesonOnTheRealLine
CarlesonOperatorReal
ClassicalCarleson
ControlApproximationEffect
DirichletKernel
Helper
HilbertKernel
SpectralProjectionBound
VanDerCorput
Discrete
Defs
ExceptionalSet
ForestComplement
ForestUnion
MainTheorem
ForestOperator
AlmostOrthogonality
Forests
L2Estimate
LargeSeparation
PointwiseEstimate
QuantativeEstimate
RemainingTiles
ToMathlib
BoundedCompactSupport
Height
MeasureReal
MinLayer
Misc
CoverByBalls
Defs
DoublingMeasure
FinitaryCarleson
Forest
GridStructure
HardyLittlewood
HolderVanDerCorput
LinearizedMetricCarleson
MetricCarleson
MinLayerTiles
Psi
RealInterpolation
TileExistence
TileStructure
TwoSidedMetricCarleson
WeakType
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
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
Algebra
Algebra
Subalgebra
Basic
Operations
Prod
Tower
Unitization
Basic
Bilinear
Defs
Equiv
Field
Hom
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Rat
RestrictScalars
Spectrum
Tower
Unitization
Associated
Basic
BigOperators
Group
Finset
List
Multiset
GroupWithZero
Action
Finset
Ring (file)
List
Multiset
Associated
Balance
Expect
Fin
Finprod
Finsupp
Intervals
Module
NatAntidiagonal
Option
Pi
RingEquiv
WithTop
CharP
Basic
Defs
Invertible
Lemmas
Reduced
Two
CharZero
Defs
Infinite
Lemmas
Quotient
DirectSum
Basic
Decomposition
Finsupp
Module
Divisibility
Basic
Prod
Units
EuclideanDomain
Basic
Defs
Field
Int
Field
Subfield (file)
Basic
Defs
Basic
Defs
Equiv
IsField
Opposite
Rat
FreeMonoid
Basic
GCDMonoid
Basic
Finset
Multiset
Nat
Group
Action
Basic
Defs
End
Faithful
Opposite
Pi
Pretransitive
Prod
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
Set
Basic
Semiconj
Basic
Defs
Units
Subgroup
ZPowers (file)
Basic
Lemmas
Actions
Basic
Defs
Finite
Ker
Lattice
Map
MulOpposite
MulOppositeLemmas
Order
Pointwise
Submonoid
Basic
Defs
DistribMulAction
Membership
MulOpposite
Operations
Pointwise
Subsemigroup
Basic
Defs
Membership
Operations
UniqueProds
Basic
Units
Basic
Defs
Equiv
Hom
Opposite
WithOne
Defs
AddChar
Aut
Basic
Center
Commutator
Conj
Defs
Embedding
Even
FiniteSupport
Indicator
InjSurj
Int
Nat
NatPowAssoc
Opposite
Prod
Support
TypeTags
ULift
ZeroOne
GroupPower
IterateHom
GroupWithZero
Action
Basic
Defs
End
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
Lie
Basic
OfAssociative
Subalgebra
Submodule
Module
Equiv
Basic
Defs
Opposite
LinearMap
Basic
Defs
End
Prod
Star
Submodule
Basic
Bilinear
Defs
EqLocus
Equiv
IterateMapComap
Ker
Lattice
LinearMap
Map
Pointwise
Range
RestrictScalars
Basic
BigOperators
Defs
End
Hom
MinimalAxioms
NatInt
Opposite
Pi
Prod
Projective
Rat
RingHom
Torsion
ULift
ZMod
MonoidAlgebra
Basic
Defs
Degree
Division
NoZeroDivisors
Support
MvPolynomial
Basic
CommRing
Degrees
Derivation
Equiv
PDeriv
Rename
Supported
Variables
NoZeroSMulDivisors
Basic
Defs
Pi
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
Pointwise
Power
Rat
Group
Pointwise
Bounds
Unbundled
Abs
Basic
Int
Abs
Action
Basic
Defs
DenselyOrdered
Indicator
InjSurj
Instances
Int
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
TypeTags
WithTop
Basic
Defs
NatCast
OrderDual
Prod
Submonoid
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
Domain
Lemmas
Monomial
Operations
SmallDegree
Support
TrailingDegree
Units
Eval (file)
Algebra
Coeff
Defs
Degree
SMul
Subring
AlgebraMap
Basic
BigOperators
CancelLeads
Coeff
Derivative
Div
EraseLead
FieldDivision
Induction
Inductions
Lifts
Monic
Monomial
Reverse
RingDivision
Roots
Splits
Prime
Defs
Lemmas
Regular
Basic
Pow
SMul
Ring
Action
Basic
Group
Subobjects
Divisibility
Basic
Hom
Basic
Defs
Int (file)
Defs
Parity
Units
Pointwise
Set
Subring
Basic
Defs
Units
Subsemiring
Basic
Defs
AddAut
Aut
Basic
Center
Centralizer
Commute
CompTypeclasses
Defs
Equiv
Fin
Idempotents
InjSurj
Invertible
Nat
NegOnePow
Opposite
Parity
Pi
Prod
Rat
Regular
Semiconj
ULift
Units
Squarefree
Basic
Star
Basic
BigOperators
Center
Module
NonUnitalSubalgebra
Pi
Pointwise
Prod
Rat
SelfAdjoint
StarAlgHom
StarRingHom
Subalgebra
Unitary
AddTorsor
FreeAlgebra
GeomSum
ModEq
NeZero
Notation
Opposites
Periodic
QuadraticDiscriminant
Quotient
SMulWithZero
Analysis
Analytic
Basic
CPolynomial
ChangeOrigin
Composition
Constructions
Inverse
Linear
OfScalars
Within
Asymptotics
AsymptoticEquivalent
Asymptotics
Theta
CStarAlgebra
Basic
Classes
Calculus
BumpFunction
Basic
Convolution
FiniteDimension
InnerProduct
Normed
Conformal
NormedSpace
ContDiff
Basic
Defs
FTaylorSeries
FaaDiBruno
RCLike
WithLp
Deriv
Add
AffineMap
Basic
Comp
Inv
Inverse
Linear
Mul
Polynomial
Pow
Prod
Shift
Slope
Support
ZPow
FDeriv
Add
Analytic
Basic
Bilinear
Comp
Equiv
Extend
Linear
Measurable
Mul
Prod
RestrictScalars
WithLp
InverseFunctionTheorem
ApproximatesLinearOn
Deriv
FDeriv
IteratedDeriv
Defs
Lemmas
LocalExtr
Basic
Rolle
FormalMultilinearSeries
LogDeriv
MeanValue
ParametricIntegral
SmoothSeries
TangentCone
UniformLimitsDeriv
Complex
Asymptotics
Basic
Circle
Conformal
Convex
Isometry
ReImTopology
RealDeriv
Convex
Cone
Basic
Extension
SpecificFunctions
Basic
Deriv
Basic
Between
Combination
Complex
Deriv
Function
Gauge
Hull
Jensen
Mul
Normed
PartitionOfUnity
Segment
Slope
Star
Strict
StrictConvexSpace
Topology
Uniform
Fourier
AddCircle
InnerProductSpace
Basic
Calculus
EuclideanDist
GramSchmidtOrtho
Orientation
Orthogonal
PiL2
Projection
Symmetric
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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
lpSpace
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
ConformalLinearMap
Extend
FunctionSeries
HomeomorphBall
IndicatorFunction
Pointwise
RCLike
Real
RieszLemma
SphereNormEquiv
RCLike
Basic
Lemmas
SpecialFunctions
Complex
Arg
Circle
Log
LogDeriv
Gamma
Basic
BohrMollerup
Deriv
Gaussian
GaussianIntegral
Log
Base
Basic
Deriv
Pow
Asymptotics
Complex
Continuity
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Integral
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Real
Trigonometric
Angle
Arctan
ArctanDeriv
Basic
Complex
ComplexDeriv
Deriv
Inverse
Bernstein
Exp
ExpDeriv
Exponential
ImproperIntegrals
Integrals
JapaneseBracket
NonIntegrable
PolarCoord
PolynomialExp
SmoothTransition
Sqrt
SpecificLimits
Basic
Normed
RCLike
Convolution
MeanInequalities
MeanInequalitiesPow
MellinTransform
PSeries
Seminorm
SumOverResidueClass
Combinatorics
Enumerative
Composition
DoubleCounting
Partition
Control
Monad
Basic
Traversable
Basic
Applicative
Basic
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Functor
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Data
Array
Defs
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Basic
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Abs
Basic
BigOperators
Cardinality
Exponential
FiniteDimensional
Module
Order
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Defs
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Basic
BigOperators
Defs
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Ext
Lex
Module
NeLocus
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Sigma
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ENNReal
Basic
Inv
Lemmas
Operations
Real
ENat
Basic
Lattice
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Tuple
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Basic
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Lattice (file)
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Log
ModEq
Notation
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Basic
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Order
BigOperators
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Defs
Denumerable
Encodable
Floor
Init
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Real
Archimedean
Basic
Cardinality
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EReal
Pointwise
Sqrt
Star
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Set
Finite (file)
Basic
Lattice
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Basic
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BigOperators
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BoolIndicator
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Init
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Basic
Vector
Basic
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Basic
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FixedPoints
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FieldTheory
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Defs
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Defs
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SubMulAction (file)
Pointwise
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Defs
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IterateAct
Pointwise
Quotient
Ring
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Basic
MonoidWithZero
OreLocalization
Basic
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Exponent
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Expr
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Meta (file)
Basic
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LinearAlgebra
AffineSpace
AffineEquiv
AffineMap
AffineSubspace
Basic
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Pointwise
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Basic
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Dimension
Basic
Constructions
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Finite
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Free
FreeAndStrongRankCondition
LinearMap
RankNullity
StrongRankCondition
DirectSum
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TensorProduct
FiniteDimensional (file)
Defs
Finsupp (file)
Defs
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LinearCombination
Pi
Span
SumProd
Supported
VectorSpace
FreeModule
Finite
Basic
Matrix
Basic
StrongRankCondition
Matrix
Determinant
Basic
GeneralLinearGroup
Basic
Defs
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Basis
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Diagonal
MvPolynomial
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Polynomial
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Trace
Transvection
Multilinear
Basic
Basis
Quotient
Basic
Defs
Span (file)
Basic
Defs
TensorProduct
Basic
Basis
Tower
BilinearMap
DFinsupp
Determinant
Dual
FinsuppVectorSpace
GeneralLinearGroup
InvariantBasisNumber
Isomorphisms
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LinearPMap
Orientation
Pi
Prod
Projection
Ray
SesquilinearForm
StdBasis
UnitaryGroup
Logic
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Basic
Set
Encodable
Basic
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CompTypeclasses
Conjugate
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ULift
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Basic
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Denumerable
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OpClass
Pairwise
Relation
Relator
Unique
UnivLE
MeasureTheory
Constructions
BorelSpace
Basic
Complex
ContinuousLinearMap
Metric
Metrizable
Order
Real
Polish
Basic
EventuallyMeasurable
HaarToSphere
Pi
Covering
Besicovitch
BesicovitchVectorSpace
Differentiation
Vitali
VitaliFamily
Decomposition
Exhaustion
Lebesgue
SignedHahn
Function
LpSeminorm
Basic
ChebyshevMarkov
CompareExp
TriangleInequality
SpecialFunctions
Basic
StronglyMeasurable
Basic
Inner
Lemmas
Lp
AEEqFun
AEEqOfIntegral
AEMeasurableOrder
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ContinuousMapDense
EssSup
Jacobian
L1Space
L2Space
LocallyIntegrable
LpOrder
LpSpace
SimpleFunc
SimpleFuncDense
SimpleFuncDenseLp
Group
Action
Arithmetic
Defs
FundamentalDomain
Integral
LIntegral
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Measure
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ExpDecay
FundThmCalculus
Gamma
IntegrableOn
IntegralEqImproper
IntervalIntegral
Layercake
Lebesgue
Marginal
MeanInequalities
Periodic
Pi
Prod
SetIntegral
SetToL1
VitaliCaratheodory
MeasurableSpace
Basic
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Defs
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Instances
Prod
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Basic
Complex
EqHaar
Integral
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Comap
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MeasureSpace
MeasureSpaceDef
MutuallySingular
NullMeasurable
OpenPos
Prod
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Typeclasses
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Lattice
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Basic
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Caratheodory
Defs
Induced
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Operations
VectorMeasure
Basic
PiSystem
NumberTheory
Padics
PadicVal
Defs
Divisors
Order
Atoms (file)
Finite
Bounds
Basic
Defs
Image
OrderIso
CompactlyGenerated
Basic
Intervals
CompleteLattice (file)
Finset
ConditionallyCompleteLattice
Basic
Finset
Group
Indexed
Filter
AtTopBot (file)
Archimedean
BigOperators
Field
Floor
Group
ModEq
Monoid
Ring
Germ
Basic
OrderedMonoid
Bases
Basic
Cofinite
CountableInter
CountableSeparatingOn
Curry
Defs
ENNReal
EventuallyConst
Extr
IndicatorFunction
Interval
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Lift
NAry
Pi
Pointwise
Prod
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SmallSets
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Basic
Hom
Basic
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Lattice
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Interval
Finset
Basic
Defs
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Nat
Set
Basic
Defs
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UnorderedInterval
WithBotTop
Multiset
Monotone
Basic
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Union
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Basic
Set
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Archimedean
Basic
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Limit
Relation
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Basic
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Antisymmetrization
Basic
BooleanAlgebra
Bounded
BoundedOrder
Chain
Circular
Closure
Compare
CompleteBooleanAlgebra
CompleteLatticeIntervals
CompletePartialOrder
Copy
Cover
Defs
Directed
Disjoint
Disjointed
FixedPoints
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Iterate
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KrullDimension
Lattice
LatticeIntervals
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Max
MinMax
Minimal
ModularLattice
Nat
Notation
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OrderIsoNat
Part
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RingTheory
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Defs
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Coprime
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Ideal
Lemmas
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Finiteness (file)
Basic
Bilinear
Cardinality
Defs
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Nakayama
Projective
Subalgebra
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Quotient
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Defs
Operations
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Lattice
Maps
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Nonunits
Operations
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Span
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LocalRing
Basic
Defs
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Basic
Defs
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MvPolynomial
Symmetric
Defs
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Defs
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Defs
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UniqueFactorizationDomain
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Basic
Defs
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Basic
Defs
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Quotient
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RootsOfUnity
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Lattice
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Core
Continuity (file)
Init
Finiteness (file)
Attr
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Attr
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Decl
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Mor
RefinedDiscrTree
StateList
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ToBatteries
Types
GCongr (file)
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Oracle
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PPRoundtrip
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Style
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UpstreamableDecl
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Init
Monotonicity (file)
Attr
Basic
Lemmas
Nontriviality (file)
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Basic
Core
DivMod
Eq
GCD
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Pow
Result
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Basic
Core
Finset
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Symm
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Int
Matrix
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Rat
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Umod
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Carry
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BoolExpr (file)
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LRAT (file)
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RatAddResult
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Prop
Reflect
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references (file)

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