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
Match
Merge
BinomialHeap
Basic
Fin
Basic
Lemmas
List
Init
Lemmas
Basic
Count
FinRange
Lemmas
OfFn
Pairwise
Perm
MLList
Basic
Heartbeats
Nat
Basic
Gcd
RBMap
Alter
Basic
WF
Rat
Basic
Lemmas
String
Basic
Matcher
Lean
Meta
Basic
DiscrTree
Expr
Inaccessible
InstantiateMVars
SavedState
UnusedNames
AttributeExtra
Except
Expr
HashMap
HashSet
MonadBacktrack
NameMap
NameMapAttribute
PersistentHashMap
PersistentHashSet
Position
Syntax
TagAttribute
Linter (file)
UnnecessarySeqFocus
UnreachableTactic
Tactic
Lint (file)
Basic
Frontend
Misc
Simp
TypeClass
Alias
Basic
Congr
Exact
HelpCmd
Init
OpenPrivate
PermuteGoals
SeqFocus
Trans
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
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
Date
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
Exception
Expr
HeadIndex
Hygiene
ImportingFlag
InternalExceptionId
KeyedDeclsAttribute
LabelAttribute
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
Directed
Operations
Pointwise
Prod
Tower
Basic
Bilinear
Defs
Equiv
Field
Hom
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Rat
RestrictScalars
Spectrum
Tower
ZMod
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
Category
Grp
Abelian
Basic
Colimits
EpiMono
EquivalenceGroupAddGroup
ForgetCorepresentable
Kernels
Limits
Preadditive
ZModuleEquivalence
ModuleCat
Abelian
Basic
Biproducts
Colimits
EpiMono
Kernels
Limits
MonCat
Basic
Limits
CharP
Algebra
Basic
CharAndCard
Defs
Invertible
Lemmas
Reduced
Two
CharZero
Defs
Infinite
Lemmas
Quotient
DirectSum
Basic
Decomposition
Finsupp
Module
Divisibility
Basic
Hom
Prod
Units
EuclideanDomain
Basic
Defs
Field
Int
Field
Subfield
Basic
Defs
Basic
Defs
Equiv
IsField
Opposite
Rat
FreeMonoid
Basic
GCDMonoid
Basic
Finset
IntegrallyClosed
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
Nat
Basic
Even
Units
Pi
Basic
Lemmas
Pointwise
Finset
Basic
Set
Basic
BigOperators
Card
Finite
ListOfFn
Semiconj
Basic
Defs
Units
Subgroup
ZPowers
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
TypeTags
Basic
Finite
Hom
UniqueProds
Basic
Units
Basic
Defs
Equiv
Hom
Opposite
WithOne
Defs
AddChar
Aut
Basic
Center
Commutator
Conj
Defs
Embedding
Even
Ext
FiniteSupport
Graph
Indicator
InjSurj
Int
MinimalAxioms
NatPowAssoc
Operations
Opposite
Prod
Support
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
Nat
NeZero
NonZeroDivisors
Opposite
Pi
Prod
Semiconj
ULift
WithZero
Homology
ShortComplex
Ab
Abelian
Basic
ConcreteCategory
Exact
ExactFunctor
Homology
LeftHomology
Limits
ModuleCat
PreservesHomology
QuasiIso
RightHomology
ShortExact
SnakeLemma
ExactSequence
ImageToKernel
Lie
Basic
OfAssociative
Subalgebra
Submodule
Module
Equiv
Basic
Defs
Opposite
LinearMap
Basic
Defs
End
Prod
Star
LocalizedModule
Basic
IsLocalization
Submodule
Submodule
Basic
Bilinear
Defs
EqLocus
Equiv
IterateMapComap
Ker
Lattice
LinearMap
Map
Pointwise
Range
RestrictScalars
Basic
BigOperators
DedekindDomain
Defs
End
Hom
MinimalAxioms
NatInt
Opposite
PID
Pi
Prod
Projective
Rat
RingHom
Torsion
ULift
ZMod
MonoidAlgebra
Basic
Defs
Degree
Division
NoZeroDivisors
Support
MvPolynomial
Basic
CommRing
Degrees
Equiv
Rename
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
Power
Rat
Group
Pointwise
Bounds
Interval
Unbundled
Abs
Basic
Int
Abs
Action
Basic
Defs
DenselyOrdered
Indicator
InjSurj
Instances
Lattice
MinMax
Nat
OrderIso
PiLex
PosPart
Synonym
TypeTags
Units
GroupWithZero
Action
Synonym
Unbundled (file)
Lemmas
Canonical
Finset
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
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
Algebra
Coeff
Defs
Degree
Irreducible
SMul
Subring
AlgebraMap
Basic
BigOperators
CancelLeads
Coeff
Derivative
Div
EraseLead
Expand
FieldDivision
GroupRingAction
Identities
Inductions
Laurent
Lifts
Monic
Monomial
Reverse
RingDivision
Roots
Splits
Prime
Defs
Lemmas
Regular
Basic
Pow
SMul
Ring
Action
Basic
Field
Group
Invariant
Subobjects
Divisibility
Basic
Hom
Basic
Defs
Int
Defs
Parity
Units
Pointwise
Set
Subring
Basic
Defs
Pointwise
Units
Subsemiring
Basic
Defs
Pointwise
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
Pi
Pointwise
Prod
Rat
SelfAdjoint
StarAlgHom
StarRingHom
Subalgebra
Unitary
AddTorsor
DirectLimit
Exact
FreeAlgebra
GeomSum
IsPrimePow
ModEq
NeZero
Notation
Opposites
Periodic
QuadraticDiscriminant
Quotient
SMulWithZero
Analysis
Analytic
Basic
CPolynomial
ChangeOrigin
Composition
Constructions
Inverse
Linear
OfScalars
Uniqueness
Within
Asymptotics
AsymptoticEquivalent
Asymptotics
Theta
BoxIntegral
Box
Basic
SubboxInduction
Partition
Additive
Basic
Filter
Measure
Split
SubboxInduction
Tagged
Basic
DivergenceTheorem
Integrability
CStarAlgebra
Basic
Calculus
ContDiff
Basic
Defs
FTaylorSeries
FaaDiBruno
RCLike
Deriv
Add
AffineMap
Basic
Comp
Inv
Inverse
Linear
Mul
Polynomial
Pow
Shift
Slope
ZPow
FDeriv
Add
Analytic
Basic
Bilinear
Comp
Equiv
Linear
Measurable
Mul
Pi
Prod
RestrictScalars
IteratedDeriv
Defs
Lemmas
LocalExtr
Basic
Rolle
DSlope
DiffContOnCl
FormalMultilinearSeries
LogDeriv
MeanValue
TangentCone
Complex
Polynomial
Basic
Arg
Asymptotics
Basic
CauchyIntegral
Liouville
ReImTopology
RealDeriv
Convex
Cone
Basic
Extension
SpecificFunctions
Basic
Basic
Between
Combination
Function
Gauge
Hull
Jensen
Mul
Normed
Segment
Slope
Star
Strict
StrictConvexSpace
Topology
Uniform
InnerProductSpace
Basic
GramSchmidtOrtho
Orientation
Orthogonal
PiL2
Projection
Symmetric
LocallyConvex
BalancedCoreHull
Basic
Bounded
Polar
WithSeminorms
Normed
Affine
AddTorsor
AddTorsorBases
Isometry
Algebra
Exponential
Field
Basic
InfiniteSum
Lemmas
Group
AddCircle
AddTorsor
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
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MulAction
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HahnBanach
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SeparatingDual
Separation
Multilinear
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Curry
OperatorNorm
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Mul
NNNorm
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Extend
IndicatorFunction
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RCLike
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RieszLemma
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SpecialFunctions
Complex
Arg
Log
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Base
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Pow
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NNReal
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Angle
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Exp
ExpDeriv
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SpecificLimits
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Normed
RCLike
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Oscillation
Seminorm
CategoryTheory
Abelian
Basic
Exact
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Adjunction
Basic
Comma
FullyFaithful
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Mates
Over
Reflective
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Functor
Lax
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Coherence
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LocallyDiscrete
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Basic
Cat
Init
Preorder
ULift
Comma
StructuredArrow
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Basic
Over
ConcreteCategory
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Elementwise
EpiMono
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Filtered
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FinCategory
AsType
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Category
Const
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Basic
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PathCategory
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Pi
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FunctorCategory
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Unitor
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FactorThru
Lattice
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WellPowered
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CommSq
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Conj
DiscreteCategory
Endomorphism
EpiMono
EqToHom
Equivalence
EssentialImage
EssentiallySmall
FullSubcategory
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HomCongr
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NatIso
NatTrans
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PEmpty
PUnit
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Enumerative
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Partition
Quiver
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Path
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Push
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ULift
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Bool
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Set
Complex
Abs
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BigOperators
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Order
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DFinsupp
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Encodable
Ext
FiniteInfinite
Lex
Module
Multiset
NeLocus
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Sigma
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Inv
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Real
ENat
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Lattice
Fin
Tuple
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VecNotation
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Set
Sigma
Sum
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Card
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Empty
Erase
Filter
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Fold
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Insert
Max
NAry
NatAntidiagonal
NoncommProd
Option
Order
Pairwise
Pi
Piecewise
Powerset
Preimage
Prod
Range
SDiff
Sigma
Sort
Sum
SymmDiff
Union
Update
Finsupp
Antidiagonal
Basic
Defs
Fin
Fintype
Indicator
Lex
Multiset
Notation
Order
ToDFinsupp
Fintype
Basic
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CardEmbedding
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Lattice
List
Option
Order
Parity
Perm
Pi
Powerset
Prod
Quotient
Sigma
Sort
Sum
Units
Vector
FunLike
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Embedding
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Int
Cast
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Field
Lemmas
Prod
Order
Basic
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Bitwise
CharZero
ConditionallyCompleteOrder
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DivMod
GCD
Interval
LeastGreatest
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Log
ModEq
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Range
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Star
SuccPred
List
EditDistance
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Estimator
Perm
Basic
Lattice
Subperm
AList
Basic
Chain
Count
Cycle
Dedup
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Duplicate
FinRange
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Forall2
GetD
Infix
InsertIdx
Lattice
Lemmas
Lex
MinMax
Monad
NatAntidiagonal
Nodup
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OfFn
Pairwise
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Pi
Prime
ProdSigma
Range
Rotate
Sigma
Sort
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TFAE
Zip
MLList
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Matrix
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DMatrix
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RowCol
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Pi
Powerset
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Sections
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Sum
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Lemmas
Order
NNReal
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Star
Nat
Cast
Order
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Ring
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NeZero
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WithTop
Choose
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Prime
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Pow
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Size
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Totient
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NAry
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Set
Finite
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Function
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Image
Lattice
List
MemPartition
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NAry
Notation
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Semiring
Sigma
Subset
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UnionLift
SetLike
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Setoid
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Sigma
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Lex
String
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Sum
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Order
Sym
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Tree
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Vector
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W
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ZMod
Aut
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IntUnitsPower
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Bracket
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Ineq
Opposite
PFun
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Quot
Rel
SProd
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TypeMax
ULift
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Basic
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PeriodicPts
FieldTheory
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GaloisField
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IntermediateField
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FreeGroup
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IterateAct
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Term
Expr
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ExtraRecognizers
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ReplaceRec
Meta (file)
Basic
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TensorProduct
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UnitaryGroup
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Set
Encodable
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Lattice
Equiv
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Embedding
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List
Nat
Option
PartialEquiv
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TransferInstance
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CompTypeclasses
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Iterate
ULift
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Small
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Group
List
Set
Basic
Denumerable
ExistsUnique
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Nonempty
OpClass
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UnivLE
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BorelSpace
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Complex
ContinuousLinearMap
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Metrizable
Order
Real
EventuallyMeasurable
Pi
Decomposition
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LpSeminorm
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ChebyshevMarkov
CompareExp
TriangleInequality
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Basic
StronglyMeasurable
Basic
Lemmas
AEEqFun
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L1Space
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SimpleFunc
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Action
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Defs
LIntegral
MeasurableEquiv
Measure
Pointwise
Prod
Integral
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DivergenceTheorem
DominatedConvergence
FundThmCalculus
IntegrableOn
IntervalIntegral
Lebesgue
Marginal
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Prod
SetIntegral
SetToL1
VitaliCaratheodory
MeasurableSpace
Basic
CountablyGenerated
Defs
Embedding
Instances
Prod
Measure
Haar
Basic
InnerProductSpace
OfBasis
Lebesgue
Basic
Complex
EqHaar
AEDisjoint
AEMeasurable
Comap
Content
Count
Dirac
Doubling
GiryMonad
MeasureSpace
MeasureSpaceDef
MutuallySingular
NullMeasurable
OpenPos
Prod
Regular
Restrict
Stieltjes
Trim
Typeclasses
WithDensity
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Lattice
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AE
Basic
BorelCantelli
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Induced
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PiSystem
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Definability
LanguageMap
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PrimitiveRoots
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GaussSum
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NumberField
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Indexed
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LinearOrder
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AtTopBot (file)
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Group
ModEq
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Germ
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Basic
Cofinite
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CountableSeparatingOn
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Defs
ENNReal
EventuallyConst
Extr
Finite
IndicatorFunction
Interval
Ker
Lift
NAry
Pi
Pointwise
Prod
SmallSets
Subsingleton
Tendsto
Ultrafilter
Fin
Basic
Tuple
Heyting
Basic
Hom
Basic
Bounded
CompleteLattice
Lattice
Order
Set
Interval
Finset
Basic
Defs
Fin
Nat
Set
Basic
Defs
Disjoint
Image
Infinite
Monotone
OrdConnected
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OrderEmbedding
OrderIso
Pi
ProjIcc
UnorderedInterval
WithBotTop
Multiset
Monotone
Basic
Monovary
RelIso
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Set
SuccPred
Archimedean
Basic
CompleteLinearOrder
Limit
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UpperLower
Basic
Antichain
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Basic
BooleanAlgebra
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Compare
CompleteBooleanAlgebra
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Cover
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LiminfLimsup
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Nat
Notation
OmegaCompletePartialOrder
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Part
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PiLex
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ULift
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Over
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Span
Int
Basic
IntegralClosure
Algebra
Basic
Defs
IsIntegral
Basic
Defs
IsIntegralClosure
Basic
Defs
IntegrallyClosed
LocalRing
MaximalIdeal
Basic
Defs
ResidueField
Basic
Defs
RingHom
Basic
Basic
Defs
Localization
AsSubring
AtPrime
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FractionRing
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Integer
Integral
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NumDen
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Orzech
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MulAction
OpenSubgroup
Polynomial
Star
Support
UniformConvergence
UniformField
UniformFilterBasis
UniformMulAction
UniformRing
WithZeroTopology
Baire
CompleteMetrizable
Lemmas
Bornology
Absorbs
Basic
BoundedOperation
Constructions
Hom
Compactness
Compact
Lindelof
LocallyCompact
SigmaCompact
Connected
Basic
Clopen
LocallyConnected
PathConnected
TotallyDisconnected
ContinuousMap
Bounded
Basic
Star
Algebra
Basic
CocompactMap
Compact
ContinuousMapZero
Defs
Star
Defs
Basic
Filter
Induced
Sequences
Ultrafilter
EMetricSpace
Basic
Defs
Diam
Lipschitz
Pi
FiberBundle
IsHomeomorphicTrivialBundle
GDelta
Basic
UniformSpace
Hom
ContinuousEval
ContinuousEvalConst
Instances
AddCircle
Discrete
ENNReal
EReal
Int
Matrix
NNReal
Nat
Rat
Real
RealVectorSpace
Sign
ZMultiples
Maps
Proper
Basic
Basic
OpenQuotient
MetricSpace
Pseudo
Basic
Constructions
Defs
Lemmas
Pi
Real
Algebra
Antilipschitz
Basic
Bounded
CauSeqFilter
Cauchy
Completion
Defs
Dilation
DilationEquiv
Equicontinuity
HausdorffDistance
IsometricSMul
Isometry
Lipschitz
ProperSpace
ThickenedIndicator
Thickening
Metrizable
Basic
Uniformity
Order (file)
Basic
Bornology
Compact
DenselyOrdered
ExtendFrom
IntermediateValue
IsLUB
Lattice
LeftRight
LeftRightLim
LeftRightNhds
LocalExtr
Monotone
MonotoneContinuity
MonotoneConvergence
OrderClosed
ProjIcc
Rolle
T5
Separation
Basic
Sets
Closeds
Compacts
Opens
UniformSpace
AbstractCompletion
Basic
Cauchy
Compact
CompactConvergence
CompleteSeparated
Completion
Equicontinuity
Equiv
HeineCantor
OfFun
Pi
Separation
UniformConvergence
UniformConvergenceTopology
UniformEmbedding
Bases
Basic
Clopen
CompactOpen
Constructions
ContinuousOn
DenseEmbedding
DiscreteSubset
ExtendFrom
Filter
Homeomorph
IndicatorConstPointwise
Inseparable
Irreducible
IsLocalHomeomorph
LocallyFinite
NhdsSet
NoetherianSpace
PartialHomeomorph
QuasiSeparated
RestrictGen
Semicontinuous
SeparatedMap
Sequences
Ultrafilter
UnitInterval
Util
AddRelatedDecl
AssertExists
AssertExistsExt
AtomM
CompileInductive
CountHeartbeats
Delaborators
DischargerAsTactic
MemoFix
Notation3
Qq
SynthesizeUsing
Tactic
WhatsNew
WithWeakNamespace
Init
Plausible (file)
Attr
Functions
Gen
Random
Sampleable
Tactic
Testable
ProofWidgets
Component
Panel
Basic
Basic
HtmlDisplay
MakeEditLink
OfRpcMethod
PenroseDiagram
Data
Html
Presentation
Expr
Cancellable
Compat
Util
Qq (file)
ForLean
Do
ReduceEval
ToExpr
AssertInstancesCommute
Delab
Macro
Match
MetaM
SortLocalDecls
Typ
Std (file)
Data (file)
DHashMap (file)
Internal
AssocList
Basic
Lemmas
List
Associative
Defs
HashesTo
Defs
Index
Model
Raw
RawLemmas
WF
AdditionalOperations
Basic
Lemmas
Raw
RawDef
RawLemmas
HashMap (file)
AdditionalOperations
Basic
Lemmas
Raw
RawLemmas
HashSet (file)
Basic
Lemmas
Raw
RawLemmas
Internal (file)
Parsec (file)
Basic
ByteArray
String
Sat (file)
AIG (file)
RefVecOperator (file)
Fold
Map
Zip
Basic
CNF
Cached
CachedGates
CachedGatesLemmas
CachedLemmas
If
LawfulOperator
LawfulVecOperator
Lemmas
RefVec
Relabel
RelabelNat
CNF (file)
Basic
Dimacs
Literal
Relabel
RelabelFin
Tactic (file)
BVDecide (file)
Bitblast (file)
BVExpr (file)
Circuit (file)
Impl (file)
Operations
Add
Append
Eq
Extract
GetLsbD
Mul
Neg
Not
Replicate
RotateLeft
RotateRight
ShiftLeft
ShiftRight
SignExtend
Sub
Udiv
Ult
Umod
ZeroExtend
Carry
Const
Expr
Pred
Var
Lemmas (file)
Operations
Add
Append
Eq
Extract
GetLsbD
Mul
Neg
Not
Replicate
RotateLeft
RotateRight
ShiftLeft
ShiftRight
SignExtend
Sub
Udiv
Ult
Umod
ZeroExtend
Basic
Carry
Const
Expr
Pred
Var
Basic
BoolExpr (file)
Basic
Circuit
LRAT (file)
Internal
Formula (file)
Class
Implementation
Instance
Lemmas
RatAddResult
RatAddSound
RupAddResult
RupAddSound
Actions
Assignment
CNF
Clause
Convert
Entails
LRATChecker
LRATCheckerSound
PosFin
Actions
Checker
Parser
Normalize (file)
BitVec
Bool
Canonicalize
Equal
Prop
Reflect
Syntax
equational_theories (file)
Definability (file)
Basic
Simple
Tarski543
Duals
All
Basic
Command
Equations
All
Basic
Command
Eqns1000_1999
Eqns1_999
Eqns2000_2999
Eqns3000_3999
Eqns4000_4694
LawsComplete
ForMathlib
GroupTheory
FreeGroup
ReducedWords
Definability
Generated (file)
All4x4Tables (file)
Refutation0
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Confluence (file)
ManuallySampled
EquationSearch (file)
theorems
Combined
FinSearch (file)
theorems
Refutation0
Refutation1
Refutation2
Refutation3
Refutation4
Refutation5
FiniteImplicationSearch (file)
theorems
Inverses1
InversesManual
FinitePoly (file)
Refutation108
Refutation112
Refutation114
Refutation116
Refutation120
Refutation126
Refutation128
Refutation132
Refutation138
Refutation14
Refutation144
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Refutation6
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Greedy (file)
Eq1112
Eq1113
Eq118
Eq124
Eq1648
Eq476
Eq503
Eq511
Eq677
Eq707
Eq883
Eq906
OrLemmas
InvariantMetatheoremNonimplications (file)
instLiftingMagmaFamilyFinset_counterexamples
instLiftingMagmaFamilyLeftProj_counterexamples
instLiftingMagmaFamilyList_counterexamples
instLiftingMagmaFamilyMultiset_counterexamples
instLiftingMagmaFamilyRightProj_counterexamples
MagmaEgg
small (file)
_000
_001
_002
_003
_004
_005
_006
_007
_008
_009
_010
_011
_012
_013
_014
_015
_016
_017
_018
SimpleRewrites (file)
theorems
Rewrite_uw
Rewrite_uw_vu
Rewrite_uw_vu_wx
Rewrite_uw_vu_wy
Rewrite_uw_vu_wz
Rewrite_uw_vu_wz_yx_zy
Rewrite_uw_vu_wz_zx
Rewrite_uw_vu_wz_zy
Rewrite_uw_wx
Rewrite_uw_wy
Rewrite_uw_wz
Rewrite_uw_wz_yx_zy
Rewrite_uw_wz_zx
Rewrite_uw_wz_zy
Rewrite_ux
Rewrite_ux_vu
Rewrite_uy
Rewrite_uy_vu
Rewrite_uz
Rewrite_uz_vu
Rewrite_vu
Rewrite_vw
Rewrite_vx
Rewrite_vy
Rewrite_vz
Rewrite_wx
Rewrite_wy
Rewrite_wz
Rewrite_wz_yx_zy
Rewrite_wz_zx
Rewrite_wz_zy
Rewrite_yx
Rewrite_yx_zy
Rewrite_zx
Rewrite_zy
TrivialBruteforce (file)
theorems
Apply
Apply2
NthRewrites
RewriteCombinations
RewriteGoal
RewriteHypothesis
RewriteHypothesisAndGoal
VampireProven (file)
Proofs1
Proofs10
Proofs11
Proofs12
Proofs13
Proofs2
Proofs3
Proofs4
Proofs5
Proofs6
Proofs7
Proofs8
Proofs9
Constant
Equation1
Singleton
ManuallyProved (file)
Equation1076
Equation1117
Equation1133
Equation1289
Equation1323
Equation1437
Equation1441
Equation1447
Equation1516
Equation1518
Equation1526
Equation1648
Equation1659
Equation1661
Equation1701
Equation1722
Equation3308
Equation3342
Equation467
Equation63
Equation713
Equation73
Equation854
Equation906
Equation917
Mathlib
Data
List
Chain
Defs
Lemmas
GroupTheory
OrderOfElement
Order
Greedy
AdjoinFresh
Asterix
CentralGroupoids
Closure
Compactness
Completeness
Confluence
Confluence1
Confluence2
Confluence3
Confluence4
ConfluenceSystem
Conjectures
Counting
DecideBang
EquationLawConversion
EquationalResult
FactsSyntax
FiniteModel
FreeComm
FreeMagma
FreeMagmaImplications
FreeSemigroup
FreshGenerator
Homomorphisms
InfModel
LiftingMagmaFamilies
LinearOps
Magma
MagmaLaw
MagmaOp
MemoFinOp
Obelix
OrderMetatheorem
ParseImplications
PartialMagma
Preorder
RArray
SmallMagmas
StringMagmas
Subgraph
Superposition
ThreeC2
WeakCentralGroupoids
Z3Counterexamples
references (file)

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