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
Forward
Match (
file
)
Types
State (
file
)
ApplyGoalDiff
Initial
LevelIndex
PremiseIndex
RuleInfo
SlotIndex
Substitution
Frontend
Extension (
file
)
Init
Attribute
Basic
Command
RuleExpr
Saturate
Tactic
Index (
file
)
Basic
DiscrTreeConfig
Forward
RulePattern
Options (
file
)
Internal
Public
RPINF (
file
)
Basic
Rule (
file
)
Basic
Forward
Name
RulePattern (
file
)
Cache
RuleSet (
file
)
Filter
Member
Name
RuleTac (
file
)
Forward (
file
)
Basic
Apply
Basic
Cases
Descr
ElabRuleTerm
FVarIdSubst
GoalDiff
Preprocess
RuleTerm
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
)
Data (
file
)
ForwardRuleMatches
AddRapp
Check
ExtractProof
ExtractScript
Free
RunMetaM
State
Tracing
Traversal
TreeM
UnsafeQueue
Util
Tactic (
file
)
Ext
Unfold
Basic
EqualUpToIds
UnionFind
UnorderedArraySet
BaseM
Check
Constants
ElabM
Exception
Main
Nanos
Percent
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
List
Init
Lemmas
Basic
Count
Lemmas
Pairwise
Perm
MLList
Basic
Nat
Basic
Gcd
Lemmas
RBMap
Alter
Basic
WF
Rat
Basic
Lemmas
String
Basic
Int
NameSet
Lean
Meta
Basic
DiscrTree
Expr
Inaccessible
InstantiateMVars
SavedState
UnusedNames
AttributeExtra
Except
Expr
HashSet
MonadBacktrack
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
Util
Cache
ExtendedBinder
LibraryNote
ProofWanted
Logic
WF
Carleson (
file
)
Antichain
AntichainOperator
AntichainTileCount
TileCorrelation
Classical
Approximation
Basic
CarlesonOnTheRealLine
CarlesonOperatorReal
ClassicalCarleson
ControlApproximationEffect
DirichletKernel
Helper
HilbertKernel
HilbertStrongType
SpectralProjectionBound
VanDerCorput
Discrete
Defs
ExceptionalSet
ForestComplement
ForestUnion
MainTheorem
SumEstimates
ForestOperator
AlmostOrthogonality
Forests
L2Estimate
LargeSeparation
PointwiseEstimate
QuantativeEstimate
RemainingTiles
ToMathlib
Analysis
Convex
SpecificFunctions
Basic
Convolution
Data
Real
ConjExponents
Set
Lattice
ENNReal
NNReal
MeasureTheory
Function
LpSeminorm
Basic
Group
LIntegral
Integral
Lebesgue
MeanInequalities
Periodic
SetIntegral
Measure
Haar
Unique
Prod
Order
Chain
Topology
Instances
AddCircle
Annulus
BoundedCompactSupport
CoverByBalls
DoublingMeasure
ENorm
HardyLittlewood
MeasureReal
MinLayer
Misc
RealInterpolation
WeakType
TwoSidedCarleson
MainTheorem
NontangentialOperator
WeakCalderonZygmund
Calculations
Defs
FinitaryCarleson
Forest
GridStructure
HolderVanDerCorput
LinearizedMetricCarleson
MetricCarleson
MinLayerTiles
Psi
TileExistence
TileStructure
ImportGraph
Imports
RequiredModules
Init (
file
)
Control (
file
)
Lawful (
file
)
Basic
Instances
Lemmas
Basic
EState
Except
ExceptCps
Id
Option
Reader
State
StateCps
StateRef
Data (
file
)
Array (
file
)
Lex (
file
)
Basic
Lemmas
Subarray (
file
)
Split
Attach
Basic
BasicAux
BinSearch
Bootstrap
Count
DecidableEq
Erase
Extract
FinRange
Find
GetLit
InsertIdx
InsertionSort
Lemmas
MapIdx
Mem
Monadic
OfFn
Perm
QSort
Range
Set
TakeDrop
Zip
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
DivMod (
file
)
Basic
Bootstrap
Lemmas
Basic
Cooper
DivModLemmas
Gcd
Lemmas
LemmasAux
Linear
Order
Pow
List (
file
)
Nat (
file
)
BEq
Basic
Count
Erase
Find
InsertIdx
Modify
Pairwise
Perm
Range
Sublist
TakeDrop
Sort (
file
)
Basic
Impl
Lemmas
Attach
Basic
BasicAux
Control
Count
Erase
FinRange
Find
Impl
Lemmas
Lex
MapIdx
MinMax
Monadic
Notation
OfFn
Pairwise
Perm
Range
Sublist
TakeDrop
ToArray
ToArrayImpl
Zip
Nat (
file
)
Bitwise (
file
)
Basic
Lemmas
Div
Basic
Lemmas
Basic
Compare
Control
Dvd
Fold
Gcd
Lcm
Lemmas
Linear
Log2
MinMax
Mod
Power2
SOM
Simproc
Option (
file
)
Attach
Basic
BasicAux
Instances
Lemmas
List
Monadic
Range (
file
)
Basic
Lemmas
SInt (
file
)
Basic
Bitwise
Float
Float32
Lemmas
String (
file
)
Basic
Extra
Lemmas
Sum (
file
)
Basic
Lemmas
ToString (
file
)
Basic
Macro
UInt (
file
)
Basic
BasicAux
Bitwise
Lemmas
Log2
Vector (
file
)
Attach
Basic
Count
DecidableEq
Erase
Extract
FinRange
InsertIdx
Lemmas
Lex
MapIdx
Monadic
OfFn
Range
Zip
AC
BEq
Basic
Bool
Cast
Channel
Float
Float32
Function
Hashable
NeZero
OfScientific
Ord
PLift
Prod
Queue
RArray
Random
Repr
Stream
Subtype
ULift
Zero
Grind (
file
)
Cases
Lemmas
Norm
Offset
PP
Propagator
Tactics
Util
Internal (
file
)
Order (
file
)
Basic
Lemmas
Tactic
Omega (
file
)
Coeffs
Constraint
Int
IntList
LinearCombo
Logic
System (
file
)
FilePath
IO
IOError
Mutex
Platform
Promise
ST
Uri
BinderNameHint
BinderPredicates
ByCases
Classical
Coe
Conv
Core
Dynamic
Ext
GetElem
Guard
Hints
MacroTrace
Meta
MetaTypes
Notation
NotationExtra
Prelude
PropLemmas
RCases
ShareCommon
SimpLemmas
Simproc
SizeOf
SizeOfLemmas
Syntax
Tactics
TacticsExtra
Try
Util
WF
WFTactics
While
Lake (
file
)
Build (
file
)
Job (
file
)
Basic
Monad
Register
Target (
file
)
Basic
Fetch
Actions
Common
Context
Data
Executable
Facets
Fetch
Imports
Index
Info
Key
Library
Module
Package
Run
Store
Targets
Topological
Trace
CLI
Actions
Build
Error
Config (
file
)
Context
Defaults
Dependency
Dynlib
Env
ExternLib
ExternLibConfig
FacetConfig
Glob
InstallPath
LeanConfig
LeanExe
LeanExeConfig
LeanLib
LeanLibConfig
Module
Monad
Opaque
OutFormat
Package
Script
TargetConfig
Workspace
WorkspaceConfig
DSL (
file
)
Attributes
AttributesCore
Config
DeclUtil
Extensions
Meta
Package
Require
Script
Targets
Load
Config
Manifest
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
OpaqueType
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
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
CancelParams
Capabilities
Client
CodeActions
Communication
Diagnostics
Extra
InitShutdown
Internal
Ipc
LanguageFeatures
TextSync
Utf16
Workspace
Xml (
file
)
Basic
Parser
Array
AssocList
DeclarationRange
Format
FuzzyMatching
HashMap
HashSet
JsonRpc
KVMap
LBool
LOption
Name
NameMap
NameTrie
OpenDecl
Options
PersistentArray
PersistentHashMap
PersistentHashSet
Position
PrefixTree
RArray
RBMap
RBTree
SMap
SSet
Trie
DocString (
file
)
Extension
Elab (
file
)
Deriving (
file
)
BEq
Basic
DecEq
FromToJson
Hashable
Inhabited
Nonempty
Ord
Repr
SizeOf
ToExpr
TypeName
Util
InfoTree (
file
)
InlayHints
Main
Types
PreDefinition (
file
)
Nonrec
Eqns
PartialFixpoint (
file
)
Eqns
Induction
Main
Structural (
file
)
BRecOn
Basic
Eqns
FindRecArg
IndGroupInfo
IndPred
Main
Preprocess
RecArgInfo
SmartUnfolding
WF (
file
)
Basic
Eqns
Fix
FloatRecApp
GuessLex
Ite
Main
PackMutual
Preprocess
Rel
Unfold
Basic
EqUnfold
Eqns
Main
MkInhabitant
Mutual
TerminationHint
TerminationMeasure
Quotation (
file
)
Precheck
Util
Tactic (
file
)
BVDecide (
file
)
Frontend (
file
)
BVDecide (
file
)
Reflect
ReifiedBVExpr
ReifiedBVLogical
ReifiedBVPred
ReifiedLemmas
Reify
SatAtBVLogical
Normalize (
file
)
AC
AndFlatten
Basic
EmbeddedConstraint
Enums
IntToBitVec
Rewrite
Simproc
Structures
TypeAnalysis
Attr
BVCheck
BVTrace
LRAT
LRAT (
file
)
Trim
External
Conv (
file
)
Basic
Change
Congr
Delta
Pattern
Rewrite
Simp
Unfold
Omega (
file
)
Core
Frontend
MinNatAbs
OmegaM
AsAuxLemma
Basic
BoolToPropSimps
BuiltinTactic
Cache
Calc
Change
Classical
Config
Congr
Delta
DiscrTreeKey
Doc
ElabTerm
ExposeNames
Ext
FalseOrByContra
Generalize
Grind
Guard
Induction
Injection
LibrarySearch
Location
Match
Meta
Monotonicity
NormCast
RCases
Repeat
Rewrite
Rewrites
Rfl
ShowTerm
Simp
SimpArith
SimpTrace
Simpa
Simproc
SolveByElim
Split
Symm
TreeTacAttr
Try
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
InfoTrees
InheritDoc
LetRec
Level
Macro
MacroArgUtil
MacroRules
Match
MatchAltView
MatchExpr
Mixfix
MutualDef
MutualInductive
Notation
Open
ParseImportsFast
PatternVar
Print
RecAppSyntax
RecommendedSpelling
SetOption
StructInst
Structure
Syntax
SyntheticMVars
Term
Time
Util
Language
Lean (
file
)
Types
Basic
Util
Linter (
file
)
Basic
Builtin
ConstructorAsVariable
Deprecated
List
MissingDocs
Omit
UnusedVariables
Util
Meta (
file
)
ArgsPacker (
file
)
Basic
Constructions (
file
)
BRecOn
CasesOn
NoConfusion
RecOn
Match (
file
)
MatcherApp (
file
)
Basic
Transform
Basic
CaseArraySizes
CaseValues
Match
MatchEqs
MatchEqsExt
MatchPatternAttr
MatcherInfo
Value
Tactic (
file
)
AC (
file
)
Main
Grind (
file
)
Arith (
file
)
Cutsat (
file
)
DvdCnstr
EqCnstr
Inv
LeCnstr
Model
Proof
Search
SearchM
Types
Util
Var
Offset (
file
)
Main
Model
Proof
Types
Util
Internalize
Inv
Main
Model
ProofUtil
Types
Util
Attr
Beta
Canon
Cases
CasesMatch
Combinators
Core
Ctor
Diseq
EMatch
EMatchTheorem
ENodeKey
EqResolution
Ext
ForallProp
Injection
Internalize
Intro
Inv
Main
MarkNestedProofs
MatchCond
MatchDiscrOnly
PP
Parser
Proj
Proof
Propagate
PropagatorAttr
ProveEq
RevertAll
Simp
SimpUtil
Solve
Split
Types
Util
LinearArith (
file
)
Nat (
file
)
Basic
Simp
Solver
Basic
Main
Simp
Solver
Simp (
file
)
Arith (
file
)
Int (
file
)
Basic
Simp
Nat (
file
)
Basic
Simp
Util
BuiltinSimprocs (
file
)
Array
BitVec
Char
Core
Fin
Int
List
Nat
String
UInt
Util
Attr
Diagnostics
Main
RegisterCommand
Rewrite
SimpAll
SimpCongrTheorems
SimpTheorems
Simproc
Types
Try (
file
)
Collect
Acyclic
Apply
Assert
Assumption
AuxLemma
Backtrack
Cases
Cleanup
Clear
Congr
Constructor
Contradiction
Delta
ElimInfo
ExposeNames
Ext
FVarSubst
FunInd
FunIndCollect
FunIndInfo
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
BinderNameHint
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
IntInstTesters
Iterator
KAbstract
KExprMap
LazyDiscrTree
LevelDefEq
LitValues
MatchUtil
NatInstTesters
Offset
PPGoal
PProdN
RecursorInfo
Reduce
ReduceEval
SizeOf
Sorry
Structure
SynthInstance
Transform
TransparencyMode
UnificationHint
WHNF
Parser (
file
)
Tactic (
file
)
Doc
Term (
file
)
Doc
Attr
Basic
Command
Do
Extension
Extra
Level
Module
StrInterpolation
Syntax
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
Completion (
file
)
CompletionCollectors
CompletionInfoSelection
CompletionItemData
CompletionResolution
CompletionUtils
EligibleHeaderDecls
ImportCompletion
SyntheticCompletion
FileWorker (
file
)
InlayHints
RequestHandling
SemanticHighlighting
SetupFile
Utils
WidgetRequests
Rpc (
file
)
Basic
Deriving
RequestHandling
Test (
file
)
Cancel
Runner
AsyncList
FileSource
GoTo
InfoUtils
References
RequestCancellation
Requests
ServerTask
Snapshots
Utils
Watchdog
Util (
file
)
CollectAxioms
CollectFVars
CollectLevelMVars
CollectLevelParams
CollectMVars
Diff
FVarSubset
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
SortExprs
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
PremiseSelection
PrivateName
ProjFns
ReducibilityAttrs
Replay
ReservedNameAction
ResolveName
Runtime
ScopedEnvExtension
Structure
SubExpr
Syntax
ToExpr
ToLevel
LeanSearchClient (
file
)
Basic
LoogleSyntax
Syntax
Mathlib
Algebra
AddTorsor (
file
)
Basic
Defs
Algebra
Subalgebra
Basic
Operations
Prod
Tower
Basic
Bilinear
Defs
Equiv
Field
Hom
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Rat
RestrictScalars
Spectrum
Tower
BigOperators
Group
Finset
Basic
Defs
Pi
Powerset
Preimage
Sigma
List
Basic
Defs
Lemmas
Multiset
Basic
Defs
GroupWithZero
Action
Finset
Ring (
file
)
Finset
List
Multiset
Associated
Balance
Expect
Field
Fin
Finprod
Finsupp
Intervals
Module
NatAntidiagonal
Option
Pi
RingEquiv
WithTop
CharP
Basic
Defs
Invertible
Lemmas
Two
CharZero
Defs
Infinite
Lemmas
Quotient
DirectSum
Basic
Decomposition
Finsupp
Module
Divisibility
Basic
Hom
Units
Equiv
TransferInstance
EuclideanDomain
Basic
Defs
Field
Int
Field
Subfield
Basic
Defs
Basic
Defs
Equiv
IsField
NegOnePow
Opposite
Periodic
Rat
FreeMonoid
Basic
GCDMonoid
Basic
Multiset
Nat
Group
Action
Pointwise
Set
Basic
Basic
Defs
End
Faithful
Hom
Opposite
Pi
Pretransitive
Prod
TypeTags
Units
Commute
Basic
Defs
Hom
Units
Equiv
Basic
Defs
Opposite
TypeTags
Fin
Basic
Tuple
Hom
Basic
CompTypeclasses
Defs
End
Instances
Int
Defs
Even
Units
Invertible
Basic
Defs
Nat
Defs
Even
Hom
Range
Units
Pi
Basic
Lemmas
Notation
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
BigOperators
Defs
DistribMulAction
Membership
MulAction
MulOpposite
Operations
Pointwise
Subsemigroup
Basic
Defs
Membership
Operations
TypeTags
Basic
Finite
Fintype
Hom
UniqueProds
Basic
Units
Basic
Defs
Equiv
Hom
Opposite
WithOne
Defs
AddChar
Aut
Basic
Center
Commutator
Conj
Defs
Embedding
End
Even
FiniteSupport
Graph
Idempotent
Indicator
InjSurj
NatPowAssoc
Operations
Opposite
PUnit
Prod
Support
ULift
GroupPower
IterateHom
GroupWithZero
Action
Pointwise
Set
Basic
Defs
End
Opposite
Pi
Prod
Units
Pointwise
Set
Basic
Units
Basic
Equiv
Lemmas
Associated
Basic
Center
Commute
Defs
Divisibility
Hom
Idempotent
Indicator
InjSurj
Invertible
Nat
NeZero
NonZeroDivisors
Opposite
Pi
Prod
Semiconj
Submonoid
ULift
WithZero
Lie
Basic
OfAssociative
Subalgebra
Submodule
Module
Equiv
Basic
Defs
Opposite
LinearMap
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
PUnit
Pi
Prod
Projective
Rat
RingHom
ULift
MonoidAlgebra
Basic
Defs
Degree
Division
MapDomain
NoZeroDivisors
Support
MvPolynomial
Basic
CommRing
Degrees
Derivation
Equiv
Eval
PDeriv
Rename
Supported
Variables
NoZeroSMulDivisors
Basic
Defs
Pi
Order
AbsoluteValue
Basic
Antidiag
Prod
Archimedean
Basic
BigOperators
Group
Finset
List
Multiset
Ring
Finset
List
Multiset
Expect
CauSeq
Basic
BigOperators
Completion
Field
Basic
Canonical
Defs
InjSurj
Pointwise
Power
Rat
Group
Pointwise
Bounds
Interval
Unbundled
Abs
Basic
Int
Abs
Action
Basic
Defs
DenselyOrdered
Finset
Indicator
InjSurj
Instances
Int
Lattice
MinMax
Multiset
Nat
OrderIso
PiLex
PosPart
Synonym
TypeTags
Units
GroupWithZero
Action
Synonym
Unbundled (
file
)
Lemmas
Canonical
Finset
Submonoid
Synonym
Hom
Basic
Monoid
Ring
Interval
Finset (
file
)
Basic
Set
Group
Instances
Monoid
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
Basic
Field
Floor
Lattice
Ring
Positive
Ring
Ring
Unbundled
Basic
Rat
Abs
Basic
Canonical
Cast
Defs
InjSurj
Int
Nat
Pow
Rat
Synonym
WithTop
Star
Basic
Sub
Unbundled
Basic
Basic
Defs
WithTop
AddGroupWithTop
Floor
Invertible
Kleene
Monovary
PartialSups
Pi
Round
SuccPred
ToIntervalMod
ZeroLEOne
PUnitInstances
Algebra
Module
Polynomial
Degree
Definitions
Domain
Lemmas
Monomial
Operations
SmallDegree
Support
TrailingDegree
Units
Eval
Algebra
Coeff
Defs
Degree
SMul
Subring
AlgebraMap
Basic
BigOperators
Coeff
Derivative
Div
EraseLead
FieldDivision
Inductions
Lifts
Monic
Monomial
Reverse
RingDivision
Roots
Splits
Prime
Defs
Lemmas
Regular
Basic
Pow
SMul
Ring
Action
Pointwise
Set
Basic
ConjAct
Group
Rat
Subobjects
Divisibility
Basic
Hom
Basic
Defs
Int
Defs
Parity
Units
Pointwise
Set
Subring
Basic
Defs
Units
Subsemiring
Basic
Defs
AddAut
Associated
Aut
Basic
Center
Centralizer
CharZero
Commute
CompTypeclasses
Defs
Equiv
Fin
Idempotent
InjSurj
Invertible
Nat
NegOnePow
NonZeroDivisors
Opposite
PUnit
Parity
Periodic
Pi
Prod
Rat
Regular
Semiconj
Submonoid
ULift
Units
Star
Basic
BigOperators
Center
Module
NonUnitalSubalgebra
Pi
Pointwise
Prod
Rat
SelfAdjoint
StarAlgHom
StarRingHom
Subalgebra
Unitary
ZeroOne
Lemmas
Prod
FreeAlgebra
GeomSum
IsPrimePow
ModEq
NeZero
Notation
Opposites
Periodic
QuadraticDiscriminant
Quotient
SMulWithZero
Analysis
Analytic
Basic
CPolynomial
CPolynomialDef
ChangeOrigin
Composition
Constructions
Inverse
Linear
OfScalars
Within
Asymptotics
AsymptoticEquivalent
Defs
Lemmas
TVS
Theta
CStarAlgebra
Basic
Classes
Calculus
BumpFunction
Basic
Convolution
FiniteDimension
InnerProduct
Normed
ContDiff
Basic
Defs
FTaylorSeries
FaaDiBruno
Operations
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
Convex
ReImTopology
RealDeriv
Convex
Cone
Basic
Extension
SpecificFunctions
Basic
Deriv
Basic
Between
Combination
Deriv
EGauge
Function
Gauge
Hull
Jensen
Mul
Normed
PartitionOfUnity
Segment
Slope
Star
Strict
Topology
Fourier
AddCircle
InnerProductSpace
Basic
Calculus
Continuous
Defs
EuclideanDist
GramSchmidtOrtho
LinearMap
Orientation
Orthogonal
Orthonormal
PiL2
Projection
Subspace
Symmetric
l2Space
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
Continuity
Hom
InfiniteSum
Int
Lemmas
Pointwise
Quotient
Rat
Seminorm
Subgroup
Submodule
Uniform
Lp
PiLp
WithLp
lpSpace
Module
Basic
Completion
Convex
Dual
FiniteDimension
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
Extend
FunctionSeries
HomeomorphBall
IndicatorFunction
Pointwise
RCLike
Real
RieszLemma
SphereNormEquiv
RCLike
Basic
Lemmas
SpecialFunctions
Complex
Arg
Circle
Log
LogDeriv
Gamma
Basic
Gaussian
GaussianIntegral
Log
Base
Basic
Deriv
NegMulLog
Pow
Asymptotics
Complex
Continuity
Deriv
Integral
NNReal
Real
Trigonometric
Angle
Arctan
ArctanDeriv
Basic
Bounds
Complex
ComplexDeriv
Deriv
Inverse
Bernstein
Exp
ExpDeriv
Exponential
ImproperIntegrals
Integrals
JapaneseBracket
NonIntegrable
PolarCoord
PolynomialExp
SmoothTransition
Sqrt
SpecificLimits
Basic
Normed
RCLike
Convolution
MeanInequalities
MeanInequalitiesPow
PSeries
Seminorm
SumIntegralComparisons
SumOverResidueClass
Combinatorics
Enumerative
Composition
DoubleCounting
Partition
Control
Monad
Basic
Traversable
Basic
Applicative
Basic
Bifunctor
Combinators
EquivFunctor
Functor
ULift
Data
Array
Defs
Bool
Basic
Set
Complex
Abs
Basic
BigOperators
Cardinality
Exponential
ExponentialBounds
FiniteDimensional
Module
Norm
Order
Trigonometric
Countable
Basic
Defs
Small
DFinsupp
BigOperators
Defs
Ext
Lex
Module
NeLocus
Order
Sigma
Submonoid
ENNReal
Action
Basic
Holder
Inv
Lemmas
Operations
Order
Real
ENat
Basic
Defs
Lattice
Fin
Tuple
Basic
Reflection
Basic
Rev
VecNotation
Finite
Card
Defs
Powerset
Prod
Set
Sigma
Sum
Finset
Lattice
Basic
Fold
Lemmas
Prod
Union
Attach
Attr
Basic
BooleanAlgebra
Card
Dedup
Defs
Density
Disjoint
Empty
Erase
Filter
Fin
Fold
Image
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
Ext
Fin
Fintype
Indicator
Lex
Multiset
Order
SMul
SMulWithZero
Single
ToDFinsupp
Fintype
Basic
BigOperators
Card
CardEmbedding
Defs
EquivFin
Fin
Inv
Lattice
List
OfMap
Option
Order
Perm
Pi
Pigeonhole
Powerset
Prod
Quotient
Sets
Sigma
Sort
Sum
Units
Vector
FunLike
Basic
Embedding
Equiv
Int
Cast
Basic
Defs
Field
Lemmas
Pi
Prod
Order
Basic
Lemmas
Units
Basic
Bitwise
CharZero
ConditionallyCompleteOrder
Defs
DivMod
GCD
Init
Interval
LeastGreatest
Lemmas
Log
ModEq
Notation
Sqrt
Star
SuccPred
List
Perm
Basic
Lattice
Subperm
Basic
Chain
Count
Cycle
Dedup
Defs
Duplicate
FinRange
Flatten
Forall2
GetD
Induction
Infix
InsertIdx
Iterate
Lattice
Lemmas
Lex
MinMax
Monad
NatAntidiagonal
Nodup
NodupEquivFin
OfFn
Pairwise
Palindrome
Permutation
Pi
Prime
ProdSigma
Range
Rotate
Scan
Sort
Sublists
TFAE
TakeDrop
TakeWhile
Zip
Matrix
Basic
Basis
Block
Composition
ConjTranspose
DMatrix
Defs
Diagonal
Invertible
Mul
Notation
RowCol
Multiset
AddSub
Antidiagonal
Basic
Bind
Count
Dedup
Defs
Filter
FinsetOps
Fold
Lattice
MapFold
NatAntidiagonal
Nodup
OrderedMonoid
Pi
Powerset
Range
Replicate
Sections
Sort
Sum
UnionInter
ZeroCons
NNRat
Defs
Lemmas
Order
NNReal
Basic
Defs
Star
Nat
Cast
Order
Basic
Field
Ring
Basic
Commute
Defs
Field
NeZero
Prod
WithTop
Choose
Basic
Bounds
Cast
Sum
Factorial
Basic
Cast
DoubleFactorial
Factorization
Basic
Defs
Induction
GCD
Basic
BigOperators
Order
Lemmas
Prime
Basic
Defs
Infinite
Basic
BinaryRec
Bits
Bitwise
Count
Defs
Digits
Factors
Find
Init
Lattice
Log
ModEq
Multiplicity
Notation
Pairing
Periodic
PrimeFin
Set
Size
Sqrt
SuccPred
Totient
WithBot
One
Defs
Option
Basic
Defs
NAry
Ordering
Basic
PNat
Basic
Defs
Equiv
Notation
Prod
Basic
Lex
PProd
TProd
Rat
Cast
CharZero
Defs
Lemmas
Order
BigOperators
Cardinal
Defs
Encodable
Floor
Init
Lemmas
Real
Archimedean
Basic
Cardinality
ConjExponents
ENatENNReal
EReal
Pointwise
Sqrt
Star
StarOrdered
Set
Finite
Basic
Lattice
Lemmas
Powerset
Range
Pairwise
Basic
Lattice
Pointwise
SMul
Support
Accumulate
Basic
BoolIndicator
Card
CoeSort
Constructions
Countable
Defs
Disjoint
Function
Functor
Image
Inclusion
Insert
Lattice
List
MemPartition
Monotone
NAry
Notation
Operations
Order
Prod
Semiring
Sigma
Subset
Subsingleton
SymmDiff
UnionLift
SetLike
Basic
Fintype
Setoid
Basic
Sigma
Basic
Lex
String
Defs
Sum
Basic
Order
Sym
Basic
Tree
Basic
Vector
Basic
Defs
W
Basic
Cardinal
ZMod
Basic
Defs
IntUnitsPower
Bracket
Ineq
Part
Quot
Rel
SProd
Sign
Subtype
ULift
Dynamics
Ergodic
MeasurePreserving
FixedPoints
Basic
PeriodicPts
Defs
Lemmas
Minimal
FieldTheory
Finiteness
GroupTheory
Commutator
Basic
Congruence
Basic
Defs
Hom
Coset
Basic
Card
Defs
GroupAction
DomAct
Basic
SubMulAction (
file
)
Pointwise
Basic
ConjAct
Defs
Hom
IterateAct
Pointwise
Quotient
Ring
MonoidLocalization
Basic
MonoidWithZero
OreLocalization
Basic
OreSet
Perm
Cycle
Basic
Factors
Type
Basic
Closure
Fin
Finite
List
Option
Sign
Support
QuotientGroup
Basic
Defs
Finite
Subgroup
Center
Centralizer
Submonoid
Center
Centralizer
Subsemigroup
Center
Centralizer
Archimedean
Divisible
Finiteness
Index
NoncommPiCoprod
OrderOfElement
Lean
Elab
Tactic
Basic
Term
Expr
Basic
ExtraRecognizers
Rat
ReplaceRec
Meta (
file
)
RefinedDiscrTree (
file
)
Basic
Encode
Lookup
Pi
Basic
CongrTheorems
Simp
PrettyPrinter
Delaborator
EnvExtension
Name
LinearAlgebra
AffineSpace
AffineSubspace (
file
)
Basic
Defs
AffineEquiv
AffineMap
Basic
Basis
Combination
Defs
FiniteDimensional
Independent
Midpoint
Ordered
Pointwise
Restrict
Slope
Alternating
Basic
Basis
Basic
Cardinality
Defs
VectorSpace
Dimension
Basic
Constructions
DivisionRing
ErdosKaplansky
Finite
Finrank
Free
FreeAndStrongRankCondition
LinearMap
RankNullity
StrongRankCondition
DirectSum
Finsupp
TensorProduct
FiniteDimensional (
file
)
Defs
Finsupp
Defs
LSum
LinearCombination
Pi
Span
SumProd
Supported
VectorSpace
FreeModule
Finite
Basic
Matrix
Basic
StrongRankCondition
LinearIndependent (
file
)
Basic
Defs
Lemmas
Matrix
Determinant
Basic
Adjugate
Basis
Block
Diagonal
MvPolynomial
NonsingularInverse
Polynomial
Reindex
SemiringInverse
StdBasis
ToLin
Trace
Transvection
Multilinear
Basic
Basis
Curry
Quotient
Basic
Defs
Span
Basic
Defs
TensorProduct
Associator
Basic
Basis
Tower
BilinearMap
DFinsupp
Determinant
Dual
GeneralLinearGroup
InvariantBasisNumber
Isomorphisms
LinearPMap
Orientation
Pi
Prod
Projection
Ray
SesquilinearForm
StdBasis
UnitaryGroup
Logic
Embedding
Basic
Set
Encodable
Basic
Lattice
Pi
Equiv
Basic
Defs
Embedding
Fin
Fintype
Functor
List
Nat
Option
PartialEquiv
Set
Function
Basic
CompTypeclasses
Conjugate
Defs
DependsOn
Iterate
ULift
Nontrivial
Basic
Defs
Small
Basic
Defs
List
Set
Basic
Denumerable
ExistsUnique
IsEmpty
Nonempty
OpClass
Pairwise
Relation
Relator
Unique
UnivLE
MeasureTheory
Constructions
BorelSpace
Basic
Complex
ContinuousLinearMap
Metric
Metrizable
Order
Real
Polish
Basic
HaarToSphere
Pi
Covering
Besicovitch
BesicovitchVectorSpace
Differentiation
Vitali
VitaliFamily
Decomposition
Exhaustion
Lebesgue
UnsignedHahn
Function
L1Space
AEEqFun
HasFiniteIntegral
Integrable
LpSeminorm
Basic
ChebyshevMarkov
CompareExp
TriangleInequality
LpSpace (
file
)
Basic
ContinuousFunctions
SpecialFunctions
Basic
StronglyMeasurable
AEStronglyMeasurable
Basic
ENNReal
Inner
Lemmas
AEEqFun
AEEqOfLIntegral
AEMeasurableOrder
AEMeasurableSequence
ContinuousMapDense
EssSup
Jacobian
L2Space
LocallyIntegrable
LpOrder
SimpleFunc
SimpleFuncDense
SimpleFuncDenseLp
Group
Action
Arithmetic
Defs
FundamentalDomain
Integral
LIntegral
MeasurableEquiv
Measure
Pointwise
Prod
Integral
Asymptotics
Average
Bochner
BochnerL1
DominatedConvergence
ExpDecay
FundThmCalculus
Gamma
IntegrableOn
IntegralEqImproper
IntervalIntegral
Layercake
Lebesgue
Marginal
MeanInequalities
Periodic
Pi
Prod
SetIntegral
SetToL1
VitaliCaratheodory
MeasurableSpace
Basic
CountablyGenerated
Defs
Embedding
EventuallyMeasurable
Instances
Pi
Prod
Measure
Haar
Basic
InnerProductSpace
NormedSpace
OfBasis
Quotient
Unique
Lebesgue
Basic
Complex
EqHaar
Integral
VolumeOfBalls
AEDisjoint
AEMeasurable
AbsolutelyContinuous
Comap
Content
Count
Dirac
Doubling
EverywherePos
GiryMonad
Map
MeasureSpace
MeasureSpaceDef
MutuallySingular
NullMeasurable
OpenPos
Prod
QuasiMeasurePreserving
Regular
Restrict
Stieltjes
Sub
Trim
Typeclasses
WithDensity
Order
Lattice
OuterMeasure
AE
Basic
BorelCantelli
Caratheodory
Defs
Induced
OfFunction
Operations
PiSystem
Topology
NumberTheory
Padics
PadicVal
Defs
Divisors
Order
Atoms (
file
)
Finite
BoundedOrder
Basic
Lattice
Monotone
Bounds
Basic
Defs
Image
OrderIso
CompactlyGenerated
Basic
Intervals
CompleteLattice (
file
)
Finset
ConditionallyCompleteLattice
Basic
Defs
Finset
Group
Indexed
Defs
LinearOrder
PartialOrder
Unbundled
Filter
AtTopBot (
file
)
Archimedean
Basic
BigOperators
CompleteLattice
CountablyGenerated
Defs
Disjoint
Field
Finite
Finset
Floor
Group
Map
ModEq
Monoid
Prod
Ring
Tendsto
Bases (
file
)
Basic
Finite
Germ
Basic
Ultrafilter
Basic
Defs
Basic
Cofinite
CountableInter
CountableSeparatingOn
CountablyGenerated
Curry
Defs
ENNReal
EventuallyConst
Extr
Finite
IndicatorFunction
Interval
Ker
Lift
Map
NAry
Pi
Pointwise
Prod
SmallSets
Subsingleton
Tendsto
Fin
Basic
GaloisConnection
Basic
Defs
Heyting
Basic
Hom
Basic
Bounded
CompleteLattice
Lattice
Order
Set
Interval
Finset
Basic
Defs
Fin
Nat
Set
Basic
Defs
Disjoint
Image
Infinite
Monotone
OrdConnected
OrdConnectedComponent
OrderEmbedding
OrderIso
Pi
ProjIcc
UnorderedInterval
WithBotTop
Multiset
Monotone
Basic
Defs
Monovary
Odd
Union
RelIso
Basic
Set
SuccPred
Archimedean
Basic
CompleteLinearOrder
InitialSeg
Limit
LinearLocallyFinite
Relation
UpperLower
Basic
Antichain
Antisymmetrization
Basic
BooleanAlgebra
Bounded
Chain
Circular
Closure
Compare
CompleteBooleanAlgebra
CompleteLatticeIntervals
CompletePartialOrder
Copy
Cover
Directed
Disjoint
Disjointed
FixedPoints
InitialSeg
Iterate
JordanHolder
KrullDimension
Lattice
LatticeIntervals
LiminfLimsup
Max
MinMax
Minimal
ModularLattice
Nat
Notation
OmegaCompletePartialOrder
OrderIsoNat
Part
PartialSups
PiLex
PropInstances
RelClasses
RelSeries
ScottContinuity
SetNotation
SupClosed
SupIndep
SymmDiff
Synonym
TypeTags
ULift
WellFounded
WellFoundedSet
WithBot
Zorn
ZornAtoms
Probability
ConditionalProbability
UniformOn
RingTheory
Adjoin
Basic
FG
Polynomial
Tower
Artinian
Module
Congruence
Basic
Defs
Coprime
Basic
Lemmas
Derivation
Basic
Finiteness
Basic
Cardinality
Defs
Finsupp
Projective
Ideal
MinimalPrime
Basic
Quotient
Basic
Defs
Operations
Basic
Colon
Defs
IsPrimary
Lattice
Maps
Maximal
Nonunits
Operations
Prime
Prod
Span
Jacobson
Radical
Semiprimary
LocalRing
Basic
Defs
Localization
Basic
Defs
FractionRing
MvPolynomial
Symmetric
Defs
Nilpotent
Defs
Lemmas
Noetherian
Basic
Defs
Orzech
UniqueFactorizationDomain
NonUnitalSubring
Basic
Defs
NonUnitalSubsemiring
Basic
Defs
OreLocalization
Basic
Ring
Polynomial
Basic
Bernstein
Pochhammer
Tower
Vieta
SimpleModule
Basic
SimpleRing
Basic
Defs
Spectrum
Maximal
Basic
Defs
Prime
Basic
Defs
TensorProduct
Basic
TwoSidedIdeal
Basic
Kernel
Lattice
UniqueFactorizationDomain
Basic
Defs
Ideal
NormalizedFactors
AlgebraTower
EuclideanDomain
FiniteType
IsPrimary
Multiplicity
OrzechProperty
PrincipalIdealDomain
SetTheory
Cardinal
Aleph
Arithmetic
Basic
Cofinality
Continuum
ENat
Finite
Finsupp
SchroederBernstein
Subfield
ToNat
UnivLE
Ordinal
Arithmetic
Basic
Enum
Exponential
FixedPoint
Principal
Tactic
Attr
Core
Register
Bound
Attribute
Init
CC (
file
)
Addition
Datatypes
Lemmas
MkProof
CancelDenoms
Core
Continuity (
file
)
Init
Finiteness (
file
)
Attr
FunProp (
file
)
Attr
Core
Decl
Elab
FunctionData
Mor
StateList
Theorems
ToBatteries
Types
GCongr (
file
)
Core
CoreAttrs
ForwardAttr
Linarith (
file
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Oracle
SimplexAlgorithm (
file
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Datatypes
Gauss
PositiveVector
SimplexAlgorithm
Datatypes
Frontend
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Parsing
Preprocessing
Verification
LinearCombination (
file
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Lemmas
Linter (
file
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DocPrime
FlexibleLinter
GlobalAttributeIn
HashCommandLinter
HaveLetLinter
Header
Lint
MinImports
Multigoal
OldObtain
PPRoundtrip
RefineLinter
Style
UnusedTactic
UnusedTacticExtension
UpstreamableDecl
Measurability (
file
)
Init
Monotonicity (
file
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Attr
Basic
Lemmas
Nontriviality (
file
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Core
NormNum (
file
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Basic
Core
DivMod
Eq
GCD
Ineq
Inv
OfScientific
Pow
Result
Positivity (
file
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Basic
Core
Finset
Relation
Rfl
Symm
Ring (
file
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Basic
Compare
PNat
RingNF
Simproc
ExistsAndEq
Simps
Basic
NotationClass
ToAdditive (
file
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Frontend
Widget
Calc
CongrM
Conv
SelectInsertParamsClass
SelectPanelUtils
Abel
AdaptationNote
Algebraize
ApplyAt
ApplyCongr
ApplyFun
ApplyWith
Basic
ByContra
Cases
CasesM
Check
Choose
ClearExcept
ClearExclamation
Clear_
Coe
Common
ComputeDegree
CongrExclamation
CongrM
Constructor
ContinuousFunctionalCalculus
Contrapose
Conv
Convert
Core
DeclarationNames
DefEqTransformations
DeprecateTo
DeriveFintype
Eqns
ErwQuestion
ExistsI
ExtendDoc
ExtractGoal
ExtractLets
FBinop
FailIfNoProgress
FastInstance
FieldSimp
FinCases
Find
GeneralizeProofs
Group
GuardGoalNums
GuardHypNums
HaveI
HigherOrder
Hint
InferParam
Inhabit
IntervalCases
IrreducibleDef
Lemma
Lift
MinImports
MkIffOfInductiveProp
Module
NoncommRing
NthRewrite
Observe
OfNat
PPWithUniv
Peel
ProjectionNotation
Propose
ProxyType
Push
PushNeg
Qify
RSuffices
Recover
Rename
RenameBVar
Rify
Says
ScopedNS
Set
SetLike
SimpIntro
SimpRw
SplitIfs
Spread
StacksAttribute
Subsingleton
Substs
SuccessIfFailWithMsg
SudoSetOption
SuppressCompilation
SwapVar
TFAE
Tauto
TermCongr
ToExpr
ToLevel
Trace
TryThis
TypeCheck
TypeStar
UnsetOption
Use
Variable
WLOG
Zify
Topology
Algebra
Group
Basic
Compact
Quotient
InfiniteSum
Basic
Constructions
Defs
ENNReal
Field
Group
Module
NatInt
Order
Real
Ring
Module
Multilinear
Basic
Bounded
Topology
Basic
Determinant
Equiv
FiniteDimension
LinearMap
LinearMapPiProd
LocallyConvex
Simple
Star
StrongTopology
UniformConvergence
WeakBilin
Order
Archimedean
Field
Floor
Group
LiminfLimsup
Ring
Basic
Ideal
Real
SeparationQuotient
Basic
Section
Star (
file
)
Real
UniformGroup
Basic
Defs
Affine
Algebra
ConstMulAction
Constructions
ContinuousMonoidHom
Equicontinuity
Field
FilterBasis
GroupCompletion
GroupWithZero
Indicator
Monoid
MulAction
Polynomial
StarSubalgebra
Support
UniformConvergence
UniformField
UniformMulAction
UniformRing
Baire
CompleteMetrizable
Lemmas
Bornology
Absorbs
Basic
BoundedOperation
Constructions
Hom
Compactness
Compact
Lindelof
LocallyCompact
Paracompact
SigmaCompact
Connected
Basic
Clopen
LocPathConnected
LocallyConnected
PathConnected
TotallyDisconnected
ContinuousMap
Bounded
Basic
Star
Algebra
Basic
CocompactMap
Compact
ContinuousMapZero
Defs
Lattice
Ordered
Polynomial
Star
StoneWeierstrass
Weierstrass
Defs
Basic
Filter
Induced
Sequences
Ultrafilter
EMetricSpace
Basic
Defs
Diam
Lipschitz
Paracompact
Pi
FiberBundle
IsHomeomorphicTrivialBundle
GDelta
Basic
UniformSpace
Hom
ContinuousEval
ContinuousEvalConst
Instances
ENNReal
Defs
Lemmas
EReal
Defs
Lemmas
NNReal
Defs
Lemmas
Real
Defs
Lemmas
AddCircle
Discrete
Int
Matrix
Nat
Rat
RealVectorSpace
Sign
ZMultiples
LocallyConstant
Basic
Maps
Proper
Basic
Basic
OpenQuotient
MetricSpace
ProperSpace (
file
)
Lemmas
Real
Pseudo
Basic
Constructions
Defs
Lemmas
Pi
Real
Algebra
Antilipschitz
Basic
Bounded
CantorScheme
CauSeqFilter
Cauchy
Completion
Defs
Dilation
DilationEquiv
Equicontinuity
Gluing
HausdorffDistance
Holder
IsometricSMul
Isometry
Lipschitz
Perfect
PiNat
Polish
ThickenedIndicator
Thickening
Metrizable
Basic
Real
Uniformity
Urysohn
Order (
file
)
Basic
Bornology
Compact
DenselyOrdered
ExtendFrom
IntermediateValue
IsLUB
Lattice
LeftRight
LeftRightLim
LeftRightNhds
LocalExtr
Monotone
MonotoneContinuity
MonotoneConvergence
OrderClosed
ProjIcc
Real
Rolle
T5
Separation
Basic
CountableSeparatingOn
Hausdorff
Regular
SeparatedNhds
Sets
Closeds
Compacts
Opens
UniformSpace
AbstractCompletion
Basic
Cauchy
Compact
CompactConvergence
CompleteSeparated
Completion
Defs
Equicontinuity
Equiv
HeineCantor
OfFun
Pi
Real
Separation
UniformConvergence
UniformConvergenceTopology
UniformEmbedding
Bases
Basic
Clopen
CompactOpen
Constructions
ContinuousOn
DenseEmbedding
DiscreteSubset
ExtendFrom
Filter
Homeomorph
IndicatorConstPointwise
Inseparable
Irreducible
IsLocalHomeomorph
LocallyFinite
NhdsSet
NoetherianSpace
PartialHomeomorph
PartitionOfUnity
Path
Perfect
QuasiSeparated
RestrictGen
Semicontinuous
SeparatedMap
Sequences
ShrinkingLemma
Ultrafilter
UnitInterval
UrysohnsLemma
Util
AssertExists
AssertExistsExt
AtomM
CompileInductive
CountHeartbeats
Delaborators
DischargerAsTactic
MemoFix
Notation3
PPOptions
Qq
Superscript
SynthesizeUsing
Tactic
TermReduce
TransImports
WhatsNew
WithWeakNamespace
Init
Plausible (
file
)
Attr
Functions
Gen
Random
Sampleable
Tactic
Testable
ProofWidgets
Component
Basic
MakeEditLink
OfRpcMethod
Data
Html
Cancellable
Compat
Util
Qq (
file
)
ForLean
Do
ReduceEval
ToExpr
AssertInstancesCommute
Delab
Macro
Match
MetaM
Simp
SortLocalDecls
Typ
Std (
file
)
Classes
Ord
Data (
file
)
DHashMap (
file
)
Internal
AssocList
Basic
Lemmas
List
Associative
Defs
HashesTo
Defs
HashesTo
Index
Model
Raw
RawLemmas
WF
AdditionalOperations
Basic
Lemmas
Raw
RawDef
RawLemmas
DTreeMap (
file
)
Internal
WF
Defs
Lemmas
Balanced
Balancing
Cell
Def
Model
Operations
Ordered
Queries
Raw
Basic
AdditionalOperations
Basic
HashMap (
file
)
AdditionalOperations
Basic
Lemmas
Raw
RawLemmas
HashSet (
file
)
Basic
Lemmas
Raw
RawLemmas
Internal
List
Associative
Defs
Cut
TreeMap (
file
)
Raw
Basic
AdditionalOperations
Basic
TreeSet (
file
)
Raw
Basic
AdditionalOperations
Basic
Internal (
file
)
Async (
file
)
Basic
Timer
Parsec (
file
)
Basic
ByteArray
String
UV (
file
)
Loop
Timer
Rat
Net (
file
)
Addr
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
Sync (
file
)
Channel
Mutex
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
Time (
file
)
Date (
file
)
Unit
Basic
Day
Month
Week
Weekday
Year
Basic
PlainDate
ValidDate
DateTime (
file
)
PlainDateTime
Timestamp
Format (
file
)
Basic
Internal (
file
)
Bounded
UnitVal
Notation (
file
)
Spec
Time (
file
)
Unit
Basic
Hour
Millisecond
Minute
Nanosecond
Second
Basic
HourMarker
PlainTime
Zoned (
file
)
Database (
file
)
Basic
TZdb
TzIf
Windows
DateTime
Offset
TimeZone
ZoneRules
ZonedDateTime
Duration
references (
file
)
Color scheme
dark
system
light