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
Match
Merge
BinomialHeap
Basic
List
Init
Lemmas
Basic
Count
Lemmas
Pairwise
Perm
MLList
Basic
Heartbeats
Nat
Basic
Gcd
RBMap
Alter
Basic
WF
Rat
Basic
Lemmas
String
Basic
Matcher
NameSet
Lean
Meta
Basic
DiscrTree
Expr
Inaccessible
InstantiateMVars
SavedState
UnusedNames
AttributeExtra
Except
Expr
HashMap
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
Lemma
OpenPrivate
PermuteGoals
SeqFocus
Trans
Unreachable
Util
Cache
ExtendedBinder
LibraryNote
ProofWanted
Logic
WF
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
FinRange
Find
GetLit
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
Basic
Cooper
DivMod
DivModLemmas
Gcd
Lemmas
LemmasAux
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
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
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
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
Actions
Basic
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
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
)
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
GuessLex
Ite
Main
PackMutual
Preprocess
Rel
Basic
EqUnfold
Eqns
Main
MkInhabitant
Mutual
TerminationArgument
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
IntToBitVec
Rewrite
Simproc
Structures
Attr
BVCheck
BVTrace
LRAT
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
Grind
Guard
Induction
Injection
LibrarySearch
Location
Match
Meta
Monotonicity
NormCast
RCases
Repeat
Rewrite
Rewrites
Rfl
ShowTerm
Simp
SimpTrace
Simpa
Simproc
SolveByElim
Split
Symm
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
InheritDoc
LetRec
Level
Macro
MacroArgUtil
MacroRules
Match
MatchAltView
MatchExpr
Mixfix
MutualDef
MutualInductive
Notation
Open
ParseImportsFast
PatternVar
Print
RecAppSyntax
SetOption
StructInst
Structure
Syntax
SyntheticMVars
Term
Time
Util
Language
Lean (
file
)
Types
Basic
Util
Linter (
file
)
Basic
Builtin
ConstructorAsVariable
Deprecated
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
)
Internalize
Inv
Main
Model
Offset
ProofUtil
Types
Util
Attr
Beta
Canon
Cases
CasesMatch
Combinators
Core
Ctor
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
)
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
Ext
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
Sorry
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
Completion (
file
)
CompletionCollectors
CompletionInfoSelection
CompletionItemData
CompletionResolution
CompletionUtils
EligibleHeaderDecls
ImportCompletion
SyntheticCompletion
FileWorker (
file
)
RequestHandling
SetupFile
Utils
WidgetRequests
Rpc (
file
)
Basic
Deriving
RequestHandling
AsyncList
FileSource
GoTo
InfoUtils
References
Requests
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
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
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
Directed
Operations
Pointwise
Prod
Tower
Basic
Bilinear
Defs
Equiv
Field
Hom
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Rat
RestrictScalars
Spectrum
Tower
ZMod
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
Category
Grp
Abelian
Basic
Colimits
EpiMono
EquivalenceGroupAddGroup
ForgetCorepresentable
Kernels
Limits
Preadditive
ZModuleEquivalence
ModuleCat
Abelian
Basic
Biproducts
Colimits
EpiMono
Kernels
Limits
MonCat
Basic
ForgetCorepresentable
Limits
CharP
Algebra
Basic
CharAndCard
Defs
Invertible
Lemmas
Reduced
Two
CharZero
Defs
Infinite
Lemmas
Quotient
Colimit
DirectLimit
Module
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
ZMod
FreeMonoid
Basic
GCDMonoid
Basic
Finset
IntegrallyClosed
Multiset
Nat
Group
Action
Basic
Defs
End
Faithful
Hom
Opposite
Pi
Pretransitive
Prod
TypeTags
Units
Commute
Basic
Defs
Hom
Units
Equiv
Basic
Defs
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
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
ConjFinite
Defs
Embedding
End
Even
EvenFunction
Ext
FiniteSupport
Graph
Idempotent
Indicator
InjSurj
NatPowAssoc
Operations
Opposite
PUnit
Prod
Support
ULift
GroupPower
IterateHom
GroupWithZero
Action
Basic
Defs
End
Opposite
Pi
Prod
Units
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
Homology
ShortComplex
Ab
Abelian
Basic
ConcreteCategory
Exact
ExactFunctor
Homology
LeftHomology
Limits
ModuleCat
PreservesHomology
QuasiIso
RightHomology
ShortExact
SnakeLemma
ExactSequence
ImageToKernel
Module
Equiv
Basic
Defs
Opposite
LinearMap
Defs
End
Prod
Star
LocalizedModule
Basic
IsLocalization
Submodule
Basic
Bilinear
Defs
EqLocus
Equiv
IterateMapComap
Ker
Lattice
LinearMap
Map
Pointwise
Range
RestrictScalars
Basic
BigOperators
Card
DedekindDomain
Defs
End
Hom
MinimalAxioms
NatInt
Opposite
PID
PUnit
Pi
Prod
Projective
Rat
RingHom
Torsion
ULift
ZMod
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
Pi
Prod
Archimedean
Basic
BigOperators
Group
Finset
List
Multiset
Ring
Finset
List
Multiset
Expect
CauSeq
Basic
BigOperators
Completion
Field
Basic
Canonical
Defs
InjSurj
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
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WithBotTop
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