General documentation
index
foundational types
Library
Aesop (
file
)
Builder
Apply
Basic
Cases
Constructors
Default
Forward
NormSimp
Tactic
Unfold
BuiltinRules (
file
)
ApplyHyps
Assumption
DestructProducts
Ext
Intros
Rfl
Split
Subst
Frontend
Extension (
file
)
Init
Attribute
Basic
Command
RuleExpr
Saturate
Tactic
Index (
file
)
Basic
Options (
file
)
Internal
Public
Rule (
file
)
Basic
Name
RuleSet (
file
)
Filter
Member
Name
RuleTac (
file
)
Forward (
file
)
Basic
Apply
Basic
Cases
ElabRuleTerm
FVarIdSubst
GoalDiff
Preprocess
Tactic
Script
Check
CtorNames
GoalWithMVars
Main
OptimizeSyntax
SScript
ScriptM
SpecificTactics
Step
StructureDynamic
StructureStatic
Tactic
TacticState
UScript
UScriptToSScript
Util
Search
Expansion (
file
)
Basic
Norm
Simp
Queue (
file
)
Class
ExpandSafePrefix
Main
RuleSelection
SearchM
Stats
Basic
Extension
Report
Tree (
file
)
AddRapp
Check
Data
ExtractProof
ExtractScript
Free
RunMetaM
State
Tracing
Traversal
TreeM
UnsafeQueue
Util
Tactic (
file
)
Ext
Unfold
Basic
EqualUpToIds
UnionFind
UnorderedArraySet
Check
Constants
ElabM
Exception
Main
Nanos
Percent
RulePattern
Saturate
Tracing
Batteries
Classes
Order
RatCast
CodeAction (
file
)
Attr
Basic
Deprecated
Misc
Control
ForInStep
Basic
Lemmas
Nondet
Basic
Data
Array
Init
Lemmas
Basic
Merge
BinomialHeap
Basic
Fin
Basic
Lemmas
List
Init
Lemmas
Basic
Count
Lemmas
OfFn
Pairwise
Perm
MLList
Basic
Nat
Basic
Gcd
RBMap
Alter
Basic
WF
Rat
Basic
Lemmas
String
Basic
Lean
Meta
Basic
DiscrTree
Expr
Inaccessible
InstantiateMVars
SavedState
UnusedNames
AttributeExtra
Except
Expr
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
Carmojones (
file
)
Basic
Canonical
Finset
ImportGraph
Imports
RequiredModules
Init (
file
)
Control (
file
)
Lawful (
file
)
Basic
Instances
Basic
EState
Except
ExceptCps
Id
Option
Reader
State
StateCps
StateRef
Data (
file
)
Array (
file
)
Subarray (
file
)
Split
Attach
Basic
BasicAux
BinSearch
Bootstrap
DecidableEq
GetLit
InsertionSort
Lemmas
MapIdx
Mem
QSort
TakeDrop
BitVec (
file
)
Basic
BasicAux
Bitblast
Folds
Lemmas
ByteArray (
file
)
Basic
Char (
file
)
Basic
Lemmas
Fin (
file
)
Basic
Bitwise
Fold
Iterate
Lemmas
Log2
FloatArray (
file
)
Basic
Format (
file
)
Basic
Instances
Macro
Syntax
Int (
file
)
Bitwise (
file
)
Lemmas
Basic
DivMod
DivModLemmas
Gcd
Lemmas
LemmasAux
Order
Pow
List (
file
)
Nat (
file
)
BEq
Basic
Count
Erase
Find
Modify
Pairwise
Range
Sublist
TakeDrop
Sort (
file
)
Basic
Impl
Lemmas
Attach
Basic
BasicAux
Control
Count
Erase
Find
Impl
Lemmas
MapIdx
MinMax
Monadic
Notation
Pairwise
Perm
Range
Sublist
TakeDrop
ToArray
Zip
Nat (
file
)
Bitwise (
file
)
Basic
Lemmas
Basic
Compare
Control
Div
Dvd
Gcd
Lcm
Lemmas
Linear
Log2
MinMax
Mod
Power2
SOM
Simproc
Option (
file
)
Attach
Basic
BasicAux
Instances
Lemmas
List
SInt (
file
)
Basic
String (
file
)
Basic
Extra
Lemmas
Sum (
file
)
Basic
Lemmas
ToString (
file
)
Basic
Macro
UInt (
file
)
Basic
BasicAux
Bitwise
Lemmas
Log2
AC
BEq
Basic
Bool
Cast
Channel
Float
Function
Hashable
NeZero
OfScientific
Ord
PLift
Prod
Queue
Random
Range
Repr
Stream
Subtype
ULift
Zero
Grind (
file
)
Cases
Lemmas
Norm
Tactics
Omega (
file
)
Coeffs
Constraint
Int
IntList
LinearCombo
Logic
System (
file
)
FilePath
IO
IOError
Mutex
Platform
Promise
ST
Uri
BinderPredicates
ByCases
Classical
Coe
Conv
Core
Dynamic
Ext
GetElem
Guard
Hints
MacroTrace
Meta
MetaTypes
Notation
NotationExtra
Prelude
PropLemmas
RCases
ShareCommon
SimpLemmas
Simproc
SizeOf
SizeOfLemmas
Tactics
TacticsExtra
Util
WF
WFTactics
While
Lake (
file
)
Build (
file
)
Actions
Basic
Common
Data
Executable
Facets
Fetch
Imports
Index
Info
Job
Key
Library
Module
Package
Run
Store
Targets
Topological
Trace
CLI
Actions
Build
Error
Config (
file
)
Context
Defaults
Dependency
Env
ExternLib
ExternLibConfig
FacetConfig
Glob
InstallPath
LeanConfig
LeanExe
LeanExeConfig
LeanLib
LeanLibConfig
Module
Monad
Opaque
Package
Script
TargetConfig
Workspace
WorkspaceConfig
DSL (
file
)
Attributes
AttributesCore
Config
DeclUtil
Extensions
Meta
Package
Require
Script
Targets
Load
Config
Toml (
file
)
Data
DateTime
Dict
Value
Elab (
file
)
Expression
Value
Grammar
Load
ParserUtil
Util
Binder
Casing
Compare
Cycle
DRBMap
EStateT
EquipT
Error
Exit
Family
FilePath
Git
IO
JsonObject
Lift
List
Lock
Log
Message
Name
NativeLib
Opaque
OrdHashSet
OrderedTagAttribute
Proc
RBArray
Store
StoreInsts
Sugar
Task
Version
Reservoir
Version
Lean (
file
)
Compiler (
file
)
IR (
file
)
Basic
Borrow
Boxing
Checker
CompilerM
CtorLayout
ElimDeadBranches
ElimDeadVars
EmitC
EmitUtil
ExpandResetReuse
Format
FreeVars
LiveVars
NormIds
PushProj
RC
ResetReuse
SimpCase
Sorry
UnboxResult
LCNF (
file
)
Simp (
file
)
Basic
Config
ConstantFold
DefaultAlt
DiscrM
FunDeclInfo
InlineCandidate
InlineProj
JpCases
Main
SimpM
SimpValue
Used
AlphaEqv
AuxDeclCache
BaseTypes
Basic
Bind
CSE
Check
Closure
CompatibleTypes
CompilerM
ConfigOptions
DeclHash
DependsOn
ElimDead
ElimDeadBranches
FVarUtil
FixedParams
FloatLetIn
ForEachExpr
InferType
Internalize
JoinPoints
LCtx
LambdaLifting
Level
Main
MonadScope
MonoTypes
OtherDecl
PassManager
Passes
PhaseExt
PrettyPrinter
PullFunDecls
PullLetDecls
ReduceArity
ReduceJpArity
Renaming
ScopeM
SpecInfo
Specialize
Testing
ToDecl
ToExpr
ToLCNF
ToMono
Types
Util
AtMostOnce
BorrowedAnnotation
CSimpAttr
ClosedTermCache
ConstFolding
ExportAttr
ExternAttr
FFI
ImplementedByAttr
InitAttr
InlineAttrs
Main
NameMangling
NeverExtractAttr
NoncomputableAttr
Old
Options
Specialize
Data (
file
)
Json (
file
)
Basic
Elab
FromToJson
Parser
Printer
Stream
Lsp (
file
)
Basic
Capabilities
Client
CodeActions
Communication
Diagnostics
Extra
InitShutdown
Internal
Ipc
LanguageFeatures
TextSync
Utf16
Workspace
Xml (
file
)
Basic
Parser
Array
AssocList
Format
FuzzyMatching
HashMap
HashSet
JsonRpc
KVMap
LBool
LOption
Name
NameMap
NameTrie
OpenDecl
Options
PersistentArray
PersistentHashMap
PersistentHashSet
Position
PrefixTree
RBMap
RBTree
Rat
SMap
SSet
Trie
DocString (
file
)
Extension
Elab (
file
)
Deriving (
file
)
BEq
Basic
DecEq
FromToJson
Hashable
Inhabited
Nonempty
Ord
Repr
SizeOf
TypeName
Util
InfoTree (
file
)
Main
Types
PreDefinition (
file
)
Nonrec
Eqns
Structural (
file
)
BRecOn
Basic
Eqns
FindRecArg
IndGroupInfo
IndPred
Main
Preprocess
RecArgInfo
SmartUnfolding
WF (
file
)
Basic
Eqns
Fix
GuessLex
Ite
Main
PackMutual
Preprocess
Rel
Basic
EqUnfold
Eqns
Main
MkInhabitant
TerminationArgument
TerminationHint
Quotation (
file
)
Precheck
Util
Tactic (
file
)
BVDecide (
file
)
Frontend (
file
)
BVDecide (
file
)
Reflect
ReifiedBVExpr
ReifiedBVLogical
ReifiedBVPred
ReifiedLemmas
Reify
SatAtBVLogical
Attr
BVCheck
BVTrace
LRAT
Normalize
LRAT (
file
)
Trim
External
Conv (
file
)
Basic
Change
Congr
Delta
Pattern
Rewrite
Simp
Unfold
Omega (
file
)
Core
Frontend
MinNatAbs
OmegaM
Basic
BoolToPropSimps
BuiltinTactic
Cache
Calc
Change
Classical
Config
Congr
Delta
DiscrTreeKey
Doc
ElabTerm
Ext
FalseOrByContra
Generalize
Guard
Induction
Injection
LibrarySearch
Location
Match
Meta
NormCast
RCases
Repeat
Rewrite
Rewrites
Rfl
ShowTerm
Simp
SimpTrace
Simpa
Simproc
SolveByElim
Split
Symm
Unfold
App
Arg
Attributes
AutoBound
AuxDef
BinderPredicates
Binders
BindersUtil
BuiltinCommand
BuiltinEvalCommand
BuiltinNotation
BuiltinTerm
Calc
CheckTactic
Command
ComputedFields
Config
DeclModifiers
DeclNameGen
DeclUtil
Declaration
DeclarationRange
DefView
Do
ElabRules
Eval
Exception
Extra
Frontend
GenInjective
GuardMsgs
Import
Inductive
InheritDoc
LetRec
Level
Macro
MacroArgUtil
MacroRules
Match
MatchAltView
MatchExpr
Mixfix
MutualDef
Notation
Open
ParseImportsFast
PatternVar
Print
RecAppSyntax
SetOption
StructInst
Structure
Syntax
SyntheticMVars
Term
Time
Util
Language
Lean (
file
)
Types
Basic
Linter (
file
)
Basic
Builtin
ConstructorAsVariable
Deprecated
MissingDocs
Omit
UnusedVariables
Util
Meta (
file
)
ArgsPacker (
file
)
Basic
Constructions (
file
)
BRecOn
CasesOn
NoConfusion
RecOn
Match (
file
)
MatcherApp
Basic
Transform
Basic
CaseArraySizes
CaseValues
Match
MatchEqs
MatchEqsExt
MatchPatternAttr
MatcherInfo
Value
Tactic (
file
)
AC (
file
)
Main
Grind (
file
)
Attr
Cases
Core
Injection
Preprocessor
RevertAll
Types
Util
LinearArith (
file
)
Nat (
file
)
Basic
Simp
Solver
Basic
Main
Simp
Solver
Simp (
file
)
BuiltinSimprocs (
file
)
Array
BitVec
Char
Core
Fin
Int
List
Nat
String
UInt
Util
Attr
Diagnostics
Main
RegisterCommand
Rewrite
SimpAll
SimpCongrTheorems
SimpTheorems
Simproc
Types
Acyclic
Apply
Assert
Assumption
AuxLemma
Backtrack
Cases
Cleanup
Clear
Congr
Constructor
Contradiction
Delta
ElimInfo
FVarSubst
FunInd
Generalize
IndependentOf
Induction
Injection
Intro
LibrarySearch
NormCast
Refl
Rename
Repeat
Replace
Revert
Rewrite
Rewrites
Rfl
SolveByElim
Split
SplitIf
Subst
Symm
TryThis
Unfold
UnifyEq
Util
ACLt
AbstractMVars
AbstractNestedProofs
AppBuilder
Basic
Canonicalizer
Check
CheckTactic
Closure
Coe
CoeAttr
CollectFVars
CollectMVars
CompletionName
CongrTheorems
CtorRecognizer
DecLevel
Diagnostics
DiscrTree
DiscrTreeTypes
Eqns
Eval
ExprDefEq
ExprLens
ExprTraverse
ForEachExpr
FunInfo
GeneralizeTelescope
GeneralizeVars
GetUnfoldableConst
GlobalInstances
IndPredBelow
Inductive
InferType
Injective
Instances
Iterator
KAbstract
KExprMap
LazyDiscrTree
LevelDefEq
LitValues
MatchUtil
NatInstTesters
Offset
PPGoal
PProdN
RecursorInfo
Reduce
ReduceEval
SizeOf
Structure
SynthInstance
Transform
TransparencyMode
UnificationHint
WHNF
Parser (
file
)
Tactic (
file
)
Doc
Attr
Basic
Command
Do
Extension
Extra
Level
Module
StrInterpolation
Syntax
Term
Types
ParserCompiler (
file
)
Attribute
PrettyPrinter (
file
)
Delaborator (
file
)
Attributes
Basic
Builtins
FieldNotation
Options
SubExpr
TopDownAnalyze
Basic
Formatter
Parenthesizer
Server (
file
)
CodeActions (
file
)
Attr
Basic
Provider
FileWorker (
file
)
RequestHandling
SetupFile
Utils
WidgetRequests
Rpc (
file
)
Basic
Deriving
RequestHandling
AsyncList
Completion
CompletionItemData
FileSource
GoTo
ImportCompletion
InfoUtils
References
Requests
Snapshots
Utils
Watchdog
Util (
file
)
CollectAxioms
CollectFVars
CollectLevelMVars
CollectLevelParams
CollectMVars
Diff
FileSetupInfo
FindExpr
FindLevelMVar
FindMVar
FoldConsts
ForEachExpr
ForEachExprWhere
HasConstCache
Heartbeats
InstantiateLevelParams
LakePath
LeanOptions
MonadBacktrack
MonadCache
NumApps
NumObjs
OccursCheck
PPExt
Path
Paths
Profile
Profiler
PtrSet
RecDepth
Recognizers
ReplaceExpr
ReplaceLevel
SCC
SafeExponentiation
SearchPath
ShareCommon
Sorry
TestExtern
Trace
Widget (
file
)
Basic
Diff
InteractiveCode
InteractiveDiagnostic
InteractiveGoal
TaggedText
Types
UserWidget
AddDecl
Attributes
AuxRecursor
BuiltinDocAttr
Class
CoreM
Declaration
DeclarationRange
Environment
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
Basic
Bilinear
Defs
Equiv
Hom
NonUnitalHom
Operations
Opposite
Prod
Tower
Associated
Basic
BigOperators
Group
Finset
List
Multiset
GroupWithZero
Action
Finset
Ring (
file
)
List
Multiset
Fin
Finprod
Finsupp
Intervals
NatAntidiagonal
Option
Pi
CharZero
Defs
Lemmas
Divisibility
Basic
Units
EuclideanDomain
Basic
Defs
Field
Int
Field
Basic
Defs
IsField
Rat
FreeMonoid
Basic
GCDMonoid
Basic
Nat
Group
Action
Basic
Defs
End
Faithful
Opposite
Pi
Pretransitive
Prod
TypeTags
Units
Commute
Basic
Defs
Hom
Units
Equiv
Basic
Fin
Basic
Tuple
Hom
Basic
CompTypeclasses
Defs
End
Instances
Invertible
Basic
Defs
Nat
Basic
Even
Units
Pi
Basic
Lemmas
Pointwise
Finset
Basic
Set
Basic
Semiconj
Basic
Defs
Units
Subgroup
ZPowers
Basic
Basic
Defs
Ker
Lattice
Map
MulOpposite
MulOppositeLemmas
Pointwise
Submonoid
Basic
Defs
DistribMulAction
Membership
MulOpposite
Operations
Pointwise
Subsemigroup
Basic
Defs
Membership
Operations
TypeTags
Basic
Hom
Units
Basic
Defs
Equiv
Hom
WithOne
Defs
Aut
Basic
Center
Conj
Defs
Embedding
Even
FiniteSupport
Indicator
InjSurj
Int
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
InjSurj
Invertible
NeZero
NonZeroDivisors
Opposite
Pi
Prod
Semiconj
ULift
WithZero
Module
Equiv
Basic
Defs
Opposite
LinearMap
Defs
End
Submodule
Basic
Bilinear
Defs
EqLocus
Equiv
Ker
Lattice
LinearMap
Map
Pointwise
Range
RestrictScalars
Basic
BigOperators
Defs
End
Hom
NatInt
Opposite
Pi
Prod
RingHom
ULift
NoZeroSMulDivisors
Basic
Defs
Order
Antidiag
Prod
BigOperators
Group
Finset
List
Multiset
Field
Canonical
Defs
Defs
InjSurj
Rat
Group
Unbundled
Abs
Basic
Int
Abs
Action
Defs
InjSurj
Instances
Lattice
Nat
OrderIso
PosPart
Synonym
GroupWithZero
Unbundled (
file
)
Lemmas
Canonical
Synonym
Hom
Monoid
Ring
Interval
Set
Monoid
Finset
Monoid
Canonical
Defs
Unbundled
Basic
Defs
ExistsOfLE
MinMax
OrderDual
Pow
TypeTags
WithTop
Basic
Defs
NatCast
OrderDual
TypeTags
Units
WithTop
Nonneg
Field
Ring
Positive
Ring
Ring
Unbundled
Basic
Nonneg
Rat
Basic
Canonical
Cast
Defs
InjSurj
Int
Nat
Rat
WithTop
Sub
Unbundled
Basic
Basic
Defs
WithTop
AddGroupWithTop
Invertible
Kleene
SuccPred
ZeroLEOne
PUnitInstances
Algebra
Module
Prime
Defs
Lemmas
Regular
Basic
SMul
Ring
Action
Basic
Group
Subobjects
Divisibility
Basic
Hom
Basic
Defs
Int
Defs
Parity
Units
Subring
Basic
Defs
Subsemiring
Basic
Defs
Basic
Center
Centralizer
Commute
CompTypeclasses
Defs
Equiv
Idempotents
InjSurj
Invertible
Nat
Opposite
Parity
Pi
Prod
Rat
Regular
Semiconj
ULift
Units
NeZero
Notation
Opposites
Quotient
SMulWithZero
Control
Monad
Basic
Traversable
Basic
Applicative
Basic
Combinators
EquivFunctor
Functor
ULift
Data
Array
Defs
Bool
Basic
Set
Countable
Basic
Defs
DFinsupp
BigOperators
Defs
Ext
Module
Submonoid
ENat
Basic
Lattice
Fin
Tuple
Basic
Basic
VecNotation
Finite
Defs
Powerset
Prod
Set
Sigma
Finset
Lattice
Basic
Fold
Lemmas
Attach
Attr
Basic
Card
Dedup
Defs
Density
Disjoint
Empty
Erase
Filter
Fold
Image
Insert
Max
NAry
NatAntidiagonal
NoncommProd
Option
Order
Pairwise
Pi
Piecewise
Powerset
Preimage
Prod
Range
SDiff
Sigma
Sort
Sum
SymmDiff
Union
Finsupp
Basic
Defs
Fin
Indicator
ToDFinsupp
Fintype
Basic
BigOperators
Card
Fin
Lattice
Option
Pi
Powerset
Prod
Sigma
Sum
Vector
FunLike
Basic
Embedding
Equiv
Int
Cast
Basic
Defs
Field
Lemmas
Prod
Order
Basic
CharZero
Defs
DivMod
GCD
Notation
Sqrt
List
Perm
Basic
Lattice
Subperm
Basic
Chain
Dedup
Defs
Duplicate
FinRange
Flatten
Forall2
Infix
InsertIdx
Lattice
Lex
MinMax
Monad
NatAntidiagonal
Nodup
NodupEquivFin
OfFn
Pairwise
ProdSigma
Range
Rotate
Sort
Sublists
TFAE
Zip
Multiset
Antidiagonal
Basic
Bind
Dedup
FinsetOps
Fold
Lattice
NatAntidiagonal
Nodup
OrderedMonoid
Pi
Powerset
Range
Sections
Sort
Sum
NNRat
Defs
Order
Nat
Cast
Order
Basic
Ring
Basic
Commute
Defs
Field
NeZero
Prod
Choose
Basic
Sum
Factorial
Basic
GCD
Basic
Order
Lemmas
Prime
Basic
Defs
Int
BinaryRec
Bits
Defs
Find
Lattice
ModEq
Notation
Pairing
PartENat
Set
Sqrt
SuccPred
Option
Basic
Defs
NAry
Ordering
Basic
PNat
Basic
Defs
Equiv
Prod
Basic
Lex
PProd
Rat
Cast
CharZero
Defs
Lemmas
Order
BigOperators
Defs
Init
Lemmas
Set
Finite
Basic
Lattice
Lemmas
Powerset
Range
Pairwise
Basic
Pointwise
BigOperators
Finite
ListOfFn
SMul
Basic
Countable
Defs
Function
Image
Lattice
List
Monotone
NAry
Notation
Operations
Prod
Semiring
Sigma
Subsingleton
SymmDiff
SetLike
Basic
Setoid
Basic
Sigma
Basic
Lex
String
Defs
Sum
Basic
Order
Sym
Basic
Tree
Basic
Vector
Basic
Defs
ZMod
Defs
Bracket
Ineq
Part
Quot
SProd
Subtype
ULift
Dynamics
FixedPoints
Basic
GroupTheory
Congruence
Defs
Hom
Coset
Basic
Defs
GroupAction
DomAct
Basic
SubMulAction (
file
)
Pointwise
ConjAct
Defs
Hom
Perm
Basic
QuotientGroup
Basic
Defs
Subgroup
Center
Centralizer
Submonoid
Center
Centralizer
Subsemigroup
Center
Centralizer
Finiteness
Lean
Elab
Tactic
Basic
Term
Expr
Basic
ExtraRecognizers
Rat
ReplaceRec
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