General documentation
index
foundational types
tactics
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
UpdateGoal
LevelIndex
PremiseIndex
RuleInfo
SlotIndex
Substitution
Frontend (
file
)
Extension (
file
)
Init
Attribute
Basic
Command
RuleExpr
Saturate
Tactic
Index (
file
)
Basic
DiscrTreeConfig
Forward
RulePattern
Options
Internal
Public
Rule (
file
)
Basic
Forward
Name
RulePattern (
file
)
Cache
RuleSet (
file
)
Filter
Member
Name
RuleTac (
file
)
Forward (
file
)
Basic
Apply
Basic
Cases
Descr
ElabRuleTerm
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
File
Report
Tree
Data (
file
)
ForwardRuleMatches
AddRapp
Check
ExtractProof
ExtractScript
Free
RunMetaM
State
Stats
Tracing
Traversal
TreeM
UnsafeQueue
Util
Tactic (
file
)
Ext
Unfold
Basic
EqualUpToIds
OrderedHashSet
Unfold
UnionFind
UnorderedArraySet
BaseM
Check
Constants
EMap
ElabM
Exception
Main
Nanos
Percent
Saturate
Tracing
Archive
Sensitivity
Batteries
Classes
Order
RatCast
CodeAction (
file
)
Attr
Basic
Deprecated
Match
Misc
Control
ForInStep
Basic
Lemmas
Nondet
Basic
AlternativeMonad
LawfulMonadState
Lemmas
OptionT
Data
Array
Basic
Merge
BinomialHeap
Basic
Fin
Basic
Lemmas
List
Basic
Count
Lemmas
Pairwise
Perm
MLList
Basic
Nat
Bitwise (
file
)
Lemmas
Basic
Lemmas
UInt
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
Case
Congr
Exact
GeneralizeProofs
HelpCmd
Init
OpenPrivate
PermuteGoals
SeqFocus
Trans
Unreachable
Util
Cache
ExtendedBinder
LibraryNote
ProofWanted
Logic
ImportGraph
Graph
TransitiveClosure
Imports
ImportGraph
Redundant
RequiredModules
Lean
Environment
Tools (
file
)
FindHome
ImportDiff
MinImports
RedundantImports
Init (
file
)
Control (
file
)
Lawful (
file
)
MonadAttach (
file
)
Instances
Lemmas
MonadLift (
file
)
Basic
Instances
Lemmas
Basic
Instances
Lemmas
Basic
Do
EState
Except
ExceptCps
Id
MonadAttach
Option
Reader
State
StateCps
StateRef
Data (
file
)
Array (
file
)
Lex (
file
)
Basic
Lemmas
QSort (
file
)
Basic
Sort (
file
)
Basic
Lemmas
Subarray (
file
)
Split
Attach
Basic
BasicAux
BinSearch
Bootstrap
Count
DecidableEq
Erase
Extract
FinRange
Find
GetLit
InsertIdx
InsertionSort
Int
Lemmas
MapIdx
Mem
MinMax
Monadic
Nat
OfFn
Perm
Range
Set
TakeDrop
Zip
BitVec (
file
)
Basic
BasicAux
Bitblast
Bootstrap
Decidable
Folds
Lemmas
ByteArray (
file
)
Basic
Bootstrap
Extra
Lemmas
Char (
file
)
Basic
Lemmas
Order
Ordinal
Dyadic (
file
)
Basic
Instances
Inv
Round
Fin (
file
)
Basic
Bitwise
Fold
Iterate
Lemmas
Log2
OverflowAware
FloatArray (
file
)
Basic
Format (
file
)
Basic
Instances
Macro
Syntax
Int (
file
)
Bitwise (
file
)
Basic
Lemmas
DivMod (
file
)
Basic
Bootstrap
Lemmas
Pow
Basic
Compare
Cooper
Gcd
Lemmas
LemmasAux
Linear
OfNat
Order
Pow
Repr
ToString
Iterators (
file
)
Combinators (
file
)
Monadic (
file
)
Append
Attach
FilterMap
FlatMap
Take
ULift
Append
Attach
FilterMap
FlatMap
Take
ULift
Consumers (
file
)
Monadic (
file
)
Access
Collect
Loop
Partial
Total
Access
Collect
Loop
Partial
Stream
Total
Internal (
file
)
LawfulMonadLiftFunction
Lemmas (
file
)
Combinators (
file
)
Monadic (
file
)
Append
Attach
FilterMap
FlatMap
Take
ULift
Append
Attach
FilterMap
FlatMap
Take
ULift
Consumers (
file
)
Monadic (
file
)
Collect
Loop
Access
Collect
Loop
Monadic
Basic
Producers (
file
)
Monadic (
file
)
List
List
Basic
Producers (
file
)
Monadic (
file
)
List
List
Basic
PostconditionMonad
ToIterator
List (
file
)
Int (
file
)
Prod
Sum
Nat (
file
)
BEq
Basic
Count
Erase
Find
InsertIdx
Modify
Pairwise
Perm
Prod
Range
Sublist
Sum
TakeDrop
Scan (
file
)
Basic
Lemmas
Sort (
file
)
Basic
Impl
Lemmas
SplitOn (
file
)
Basic
Lemmas
Attach
Basic
BasicAux
Control
ControlImpl
Count
Erase
FinRange
Find
Impl
Lemmas
Lex
MapIdx
MinMax
MinMaxIdx
MinMaxOn
Monadic
Notation
OfFn
Pairwise
Perm
Range
Sublist
TakeDrop
ToArray
ToArrayImpl
Zip
Nat (
file
)
Bitwise (
file
)
Basic
Lemmas
Div (
file
)
Basic
Lemmas
Power2 (
file
)
Basic
Lemmas
Sqrt (
file
)
Basic
Lemmas
Basic
Compare
Control
Coprime
Dvd
Fold
Gcd
Lcm
Lemmas
Linear
Log2
MinMax
Mod
Order
SOM
Simproc
ToString
Option (
file
)
Array
Attach
Basic
BasicAux
Coe
Function
Instances
Lemmas
List
Monadic
Ord (
file
)
Array
Basic
BitVec
SInt
String
UInt
Vector
Order (
file
)
Classes
ClassesExtra
Factories
FactoriesExtra
Lemmas
LemmasExtra
MinMaxOn
Opposite
Ord
PackageFactories
Range (
file
)
Polymorphic (
file
)
Internal
SignedBitVec
Basic
BitVec
Char
Fin
GetElemTactic
Instances
Int
IntLemmas
Iterators
Lemmas
Map
Nat
NatLemmas
PRange
RangeIterator
SInt
Stream
UInt
UpwardEnumerable
Basic
Lemmas
Rat (
file
)
Basic
Lemmas
SInt (
file
)
Basic
Bitwise
Float
Float32
Lemmas
Slice (
file
)
Array (
file
)
Basic
Iterator
Lemmas
List (
file
)
Basic
Iterator
Lemmas
Basic
InternalLemmas
Lemmas
Notation
Operations
String (
file
)
Iter (
file
)
Basic
Intercalate
Lemmas (
file
)
Pattern (
file
)
Find (
file
)
Basic
Char
Pred
String
Split (
file
)
Basic
Char
Pred
String (
file
)
Basic
ForwardPattern
ForwardSearcher
TakeDrop (
file
)
Basic
Char
Pred
String
Basic
Char
Memcmp
Pred
Basic
FindPos
Hashable
Intercalate
IsEmpty
Iter
Iterate
Length
Modify
Order
Search
Slice
Splits
StringOrder
TakeDrop
Pattern (
file
)
Basic
Char
Pred
String
Basic
Bootstrap
Decode
Defs
Extra
FindPos
Hashable
Iterate
Iterator
Legacy
Length
Modify
OrderInstances
PosRaw
Search
Slice
Stream
Subslice
Substring
TakeDrop
Termination
ToSlice
Subtype (
file
)
Basic
Order
OrderExtra
Sum (
file
)
Basic
Lemmas
ToString (
file
)
Basic
Extra
Macro
Name
UInt (
file
)
Basic
BasicAux
Bitwise
Lemmas
Log2
Vector (
file
)
Algebra
Attach
Basic
Count
DecidableEq
Erase
Extract
FinRange
Find
InsertIdx
Int
Lemmas
Lex
MapIdx
Monadic
Nat
OfFn
Perm
Range
Stream
Zip
AC
BEq
Bool
Cast
Float
Float32
Function
Hashable
LawfulHashable
NeZero
OfScientific
PLift
Prod
Queue
RArray
Random
Repr
Stream
ULift
Zero
Grind (
file
)
Module (
file
)
Basic
Envelope
NatModuleNorm
OfNatModule
Ordered (
file
)
Field
Int
Linarith
Module
Order
Rat
Ring
Ring (
file
)
Basic
CommSemiringAdapter
CommSolver
Envelope
Field
OfScientific
ToInt
AC
Annotated
Attr
Cases
Config
Ext
FieldNormNum
Injective
Interactive
Lemmas
Lint
Norm
Offset
Order
PP
Propagator
Tactics
ToInt
ToIntLemmas
Util
GrindInstances (
file
)
Ring (
file
)
BitVec
Fin
Int
Nat
Rat
SInt
UInt
Nat
ToInt
Internal (
file
)
Order (
file
)
Basic
Lemmas
MonadTail
Tactic
While
Meta (
file
)
Defs
Omega (
file
)
Coeffs
Constraint
Int
IntList
LinearCombo
Logic
Sym (
file
)
DSimp
DSimprocDSL
Simp
SimprocDSL
Lemmas
System (
file
)
CancelToken
FilePath
IO
IOError
Platform
Promise
ST
Uri
BinderNameHint
BinderPredicates
ByCases
CbvSimproc
Classical
Coe
Conv
Core
Dynamic
Ext
GetElem
Guard
Hints
LawfulBEqTactics
MacroTrace
MetaTypes
MethodSpecsSimp
Notation
NotationExtra
Prelude
PropLemmas
RCases
ShareCommon
SimpLemmas
Simproc
SizeOf
SizeOfLemmas
Syntax
Tactics
TacticsExtra
Task
Try
Util
WF
WFComputable
WFExtrinsicFix
WFTactics
While
Lake (
file
)
Build (
file
)
Job (
file
)
Basic
Monad
Register
Target (
file
)
Basic
Fetch
Actions
Common
Context
Data
Executable
ExternLib
Facets
Fetch
Index
Info
Infos
InitFacets
InputFile
Key
Library
Module
ModuleArtifacts
Package
Run
Store
Targets
Topological
Trace
CLI
Actions
Config (
file
)
Artifact
Cache
ConfigDecl
ConfigTarget
Context
Defaults
Dependency
Dynlib
Env
ExternLib
ExternLibConfig
FacetConfig
Glob
InputFile
InputFileConfig
InstallPath
Kinds
LakeConfig
Lang
LeanConfig
LeanExe
LeanExeConfig
LeanLib
LeanLibConfig
Meta
MetaClasses
Module
Monad
Opaque
OutFormat
Package
PackageConfig
Pattern
Script
TargetConfig
Workspace
WorkspaceConfig
DSL (
file
)
Attributes
AttributesCore
Config
DeclUtil
Extensions
Key
Meta
Package
Require
Script
Syntax
Targets
VerLit
Toml (
file
)
Data (
file
)
DateTime
Dict
Value
Elab (
file
)
Expression
Value
Decode
Encode
Grammar
Load
ParserUtil
Util (
file
)
Binder
Casing
Cli
Cycle
Date
EStateT
EquipT
Error
Exit
Family
FilePath
Git
IO
JsonObject
Lift
Lock
Log
MainM
Message
Name
NativeLib
Opaque
OpaqueType
OrdHashSet
OrderedTagAttribute
Proc
RBArray
Reservoir
Store
StoreInsts
String
Task
Url
Version
Reservoir
Version
Lean (
file
)
Compiler (
file
)
IR (
file
)
Basic
Checker
CompilerM
EmitLLVM
EmitUtil
Format
LLVMBindings
Meta
NormIds
Sorry
ToIR
ToIRType
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
CoalesceRC
CompatibleTypes
CompilerM
ConfigOptions
DeclHash
DependsOn
ElimDead
ElimDeadBranches
EmitC
EmitUtil
ExpandResetReuse
ExplicitBoxing
ExplicitRC
ExtractClosed
FVarUtil
FixedParams
FloatLetIn
InferBorrow
InferType
Internalize
Irrelevant
JoinPoints
LCtx
LambdaLifting
Level
LiveVars
Main
MonadScope
MonoTypes
OtherDecl
PassManager
Passes
PhaseExt
PrettyPrinter
Probing
PropagateBorrow
PublicDeclsExt
PullFunDecls
PullLetDecls
PushProj
ReduceArity
ReduceJpArity
Renaming
ResetReuse
ScopeM
SimpCase
SimpleGroundExpr
SpecInfo
Specialize
SplitSCC
StructProjCases
ToDecl
ToExpr
ToImpure
ToImpureType
ToLCNF
ToMono
Toposort
Types
Util
Visibility
BorrowedAnnotation
CSimpAttr
ClosedTermCache
ExportAttr
ExternAttr
FFI
ImplementedByAttr
InitAttr
InlineAttrs
Main
MetaAttr
ModPkgExt
NameDemangling
NameMangling
NeverExtractAttr
NoncomputableAttr
Old
Options
Specialize
Data (
file
)
Iterators (
file
)
Producers (
file
)
PersistentHashMap
Json (
file
)
FromToJson (
file
)
Basic
Extra
Basic
Elab
Parser
Printer
Stream
Lsp (
file
)
Basic
BasicAux
CancelParams
Capabilities
Client
CodeActions
Communication
Diagnostics
Extra
InitShutdown
Internal
Ipc
LanguageFeatures
TextSync
Utf16
Window
Workspace
NameMap (
file
)
AdditionalOperations
Basic
Array
AssocList
DeclarationRange
EditDistance
Format
FuzzyMatching
JsonRpc
KVMap
LBool
LOption
Name
NameTrie
OpenDecl
Options
PPContext
PersistentArray
PersistentHashMap
PersistentHashSet
Position
PrefixTree
RArray
RBMap
RBTree
SMap
SSet
Trie
DocString (
file
)
Add
Extension
Formatter
Links
Markdown
Parser
Syntax
Types
Elab (
file
)
BuiltinDo (
file
)
Basic
For
Forward
If
Jump
Let
Match
MatchExpr
Misc
Repeat
TryCatch
Command (
file
)
Scope
WithWeakNamespace
ConfigEval (
file
)
Basic
Builtins
Commands
DeriveEvalConfigItem
DeriveEvalExpr
DeriveEvalTerm
Extra
Instances
MetaInstances
Types
Util
Deriving (
file
)
BEq
Basic
DecEq
FromToJson
Hashable
Inhabited
LawfulBEq
Nonempty
Ord
ReflBEq
Repr
SizeOf
ToExpr
TypeName
Util
Do (
file
)
Basic
Control
ForwardSyntax
InferControlInfo
Legacy
PatternVar
Switch
DocString (
file
)
Builtin (
file
)
Keywords
Parsing
Postponed
Scopes
InfoTree (
file
)
InlayHints
Main
Types
PreDefinition (
file
)
PartialFixpoint (
file
)
Eqns
Induction
Main
Structural (
file
)
BRecOn
Basic
Eqns
FindRecArg
IndGroupInfo
IndPred
Main
Preprocess
RecArgInfo
SmartUnfolding
WF (
file
)
Basic
Eqns
Fix
FloatRecApp
GuessLex
Main
PackMutual
Preprocess
Rel
Unfold
Basic
EqUnfold
Eqns
EqnsUtils
FixedParams
Main
MkInhabitant
Mutual
TerminationHint
TerminationMeasure
Quotation (
file
)
Precheck
Util
Tactic (
file
)
BVDecide (
file
)
BVCheck
BVDecide
BVTrace
Normalize
Conv (
file
)
Basic
Cbv
Change
Congr
Delta
Lets
Pattern
Rewrite
Simp
Unfold
Do (
file
)
Internal (
file
)
VCGen (
file
)
Context
Driver
Entails
Frontend
Reduce
RuleCache
RuleConstruction
Solve
SpecDB
Util
ProofMode (
file
)
Assumption
Basic
Cases
Clear
Constructor
Delab
Exact
Exfalso
Focus
Frame
Have
Intro
LeftRight
MGoal
Pure
Refine
RenameI
Revert
Specialize
VCGen (
file
)
Basic
Split
SuggestInvariant
Attr
LetElim
Spec
Syntax
Grind (
file
)
Anchor
Annotated
Basic
BuiltinTactic
Config
DSimprocDSL
DSimprocDSLBuiltin
Filter
Have
Lint
LintExceptions
Main
Param
RegisterSymDSimp
RegisterSymSimp
ShowState
SimprocDSL
SimprocDSLBuiltin
Sym
Trace
WithGrindTacticM
Omega (
file
)
Core
Frontend
MinNatAbs
OmegaM
AsAuxLemma
Basic
BoolToPropSimps
BuiltinTactic
Calc
Cbv
CbvSimproc
Change
Classical
Config
Congr
Decide
Delta
DiscrTreeKey
Doc
ElabTerm
ExposeNames
Ext
FalseOrByContra
Generalize
Guard
Impossible
Induction
Injection
Lets
LibrarySearch
Location
Match
Meta
Monotonicity
NormCast
RCases
RenameInaccessibles
Repeat
Rewrite
Rewrites
Rfl
Show
ShowTerm
Simp
SimpArith
SimpTrace
Simpa
Simproc
SolveByElim
Split
Symm
TreeTacAttr
Try
Unfold
Term (
file
)
TermElabM
App
Arg
AssertExists
Attributes
AutoBound
AuxDef
BinderPredicates
Binders
BindersUtil
BuiltinCommand
BuiltinEvalCommand
BuiltinNotation
BuiltinTerm
Calc
CheckTactic
Coinductive
ComputedFields
Config
DeclModifiers
DeclNameGen
DeclUtil
Declaration
DeclarationRange
DefView
DeprecatedArg
DeprecatedSyntax
ElabRules
ErrorExplanation
ErrorUtils
Eval
Exception
Extra
Frontend
GenInjective
GuardMsgs
Idbg
Import
Inductive
InfoTrees
InheritDoc
LetRec
Level
Macro
MacroArgUtil
MacroRules
Match
MatchAltView
MatchExpr
Mixfix
MutualDef
MutualInductive
Notation
Open
Parallel
ParseImportsFast
PatternVar
Print
RecAppSyntax
RecommendedSpelling
SetOption
StructInst
StructInstHint
Structure
Syntax
SyntheticMVars
Task
Time
Util
WhereFinally
Language
Lean (
file
)
Types
Basic
Util
LibrarySuggestions (
file
)
Basic
Default
MePo
SineQuaNon
SymbolFrequency
Linter (
file
)
EnvLinter (
file
)
Basic
Frontend
Extra (
file
)
DupNamespace
UnnecessarySeqFocus
UnreachableTactic
UnusedDecidableInType
Basic
Builtin
CheckUnivs
Coe
ConstructorAsVariable
DefProp
Deprecated
DocsOnAlt
GlobalAttributeIn
Init
List
MissingDocs
Omit
PersistentLintLog
Sets
TacticTypeCheck
UnusedSimpArgs
UnusedVariables
Util
Meta (
file
)
ArgsPacker (
file
)
Basic
Constructions (
file
)
BRecOn
CasesOn
CasesOnSameCtor
CtorElim
CtorIdx
NoConfusion
RecOn
SparseCasesOn
SparseCasesOnEq
DiscrTree (
file
)
Basic
Main
Types
Util
Match (
file
)
MatcherApp (
file
)
Basic
Transform
AltTelescopes
Basic
CaseArraySizes
CaseValues
MVarRenaming
Match
MatchEqs
MatchEqsExt
MatchPatternAttr
MatcherInfo
NamedPatterns
Rewrite
SimpH
SolveOverlap
Value
Sym (
file
)
Arith (
file
)
Classify
DenoteExpr
EvalNum
Functions
MonadCanon
MonadRing
MonadSemiring
MonadVar
Poly
Reify
ToExpr
Types
VarRename
DSimp (
file
)
App
DSimpM
DSimproc
EvalGround
Forall
Lambda
Let
Main
Reduce
Result
Variant
Simp (
file
)
App
Attr
CongrInfo
ControlFlow
Debug
Discharger
DiscrTree
EvalGround
Forall
Goal
Have
Lambda
Main
RegisterCommand
Result
Rewrite
SimpM
Simproc
Telescope
Theorems
Variant
AbstractS
AlphaShareBuilder
AlphaShareCommon
Apply
Canon
Eta
ExprPtr
Grind
InferType
InstantiateMVarsS
InstantiateS
Intro
IsClass
LitValues
LooseBVarsS
MaxFVar
Offset
Pattern
ProofInstInfo
ReplaceS
SymM
SynthInstance
Util
Tactic (
file
)
AC (
file
)
Main
BVDecide (
file
)
LRAT (
file
)
Cert
Trim
Normalize (
file
)
AC
AndFlatten
ApplyControlFlow
Basic
EmbeddedConstraint
Enums
IntToBitVec
Rewrite
ShortCircuit
Simproc
Structures
TypeAnalysis
Prover (
file
)
Basic
Bitblast
Reflect (
file
)
Basic
ReifiedBVExpr
ReifiedBVLogical
ReifiedBVPred
ReifiedLemmas
Reify
SatAtBVLogical
Attr
Counterexample
External
Main
TacticContext
Cbv (
file
)
BuiltinCbvSimprocs
Array
Core
String
CbvEvalExt
CbvSimproc
ControlFlow
Main
Opaque
TheoremsLookup
Util
Grind (
file
)
AC (
file
)
Action
DenoteExpr
Eq
Internalize
Inv
PP
Proof
Seq
ToExpr
Types
Util
Var
VarRename
Arith (
file
)
CommRing (
file
)
Action
DenoteExpr
EqCnstr
Functions
Internalize
Inv
MonadRing
MonadSemiring
NonCommRingM
NonCommSemiringM
PP
Power
Proof
Reify
RingId
RingM
SafePoly
SemiringM
Types
Cutsat (
file
)
Action
CommRing
DvdCnstr
EqCnstr
Inv
LeCnstr
MBTC
Model
Nat
Norm
Proof
ReorderVars
Search
SearchM
ToInt
ToIntInfo
Types
Util
Var
VarRename
Linear (
file
)
Action
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N1000000AvailFrom
N1000000BCompressionCompute
N1000000BCompressionComputeBase
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N1000000BCompressionComputeS0Int
N1000000BCompressionComputeS0IntBlock0
N1000000BCompressionComputeS0IntBlock1
N1000000BCompressionComputeS0IntBlock2
N1000000BCompressionComputeS0IntBlock3
N1000000BCompressionComputeS0IntBlock4
N1000000BCompressionComputeS0IntBlock5
N1000000BCompressionComputeS0IntBlock6
N1000000BCompressionComputeS0IntGoal
N1000000BCompressionComputeSi
N1000000BCompressionComputeSiInt
N1000000BCompressionComputeSiIntBlock0
N1000000BCompressionComputeSiIntBlock0Vars0to3
N1000000BCompressionComputeSiIntBlock0Vars12to15
N1000000BCompressionComputeSiIntBlock0Vars16to19
N1000000BCompressionComputeSiIntBlock0Vars20to22
N1000000BCompressionComputeSiIntBlock0Vars4to7
N1000000BCompressionComputeSiIntBlock0Vars8to11
N1000000BCompressionComputeSiIntBlock1
N1000000BCompressionComputeSiIntBlock1Vars0to3
N1000000BCompressionComputeSiIntBlock1Vars12to15
N1000000BCompressionComputeSiIntBlock1Vars16to19
N1000000BCompressionComputeSiIntBlock1Vars20to22
N1000000BCompressionComputeSiIntBlock1Vars4to7
N1000000BCompressionComputeSiIntBlock1Vars8to11
N1000000BCompressionComputeSiIntBlock2
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Manifold
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Dual
Extr
FiniteDimension
HahnBanach
MultipliableUniformlyOn
Normalize
Ray
RieszLemma
Shrink
Span
TransferInstance
WeakDual
Operator
Compact
Basic
FiniteDimension
FredholmAlternative
Asymptotics
Banach
BanachSteinhaus
Basic
Bilinear
BoundedLinearMaps
CompleteCodomain
Completeness
Conformal
ContinuousLinearMap
Extend
LinearIsometry
Mul
NNNorm
NormedSpace
Prod
Order
Lattice
Ring
Basic
Finite
InfiniteSum
Lemmas
Units
MulAction
ODE
Gronwall
Polynomial
Basic
RCLike
Basic
BoundedContinuous
Extend
Lemmas
Sqrt
TangentCone
Real
Pi
Bounds
Wallis
Cardinality
Spectrum
Sqrt
SpecialFunctions
Complex
Analytic
Arg
Circle
CircleAddChar
CircleMap
Log
LogBounds
LogDeriv
ContinuousFunctionalCalculus
PosPart
Basic
Rpow
Basic
Isometric
Abs
Gamma
Basic
Beta
BohrMollerup
Deligne
Deriv
Gaussian
FourierTransform
GaussianIntegral
PoissonSummation
Integrability
Basic
Integrals
Basic
Log
Base
Basic
Deriv
InvLog
Monotone
NegMulLog
Summable
Pow
Asymptotics
Complex
Continuity
Deriv
NNReal
Real
Trigonometric
Chebyshev
Basic
RootsExtrema
Angle
Arctan
ArctanDeriv
Basic
Bounds
Complex
ComplexDeriv
Cotangent
Deriv
DerivHyp
EulerSineProd
Inverse
Series
Sinc
Arcosh
Bernstein
Exp
ExpDeriv
Exponential
ImproperIntegrals
JapaneseBracket
MulExpNegMulSq
MulExpNegMulSqIntegral
NonIntegrable
Pochhammer
PolarCoord
PolynomialExp
Sigmoid
SmoothTransition
Sqrt
Stirling
SpecificLimits
ArithmeticGeometric
Basic
Normed
RCLike
VonNeumannAlgebra
Basic
BoundedVariation
Convolution
LConvolution
MeanInequalities
MeanInequalitiesPow
MellinTransform
Oscillation
PSeries
PSeriesComplex
Quaternion
Seminorm
SumIntegralComparisons
SumOverResidueClass
CategoryTheory
Abelian
DiagramLemmas
Four
GrothendieckAxioms
Basic
Colim
FunctorCategory
Sheaf
GrothendieckCategory
Basic
ColimCoyoneda
EnoughInjectives
HasExt
Monomorphisms
Subobject
Injective
Resolution
Projective
Resolution
Basic
CommSq
Exact
Ext
FunctorCategory
Images
LeftDerived
NonPreadditive
Opposite
Refinements
Subobject
Transfer
Action
Basic
Concrete
Limits
Monoidal
Adhesive
Basic
Adjunction
Additive
AdjointFunctorTheorems
Basic
Comma
FullyFaithful
Limits
Mates
Opposites
Parametrized
Reflective
Restrict
Unique
Whiskering
Bicategory
Functor
Lax
Oplax
Prelax
Pseudofunctor
Strict
Basic
Basic
Category
Cat (
file
)
AsSmall
Basic
GaloisConnection
Init
Pairwise
Pointed
Preorder
Quiv
ULift
Comma
Over
Basic
Pullback
Presheaf
Basic
StructuredArrow
Basic
Functor
Small
Arrow
Basic
CardinalArrow
LocallySmall
ComposableArrows
Basic
ConcreteCategory
Basic
Bundled
Elementwise
EpiMono
Forget
ReflectsIso
Discrete
Basic
StructuredArrow
EffectiveEpi
Basic
Endofunctor
Algebra
Filtered
Basic
Connected
Final
FinCategory
AsType
Basic
Functor
KanExtension
Adjunction
Basic
Pointwise
Preserves
ReflectsIso
Balanced
Basic
Basic
Category
Const
Currying
EpiMono
Flat
FullyFaithful
Hom
OfSequence
Trifunctor
TwoSquare
Generator
Basic
Presheaf
Sheaf
Groupoid (
file
)
Grpd
Basic
Idempotents
Basic
FunctorCategories
Karoubi
LiftingProperties
Adjunction
Basic
Limits
Limits
ConcreteCategory
Basic
Filtered
Constructions
BinaryProducts
EpiMono
Equalizers
EventuallyConstant
Filtered
FiniteProductsOfBinaryProducts
LimitsOfProductsAndEqualizers
Pullbacks
WeaklyInitial
Final (
file
)
Connected
FunctorCategory
Shapes
Terminal
Basic
EpiMono
Finite
Preserves
Creates
Finite
Pullbacks
Shapes
AbelianImages
BinaryProducts
Biproducts
Equalizers
Kernels
Preorder
Products
Pullbacks
Terminal
Zero
Basic
Bifunctor
Filtered
Finite
FunctorCategory
Limits
Opposites
Ulift
Shapes
NormalMono
Basic
Equalizers
Opposites
Equalizers
Filtered
Kernels
Products
Pullbacks
Preorder
Basic
Fin
HasIterationOfShape
PrincipalSeg
TransfiniteCompositionOfShape
WellOrderContinuous
Pullback
IsPullback
Basic
Defs
Assoc
Cospan
Equifibered
HasPullback
Iso
Mono
Pasting
PullbackCone
Square
BinaryBiproducts
BinaryProducts
Biproducts
ConcreteCategory
Countable
Diagonal
DisjointCoproduct
Equalizers
Equivalence
FiniteLimits
FiniteProducts
Grothendieck
Images
IsTerminal
KernelPair
Kernels
Multiequalizer
Products
RegularMono
SplitCoequalizer
SplitEqualizer
StrictInitial
StrongEpi
Terminal
WideEqualizers
WidePullbacks
ZeroMorphisms
ZeroObjects
Types
ColimitType
Colimits
Coproducts
Equalizers
Filtered
Images
Limits
Products
Pullbacks
Pushouts
Yoneda
Bicones
ColimitLimit
Comma
ConeCategory
Cones
Connected
Creates
EssentiallySmall
ExactFunctor
Filtered
FilteredColimitCommutesFiniteLimit
Fubini
FullSubcategory
HasLimits
IsConnected
IsLimit
Lattice
MonoCoprod
Opposites
Over
Preorder
Presentation
Presheaf
Sifted
Skeleton
Unit
VanKampen
Yoneda
Linear
Basic
FunctorCategory
LinearFunctor
Yoneda
Localization
CalculusOfFractions (
file
)
ComposableArrows
Fractions
Preadditive
Adjunction
Bousfield
Composition
Construction
Equivalence
HasLocalization
HomEquiv
LocalizerMorphism
Opposite
Predicate
SmallHom
SmallShiftedHom
Triangulated
Monad
Algebra
Basic
Products
Monoidal
Braided
Basic
Cartesian
Basic
FunctorCategory
Closed
Basic
Cartesian
Types
ExternalProduct
Basic
Limits
Preserves
Rigid
Basic
Braided
FunctorCategory
OfEquivalence
Types
Basic
Category
CoherenceLemmas
Discrete
End
Functor
FunctorCategory
Linear
NaturalTransformation
Opposite
Preadditive
Skeleton
Subcategory
Transport
MorphismProperty
Basic
Composition
Concrete
Factorization
IsInvertedBy
IsSmall
LiftingProperty
Limits
Retract
TransfiniteComposition
ObjectProperty
Basic
ClosedUnderIsomorphisms
ColimitsClosure
ColimitsOfShape
CompleteLattice
ContainsZero
Equivalence
FiniteProducts
FullSubcategory
LimitsClosure
LimitsOfShape
Local
Opposite
Retract
Shift
ShiftAdditive
Small
PathCategory
Basic
MorphismProperty
Pi
Basic
Preadditive
Injective
Basic
LiftingProperties
Preserves
Resolution
Projective
Basic
Preserves
Resolution
Yoneda
Basic
AdditiveFunctor
Basic
Biproducts
FunctorCategory
LeftExact
Opposite
Schur
Transfer
Presentable
IsCardinalFiltered
Products
Associator
Basic
Bifunctor
Unitor
Quotient (
file
)
Linear
Preadditive
Shift
Adjunction
Basic
CommShift
Induced
InducedShiftSequence
Localization
Opposite
Pullback
Quotient
ShiftSequence
ShiftedHom
ShiftedHomOpposite
SingleFunctors
Sites
DenseSubsite
Basic
InducedTopology
SheafEquiv
Hypercover
IsSheaf
One
Zero
SheafCohomology
Basic
Abelian
Canonical
Closed
CompatiblePlus
CompatibleSheafification
ConcreteSheafification
ConstantSheaf
Continuous
CoverLifting
CoverPreserving
Coverage
EpiMono
EqualizerSheafCondition
Equivalence
Grothendieck
InducedTopology
IsSheafFor
LeftExact
Limits
Localization
LocallyBijective
LocallyFullyFaithful
LocallyInjective
LocallySurjective
Plus
Precoverage
PrecoverageToGrothendieck
PreservesLocallyBijective
PreservesSheafification
Pretopology
Pullback
Sheaf
SheafOfTypes
Sheafification
Sieves
Spaces
Subsheaf
Whiskering
SmallObject
Iteration
Basic
ExtendToSucc
FunctorOfCocone
Nonempty
Basic
Construction
IsCardinalForSmallObjectArgument
TransfiniteCompositionLifting
TransfiniteIteration
WellOrderInductionData
Subfunctor
Basic
Image
OfSection
Sieves
Subobject
Basic
Comma
FactorThru
HasCardinalLT
Lattice
Limits
MonoOver
WellPowered
Triangulated
Opposite
Basic
Pretriangulated
Triangle
Basic
Functor
HomologicalFunctor
Pretriangulated
Rotate
Subcategory
TriangleShift
Triangulated
Yoneda
Types
Basic
Epimorphisms
Monomorphisms
WithTerminal
Basic
Cone
Balanced
CatCommSq
CofilteredSystem
CommSq
Conj
Countable
Elements
Elementwise
Endomorphism
EpiMono
EqToHom
Equivalence
EssentialImage
EssentiallySmall
Extensive
FintypeCat
GradedObject
Grothendieck
HomCongr
InducedCategory
IsConnected
Iso
IsomorphismClasses
NatIso
NatTrans
Opposites
PEmpty
PUnit
Retract
ShrinkYoneda
Simple
SingleObj
Skeletal
Square
Thin
Whiskering
Yoneda
Combinatorics
Digraph
Basic
Enumerative
Catalan
Basic
Partition
Basic
GenFun
Glaisher
Composition
DoubleCounting
InclusionExclusion
Hall
Basic
Finite
Matroid
Minor
Restrict
Rank
Cardinal
ENat
Finite
Basic
Circuit
Closure
Constructions
Dual
IndepAxioms
Init
Loop
Map
Quiver
Basic
Cast
Path
Prefunctor
Push
ReflQuiver
SingleObj
Symmetric
SetFamily
Compression
Down
Shatter
SimpleGraph
Coloring
Vertex
Connectivity
Connected
EdgeConnectivity
Finite
Subgraph
Walk
Basic
Chord
Counting
Decomp
Maps
Operations
Subwalks
Traversal
Acyclic
AdjMatrix
Basic
Bipartite
Clique
Copy
Dart
DegreeSum
DeleteEdges
Finite
Init
LapMatrix
Maps
Metric
Operations
Paths
Subgraph
Colex
Nullstellensatz
Computability
Primrec
Basic
List
TuringMachine
PostTuringMachine
StackTuringMachine
Tape
ContextFreeGrammar
DFA
Encoding
Halting
Language
MyhillNerode
Partrec
PartrecBasis
PartrecCode
RE
Reduce
StateTransition
Control
Monad
Basic
Cont
Writer
Traversable
Basic
Instances
Applicative
Basic
Bifunctor
Combinators
EquivFunctor
Functor
Lawful
ULift
ULiftable
Data
Bool
Basic
Set
Complex
Basic
BigOperators
Countable
Basic
Defs
Small
DFinsupp
BigOperators
Defs
Encodable
Ext
Lex
Module
NeLocus
Order
Sigma
Small
Submonoid
WellFounded
ENNReal
Action
Basic
BigOperators
Holder
Inv
Lemmas
Operations
Real
ENat
Basic
Defs
Lattice
Pow
EReal
Basic
Inv
Operations
Fin
Tuple
Basic
Embedding
NatAntidiagonal
Reflection
Sort
Basic
Embedding
Fin2
Rev
SuccPred
SuccPredOrder
VecNotation
Finite
Defs
Perm
Prod
Set
Sigma
Sum
Finset
Lattice
Basic
Fold
Lemmas
Prod
Union
Attach
Attr
Basic
BooleanAlgebra
Card
Dedup
Defs
Density
Disjoint
Empty
Erase
Filter
Fin
Finsupp
Fold
Image
Insert
Max
MulAntidiagonal
NAry
NatAntidiagonal
NatDivisors
NoncommProd
Option
Order
Pairwise
Pi
Piecewise
Powerset
Preimage
Prod
Range
SDiff
SMulAntidiagonal
Sigma
Slice
Sort
Sum
Sym
SymmDiff
Union
Update
Finsupp
MonomialOrder (
file
)
DegLex
Antidiagonal
Basic
Defs
Encodable
Ext
Fin
Fintype
Indicator
Interval
Lex
Multiset
Notation
Option
Order
PWO
Pointwise
SMul
SMulWithZero
Single
ToDFinsupp
Weight
WellFounded
Fintype
Basic
BigOperators
Card
CardEmbedding
Defs
EquivFin
Fin
Inv
Lattice
List
OfMap
Option
Order
Parity
Perm
Pi
Pigeonhole
Powerset
Prod
Quotient
Sets
Shrink
Sigma
Sort
Sum
Vector
WithTopBot
FunLike
Basic
Embedding
Equiv
Fintype
Group
IsApply
Module
Ring
Int
Cast
Basic
Defs
Field
Lemmas
Pi
Prod
Fib
Basic
Order
Basic
Lemmas
Units
Associated
Basic
CardIntervalMod
CharZero
ConditionallyCompleteOrder
DivMod
GCD
Init
Interval
LeastGreatest
Log
ModEq
NatAbs
NatPrime
Notation
Range
Sqrt
Star
SuccPred
WithZero
List
Perm
Basic
Lattice
Subperm
Basic
Chain
Count
Cycle
Dedup
Defs
Duplicate
Enum
FinRange
Flatten
Forall2
GetD
Induction
Infix
InsertIdx
Iterate
Lattice
Lex
MinMax
Monad
NatAntidiagonal
Nodup
NodupEquivFin
OfFn
OffDiag
Pairwise
Permutation
Pi
Prime
ProdSigma
Range
Rotate
Sort
Sublists
Sym
TFAE
TakeDrop
ToFinsupp
Zip
Matrix
Basic
Basis
Block
ColumnRowPartitioned
Composition
Diagonal
Mul
PEquiv
Reflection
Multiset
AddSub
Antidiagonal
Basic
Bind
Count
Dedup
Defs
Filter
FinsetOps
Fintype
Fold
Lattice
MapFold
NatAntidiagonal
OrderedMonoid
Pi
Powerset
Range
Replicate
Sections
Sort
Sum
Sym
UnionInter
ZeroCons
NNRat
Defs
Order
NNReal
Basic
Defs
Star
Nat
Cast
Order
Basic
Field
Ring
Basic
Commute
Defs
Field
NeZero
Prod
WithTop
Choose
Basic
Bounds
Cast
Central
Dvd
Factorization
Multinomial
Sum
Vandermonde
Digits
Defs
Lemmas
Factorial
Basic
BigOperators
Cast
DoubleFactorial
SuperFactorial
Factorization
Basic
Defs
Induction
LCM
PrimePow
Fib
Basic
GCD
Basic
BigOperators
NthRoot
Defs
Order
Lemmas
Prime
Basic
Defs
Factorial
Infinite
Int
Nth
Pow
Basic
BinaryRec
BitIndices
Bits
Bitwise
ChineseRemainder
Count
Dist
Factors
Find
Init
Log
MaxPowDiv
ModEq
Multiplicity
Notation
Nth
PSub
Pairing
Periodic
PrimeFin
Set
Size
Sqrt
Squarefree
SuccPred
Totient
WithBot
Num
Basic
Bitwise
Lemmas
Option
Basic
Defs
NAry
Ordering
Basic
PFunctor
Univariate
Basic
M
PNat
Basic
Defs
Equiv
Interval
Notation
Prime
Pi
Interval
Prod
Basic
Lex
PProd
TProd
QPF
Univariate
Basic
Rat
Cast
CharZero
Defs
Lemmas
OfScientific
Order
BigOperators
Defs
Encodable
Floor
Init
Lemmas
Sqrt
Star
Real
Basic
ConjExponents
ENatENNReal
Pointwise
Sign
Star
Rel (
file
)
Cover
Separated
Set
Card (
file
)
Arithmetic
Finite
Basic
Lattice
Lemmas
Powerset
Range
Lattice (
file
)
Image
Pairwise
Basic
Lattice
List
Pointwise
Support
Basic
BoolIndicator
BooleanAlgebra
CoeSort
Constructions
Countable
Defs
Disjoint
Function
Functor
Image
Inclusion
Insert
List
MemPartition
Monotone
MulAntidiagonal
NAry
Notation
Operations
Order
Piecewise
Prod
Restrict
SMulAntidiagonal
Semiring
Sigma
Subset
Subsingleton
SymmDiff
UnionLift
SetLike
Basic
Fintype
Setoid
Partition (
file
)
Card
Basic
Sigma
Basic
Lex
Order
Sign
Basic
Defs
Stream
Defs
Init
String
Defs
Sum
Basic
Order
Sym
Sym2 (
file
)
Init
Basic
Card
Tree
Basic
Vector
Basic
Defs
W
Basic
Cardinal
ZMod
Aut
Basic
Coprime
Defs
IntUnitsPower
QuotientGroup
QuotientRing
Units
ValMinAbs
Bracket
Bundle
FinEnum
Ineq
Opposite
PEquiv
PFun
Part
Quot
SProd
Subtype
ULift
Vector3
Dynamics
BirkhoffSum
Average
Basic
QuasiMeasurePreserving
Ergodic
Action
Basic
Regular
Ergodic
MeasurePreserving
FixedPoints
Basic
Defs
Topology
PeriodicPts
Defs
Lemmas
Minimal
FieldTheory
Finite
Basic
GaloisField
Trace
Galois
Abelian
Basic
GaloisClosure
Infinite
Notation
IntermediateField
Adjoin
Algebra
Basic
Defs
Algebraic
Basic
IsAlgClosed
AlgebraicClosure
Basic
Spectrum
Minpoly
Basic
Field
Finite
IsIntegrallyClosed
MinpolyDiv
Normal
Basic
Closure
Defs
PurelyInseparable
Basic
RatFunc
AsPolynomial
Basic
Defs
SplittingField
Construction
IsSplittingField
AlgebraicClosure
Extension
Finiteness
Fixed
IsSepClosed
JacobsonNoether
KrullTopology
KummerPolynomial
Perfect
PerfectClosure
PolynomialGaloisGroup
PrimitiveElement
Separable
SeparableClosure
SeparableDegree
Tower
Geometry
Convex
Cone
Basic
Euclidean
Angle
Oriented
Affine
Basic
Rotation
Unoriented
Affine
Basic
TriangleInequality
Projection
Triangle
Manifold
Algebra
LieGroup
Monoid
SMul
Structures
ContMDiff
Atlas
Basic
Constructions
Defs
NormedSpace
IsManifold
Basic
ExtChartAt
MFDeriv
Atlas
Basic
Defs
FDeriv
SpecificFunctions
UniqueDifferential
VectorBundle
Basic
ContMDiffSection
FiberwiseLinear
Tangent
BumpFunction
ChartedSpace
ContMDiffMap
Diffeomorph
HasGroupoid
Immersion
LocalInvariantProperties
LocalSourceTargetProperty
Notation
PartitionOfUnity
SmoothApprox
SmoothEmbedding
StructureGroupoid
GroupTheory
Abelianization
Defs
Finite
Commutator
Basic
Congruence
Basic
BigOperators
Defs
Hom
Opposite
Coprod
Basic
Coset
Basic
Card
Defs
Coxeter
Basic
Inversion
Length
Matrix
FiniteAbelian
Basic
Duality
FreeGroup
Basic
GroupAction
DomAct
Basic
SubMulAction (
file
)
OfFixingSubgroup
OfStabilizer
Pointwise
Basic
Blocks
CardCommute
ConjAct
Defs
Embedding
FixedPoints
FixingSubgroup
Hom
IterateAct
MultipleTransitivity
Pointwise
Primitive
Quotient
Ring
Transitive
MonoidLocalization
Away
Basic
Cardinality
Maps
MonoidWithZero
OreLocalization
Basic
Cardinality
OreSet
Perm
Cycle
Basic
Factors
Type
Basic
Closure
ConjAct
Fin
Finite
List
Option
Sign
Support
ViaEmbedding
QuotientGroup
Basic
Defs
Finite
ModEq
SpecificGroups
Cyclic (
file
)
Basic
Alternating
Dihedral
KleinFour
Subgroup
Center
Centralizer
Simple
Submonoid
Center
Centralizer
Subsemigroup
Center
Centralizer
Archimedean
ArchimedeanDensely
ClassEquation
Commensurable
CommutingProbability
Complement
DedekindFinite
Divisible
DoubleCoset
EckmannHilton
Exponent
Finiteness
FreeAbelianGroup
Index
IndexNormal
NoncommPiCoprod
OrderOfElement
PGroup
PresentedGroup
Rank
SemidirectProduct
Solvable
Sylow
Torsion
Lean
Elab
Tactic
Meta
InfoTree
Term
Expr
Basic
ExtraRecognizers
Rat
MessageData
Trace
Meta (
file
)
RefinedDiscrTree (
file
)
Basic
Encode
Initialize
Lookup
Tactic
Rewrite
Basic
CongrTheorems
KAbstractPositions
Simp
PrettyPrinter
Delaborator
ContextInfo
Environment
GoalsLocation
Linter
Name
LinearAlgebra
AffineSpace
AffineSubspace
Basic
Defs
Simplex
Basic
Centroid
AffineEquiv
AffineMap
Basis
Centroid
Combination
Defs
FiniteDimensional
Independent
Midpoint
Ordered
Pointwise
Restrict
Slope
Alternating
Basic
Curry
Basis
Basic
Bilinear
Cardinality
Defs
Fin
MulOpposite
Prod
SMul
Submodule
VectorSpace
BilinearForm
Basic
DualLattice
Hom
Properties
Charpoly
BaseChange
Basic
ToMatrix
Complex
Determinant
FiniteDimensional
Module
Orientation
Dimension
Basic
Constructions
DivisionRing
ErdosKaplansky
Finite
Finrank
Free
FreeAndStrongRankCondition
LinearMap
Localization
OrzechProperty
RankNullity
StrongRankCondition
Subsingleton
DirectSum
Finite
Finsupp
TensorProduct
Dual
BaseChange
Basis
Defs
Lemmas
Eigenspace
Basic
Charpoly
ContinuousLinearMap
Matrix
Minpoly
FiniteDimensional
Basic
Defs
Lemmas
Finsupp
Defs
LSum
LinearCombination
Pi
Span
SumProd
Supported
VectorSpace
FreeModule
Finite
Basic
CardQuotient
Matrix
Quotient
Basic
Determinant
PID
StrongRankCondition
GeneralLinearGroup
AlgEquiv
Basic
LinearIndependent
Basic
Defs
Lemmas
Matrix
Charpoly
Basic
Coeff
Disc
Eigs
LinearMap
Minpoly
Determinant
Basic
GeneralLinearGroup
Basic
Defs
FinTwo
Projective
Action
Adjugate
BaseChange
Basis
BilinearForm
Block
ConjTranspose
Defs
Diagonal
DotProduct
Dual
FiniteDimensional
FixedDetMatrices
Hadamard
Hermitian
Ideal
Integer
InvariantBasisNumber
Invertible
IsDiag
Kronecker
MvPolynomial
Nondegenerate
NonsingularInverse
Notation
Orthogonal
Permutation
Polynomial
PosDef
ProjectiveSpecialLinearGroup
Rank
Reindex
RowCol
SchurComplement
SemiringInverse
SesquilinearForm
SpecialLinearGroup
StdBasis
Stochastic
Swap
Symmetric
ToLin
ToLinearEquiv
Trace
Transvection
Vec
ZPow
Multilinear
Basic
Basis
Curry
DFinsupp
Finsupp
PerfectPairing
Basic
Restrict
Projectivization
Action
Basic
Cardinality
Independence
QuadraticForm
Basic
Quotient
Basic
Card
Defs
Pi
RootSystem
Defs
IsValuedIn
OfBilinear
Reduced
SModEq
Basic
Pointwise
SesquilinearForm
Basic
Span
Basic
Defs
TensorProduct
TensorAlgebra
Basic
TensorProduct
Associator
Basic
Basis
Defs
DirectLimit
Finiteness
Map
Matrix
Opposite
Pi
Prod
Quotient
RightExactness
Submodule
Tower
Vanishing
Transvection
Basic
AnnihilatingPolynomial
BilinearMap
Center
Coevaluation
Contraction
CrossProduct
DFinsupp
Determinant
FiniteSpan
FixedSubmodule
InvariantBasisNumber
Isomorphisms
Lagrange
LinearDisjoint
LinearPMap
Orientation
Pi
Prod
Projection
Ray
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TopCat
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Basic
Konig
Products
Pullbacks
Adjunctions
Basic
EpiMono
OpenNhds
Opens
Compactification
OnePoint
Basic
ProjectiveLine
StoneCech
Compactness
Bases
Compact
CompactSystem
CompactlyCoherentSpace
Lindelof
LocallyCompact
LocallyFinite
NhdsKer
Paracompact
SigmaCompact
Connected
Basic
Clopen
LocPathConnected
LocallyConnected
PathConnected
TotallyDisconnected
Constructions (
file
)
SumProd
ContinuousMap
Bounded
Basic
Normed
Star
Algebra
Basic
CocompactMap
Compact
CompactlySupported
ContinuousMapZero
ContinuousSqrt
Defs
Ideals
Lattice
Ordered
Periodic
Polynomial
SecondCountableSpace
Star
StarOrdered
StoneWeierstrass
T0Sierpinski
Units
Weierstrass
ZeroAtInfty
Covering
AddCircle
Basic
Quotient
Defs
Basic
Filter
Induced
Sequences
Ultrafilter
EMetricSpace
Basic
BoundedVariation
Defs
Diam
Lipschitz
Paracompact
Pi
FiberBundle
Basic
Constructions
IsHomeomorphicTrivialBundle
Trivialization
GDelta
Basic
MetrizableSpace
Hom
ContinuousEval
ContinuousEvalConst
Homeomorph
Defs
Lemmas
Quotient
TransferInstance
Homotopy
Basic
Contractible
Equiv
HomotopyGroup
Path
Product
Instances
AddCircle
Defs
DenseSubgroup
Real
ENNReal
Lemmas
EReal
Lemmas
NNReal
Lemmas
Real
Lemmas
Discrete
ENat
Int
Matrix
Nat
Rat
RealVectorSpace
Shrink
Sign
ZMultiples
LocallyConstant
Basic
Maps
Proper
Basic
CompactlyGenerated
Strict
Basic
Basic
OpenQuotient
MetricSpace
ProperSpace (
file
)
Lemmas
Real
Pseudo
Basic
Constructions
Defs
Lemmas
Pi
Real
Ultra
Basic
Algebra
Antilipschitz
Basic
Bounded
CantorScheme
CauSeqFilter
Cauchy
Completion
Contracting
Defs
Dilation
DilationEquiv
Equicontinuity
Gluing
HausdorffDimension
HausdorffDistance
Holder
IsometricSMul
Isometry
Lipschitz
MetricSeparated
PartitionOfUnity
Perfect
PiNat
Polish
Sequences
ThickenedIndicator
Thickening
TransferInstance
UniformConvergence
Metrizable
Basic
CompletelyMetrizable
Real
Uniformity
Urysohn
OpenPartialHomeomorph
Basic
Composition
Constructions
Continuity
Defs
IsImage
Order (
file
)
AtTopBotIxx
Basic
Bornology
Compact
DenselyOrdered
ExtendFrom
ExtrClosure
IntermediateValue
IsLUB
IsLocallyClosed
IsNormal
Lattice
LeftRight
LeftRightLim
LeftRightNhds
LiminfLimsup
LocalExtr
LowerUpperTopology
Monotone
MonotoneContinuity
MonotoneConvergence
OrderClosed
ProjIcc
Real
Rolle
ScottTopology
SuccPred
T5
UpperLowerSetTopology
WithTop
PartialHomeomorph
Defs
Semicontinuity
Basic
Defs
Hemicontinuity
Separation
Basic
CompletelyRegular
CountableSeparatingOn
GDelta
Hausdorff
Regular
SeparatedNhds
Sets
Closeds
Compacts
OpenCover
Opens
Sheaves
SheafCondition
OpensLeCover
PairwiseIntersections
Sites
UniqueGluing
Forget
Functors
Init
LocallySurjective
PUnit
Presheaf
Sheaf
Skyscraper
Stalks
Spectral
Basic
Hom
Prespectral
UniformSpace
AbstractCompletion
Ascoli
Basic
Cauchy
Compact
CompactConvergence
CompleteSeparated
Completion
Defs
DiscreteUniformity
Equicontinuity
Equiv
HeineCantor
LocallyUniformConvergence
Matrix
OfFun
Pi
Real
Separation
UniformApproximation
UniformConvergence
UniformConvergenceTopology
UniformEmbedding
VectorBundle
Basic
Constructions
AlexandrovDiscrete
Bases
Basic
Clopen
Closure
ClusterPt
Coherent
CompactOpen
Constructible
Continuous
ContinuousOn
DenseEmbedding
DerivedSet
DiscreteSubset
ExtendFrom
IndicatorConstPointwise
Inseparable
Irreducible
IsClosedRestrict
IsLocalHomeomorph
KrullDimension
LocalAtTarget
LocallyClosed
LocallyFinite
LocallyFinsupp
Neighborhoods
NhdsKer
NhdsSet
NhdsWithin
NoetherianSpace
PartitionOfUnity
Path
Perfect
Piecewise
QuasiSeparated
SeparatedMap
Sequences
ShrinkingLemma
Sober
TietzeExtension
Ultrafilter
UnitInterval
UrysohnsBounded
UrysohnsLemma
WithTopology
Util
AtomM (
file
)
Recurse
AddRelatedDecl
AtLocation
CompileInductive
CountHeartbeats
DelabNonCanonical
Delaborators
DischargerAsTactic
ElabWithoutMVars
Notation3
PPOptions
ParseCommand
PrintSorries
Qq
Superscript
SynthesizeUsing
Tactic
TermReduce
TransImports
WhatsNew
WithWeakNamespace
Init
Plausible (
file
)
Arbitrary
ArbitraryFueled
Attr
DeriveArbitrary
DeriveShrinkable
Functions
Gen
Random
Sampleable
Shrinkable
Tactic
Testable
ProofWidgets
Component
Basic
FilterDetails
MakeEditLink
OfRpcMethod
Data
Html
Cancellable
Compat
Util
Qq (
file
)
ForLean
Do
ReduceEval
ToExpr
AssertInstancesCommute
Commands
Delab
Macro
Match
MatchImpl
MetaM
Simp
SortLocalDecls
Typ
Std (
file
)
Async (
file
)
Basic
ContextAsync
DNS
IO
Process
Select
Signal
System
TCP
Timer
UDP
Data (
file
)
DHashMap (
file
)
Internal
AssocList
Basic
Iterator
Lemmas
Defs
HashesTo
Index
Model
Raw
RawLemmas
WF
AdditionalOperations
Basic
DecidableEquiv
Iterator
IteratorLemmas
Lemmas
Raw
RawDecidableEquiv
RawDef
RawLemmas
DTreeMap (
file
)
Internal
WF
Defs
Lemmas
Balanced
Balancing
Cell
Def
Lemmas
Model
Operations
Ordered
Queries
Zipper
Raw (
file
)
AdditionalOperations
Basic
DecidableEquiv
Iterator
Lemmas
Slice
WF
AdditionalOperations
Basic
DecidableEquiv
Iterator
Lemmas
Slice
ExtDHashMap (
file
)
Basic
Lemmas
ExtDTreeMap (
file
)
Basic
Lemmas
ExtHashMap (
file
)
Basic
Lemmas
ExtHashSet (
file
)
Basic
Lemmas
ExtTreeMap (
file
)
Basic
Lemmas
ExtTreeSet (
file
)
Basic
Lemmas
HashMap (
file
)
AdditionalOperations
Basic
DecidableEquiv
Iterator
IteratorLemmas
Lemmas
Raw
RawDecidableEquiv
RawLemmas
HashSet (
file
)
Basic
DecidableEquiv
Iterator
IteratorLemmas
Lemmas
Raw
RawDecidableEquiv
RawLemmas
Internal
List
Associative
Defs
Cut
Iterators (
file
)
Combinators (
file
)
Monadic (
file
)
Drop
DropWhile
StepSize
TakeWhile
Zip
Drop
DropWhile
StepSize
TakeWhile
Zip
Consumers (
file
)
Monadic (
file
)
Set
Set
Lemmas (
file
)
Combinators (
file
)
Monadic (
file
)
Drop
DropWhile
FilterMap
TakeWhile
Zip
Drop
DropWhile
TakeWhile
Zip
Consumers (
file
)
Monadic (
file
)
Collect
Loop
Set
Collect
Loop
Set
Equivalence (
file
)
Basic
HetT
StepCongr
Producers (
file
)
Monadic (
file
)
Array
Empty
List
Vector
Array
Empty
Range
Repeat
Slice
Vector
Monadic
Producers (
file
)
Monadic (
file
)
Array
Empty
Vector
Array
Empty
Range
Repeat
Slice
Vector
String (
file
)
ToInt
ToNat
TreeMap (
file
)
Raw (
file
)
AdditionalOperations
Basic
DecidableEquiv
Iterator
Lemmas
Slice
WF
AdditionalOperations
Basic
DecidableEquiv
Iterator
Lemmas
Slice
TreeSet (
file
)
Raw (
file
)
Basic
DecidableEquiv
Iterator
Lemmas
Slice
WF
AdditionalOperations
Basic
DecidableEquiv
Iterator
Lemmas
Slice
ByteSlice
Do (
file
)
Internal (
file
)
Ensures (
file
)
Def
Lemmas
SPred (
file
)
Notation (
file
)
Basic
DerivedLaws
Laws
SPred
SVal
Triple (
file
)
Basic
SpecLemmas
WP (
file
)
Basic
Monad
SimpLemmas
Sound
PostCond
PredTrans
Http (
file
)
Data (
file
)
Body (
file
)
Any
Basic
Empty
Full
Length
Stream
Headers (
file
)
Basic
Name
Value
URI (
file
)
Basic
Config
Encoding
Parser
Chunk
Extensions
Method
Request
Response
Status
Version
Internal (
file
)
Char
ChunkedBuffer
Encode
IndexMultiMap
LowerCase
String
Protocol
H1 (
file
)
Config
Error
Event
Message
Parser
Reader
Writer
Server (
file
)
Config
Connection
Handler
Test
Helpers
Transport
Internal (
file
)
Do (
file
)
Order
Basic
Frame
Lemmas
Triple (
file
)
Basic
Gadget
SpecLemmas
WP (
file
)
Basic
Lemmas
Assertion
ExceptPost
PredTrans
Parsec (
file
)
Basic
ByteArray
String
UV (
file
)
DNS
Loop
Signal
System
TCP
Timer
UDP
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
)
Barrier
Basic
Broadcast
CancellationContext
CancellationToken
Channel
Mutex
Notify
RecursiveMutex
Semaphore
SharedMutex
StreamMap
Tactic (
file
)
BVDecide (
file
)
Bitblast (
file
)
BVExpr (
file
)
Circuit (
file
)
Impl (
file
)
Operations
Add
Append
Clz
Cpop
Eq
Extract
GetLsbD
Mul
Neg
Not
Replicate
Reverse
RotateLeft
RotateRight
ShiftLeft
ShiftRight
Sub
Udiv
Ult
Umod
ZeroExtend
Carry
Const
Expr
Pred
Substructure
Var
Lemmas (
file
)
Operations
Add
Append
Clz
Cpop
Eq
Extract
GetLsbD
Mul
Neg
Not
Replicate
Reverse
RotateLeft
RotateRight
ShiftLeft
ShiftRight
Sub
Udiv
Ult
Umod
ZeroExtend
Basic
Carry
Const
Expr
Pred
Var
Basic
BoolExpr (
file
)
Basic
LRAT (
file
)
Internal
Formula (
file
)
Class
Implementation
Instance
Lemmas
RatAddResult
RatAddSound
RupAddResult
RupAddSound
Actions
Assignment
CNF
Clause
CompactLRATChecker
CompactLRATCheckerSound
Convert
Entails
LRATChecker
LRATCheckerSound
PosFin
Actions
Checker
Parser
Normalize (
file
)
BitVec
Bool
Canonicalize
Equal
Prop
Reflect
Syntax
Do (
file
)
ProofMode
Syntax
Time (
file
)
Date (
file
)
Unit
Basic
Day
Month
Week
Weekday
Year
Basic
PlainDate
ValidDate
DateTime (
file
)
PlainDateTime
Timestamp
WallTime
Format (
file
)
Basic
DateFormat
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
TimeZone
ZoneRules
Duration
Color scheme
dark
system
light