General documentation

index
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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
FinRange
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
HepLean (file)
AnomalyCancellation
MSSMNu
OrthogY3B3
Basic
PlaneWithY3B3
ToSols
B3
Basic
HyperCharge
LineY3B3
Permutations
Y3
PureU1
Even
BasisLinear
LineInCubic
Parameterization
LowDim
One
Three
Two
Odd
BasisLinear
LineInCubic
Parameterization
Basic
BasisLinear
ConstAbs
LineInPlaneCond
Permutations
Sorts
VectorLike
SM
NoGrav
One
Lemmas
LinearParameterization
Basic
Basic
FamilyMaps
Permutations
SMNu
NoGrav
Basic
Ordinary
Basic
DimSevenPlane
FamilyMaps
PlusU1
BMinusL
Basic
BoundPlaneDim
FamilyMaps
HyperCharge
PlaneNonSols
QuadSol
QuadSolToSol
Basic
FamilyMaps
Permutations
Basic
GroupActions
BeyondTheStandardModel
GeorgiGlashow
Basic
PatiSalam
Basic
Spin10
Basic
TwoHDM
Basic
GaugeOrbits
FlavorPhysics
CKMMatrix
StandardParameterization
Basic
StandardParameters
Basic
Invariants
PhaseFreedom
Relations
Rows
Lorentz
Algebra
Basic
Basis
ComplexTensor
Bispinors
Basic
Metrics
Basic
Basis
Lemmas
PauliMatrices
Basic
Basis
CoContractContr
Units
Basic
Symm
Basic
Basis
Lemmas
ComplexVector
Basic
Contraction
Metric
Modules
Two
Unit
Group
Basic
Boosts
Orthochronous
Proper
Restricted
Rotations
PauliMatrices
AsTensor
Basic
SelfAdjoint
RealVector
Basic
Contraction
Modules
NormOne
SL2C
Basic
Weyl
Basic
Contraction
Metric
Modules
Two
Unit
MinkowskiMatrix
Mathematics
SO3
Basic
SuperAlgebra
Basic
Fin
LinearMaps
List
PiTensorProduct
Meta
Informal
Basic
Post
Notes
Basic
HTMLNote
NoteFile
ToHTML
AllFilePaths
Basic
TransverseTactics
PerturbationTheory
Contractions
Basic
Involutions
FeynmanDiagrams
Instances
ComplexScalar
Phi4
Basic
Momentum
Wick
Signs
InsertSign
KoszulSign
KoszulSignInsert
StaticWickCoef
SuperCommuteCoef
CreateAnnihilateSection
KoszulOrder
OfList
OperatorMap
StaticTheorem
SuperCommute
FieldStatistics
SpaceTime
Basic
CliffordAlgebra
StandardModel
HiggsBoson
Basic
GaugeAction
PointwiseInnerProd
Potential
Basic
Representations
Tensors
OverColor
Basic
Discrete
Functors
Iso
Lift
TensorSpecies
Contractions
Basic
Categorical
ContrMap
Basic
DualRepIso
MetricTensor
Pure
UnitTensor
Tree
NodeIdentities
Assoc
Basic
Congr
ContrContr
ContrSwap
PermContr
PermProd
ProdAssoc
ProdComm
ProdContr
Basic
Dot
Elab
ImportGraph
Imports
RequiredModules
Init (file)
Control (file)
Lawful (file)
Basic
Instances
Basic
EState
Except
ExceptCps
Id
Option
Reader
State
StateCps
StateRef
Data (file)
Array (file)
Subarray (file)
Split
Attach
Basic
BasicAux
BinSearch
Bootstrap
DecidableEq
GetLit
InsertionSort
Lemmas
MapIdx
Mem
QSort
TakeDrop
BitVec (file)
Basic
BasicAux
Bitblast
Folds
Lemmas
ByteArray (file)
Basic
Char (file)
Basic
Lemmas
Fin (file)
Basic
Bitwise
Fold
Iterate
Lemmas
Log2
FloatArray (file)
Basic
Format (file)
Basic
Instances
Macro
Syntax
Int (file)
Bitwise (file)
Lemmas
Basic
DivMod
DivModLemmas
Gcd
Lemmas
LemmasAux
Order
Pow
List (file)
Nat (file)
BEq
Basic
Count
Erase
Find
Modify
Pairwise
Range
Sublist
TakeDrop
Sort (file)
Basic
Impl
Lemmas
Attach
Basic
BasicAux
Control
Count
Erase
Find
Impl
Lemmas
MapIdx
MinMax
Monadic
Notation
Pairwise
Perm
Range
Sublist
TakeDrop
ToArray
Zip
Nat (file)
Bitwise (file)
Basic
Lemmas
Basic
Compare
Control
Div
Dvd
Gcd
Lcm
Lemmas
Linear
Log2
MinMax
Mod
Power2
SOM
Simproc
Option (file)
Attach
Basic
BasicAux
Instances
Lemmas
List
SInt (file)
Basic
String (file)
Basic
Extra
Lemmas
Sum (file)
Basic
Lemmas
ToString (file)
Basic
Macro
UInt (file)
Basic
BasicAux
Bitwise
Lemmas
Log2
AC
BEq
Basic
Bool
Cast
Channel
Float
Function
Hashable
NeZero
OfScientific
Ord
PLift
Prod
Queue
Random
Range
Repr
Stream
Subtype
ULift
Zero
Grind (file)
Cases
Lemmas
Norm
Tactics
Omega (file)
Coeffs
Constraint
Int
IntList
LinearCombo
Logic
System (file)
FilePath
IO
IOError
Mutex
Platform
Promise
ST
Uri
BinderPredicates
ByCases
Classical
Coe
Conv
Core
Dynamic
Ext
GetElem
Guard
Hints
MacroTrace
Meta
MetaTypes
Notation
NotationExtra
Prelude
PropLemmas
RCases
ShareCommon
SimpLemmas
Simproc
SizeOf
SizeOfLemmas
Tactics
TacticsExtra
Util
WF
WFTactics
While
Lake (file)
Build (file)
Actions
Basic
Common
Data
Executable
Facets
Fetch
Imports
Index
Info
Job
Key
Library
Module
Package
Run
Store
Targets
Topological
Trace
CLI
Actions
Build
Error
Config (file)
Context
Defaults
Dependency
Env
ExternLib
ExternLibConfig
FacetConfig
Glob
InstallPath
LeanConfig
LeanExe
LeanExeConfig
LeanLib
LeanLibConfig
Module
Monad
Opaque
Package
Script
TargetConfig
Workspace
WorkspaceConfig
DSL (file)
Attributes
AttributesCore
Config
DeclUtil
Extensions
Meta
Package
Require
Script
Targets
Load
Config
Toml (file)
Data
DateTime
Dict
Value
Elab (file)
Expression
Value
Grammar
Load
ParserUtil
Util
Binder
Casing
Compare
Cycle
DRBMap
Date
EStateT
EquipT
Error
Exit
Family
FilePath
Git
IO
JsonObject
Lift
List
Lock
Log
Message
Name
NativeLib
Opaque
OrdHashSet
OrderedTagAttribute
Proc
RBArray
Store
StoreInsts
Sugar
Task
Version
Reservoir
Version
Lean (file)
Compiler (file)
IR (file)
Basic
Borrow
Boxing
Checker
CompilerM
CtorLayout
ElimDeadBranches
ElimDeadVars
EmitC
EmitUtil
ExpandResetReuse
Format
FreeVars
LiveVars
NormIds
PushProj
RC
ResetReuse
SimpCase
Sorry
UnboxResult
LCNF (file)
Simp (file)
Basic
Config
ConstantFold
DefaultAlt
DiscrM
FunDeclInfo
InlineCandidate
InlineProj
JpCases
Main
SimpM
SimpValue
Used
AlphaEqv
AuxDeclCache
BaseTypes
Basic
Bind
CSE
Check
Closure
CompatibleTypes
CompilerM
ConfigOptions
DeclHash
DependsOn
ElimDead
ElimDeadBranches
FVarUtil
FixedParams
FloatLetIn
ForEachExpr
InferType
Internalize
JoinPoints
LCtx
LambdaLifting
Level
Main
MonadScope
MonoTypes
OtherDecl
PassManager
Passes
PhaseExt
PrettyPrinter
PullFunDecls
PullLetDecls
ReduceArity
ReduceJpArity
Renaming
ScopeM
SpecInfo
Specialize
Testing
ToDecl
ToExpr
ToLCNF
ToMono
Types
Util
AtMostOnce
BorrowedAnnotation
CSimpAttr
ClosedTermCache
ConstFolding
ExportAttr
ExternAttr
FFI
ImplementedByAttr
InitAttr
InlineAttrs
Main
NameMangling
NeverExtractAttr
NoncomputableAttr
Old
Options
Specialize
Data (file)
Json (file)
Basic
Elab
FromToJson
Parser
Printer
Stream
Lsp (file)
Basic
Capabilities
Client
CodeActions
Communication
Diagnostics
Extra
InitShutdown
Internal
Ipc
LanguageFeatures
TextSync
Utf16
Workspace
Xml (file)
Basic
Parser
Array
AssocList
Format
FuzzyMatching
HashMap
HashSet
JsonRpc
KVMap
LBool
LOption
Name
NameMap
NameTrie
OpenDecl
Options
PersistentArray
PersistentHashMap
PersistentHashSet
Position
PrefixTree
RBMap
RBTree
Rat
SMap
SSet
Trie
DocString (file)
Extension
Elab (file)
Deriving (file)
BEq
Basic
DecEq
FromToJson
Hashable
Inhabited
Nonempty
Ord
Repr
SizeOf
TypeName
Util
InfoTree (file)
Main
Types
PreDefinition (file)
Nonrec
Eqns
Structural (file)
BRecOn
Basic
Eqns
FindRecArg
IndGroupInfo
IndPred
Main
Preprocess
RecArgInfo
SmartUnfolding
WF (file)
Basic
Eqns
Fix
GuessLex
Ite
Main
PackMutual
Preprocess
Rel
Basic
EqUnfold
Eqns
Main
MkInhabitant
TerminationArgument
TerminationHint
Quotation (file)
Precheck
Util
Tactic (file)
BVDecide (file)
Frontend (file)
BVDecide (file)
Reflect
ReifiedBVExpr
ReifiedBVLogical
ReifiedBVPred
ReifiedLemmas
Reify
SatAtBVLogical
Attr
BVCheck
BVTrace
LRAT
Normalize
LRAT (file)
Trim
External
Conv (file)
Basic
Change
Congr
Delta
Pattern
Rewrite
Simp
Unfold
Omega (file)
Core
Frontend
MinNatAbs
OmegaM
Basic
BoolToPropSimps
BuiltinTactic
Cache
Calc
Change
Classical
Config
Congr
Delta
DiscrTreeKey
Doc
ElabTerm
Ext
FalseOrByContra
Generalize
Guard
Induction
Injection
LibrarySearch
Location
Match
Meta
NormCast
RCases
Repeat
Rewrite
Rewrites
Rfl
ShowTerm
Simp
SimpTrace
Simpa
Simproc
SolveByElim
Split
Symm
Unfold
App
Arg
Attributes
AutoBound
AuxDef
BinderPredicates
Binders
BindersUtil
BuiltinCommand
BuiltinEvalCommand
BuiltinNotation
BuiltinTerm
Calc
CheckTactic
Command
ComputedFields
Config
DeclModifiers
DeclNameGen
DeclUtil
Declaration
DeclarationRange
DefView
Do
ElabRules
Eval
Exception
Extra
Frontend
GenInjective
GuardMsgs
Import
Inductive
InheritDoc
LetRec
Level
Macro
MacroArgUtil
MacroRules
Match
MatchAltView
MatchExpr
Mixfix
MutualDef
Notation
Open
ParseImportsFast
PatternVar
Print
RecAppSyntax
SetOption
StructInst
Structure
Syntax
SyntheticMVars
Term
Time
Util
Language
Lean (file)
Types
Basic
Linter (file)
Basic
Builtin
ConstructorAsVariable
Deprecated
MissingDocs
Omit
UnusedVariables
Util
Meta (file)
ArgsPacker (file)
Basic
Constructions (file)
BRecOn
CasesOn
NoConfusion
RecOn
Match (file)
MatcherApp
Basic
Transform
Basic
CaseArraySizes
CaseValues
Match
MatchEqs
MatchEqsExt
MatchPatternAttr
MatcherInfo
Value
Tactic (file)
AC (file)
Main
Grind (file)
Attr
Cases
Core
Injection
Preprocessor
RevertAll
Types
Util
LinearArith (file)
Nat (file)
Basic
Simp
Solver
Basic
Main
Simp
Solver
Simp (file)
BuiltinSimprocs (file)
Array
BitVec
Char
Core
Fin
Int
List
Nat
String
UInt
Util
Attr
Diagnostics
Main
RegisterCommand
Rewrite
SimpAll
SimpCongrTheorems
SimpTheorems
Simproc
Types
Acyclic
Apply
Assert
Assumption
AuxLemma
Backtrack
Cases
Cleanup
Clear
Congr
Constructor
Contradiction
Delta
ElimInfo
FVarSubst
FunInd
Generalize
IndependentOf
Induction
Injection
Intro
LibrarySearch
NormCast
Refl
Rename
Repeat
Replace
Revert
Rewrite
Rewrites
Rfl
SolveByElim
Split
SplitIf
Subst
Symm
TryThis
Unfold
UnifyEq
Util
ACLt
AbstractMVars
AbstractNestedProofs
AppBuilder
Basic
Canonicalizer
Check
CheckTactic
Closure
Coe
CoeAttr
CollectFVars
CollectMVars
CompletionName
CongrTheorems
CtorRecognizer
DecLevel
Diagnostics
DiscrTree
DiscrTreeTypes
Eqns
Eval
ExprDefEq
ExprLens
ExprTraverse
ForEachExpr
FunInfo
GeneralizeTelescope
GeneralizeVars
GetUnfoldableConst
GlobalInstances
IndPredBelow
Inductive
InferType
Injective
Instances
Iterator
KAbstract
KExprMap
LazyDiscrTree
LevelDefEq
LitValues
MatchUtil
NatInstTesters
Offset
PPGoal
PProdN
RecursorInfo
Reduce
ReduceEval
SizeOf
Structure
SynthInstance
Transform
TransparencyMode
UnificationHint
WHNF
Parser (file)
Tactic (file)
Doc
Attr
Basic
Command
Do
Extension
Extra
Level
Module
StrInterpolation
Syntax
Term
Types
ParserCompiler (file)
Attribute
PrettyPrinter (file)
Delaborator (file)
Attributes
Basic
Builtins
FieldNotation
Options
SubExpr
TopDownAnalyze
Basic
Formatter
Parenthesizer
Server (file)
CodeActions (file)
Attr
Basic
Provider
FileWorker (file)
RequestHandling
SetupFile
Utils
WidgetRequests
Rpc (file)
Basic
Deriving
RequestHandling
AsyncList
Completion
CompletionItemData
FileSource
GoTo
ImportCompletion
InfoUtils
References
Requests
Snapshots
Utils
Watchdog
Util (file)
CollectAxioms
CollectFVars
CollectLevelMVars
CollectLevelParams
CollectMVars
Diff
FileSetupInfo
FindExpr
FindLevelMVar
FindMVar
FoldConsts
ForEachExpr
ForEachExprWhere
HasConstCache
Heartbeats
InstantiateLevelParams
LakePath
LeanOptions
MonadBacktrack
MonadCache
NumApps
NumObjs
OccursCheck
PPExt
Path
Paths
Profile
Profiler
PtrSet
RecDepth
Recognizers
ReplaceExpr
ReplaceLevel
SCC
SafeExponentiation
SearchPath
ShareCommon
Sorry
TestExtern
Trace
Widget (file)
Basic
Diff
InteractiveCode
InteractiveDiagnostic
InteractiveGoal
TaggedText
Types
UserWidget
AddDecl
Attributes
AuxRecursor
BuiltinDocAttr
Class
CoreM
Declaration
DeclarationRange
Environment
Exception
Expr
HeadIndex
Hygiene
ImportingFlag
InternalExceptionId
KeyedDeclsAttribute
LabelAttribute
Level
LoadDynlib
LocalContext
Log
Message
MetavarContext
Modifiers
MonadEnv
ProjFns
ReducibilityAttrs
Replay
ReservedNameAction
ResolveName
Runtime
ScopedEnvExtension
Structure
SubExpr
Syntax
ToExpr
LeanSearchClient (file)
Basic
LoogleSyntax
Syntax
Mathlib
Algebra
Algebra
Hom (file)
Rat
Subalgebra
Basic
Directed
Operations
Pointwise
Prod
Tower
Basic
Bilinear
Defs
Equiv
Field
NonUnitalHom
NonUnitalSubalgebra
Operations
Opposite
Pi
Prod
Rat
RestrictScalars
Spectrum
Tower
ZMod
Associated
Basic
BigOperators
Group
Finset
List
Multiset
GroupWithZero
Action
Finset
Ring (file)
List
Multiset
Nat
Associated
Balance
Expect
Fin
Finprod
Finsupp
Intervals
Module
NatAntidiagonal
Option
Pi
RingEquiv
WithTop
Category
Grp
Basic
Colimits
ForgetCorepresentable
Limits
Preadditive
ModuleCat
Monoidal
Basic
Symmetric
Adjunctions
Basic
Colimits
Limits
MonCat
Basic
Limits
Ring
Basic
Colimits
Constructions
Instances
Limits
CharP
Algebra
Basic
Defs
Invertible
Lemmas
Quotient
Reduced
Two
CharZero
Defs
Infinite
Lemmas
Quotient
DirectSum
Algebra
Basic
Decomposition
Finsupp
Internal
Module
Ring
Divisibility
Basic
Hom
Prod
Units
EuclideanDomain
Basic
Defs
Field
Int
Field
Subfield
Basic
Defs
Basic
Defs
Equiv
IsField
Opposite
Rat
FreeMonoid
Basic
GCDMonoid
Basic
Finset
IntegrallyClosed
Multiset
Nat
Group
Action
Basic
Defs
End
Faithful
Opposite
Pi
Pretransitive
Prod
TypeTags
Units
Commute
Basic
Defs
Hom
Units
Equiv
Basic
TypeTags
Fin
Basic
Tuple
Hom
Basic
CompTypeclasses
Defs
End
Instances
Invertible
Basic
Defs
Nat
Basic
Even
Units
Pi
Basic
Lemmas
Pointwise
Finset
Basic
Set
Basic
BigOperators
Card
Finite
ListOfFn
Semiconj
Basic
Defs
Units
Subgroup
ZPowers
Basic
Lemmas
Actions
Basic
Defs
Finite
Ker
Lattice
Map
MulOpposite
MulOppositeLemmas
Order
Pointwise
Submonoid
Basic
Defs
DistribMulAction
Membership
MulOpposite
Operations
Pointwise
Subsemigroup
Basic
Defs
Membership
Operations
TypeTags
Basic
Finite
Hom
UniqueProds
Basic
Units
Basic
Defs
Equiv
Hom
Opposite
WithOne
Defs
AddChar
Aut
Basic
Center
Commutator
Conj
Defs
Embedding
Even
Ext
FiniteSupport
Graph
Indicator
InjSurj
Int
NatPowAssoc
Operations
Opposite
Prod
Support
ULift
ZeroOne
GroupPower
IterateHom
GroupWithZero
Action
Basic
Defs
End
Opposite
Pi
Prod
Units
Units
Basic
Equiv
Lemmas
Basic
Center
Commute
Defs
Divisibility
Hom
Indicator
InjSurj
Invertible
Nat
NeZero
NonZeroDivisors
Opposite
Pi
Prod
Semiconj
ULift
WithZero
Lie
Abelian
Basic
Classical
IdealOperations
Matrix
OfAssociative
SkewAdjoint
Subalgebra
Submodule
Module
Equiv
Basic
Defs
Opposite
LinearMap
Basic
Defs
End
Prod
Rat
Star
LocalizedModule
Basic
IsLocalization
Submodule
Submodule
Basic
Bilinear
Defs
EqLocus
Equiv
Invariant
IterateMapComap
Ker
Lattice
LinearMap
Map
Pointwise
Range
RestrictScalars
ZLattice
Basic
Covolume
Basic
BigOperators
Defs
End
Hom
MinimalAxioms
NatInt
Opposite
Pi
Prod
Projective
Rat
RingHom
Torsion
ULift
ZMod
MonoidAlgebra
Basic
Defs
Degree
Division
NoZeroDivisors
Support
MvPolynomial
Basic
CommRing
Degrees
Equiv
Rename
Variables
NoZeroSMulDivisors
Basic
Defs
Pi
Order
Antidiag
Prod
Archimedean
Basic
BigOperators
Group
Finset
List
Multiset
Ring
Finset
List
Multiset
Expect
CauSeq
Basic
BigOperators
Completion
Field
Canonical
Basic
Defs
Basic
Defs
InjSurj
Pointwise
Power
Rat
Group
Pointwise
Bounds
Interval
Unbundled
Abs
Basic
Int
Abs
Action
Basic
Defs
DenselyOrdered
Indicator
InjSurj
Instances
Lattice
MinMax
Nat
OrderIso
PiLex
PosPart
Synonym
TypeTags
Units
GroupWithZero
Action
Synonym
Unbundled (file)
Lemmas
Canonical
Finset
Submonoid
Synonym
Hom
Basic
Monoid
Ring
Interval
Set
Group
Instances
Monoid
Finset
Module
Algebra
Defs
OrderedSMul
Pointwise
Rat
Synonym
Monoid
Canonical
Defs
Unbundled
Basic
Defs
ExistsOfLE
MinMax
OrderDual
Pow
TypeTags
WithTop
Basic
Defs
NatCast
OrderDual
Prod
TypeTags
Units
WithTop
Nonneg
Field
Floor
Ring
Positive
Ring
Ring
Unbundled
Basic
Nonneg
Rat
Abs
Basic
Canonical
Cast
Defs
InjSurj
Int
Nat
Pow
Rat
Synonym
WithTop
Star
Basic
Sub
Unbundled
Basic
Basic
Defs
WithTop
AbsoluteValue
AddGroupWithTop
EuclideanAbsoluteValue
Floor
Invertible
Kleene
Monovary
Pi
SuccPred
ToIntervalMod
ZeroLEOne
PUnitInstances
Algebra
Module
Pointwise
Stabilizer
Polynomial
Degree
Definitions
Domain
Lemmas
Monomial
Operations
SmallDegree
Support
TrailingDegree
Units
Eval
Algebra
Coeff
Defs
Degree
Irreducible
SMul
Subring
Module
AEval
Basic
AlgebraMap
Basic
BigOperators
CancelLeads
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Derivative
Div
EraseLead
Expand
FieldDivision
GroupRingAction
Identities
Inductions
Laurent
Lifts
Monic
Monomial
Reverse
RingDivision
Roots
Splits
Prime
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Lemmas
Regular
Basic
Pow
SMul
Ring
Action
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Field
Group
Invariant
Subobjects
Divisibility
Basic
Lemmas
Hom
Basic
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Int
Defs
Parity
Units
Pointwise
Set
Subring
Basic
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Pointwise
Units
Subsemiring
Basic
Defs
Pointwise
AddAut
Aut
Basic
Center
Centralizer
Commute
CompTypeclasses
Defs
Equiv
Fin
Idempotents
InjSurj
Invertible
Nat
NegOnePow
Opposite
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Pi
Prod
Rat
Regular
Semiconj
ULift
Units
Squarefree
Basic
Star
Basic
BigOperators
Center
Module
Pi
Pointwise
Prod
Rat
SelfAdjoint
StarAlgHom
StarRingHom
Subalgebra
Unitary
AddTorsor
DirectLimit
FreeAlgebra
GeomSum
GradedMonoid
IsPrimePow
ModEq
NeZero
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SMulWithZero
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CPolynomial
ChangeOrigin
Composition
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Inverse
Linear
OfScalars
Uniqueness
Within
Asymptotics
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Theta
BoxIntegral
Box
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Partition
Additive
Basic
Filter
Measure
Split
SubboxInduction
Tagged
Basic
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Integrability
CStarAlgebra
Basic
Matrix
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ContDiff
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Defs
FTaylorSeries
FaaDiBruno
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
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FDeriv
IteratedDeriv
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Lemmas
LocalExtr
Basic
Rolle
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DiffContOnCl
FormalMultilinearSeries
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TangentCone
Complex
Polynomial
Basic
Arg
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Basic
CauchyIntegral
Convex
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ReImTopology
RealDeriv
Convex
Cone
Basic
Extension
SpecificFunctions
Basic
Deriv
Basic
Between
Body
Combination
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Function
Gauge
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WithSeminorms
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Affine
AddTorsor
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Basic
InfiniteSum
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Group
AddCircle
AddTorsor
Basic
Bounded
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Constructions
Hom
InfiniteSum
Int
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NullSubmodule
Pointwise
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Rat
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Uniform
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Complex
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NNReal
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Complex
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Exp
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JapaneseBracket
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Basic
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MellinTransform
Oscillation
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CategoryTheory
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Bicategory
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Cat
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ULift
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StructuredArrow
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Basic
Over
ConcreteCategory
Basic
Bundled
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Elementwise
ReflectsIso
Filtered
Basic
FinCategory
AsType
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Const
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Hom
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Lattice
List
Option
Order
Perm
Pi
Powerset
Prod
Quotient
Sigma
Sort
Sum
Units
Vector
FunLike
Basic
Embedding
Equiv
Fintype
Int
Cast
Basic
Defs
Field
Lemmas
Prod
Order
Basic
Lemmas
Units
AbsoluteValue
Associated
Bitwise
CharZero
ConditionallyCompleteOrder
Defs
DivMod
GCD
Interval
LeastGreatest
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Log
ModEq
Notation
Sqrt
SuccPred
List
Perm
Basic
Lattice
Subperm
Basic
Chain
Count
Cycle
Dedup
Defs
Duplicate
FinRange
Flatten
Forall2
GetD
Infix
InsertIdx
Lattice
Lex
MinMax
Monad
NatAntidiagonal
Nodup
NodupEquivFin
OfFn
Pairwise
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Permutation
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Prime
ProdSigma
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Rotate
Sort
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Zip
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Basic
Bind
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NatAntidiagonal
Nodup
OrderedMonoid
Pi
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Range
Sections
Sort
Sum
Sym
NNRat
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Lemmas
Order
NNReal
Basic
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Star
Nat
Cast
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Commute
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Field
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Choose
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Dvd
Sum
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Cast
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Induction
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BigOperators
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Prime
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BinaryRec
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Find
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Pairing
PartENat
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PrimeFin
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Size
Sqrt
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SuccPred
Totient
WithBot
Option
Basic
Defs
NAry
Ordering
Basic
PNat
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Defs
Equiv
Notation
Prime
Prod
Basic
Lex
PProd
TProd
Rat
Cast
CharZero
Defs
Lemmas
Order
BigOperators
Cardinal
Defs
Encodable
Floor
Init
Lemmas
Real
Pi
Bounds
Archimedean
Basic
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EReal
Pointwise
Sqrt
Star
Set
Finite
Basic
Lattice
Lemmas
Powerset
Range
Pairwise
Basic
Lattice
Pointwise
SMul
Accumulate
Basic
BoolIndicator
Card
Constructions
Countable
Defs
Function
Functor
Image
Lattice
List
MemPartition
Monotone
NAry
Notation
Operations
Prod
Semiring
Sigma
Subset
Subsingleton
SymmDiff
UnionLift
SetLike
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Fintype
Setoid
Basic
Partition
Sigma
Basic
Lex
String
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Sum
Basic
Order
Sym
Sym2 (file)
Init
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Card
Tree
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Vector
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W
Basic
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ZMod
Aut
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IntUnitsPower
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Bracket
Bundle
Ineq
Opposite
Part
Quot
Rel
SProd
Sign
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TypeMax
ULift
Dynamics
Ergodic
MeasurePreserving
FixedPoints
Basic
Minimal
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Finite
Basic
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Basic
IntermediateField
Algebraic
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IsAlgClosed
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Minpoly
Basic
Field
IsIntegrallyClosed
MinpolyDiv
RatFunc
AsPolynomial
Basic
Defs
SplittingField
Construction
IsSplittingField
Adjoin
Extension
Finiteness
Fixed
Normal
NormalClosure
Perfect
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Geometry
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Instances
Real
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VectorBundle
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Hom
Opposite
Coset
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FreeGroup
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DomAct
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FixedPoints
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Ring
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MonoidWithZero
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Basic
OreSet
Perm
Cycle
Basic
Factors
Type
Basic
Closure
Fin
Finite
List
Option
Sign
Support
ViaEmbedding
QuotientGroup
Basic
Defs
Finite
SpecificGroups
Cyclic
Subgroup
Center
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Simple
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Centralizer
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Divisible
Exponent
Finiteness
FreeAbelianGroup
Index
OrderOfElement
PGroup
Solvable
Torsion
Lean
Elab
Tactic
Basic
Term
Expr
Basic
ExtraRecognizers
Rat
ReplaceRec
Meta (file)
Basic
CongrTheorems
Simp
PrettyPrinter
Delaborator
CoreM
EnvExtension
Name
LinearAlgebra
AffineSpace
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Midpoint
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VectorSpace
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VectorSpace
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Matrix
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AbsoluteValue
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DotProduct
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Polynomial
PosDef
Reindex
SesquilinearForm
SpecialLinearGroup
Spectrum
StdBasis
Symmetric
ToLin
ToLinearEquiv
Trace
Transvection
ZPow
Multilinear
Basic
Basis
TensorProduct
QuadraticForm
Basic
Quotient
Basic
Defs
Pi
Span
Basic
Defs
TensorProduct
Basic
Basis
Matrix
Tower
BilinearMap
Contraction
Countable
CrossProduct
DFinsupp
Determinant
Dual
GeneralLinearGroup
InvariantBasisNumber
Isomorphisms
LinearIndependent
LinearPMap
Orientation
Pi
PiTensorProduct
Prod
Projection
Ray
SModEq
SesquilinearForm
StdBasis
SymplecticGroup
Trace
UnitaryGroup
Vandermonde
Logic
Embedding
Basic
Set
Encodable
Basic
Lattice
Equiv
Basic
Defs
Embedding
Fin
Fintype
Functor
List
Nat
Option
PartialEquiv
Set
TransferInstance
Function
Basic
CompTypeclasses
Conjugate
Defs
Iterate
ULift
Nontrivial
Basic
Defs
Small
Basic
Defs
Group
List
Set
Basic
Denumerable
ExistsUnique
IsEmpty
Lemmas
Nonempty
OpClass
Pairwise
Relation
Relator
Unique
UnivLE
MeasureTheory
Constructions
BorelSpace
Basic
Complex
ContinuousLinearMap
Metric
Metrizable
Order
Real
Polish
Basic
EventuallyMeasurable
HaarToSphere
Pi
Covering
Besicovitch
BesicovitchVectorSpace
Differentiation
VitaliFamily
Decomposition
Exhaustion
Lebesgue
SignedHahn
Function
LpSeminorm
Basic
ChebyshevMarkov
CompareExp
TriangleInequality
SpecialFunctions
Basic
StronglyMeasurable
Basic
Lemmas
Lp
AEEqFun
AEEqOfIntegral
AEMeasurableOrder
AEMeasurableSequence
EssSup
Jacobian
L1Space
LocallyIntegrable
LpOrder
LpSpace
SimpleFunc
SimpleFuncDense
SimpleFuncDenseLp
Group
Action
Arithmetic
Defs
FundamentalDomain
GeometryOfNumbers
Integral
LIntegral
MeasurableEquiv
Measure
Pointwise
Prod
Integral
Asymptotics
Average
Bochner
CircleIntegral
DivergenceTheorem
DominatedConvergence
ExpDecay
FundThmCalculus
Gamma
IntegrableOn
IntegralEqImproper
IntervalIntegral
Layercake
Lebesgue
Marginal
MeanInequalities
Pi
Prod
SetIntegral
SetToL1
VitaliCaratheodory
MeasurableSpace
Basic
CountablyGenerated
Defs
Embedding
Instances
Prod
Measure
Haar
Basic
InnerProductSpace
NormedSpace
OfBasis
Unique
Lebesgue
Basic
Complex
EqHaar
Integral
VolumeOfBalls
AEDisjoint
AEMeasurable
Comap
Content
Count
Dirac
Doubling
EverywherePos
GiryMonad
MeasureSpace
MeasureSpaceDef
MutuallySingular
NullMeasurable
OpenPos
Prod
Regular
Restrict
Stieltjes
Sub
Trim
Typeclasses
WithDensity
Order
Lattice
OuterMeasure
AE
Basic
BorelCantelli
Caratheodory
Defs
Induced
OfFunction
Operations
VectorMeasure
Basic
PiSystem
NumberTheory
ClassNumber
AdmissibleAbs
AdmissibleAbsoluteValue
Finite
Cyclotomic
Basic
Discriminant
Embeddings
PID
PrimitiveRoots
Rat
Three
FLT
Basic
Three
NumberField
CanonicalEmbedding
Basic
ConvexBody
Discriminant
Basic
Defs
Units
Basic
DirichletTheorem
Basic
ClassNumber
Embeddings
FractionalIdeal
Norm
Padics
PadicVal
Basic
Defs
ArithmeticFunction
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
BigOperators
Field
Group
ModEq
Monoid
Ring
Germ
Basic
OrderedMonoid
Bases
Basic
Cofinite
CountableInter
CountableSeparatingOn
Curry
Defs
ENNReal
EventuallyConst
Extr
Finite
IndicatorFunction
Interval
Ker
Lift
NAry
Pi
Pointwise
Prod
Ring
SmallSets
Subsingleton
Tendsto
Ultrafilter
Fin
Basic
Tuple
Heyting
Basic
Hom
Basic
Bounded
CompleteLattice
Lattice
Order
Set
Interval
Finset
Basic
Defs
Fin
Nat
Set
Basic
Defs
Disjoint
Image
Infinite
Monotone
OrdConnected
OrdConnectedComponent
OrderEmbedding
OrderIso
Pi
ProjIcc
UnorderedInterval
WithBotTop
Multiset
Monotone
Basic
Monovary
Odd
Union
Partition
Finpartition
RelIso
Basic
Set
SuccPred
Archimedean
Basic
CompleteLinearOrder
Limit
Relation
UpperLower
Basic
Antichain
Antisymmetrization
Basic
BooleanAlgebra
Bounded
Chain
Circular
Closure
Compare
CompleteBooleanAlgebra
CompleteLatticeIntervals
Copy
Cover
Directed
DirectedInverseSystem
Disjoint
Disjointed
FixedPoints
GaloisConnection
InitialSeg
Iterate
JordanHolder
Lattice
LatticeIntervals
LiminfLimsup
Max
MinMax
Minimal
ModularLattice
Nat
Notation
OmegaCompletePartialOrder
OrderIsoNat
Part
PartialSups
PiLex
PropInstances
RelClasses
RelSeries
ScottContinuity
SetNotation
Sublattice
SupClosed
SupIndep
SymmDiff
Synonym
TypeTags
ULift
WellFounded
WellFoundedSet
WithBot
Zorn
ZornAtoms
Probability
ConditionalProbability
UniformOn
RepresentationTheory
Action
Basic
Concrete
Limits
Monoidal
Basic
Rep
RingTheory
AdicCompletion
Basic
Adjoin
Basic
Dimension
FG
Field
PowerBasis
Tower
Algebraic
Basic
Defs
Integral
Congruence
Basic
Defs
Opposite
Coprime
Basic
Ideal
Lemmas
DedekindDomain
AdicValuation
Basic
Dvr
Ideal
IntegralClosure
DiscreteValuationRing
Basic
TFAE
Finiteness
Basic
Bilinear
Cardinality
Defs
Finsupp
Ideal
Nakayama
Prod
Projective
Subalgebra
TensorProduct
FractionalIdeal
Basic
Norm
Operations
GradedAlgebra
Basic
Ideal
Norm
AbsNorm
Quotient
Basic
Defs
Noetherian
Operations
Basic
Basis
BigOperators
Colon
Cotangent
Defs
IsPrimary
Lattice
Maps
Maximal
Nonunits
Operations
Over
Pointwise
Prime
Prod
Span
Int
Basic
IntegralClosure
Algebra
Basic
Defs
IsIntegral
Basic
Defs
IsIntegralClosure
Basic
Defs
IntegrallyClosed
LocalProperties
Basic
IntegrallyClosed
Submodule
LocalRing
MaximalIdeal
Basic
Defs
ResidueField
Basic
Defs
RingHom
Basic
Basic
Defs
Localization
Away
Basic
AsSubring
AtPrime
BaseChange
Basic
Defs
FractionRing
Ideal
Integer
Integral
LocalizationLocalization
Module
NormTrace
NumDen
Submodule
MvPolynomial
Symmetric
Defs
Tower
Nilpotent
Basic
Defs
Lemmas
Noetherian
Basic
Defs
Orzech
UniqueFactorizationDomain
NonUnitalSubring
Basic
Defs
NonUnitalSubsemiring
Basic
Defs
Norm
Basic
Defs
OreLocalization
Basic
Ring
Polynomial
Cyclotomic
Basic
Eval
Expand
Roots
Eisenstein
Basic
IsIntegral
Basic
Content
GaussLemma
IntegralNormalization
Nilpotent
Pochhammer
Quotient
RationalRoot
ScaleRoots
Tower
UniqueFactorization
Vieta
RootsOfUnity
Basic
Complex
Minpoly
PrimitiveRoots
SimpleRing
Basic
Defs
TensorProduct
Basic
Free
Trace
Basic
Defs
TwoSidedIdeal
Basic
Kernel
Lattice
Operations
UniqueFactorizationDomain
Basic
Defs
FactorSet
Finite
GCDMonoid
Ideal
Multiplicative
Multiplicity
Nat
NormalizedFactors
Valuation
Basic
ExtendToLocalization
Integers
PrimeMultiplicity
ValuationRing
ValuationSubring
AdjoinRoot
AlgebraTower
Artinian
Bezout
ChainOfDivisors
ClassGroup
Discriminant
EisensteinCriterion
EuclideanDomain
Filtration
FinitePresentation
FiniteType
Fintype
FreeCommRing
FreeRing
IntegralDomain
IsPrimary
IsTensorProduct
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