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package coq

coq-core.clib
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coq-core.config
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coq-core.gramlib
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coq-core.interp
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coq-core.kernel
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    Monad
    
    M
    
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  - Construct
    
    CanOrd
    
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  - Cpred
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  - DPmap
    
    Monad
    
    M
    
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  - DirPath
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    CanOrd
    
    Map
    
    Monad
    
    M
    
    Smart
    
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    Map_env
    
    Monad
    
    M
    
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    Set
    
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    SyntacticOrd
    
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  - Id
    
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    Map
    
    Monad
    
    M
    
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    Pred
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  - Indmap
    
    Monad
    
    M
    
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  - Indmap_env
    
    Monad
    
    M
    
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  - KNmap
    
    Monad
    
    M
    
    Smart
    
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  - KNpred
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    Map
    
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    M
    
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  - MBId
  - MBImap
    
    Monad
    
    M
    
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  - MPmap
    
    Monad
    
    M
    
    Smart
    
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  - Mindmap
    
    Monad
    
    M
    
    Smart
    
    Unsafe
  - Mindmap_env
    
    Monad
    
    M
    
    Set
    
    Smart
    
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  - Mindset
  - ModIdmap
    
    Monad
    
    M
    
    Smart
    
    Unsafe
  - ModPath
  - MutInd
    
    CanOrd
    
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  - Name
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    CanOrd
    
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    CanOrd
    
    SyntacticOrd
    
    UserOrd
    
    SyntacticOrd
    
    UserOrd
  - QNameS
    
    CanOrd
    
    SyntacticOrd
    
    UserOrd
- Nativecode
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- Parray
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  - RedNative
    
    E
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- TransparentState
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- UGraph
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    Monad
    
    M
    
    Smart
    
    Unsafe
  - LSet
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    UGlobal
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  - Universe
    
    Map
    
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    M
    
    Smart
    
    Unsafe
  - Variance
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coq-core.lib
- AcyclicGraph
  - Make
    
    Point
    
    Map
    
    Monad
    
    M
    
    Smart
    
    Unsafe
    
    Set
  - Point
    
    Map
    
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    M
    
    Smart
    
    Unsafe
    
    Set
- Aux_file
- CAst
- CDebug
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- Control
- CoqProject_file
- DAst
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  - Make
    
    S
  - SearchProblem
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  - UUID
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    M
- Hook
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    ML
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  - Array
    
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    Smart
    
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    ExtS
    
    Monad
    
    M
    
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    Smart
    
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    MonadS
    
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  - Set
    
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    H
    
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    HashedType
    
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  - String
    
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    M
    
    Smart
    
    Unsafe
  - Union
coq-core.library
- Coqlib
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  - ExtRefMap
    
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coq-core.parsing
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coq-core.plugins.btauto
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coq-core.plugins.cc
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coq-core.plugins.derive
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coq-core.plugins.extraction
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coq-core.plugins.firstorder
- Firstorder_plugin
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    HP
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coq-core.plugins.float_syntax
- Float_syntax_plugin
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coq-core.plugins.funind
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coq-core.plugins.ltac
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coq-core.plugins.ltac2
- Ltac2_plugin
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coq-core.plugins.micromega
- Micromega_plugin
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    Coq_Pos
    
    N
    
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    Z
  - Mutils
    
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  - NumCompat
    
    Q
    
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  - Persistent_cache
    
    PHashtable
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    WithProof
  - Simplex
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    Bound
coq-core.plugins.nsatz
- Nsatz_plugin
  - G_nsatz
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    Make
    
    P
    
    Monomial
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    Coef
    
    Make
    
    C
    
    S
  - Utile
coq-core.plugins.number_string_notation
- Number_string_notation_plugin
coq-core.plugins.ring
- Ring_plugin
  - G_ring
  - Ring
  - Ring_ast
coq-core.plugins.rtauto
- Rtauto_plugin
coq-core.plugins.ssreflect
- Ssreflect_plugin
  - Ssrast
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    MakeState
    
    S
    
    StateType
  - Ssrelim
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    Internal
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    AdaptorDb
coq-core.plugins.ssrmatching
- Ssrmatching_plugin
  - G_ssrmatching
  - Ssrmatching
    
    Internal
coq-core.plugins.ssrsearch
- Ssrsearch_plugin
  - G_search
coq-core.plugins.tauto
- Tauto_plugin
  - Tauto
coq-core.plugins.tutorial.p0
- Tuto0_plugin
  - G_tuto0
  - Tuto0_main
coq-core.plugins.tutorial.p1
- Tuto1_plugin
coq-core.plugins.tutorial.p2
- Tuto2_plugin
coq-core.plugins.tutorial.p3
- Tuto3_plugin
coq-core.plugins.zify
- Zify_plugin
  - G_zify
  - Zify
    
    BinOp
    
    BinOpSpec
    
    BinRel
    
    CstOp
    
    InjTable
    
    PropBinOp
    
    PropUnOp
    
    S
    
    Saturate
    
    UnOp
    
    UnOpSpec
coq-core.pretyping
- Arguments_renaming
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    Test
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    Value
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coq-core.printing
- Genprint
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    Monad
    
    M
    
    Smart
    
    Unsafe
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coq-core.proofs
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coq-core.stm
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    T
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    T
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    Property
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    Property
- Partac
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    V1
    
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    Value
  - ProofTask
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  - Make
    
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  - S
    
    Branch
    
    Dag
    
    Property
- Vio_checking
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    Model
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coq-core.sysinit
- Coqargs
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coq-core.tactics
- Abstract
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- Btermdn
  - Make
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  - Make
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  - Datatype
  - Make
    
    T
  - S
- Eauto
- Elim
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- Eqdecide
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- Equality
- Genredexpr
- Hints
  - FullHint
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- Hipattern
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- Inv
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- Redops
- Tacticals
  - New
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  - New
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- Term_dnet
  - IDENT
  - Make
    
    Ident
    
    Opt
  - OPT
  - S
coq-core.top_printers
- Top_printers
coq-core.toplevel
- Ccompile
- Coqc
- Coqcargs
- Coqloop
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- G_toplevel
  - Toplevel_
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coq-core.vernac
- Assumptions
- Attributes
  - Notations
- Auto_ind_decl
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- ComArguments
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- DebugHook
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- Declare
  - CInfo
  - Hook
    
    S
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  - Internal
    
    Constant
  - OblState
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- DeclareInd
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- DeclareUniv
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- Egramcoq
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- G_proofs
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- Library
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  - Ast
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- RetrieveObl
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- Vernacstate
  - Declare
  - LemmaStack
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  - Stm
  - System
coq-core.vm
- Coqrun
coqide-server.core
- Document
  - signals
coqide-server.protocol
- Interface
- Richpp
- Serialize
- Xml_lexer
- Xml_parser
- Xml_printer
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Legend:
Library
Module
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module UPairSet : CSet.S with type elt = Univ.Level.t * Univ.Level.t

Unordered pairs of universe levels (ie (u,v) = (v,u))

Simplification and pruning of constraints: normalize_context_set ctx us

Instantiate the variables in us with their most precise universe levels respecting the constraints.

Normalizes the context ctx w.r.t. equality constraints, choosing a canonical universe in each equivalence class (a global one if there is one) and transitively saturate the constraints w.r.t to the equalities.

val normalize_context_set : 
  lbound:UGraph.Bound.t ->
  UGraph.t ->
  Univ.ContextSet.t ->
  UnivSubst.universe_opt_subst ->
  Univ.LSet.t ->
  UPairSet.t ->
  (UnivSubst.universe_opt_subst * Univ.LSet.t) Univ.in_universe_context_set