package coq-core

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The Coq Proof Assistant -- Core Binaries and Tools

Install

Dune Dependency

coq.inria.fr Readme Edit opam file Versions (9)

Authors

T

The Coq development team, INRIA, CNRS, and contributors

Maintainers

T

The Coq development team <coqdev@inria.fr>

Sources

coq-8.17.0.tar.gz

sha512=2f77bcb5211018b5d46320fd39fd34450eeb654aca44551b28bb50a2364398c4b34587630b6558db867ecfb63b246fd3e29dc2375f99967ff62bc002db9c3250

doc/coq-core.pretyping/Indrec/index.html

Module `Indrec`Source

Errors related to recursors building

Sourcetype recursion_scheme_error =

| NotAllowedCaseAnalysis of bool * Sorts.t * Constr.pinductive
| NotMutualInScheme of Names.inductive * Names.inductive
| NotAllowedDependentAnalysis of bool * Names.inductive

Sourceexception RecursionSchemeError of Environ.env * recursion_scheme_error

Eliminations

Sourcetype dep_flag = bool

Build a case analysis elimination scheme in some sort family

Source

val build_case_analysis_scheme : 
  Environ.env ->
  Evd.evar_map ->
  Constr.pinductive ->
  dep_flag ->
  Sorts.family ->
  Evd.evar_map * Constr.t * Constr.types

Build a dependent case elimination predicate unless type is in Prop or is a recursive record with primitive projections.

Source

val build_case_analysis_scheme_default : 
  Environ.env ->
  Evd.evar_map ->
  Constr.pinductive ->
  Sorts.family ->
  Evd.evar_map * Constr.t * Constr.types

Builds a recursive induction scheme (Peano-induction style) in the same sort family as the inductive family; it is dependent if not in Prop or a recursive record with primitive projections.

Source

val build_induction_scheme : 
  Environ.env ->
  Evd.evar_map ->
  Constr.pinductive ->
  dep_flag ->
  Sorts.family ->
  Evd.evar_map * Constr.constr

Builds mutual (recursive) induction schemes

Source

val build_mutual_induction_scheme : 
  Environ.env ->
  Evd.evar_map ->
  ?force_mutual:bool ->
  (Constr.pinductive * dep_flag * Sorts.family) list ->
  Evd.evar_map * Constr.constr list

Scheme combinators

weaken_sort_scheme env sigma eq s n c t derives by subtyping from c:t whose conclusion is quantified on Type i at position n of t a scheme quantified on sort s. set asks for s be declared equal to i, otherwise just less or equal to i.

Source

val weaken_sort_scheme : 
  Environ.env ->
  Evd.evar_map ->
  bool ->
  Sorts.t ->
  int ->
  Constr.constr ->
  Constr.types ->
  Evd.evar_map * Constr.types * Constr.constr

Recursor names utilities

Source

val lookup_eliminator : 
  Environ.env ->
  Names.inductive ->
  Sorts.family ->
  Names.GlobRef.t

Sourceval elimination_suffix : Sorts.family -> string

Sourceval make_elimination_ident : Names.Id.t -> Sorts.family -> Names.Id.t

Sourceval case_suffix : string

package coq-core

Install

Dune Dependency

Authors

Maintainers

Sources

doc/coq-core.pretyping/Indrec/index.html

Module IndrecSource

Module `Indrec`Source