package coq

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Formal proof management system

Install 

dune-project
 Dependency

coq.inria.fr Edit opam file Versions (40)

Authors

  1. T
    The Coq development team, INRIA, CNRS, and contributors.

Maintainers

  1. C
    coqdev@inria.fr

Sources

coq-8.16.1.tar.gz
sha256=583471c8ed4f227cb374ee8a13a769c46579313d407db67a82d202ee48300e4b

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

Module IndrecSource

Errors related to recursors building

Sourcetype recursion_scheme_error =
  1. | NotAllowedCaseAnalysis of bool * Sorts.t * Constr.pinductive
  2. | NotMutualInScheme of Names.inductive * Names.inductive
  3. | 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

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

Sourceval 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.

Builds mutual (recursive) induction schemes

Sourceval 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.

Sourceval 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

Sourceval elimination_suffix : Sorts.family -> string
Sourceval make_elimination_ident : Names.Id.t -> Sorts.family -> Names.Id.t
Sourceval case_suffix : string