package coq-core

  1. Overview
  2. Docs
package coq-core
Legend:
Library
Module
Module type
Parameter
Class
Class type

None of these functions do eta reduction

val beta_applist : Constr.constr -> Constr.constr list -> Constr.constr

Builds an application node, reducing beta redexes it may produce.

val beta_appvect : Constr.constr -> Constr.constr array -> Constr.constr

Builds an application node, reducing beta redexes it may produce.

Builds an application node, reducing beta redexe it may produce.

val hnf_prod_applist : Environ.env -> Constr.types -> Constr.constr list -> Constr.types

Pseudo-reduction rule Prod(x,A,B) a --> Bx\a

val hnf_prod_applist_decls : Environ.env -> int -> Constr.types -> Constr.constr list -> Constr.types

In hnf_prod_applist_decls n c args, c is supposed to (whd-)reduce to the form ∀Γ.t with Γ of length n and possibly with let-ins; it returns t with the assumptions of Γ instantiated by args and the local definitions of Γ expanded.

val betazeta_appvect : int -> Constr.constr -> Constr.constr array -> Constr.constr

Compatibility alias for Term.lambda_appvect_decls

val whd_decompose_prod : Environ.env -> Constr.types -> Constr.rel_context * Constr.types
val whd_decompose_prod_decls : Environ.env -> Constr.types -> Constr.rel_context * Constr.types
val whd_decompose_lambda : Environ.env -> Constr.constr -> Constr.rel_context * Constr.constr
val whd_decompose_lambda_decls : Environ.env -> Constr.constr -> Constr.rel_context * Constr.constr
val whd_decompose_lambda_n_assum : Environ.env -> int -> Constr.constr -> Constr.rel_context * Constr.constr

This is typically the function to use to extract the context of a Fix not already in normal form up to and including the decreasing argument, counting as many lambda's as given by the decreasing index + 1

exception NotArity
val dest_arity : Environ.env -> Constr.types -> Term.arity
val is_arity : Environ.env -> Constr.types -> bool

Deprecated

  • deprecated Use [whd_decompose_prod] instead.
  • deprecated Use [whd_decompose_prod_decls] instead.
  • deprecated Use [whd_decompose_lambda] instead.
  • deprecated Use [whd_decompose_lambda_assum] instead.

Re-deprecated in 8.19

val hnf_decompose_prod : Environ.env -> Constr.types -> Constr.rel_context * Constr.types
  • deprecated Use [whd_decompose_prod] instead.
val hnf_decompose_prod_decls : Environ.env -> Constr.types -> Constr.rel_context * Constr.types
  • deprecated Use [whd_decompose_prod_decls] instead.
val hnf_decompose_lambda : Environ.env -> Constr.constr -> Constr.rel_context * Constr.constr
  • deprecated Use [whd_decompose_lambda] instead.
val hnf_decompose_lambda_decls : Environ.env -> Constr.constr -> Constr.rel_context * Constr.constr
  • deprecated Use [whd_decompose_lambda_decls] instead.
val hnf_decompose_lambda_n_decls : Environ.env -> int -> Constr.constr -> Constr.rel_context * Constr.constr
  • deprecated Use [whd_decompose_lambda_n_assum] instead.
OCaml

Innovation. Community. Security.

GitHub Discord Twitter Peertube RSS
About
Changelog Releases Industrial Users Academic Users Why OCaml
Ecosystem
Packages Community Events OCaml Planet Jobs
Resources
Install OCaml Get Started Platform Tools Language Manual Standard Library API Books Exercises Papers OCaml Playground Logo
Policies
Carbon Footprint Governance Privacy Code of Conduct