Reduction (coq-core.Reduction)

val whd_all : Environ.env -> Constr.constr -> Constr.constr

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.

val beta_app : Constr.constr -> Constr.constr -> Constr.constr

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 hnf_decompose_prod : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

val hnf_decompose_prod_decls : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

val hnf_decompose_lambda : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

val hnf_decompose_lambda_decls : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

val hnf_decompose_lambda_n_decls : 
  Environ.env ->
  int ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

exception NotArity

val dest_arity : Environ.env -> Constr.types -> Term.arity

val is_arity : Environ.env -> Constr.types -> bool

val eta_expand : Environ.env -> Constr.constr -> Constr.types -> Constr.constr

Deprecated

val dest_prod : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

val dest_prod_assum : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

val dest_lam : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

val dest_lam_assum : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr