package coq

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package coq
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val whd_betaiotazeta : Environ.env -> Constr.constr -> Constr.constr
val whd_allnolet : Environ.env -> Constr.constr -> Constr.constr
val whd_betaiota : Environ.env -> Constr.constr -> Constr.constr
val nf_betaiota : Environ.env -> Constr.constr -> Constr.constr
exception NotConvertible
type 'a kernel_conversion_function = Environ.env -> 'a -> 'a -> unit
type 'a extended_conversion_function = ?l2r:bool -> ?reds:TransparentState.t -> Environ.env -> ?evars:(Constr.existential -> Constr.constr option) -> 'a -> 'a -> unit
type conv_pb =
  1. | CONV
  2. | CUMUL
type 'a universe_compare = {
  1. compare_sorts : Environ.env -> conv_pb -> Sorts.t -> Sorts.t -> 'a -> 'a;
  2. compare_instances : flex:bool -> Univ.Instance.t -> Univ.Instance.t -> 'a -> 'a;
  3. compare_cumul_instances : conv_pb -> Univ.Variance.t array -> Univ.Instance.t -> Univ.Instance.t -> 'a -> 'a;
}
type 'a universe_state = 'a * 'a universe_compare
type ('a, 'b) generic_conversion_function = Environ.env -> 'b universe_state -> 'a -> 'a -> 'b
type 'a infer_conversion_function = Environ.env -> 'a -> 'a -> Univ.Constraints.t
val get_cumulativity_constraints : conv_pb -> Univ.Variance.t array -> Univ.Instance.t -> Univ.Instance.t -> Univ.Constraints.t
val inductive_cumulativity_arguments : (Declarations.mutual_inductive_body * int) -> int
val constructor_cumulativity_arguments : (Declarations.mutual_inductive_body * int * int) -> int
val sort_cmp_universes : Environ.env -> conv_pb -> Sorts.t -> Sorts.t -> ('a * 'a universe_compare) -> 'a * 'a universe_compare
val convert_instances : flex:bool -> Univ.Instance.t -> Univ.Instance.t -> ('a * 'a universe_compare) -> 'a * 'a universe_compare
val checked_universes : UGraph.t universe_compare

This function never raise UnivInconsistency.

These two functions can only raise NotConvertible

Depending on the universe state functions, this might raise UniverseInconsistency in addition to NotConvertible (for better error messages).

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_assum : Environ.env -> int -> Constr.types -> Constr.constr list -> Constr.types

In hnf_prod_applist_assum 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_assum

val dest_lam_n_assum : 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