lean2/src/library/definitional/util.h

/*
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.

Author: Leonardo de Moura
*/
#pragma once
#include "kernel/environment.h"

namespace lean {
/** \brief Return true iff \c n is the name of a recursive datatype in \c env.
    That is, it must be an inductive datatype AND contain a recursive constructor.

    \remark Records are inductive datatypes, but they are not recursive.

    \remark For mutually indutive datatypes, \c n is considered recursive
    if there is a constructor taking \c n.
*/
bool is_recursive_datatype(environment const & env, name const & n);

/** \brief Return true iff \c n is an inductive predicate, i.e., an inductive datatype that is in Prop.

    \remark If \c env does not have Prop (i.e., Type.{0} is not impredicative), then this method always return false.
*/
bool is_inductive_predicate(environment const & env, name const & n);
}