namespace std {
class weak_equality;
class strong_equality;
class partial_ordering;
class weak_ordering;
class strong_ordering;
constexpr bool is_eq (weak_equality cmp) noexcept { return cmp == 0; }
constexpr bool is_neq (weak_equality cmp) noexcept { return cmp != 0; }
constexpr bool is_lt (partial_ordering cmp) noexcept { return cmp < 0; }
constexpr bool is_lteq(partial_ordering cmp) noexcept { return cmp <= 0; }
constexpr bool is_gt (partial_ordering cmp) noexcept { return cmp > 0; }
constexpr bool is_gteq(partial_ordering cmp) noexcept { return cmp >= 0; }
template<class... Ts>
struct common_comparison_category {
using type = see below;
};
template<class... Ts>
using common_comparison_category_t = typename common_comparison_category<Ts...>::type;
template<class T> constexpr strong_ordering strong_order(const T& a, const T& b);
template<class T> constexpr weak_ordering weak_order(const T& a, const T& b);
template<class T> constexpr partial_ordering partial_order(const T& a, const T& b);
template<class T> constexpr strong_equality strong_equal(const T& a, const T& b);
template<class T> constexpr weak_equality weak_equal(const T& a, const T& b);
}