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Showing content from https://en.cppreference.com/w/cpp/language/../error/error_code/../../../cpp/types/is_base_of.html below:

std::is_base_of - cppreference.com

template< class Base, class Derived >
struct is_base_of;

(since C++11)

std::is_base_of is a BinaryTypeTrait.

If Derived is derived from Base or if both are the same non-union class (in both cases ignoring cv-qualification), provides the member constant value equal to true. Otherwise value is false.

If both Base and Derived are non-union class types, and they are not the same type (ignoring cv-qualification), Derived should be a complete type; otherwise the behavior is undefined.

If the program adds specializations for std::is_base_of or std::is_base_of_v(since C++17), the behavior is undefined.

[edit] Helper variable template

template< class Base, class Derived >
constexpr bool is_base_of_v = is_base_of<Base, Derived>::value;

(since C++17) Inherited from std::integral_constant Member constants true if Derived is derived from Base or if both are the same non-union class (in both cases ignoring cv-qualification), false otherwise
(public static member constant) Member functions converts the object to bool, returns value
(public member function) returns value
(public member function) Member types [edit] Notes

std::is_base_of<A, B>::value is true even if A is a private, protected, or ambiguous base class of B. In many situations, std::is_convertible<B*, A*> is the more appropriate test.

Although no class is its own base, std::is_base_of<T, T>::value is true because the intent of the trait is to model the "is-a" relationship, and T is a T. Despite that, std::is_base_of<int, int>::value is false because only classes participate in the relationship that this trait models.

[edit] Possible Implementation
namespace details
{
    template<typename B>
    std::true_type test_ptr_conv(const volatile B*);
    template<typename>
    std::false_type test_ptr_conv(const volatile void*);
 
    template<typename B, typename D>
    auto test_is_base_of(int) -> decltype(test_ptr_conv<B>(static_cast<D*>(nullptr)));
    template<typename, typename>
    auto test_is_base_of(...) -> std::true_type; // private or ambiguous base
}
 
template<typename Base, typename Derived>
struct is_base_of :
    std::integral_constant<
        bool,
        std::is_class<Base>::value &&
        std::is_class<Derived>::value &&
        decltype(details::test_is_base_of<Base, Derived>(0))::value
    > {};
[edit] Example
#include <type_traits>
 
class A {};
class B : A {};
class C : B {};
class D {};
union E {};
using I = int;
 
static_assert
(
    std::is_base_of_v<A, A> == true &&
    std::is_base_of_v<A, B> == true &&
    std::is_base_of_v<A, C> == true &&
    std::is_base_of_v<A, D> != true &&
    std::is_base_of_v<B, A> != true &&
    std::is_base_of_v<E, E> != true &&
    std::is_base_of_v<I, I> != true
);
 
int main() {}
[edit] Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior LWG 2015 C++11 the behavior might be undefined if
Derived is an incomplete union type the base characteristic is
std::false_type in this case [edit] See also

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