Constraining parameter type in derived class to fit capabilities of base class

I have a type variant2 derived from std::variant. Now I want to be able to early capture potential assignment errors in case the assigned type doesn't match one of the variants types.

However, the way I came up with suffers from the issue that the typedef of the inner std::variant is incomplete until the closing braces, so I can't pass that through a concept. What alternatives do I have?

(Note: In production code the function assign is a lot more complicated, hence I want to be able to capture errors for the sake of user-friendliness early.)

Demo

#include <concepts>
#include <iostream>
#include <string>
#include <type_traits>
#include <variant>

template <typename T, typename Variant>
struct is_variant_type;

template <typename T, template <typename...> typename Var, typename... Args>
struct is_variant_type<T, Var<Args...>>
    : public std::disjunction<std::is_same<T, Args>...> {};

template <typename T, typename Variant>
concept variant_type = is_variant_type<T, Variant>::value;

template <typename T>
struct variant2 : public std::variant<std::monostate, int, T> 
{
    using inner_variant_type = variant2::variant;

    template <variant_type<inner_variant_type> U>
    auto assign(const U& arg) 
    {
        *this = arg;
    }
};

int main() 
{
    variant2<std::string> var;
    var.assign(2);
}

Yields:

<source>:19:42: error: invalid use of incomplete type 'struct variant2<T>'
   19 |     using inner_variant_type = variant2::variant;
      |                                          ^~~~~~~
<source>:18:8: note: definition of 'struct variant2<T>' is not complete until the closing brace
   18 | struct variant2 : public std::variant<std::monostate, int, T> {
      |        ^~~~~~~~
<source>:21:28: error: 'inner_variant_type' was not declared in this scope; did you mean 'is_variant_type'?
   21 |     template <variant_type<inner_variant_type> U>
      |                            ^~~~~~~~~~~~~~~~~~
      |                            is_variant_type

etc.

You are missing a typename keyword, for the dependent type variant2::variant, in the alias declaration inside the class variant2.

Additionally, you have to mention which operator=, that you meant at the line *this = var;, which is by default not visible to the child. You can have more read here: https://stackoverflow.com/questions/1567730/inheritance-and-templates-in-c-why-are-inherited-members-invisible

template <typename T>
struct variant2 : public std::variant<std::monostate, int, T> 
{
    using inner_variant_type = typename variant2::variant;
    //                         ^^^^^^^^ ---> required 

    // required to mention, that the operator= is from the parent !!
    using std::variant<std::monostate, int, T>::operator=;  

    template <variant_type<inner_variant_type> U>
    auto assign(const U& var) {
        *this = var;
    }
};

See a demo