帮助查找将 lambda 与 `std::function` 结合使用的错误

我在看似简单的代码中使用了 lambda：

#include <iostream>
#include <functional>

using my_type = unsigned int;

int main()
{
    my_type def_val = -1;
auto correct_value = [&] (my_type &x, const my_type y, std::function<const my_type& (const my_type&, const my_type&)> selector)
{
  if (x != def_val)
    x = selector (x, y);
  else
    x = y;
};
    my_type x = 10;
    correct_value (x, 20, std::min<my_type>);
    std::cout << x << std::endl;
    return 0;
}

但它给出了一个编译错误：

main.cpp:18:5: error: no matching function for call to object of type '(lambda at main.cpp:10:22)'
    correct_value (x, 20, std::min<my_type>);
    ^~~~~~~~~~~~~
main.cpp:10:22: note: candidate function not viable: no overload of 'min' matching 'std::function<const my_type &(const my_type &, const my_type &)>' (aka 'function<const unsigned int &(const unsigned int &, const unsigned int &)>') for 3rd argument
auto correct_value = [&] (my_type &x, const my_type y, std::function<const my_type& (const my_type&, const my_type&)> selector)

我做错了什么？似乎第三个参数（函数）对应于原型。但他还是骂。

在线编译器中的代码：tyk