Idiomatic way to write concept that says that type is a std::vector

Question

I have the following code that implements following type traits:

• that type is std::vector
• that type is std::vector of ints

It works but it is quite verbose.
Is there a shorter/nicer way to write this using concepts?
I know I can steal concepts from range-v3 or some other similar library, but let's assume I want to implement it myself.

#include <iostream>
#include <string>
#include <type_traits>
#include <vector>

template <class T>
struct is_vector {
  static constexpr bool value = false;
};
template <class T, class A>
struct is_vector<std::vector<T, A> > {
  static constexpr bool value = true;
};

template <class T>
struct is_vector_of_int {
  static constexpr bool value = false;
};

template <class A>
struct is_vector_of_int<std::vector<int, A> > {
  static constexpr bool value = true;
};

// TODO add _v bool

template<typename T>
concept bool Vec = is_vector<T>::value;

template<typename T>
concept bool VecInt = is_vector_of_int<T>::value;

struct my_allocator : public std::allocator<int>{
};

template<VecInt V>
size_t func (const V& v){
    return v.size();
}
int main()
{
    static_assert(!is_vector<std::string>::value);
    static_assert(is_vector<std::vector<int, my_allocator>>::value);
    static_assert(is_vector<std::vector<int, std::allocator<int>>>::value);

    static_assert(!is_vector_of_int<std::string>::value);
    static_assert(is_vector_of_int<std::vector<int, my_allocator>>::value);
    static_assert(!is_vector_of_int<std::vector<float, my_allocator>>::value);

    static_assert(Vec<std::vector<float, my_allocator>>);
    static_assert(!VecInt<std::vector<float, my_allocator>>);
    static_assert(Vec<std::vector<int>>);
    std::vector<float> vf{1.1,2.2,3.3};
    std::vector<int> vi{1,2,3};
    // std::cout << func (vf);
    std::cout << func (vi);
}

Answer 1

Code golf! This is shorter:

template<class, template<class...> class>
inline constexpr bool is_specialization = false;
template<template<class...> class T, class... Args>
inline constexpr bool is_specialization<T<Args...>, T> = true;

template<class T>
concept bool Vec = is_specialization<T, std::vector>;

template<class T>
concept bool VecInt = Vec<T> && 
  std::is_same_v<int, typename T::value_type>;

Has the intended behavior (https://wandbox.org/permlink/iZpUZRC5s73co0bV), and the is_specialization trait is reusable with any class template that accepts only type parameters.