Deriving from an iterator

Hi there,

Im deriving from std::vector and std::vector::iterator.

/////////// test.cpp ///////////////////////////////
#include <iostream>
#include <vector>

using std::vector;

template<typename T>
struct Myvec : public vector<T> {
  using vector<T>::vector;

  class myiterator;

  myiterator begin1() {return myiterator{static_cast<vector<T>>(*this).begin()}; }
  myiterator end1() {return myiterator{static_cast<vector<T>>(*this).end()}; }
  const myiterator begin1()const {return myiterator{static_cast<vector<T>>(*this).begin()}; }
  const myiterator end1() const {return myiterator{static_cast<vector<T>>(*this).end()}; }

};

template<typename T>
struct Myvec<T>::myiterator : public vector<T>::iterator{
  // CONSTRUCTOR
  myiterator(const typename vector<T>::iterator& it) : vector<T>::iterator{it} {}
  using vector<T>::iterator::iterator;
};

int main()
{
  Myvec<int> vec = {1, 2, 3};
  for (Myvec<int>::myiterator it = vec.begin1(); it != vec.end1(); ++it) {
    std::cout << *it << '\n';
  }
  return 0;
}
///////////////////////////////////////////////

Compile (on linux) with:
c++ -std=c++11 -o test test.cpp

EXPECTED OUTPUT:
1
2
3

REAL OUTPUT is unfortunately:
0
0
3

How can one fix the code?
How does one properly derive an iterator and get it working?

Thanks.