how to complement the values of std::vector<bool> using range for loop taking element by reference

I need to complement the values of std::vector<bool>. So I thought of using range for loop taking elements by reference. But the compiler is giving me the below error

error: cannot bind non-const lvalue reference of type 'std::_Bit_reference&' to an rvalue of type 'std::_Bit_iterator::reference'
   13 |     for (auto& bit : rep)

This is my sample code

#include <iostream>
#include <vector>

int main() {
    std::vector<bool> rep;
    rep.push_back(true);
    rep.push_back(false);
    rep.push_back(true);
    rep.push_back(false);
    rep.push_back(true);
    rep.push_back(false);

    for (auto& bit : rep)
        bit = !bit;
}

>Solution :

you can bind them (the returned proxy object) to rvalue reference

for (auto&& bit : rep)
   bit = !bit;

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