Can I make an assumption that given
std::string str;
... // do something to str
Is the following statement is always true?
Yes. Here is the relevant implementation from bits/basic_string.h, the code for basic_string<_CharT, _Traits, _Alloc>:
/**
* Returns true if the %string is empty. Equivalent to *this == "".
*/
bool
empty() const
{ return this->size() == 0; }
Even though the two forms are equivalent for std::string, you may wish to use .empty() because it is more general.
Indeed, J.F. Sebastian comments that if you switch to using std::wstring instead of std::string, then =="" won't even compile, because you can't compare a string of wchar_t with one of char. This, however, is not directly relevant to your original question, and I am 99% sure you will not switch to std::wstring.