Is string::compare reliable to determine alphabetical order?

According to the docs at cplusplus.com,

The member function returns 0 if all the characters in the compared contents compare equal, a negative value if the first character that does not match compares to less in the object than in the comparing string, and a positive value in the opposite case.

So it will sort strings in ASCII order, which will be alphabetical for English strings (with no diacritical marks or other extended characters) of the same case.

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