@amWhy Answer now deleted by its author, with the effect that the comments thread becomes invisible to many.
@JackDAurizio Why did you delete your answer mentioned just above? Is it due to some problems in the mathematics that you discovered afterwards, or is it to make the thread of comments less visible? If the latter, whatever one thinks of the facts/opinions/judgements/anything that were voiced there (your own included), I find suboptimal to make them disappear.
It's been a long day... I believe this question needs to be closed. Too many Sunday-before-homework-is-due/exam-on-Monday questions today (no surprise, but tiring). @ProfessorVector, @XanderHenderson, @JohnMa @Did, @user21820