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Oct 5, 2020 at 19:59 comment added Curiosity But, it is trivial that all we have to do is prove that 3 holds if 1,2,5 hold and 4 is false (for if 4 is true, we're done) so I'm asking "is there an elementary proof that 3 holds if 1,2,5 hold and 1 is a successor". I don't understand why you posted this as an "answer" when it's essentially a repeat of the question. I say this because making trivial modifications of a question and posting it as it it is an answer (or trivializing a question just so you can post an answer) is exactly the reason my colleague/advisor/mentor does not want anything to do with mathoverflow.
Sep 4, 2020 at 12:04 history answered Gerald Edgar CC BY-SA 4.0