I've already asked a similar question yesterday (is there a well-order such that $X$ has a largest element). Can one prove the existence of a well-order on an infinite set $X$ such that $\forall x \in X \exists y \in X: x \leq y$?
2026-03-26 22:14:02.1774563242
Existence of well-order on an arbitrary infinite set $X$ without a largest element
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