In order to show that $P \cong Q$ we show that $a \leq b \Rightarrow \phi(a) \leq \phi(b)$ and then we show bijection. Note here, $P,Q$ are ordered sets. My professor told me that here showing only onto suffices the condition for bijection. Can someone explain why?
2026-04-19 17:33:51.1776620031
Does proving only one-one or onto suffice for showing biection in order isomorphism?
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