Let $X$ be a preordered set and $\varphi : X\to X$ a function (can assume monotone if useful for the answer). Does the property of $\forall x\in X: \varphi (x) \geq x$ have a standard name?
2026-04-25 05:51:48.1777096308
Name of property: $\phi (x)\geq x$
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