Standard notation for the the collection of all *minimal* elements of the set of all upper bounds?

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Let $(P,\leq)$ denote a poset and suppose $X \subseteq P$. Then the minimum element of the set of all upper bounds of $X$ can be denoted $\operatorname{sup} X$, or $\bigvee X$. Is there a similar notation for the collection of all minimal elements of the set of all upper bounds?