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Maximal extension in a set

Set

context $X$ … set
context $a\in X$
definiendum $\mathrm{max}(a,A)\equiv\bigcup\{b\mid b\in X\land a\subseteq b\}$

Discussion

Idea

Given $a\in X$, the maximal extension $\mathrm{max}(a,A)$ is the largest set in $X$ which encompasses $a$.

Predicate

predicate $x$ maximal in $X \equiv \mathrm{max}(x,A)=x$

Reference

Parents

Element of

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