Definition:Way Above Closure
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Definition
Let $\left({S, \preceq}\right)$ be an ordered set.
Let $x \in S$.
The way above closure of $x$, denoted by $x^\gg$, is defined by:
- $x^\gg := \left\{ {y \in S: x \ll y}\right\}$
where $\ll$ denotes the way below relation.
Sources
- 1980: G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M.W. Mislove and D.S. Scott: A Compendium of Continuous Lattices
- Mizar article WAYBEL_3:def 4