Definition:Up-Complete
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Definition
Let $\left({S, \precsim}\right)$ be a preordered set.
Then $\left({S, \precsim}\right)$ is up-complete if and only if:
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_0:def 39