Usually means: Subset closed under taking predecessors.
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We found 5 dictionaries that define the word downset:

General (4 matching dictionaries)
  1. downset: Merriam-Webster
  2. downset: Wordnik
  3. downset: Wiktionary
  4. Downset (band), Downset: Wikipedia, the Free Encyclopedia

Slang (1 matching dictionary)
  1. downset: Urban Dictionary

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Definitions from Wiktionary (downset)

▸ noun:  (set theory) An ideal.

Similar:
ideal, pseudoideal, lower set, poset, sets, hyperideal, antiset, upset, upper set, truthset, more...

Opposite:
upward, upset, uplifted, raised, ascended

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Similar:
ideal, pseudoideal, lower set, poset, sets, hyperideal, antiset, upset, upper set, truthset, more...

Opposite:
upward, upset, uplifted, raised, ascended



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