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Japanese Sentence with English Translation

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Furigana Show|Add to ▼ Source Totoeba Project
Prove that P is a poset.
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Vocabulary list

ga
particle
  1. indicates sentence subject (occasionally object)
  2. indicates possessive (esp. in literary expressions)
conjunction
  1. but; however; still; and
  2. regardless of; whether (or not) (after the volitional form of a verb)
hanjunjoshuugou
noun
  1. partially ordered set; poset; semi-ordered set
han
noun, noun, used as a prefix
  1. half; semi-
noun, noun, used as a suffix
  1. half-past
noun
  1. odd number
  2. unit of land area (595.8 m^2)
junjo
noun
  1. order; sequence; procedure
shuugou
noun, suru verb
  1. meeting up; gathering; assembly
  2. set
dearu
copula, godan verb (irregular)
  1. be; is
de
particle
  1. at; in (indicates location of action; にて is the formal literary form)
  2. at; when (indicates time of action)
  3. by; with (indicates means of action)
conjunction
  1. and then; so
auxiliary
  1. and; then (indicates continuing action; alternative form of 〜て used for some verb types)
particle
  1. let me tell you; don't you know (at sentence-end; indicates certainty, emphasis, etc.)
aru
godan verb (irregular), intransitive verb
  1. to be; to exist; to live (usu. of inanimate objects)
  2. to have
  3. to be located
  4. to be equipped with
  5. to happen; to come about
koto
noun
  1. thing; matter
  2. incident; occurrence; event; something serious; trouble; crisis
  3. circumstances; situation; state of affairs
  4. work; business; affair
  5. after an inflectable word, creates a noun phrase indicating something the speaker does not feel close to
noun, used as a suffix
  1. nominalizing suffix
  2. pretending to ...; playing make-believe ...
noun
  1. alias; also known as; otherwise known as; or (as AことB (A = alias, B = real name))
  2. necessity; need (as 〜ことはない)
  3. you should ...; I advise that you ...; it's important to ... (as 〜ことだ)
wo
particle
  1. indicates direct object of action
  2. indicates subject of causative expression
  3. indicates an area traversed
  4. indicates time (period) over which action takes place
  5. indicates point of departure or separation of action
  6. indicates object of desire, like, hate, etc.
shoumei
noun, suru verb
  1. proof; testimony; demonstration; verification; certification
seyo
expression
  1. granted that; even if; even though

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