Another classical usage of Zorn's lemma may be the proof that each appropriate suitable—which is, a super that is not The full ring—of a hoop is contained in a very maximal ideal. Listed here, S displaystyle S
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Eumenes, one of Alexander’s captains, setting up for himself following the Loss of life of his master, persuaded his principal officers to lend him fantastic sums; after which they had been pressured to abide by him for their unique security.
British isles The restaurant does a set lunch (= a food which is obtainable at a fixed value, but with little if any option about what You should consume) on Sundays.
earlier tense and previous participle set to cause some thing to be fixed or business:
While we set up our hopes listed here, we don't so severely, as we ought, consider that God has offered A different and greater place for us.
[ I/T ] present participle placing
is useful for the subset relation, or in case of attainable ambiguity, a person makes use of commonly A ⊊ B displaystyle Asubsetneq B
The lives with the revealers can be justly plenty of set over from the revelation, to discover whether or not they concur.
previous tense and past participle established to establish a sample or illustration to adhere do cung to:
[ T ] If you set a Portion of your body, you tighten the muscles close to it in an effort to clearly show that you're identified about one thing:
He that sets out on weak legs is not going to only go farther, but improve more powerful also, than one particular who with agency limbs only sits however.
It's observed by working experience, that Individuals men who create for morality, without the need of regard to religion, are normally but virtuous partially.
The definition of cardinal quantities is simply too technical for this text; having said that, many Qualities of cardinalities is usually dealt without having referring to cardinal figures, as follows.