least upper bound sentence - least upper bound sentence in Hindi (1-10)

	1.	Now we prove the least upper bound property.
	2.	So the least upper bound is infinite.
	3.	Theory curbing selects such least upper bounds models in addition to the ones selected by circumscription.
	4.	The real numbers also have an important but highly technical property called the least upper bound property.
	5.	This least upper bound is defined to be the irrationality measure of " x ".
	6.	These are posets in which every upward-directed set is required to have a least upper bound.
	7.	Hence, 0 is the least upper bound of the negative reals, so the supremum is 0.
	8.	Another example is the hyperreals; there is no least upper bound of the set of positive infinitesimals.
	9.	As in the case of limits of sequences, least upper bounds of directed sets do not always exist.
	10.	Then it has a least fixpoint there, giving us the least upper bound of " W ".

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