The Least Upper Bound Property
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LUB1:
Arbitrarily Large Integers
LUB2:
Arbitrarily Small Positive Rational Numbers
LUB3:
Integers Immediately Surrounding Any Real Number
LUB4:
Fractions Immediately Surrounding Any Real Number
LUB5:
Arbitrarily Close Approximation to Real Numbers by Rational Numbers
Converted [ in part ] by Mathematica
December 4, 2007;
Edited 12 May 2010