Chapter 0 & 1 Named Theorems

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Last updated 10:15 AM on 9/9/26
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4 Terms

1
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DeMorgan: Let S be a set and {A_lambda} lambda in Lambda be an indexed family of subset of S. Then,

S\(U lambda in Lambda A_lambda) = n lambda in Lambda (S\A_lambda)

2
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Bolzano - Weierstrass

Every bounded infinite subset of R has an accumulation point

3
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Monotone Convergence Theorem

A monotone sequence converges if and only if it is bounded

4
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Well-Ordering Principle (WOP)

any nonempty subset of J has a smallest element