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Is Bolzano-Weierstrass theorem for sets equivalent to the completeness theorem?
Wiki User
∙ 13y ago
Yes, it is, as are all the following:
Completeness Axiom
Heine-Borel
Nested Set
Bolzano-Weierstrass
Monotone Convergence
Wiki User
∙ 13y ago
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Integer and natural number are equivalent sets if equivalent show that?
They are not equivalent sets.
What is meaning of equivalent sets?
Equivalent sets are sets with exactly the same number of elements.
Are integers and natural numbers equivalent sets?
No, they are not equivalent sets.
Are equivalent sets equal sets why?
No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. example: A={a,b,c} and B={1,2,3} equivalent sets C={1,2,3} and D={1,2,3} equal sets
Are all equivalent sets are equal sets?
Yes. Equivalent means equal.
What is the meaning of equivalent set?
Equivalent sets are sets with exactly the same number of elements.
What is the SSS Theorem?
If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Is it true that all equal sets are equivalent sets?
Yes.
Definition of equivalent sets?
two sets A and B are said to be equivalent if there exists a bijective mapping between A and B
Is 6 8 and 10 sets of dimensions that represent a right triangle?
Yes because they comply with Pythagoras' theorem
Are equal sets equivalent set?
yes, equal sets are equalent
What is an equivalent of a set?
equal sets
