Yes, it is, as are all the following:
Completeness Axiom
Heine-Borel
Nested Set
Bolzano-Weierstrass
Monotone Convergence
They are not equivalent sets.
Equivalent sets are sets with exactly the same number of elements.
No, they are not equivalent sets.
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
Yes. Equivalent means equal.
Equivalent sets are sets with exactly the same number of elements.
If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Yes.
two sets A and B are said to be equivalent if there exists a bijective mapping between A and B
Yes because they comply with Pythagoras' theorem
yes, equal sets are equalent
No, equal sets and equivalent sets are not the same. Equal sets contain exactly the same elements, meaning every element in one set is also in the other. In contrast, equivalent sets have the same number of elements but may contain different elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, while the sets {1, 2} and {4, 5} are equivalent but not equal, as both contain two elements.