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.
If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Equivalent sets are sets with exactly the same number of elements.
The PICC theorem, or the Principle of Inclusion-Exclusion for Counting, is a combinatorial method used to calculate the size of the union of multiple sets. It states that to find the total count of elements in the union of several sets, one must sum the sizes of each individual set, subtract the sizes of the intersections of every pair of sets, add back the sizes of the intersections of every triplet of sets, and continue this alternating pattern for all possible intersections. This theorem helps avoid overcounting elements that belong to multiple sets. It is particularly useful in problems involving overlapping groups or categories.
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