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Difference between subset and proper subset: Different definitions.
Subset is a mathematical concept: if any element of set A is an element of set B, then set A is called a subset of set B. ..
If set A is a subset of set B and set B is not a subset of set A, then set A is called the proper subset of set B.
Set, for short, is a basic concept in mathematics and the main research object of set theory. Generally defined as: a whole consisting of one or more definite elements.