“subset”的概念、定义、习题解题方法及翻译-数学辞典

单词

subset

释义

subset

The set A is a subset of the set B if every element of A is an element of B. When this is so, A is contained in B, written A ⊆ B, and B contains A, written B ⊇ A. The following properties hold:

(i) For all sets A, Ø ⊆ A and A ⊆ A, where Ø denotes the empty set.

(ii) For all sets A and B, A = B if and only if A ⊆ B and B ⊆ A.

(iii) For all sets A, B and C, if A ⊆ B and B ⊆ C, then A ⊆ C.

See also algebra of sets, power set, proper subset.

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