Quick Set Question

  1. If a set "C" can contain any subset of a set "A", then is "A" itself a subset of (or equal to) "C" ??

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  2. jcsd
  3. HallsofIvy

    HallsofIvy 40,203
    Staff Emeritus
    Science Advisor

    Do you mean by "contain" "has as a subset"? If that is the case, then the answer is "yes". If C has every (proper) subset of A as a subset, then, in particular, it has every singleton set as a subset and so contains every element of A.
     
  4. Thanks -- just what I needed to know :smile:
     
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