英语数学题翻译

问题描述:

英语数学题翻译
Let X be a finite set of positive integers and A a subset of X. Prove that there exists a subset B of X such that A equals the set of elements of X which divide an odd number of elements of B.

X是正整数的有限集合
A是X的子集
证明存在一个X的子集B,使得A等于X中各元素除去B中的奇数