set difference

差

Foundations & Logic · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Translation evidence: Literature usage

Meaning in context

The difference A∖B consists of members of A that do not belong to B.

集合 A 与 B 的差由属于 A 而不属于 B 的元素组成。

Example

{2,5}∖{5,7}={2}\{2,5\}\setminus\{5,7\}=\{2\}.

Usage and distinctions

Set difference is ordered: swapping A and B generally changes the result.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

  1. Avigad, Hua, Lewis and van Doorn — Logic and Proof§11.1 Elementary Set Theory; §11.4 Cartesian Product and Power Set · Checked 2026-10-14

Translation sources

  1. 李文威 — 代数学方法，第一卷（作者源码）第1章：「ZFC 公理一览」，派生运算段「差」 · Checked 2026-10-14
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