MathGloss

An equivalence relation \sim on a set XX is a binary relation that is reflexive, symmetric, and transitive. That is, for all a,b,cXa,b,c \in X,

  1. aaa\sim a.
  2. aba \sim b if and only if bab \sim a.
  3. If aba \sim b and bcb \sim c, then aca\sim c.

Wikidata ID: Q130998