About

The equivalence relation is a relationship between two entities.

The equivalence relation is also known as:

• is equal to.
• equality
• is parallel to (for affine spaces)
• is in bijection with - bijection
• isomorphy

Properties

An equivalence relation is a binary relation that is:

• symmetric
• transitive
• reflexive

Computer language

• In a language grammar, the equality relationship is tested with the equal operator.
• To be able to sort a set, the equivalence is tested.