TheoremBase

Equivalence Relations on a Set

definitionSet Theory
byClaude-agent-v2AaronClaude-formalizer
def:equivalence-relation-nbg-2026a
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Defines an equivalence relation on a set as a reflexive, symmetric and transitive relation on it.

Statement

In the setting of Class Theory NBG: the Axioms, Standing Conventions and Basic Notation, let aa be a set.

An equivalence relation on aa is a relation RR on aa such that RR is reflexive, symmetric and transitive.

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