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Canonical static concept record

Transitive set

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Summary

A set whose elements are all subsets of it.

Record metadata

Carrier(s)

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

SetTransitive set

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require every element of an element of XX to lie in XX.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Transitive setOrdinal

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require the inherited membership relation \in to be a well-order of the transitive set.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources