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A reflexive and transitive binary relation.
wp-preordernlab-preordergierz-orderEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
First specialize to an endorelation ; restrict to reflexive and transitive relations.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-preordergierz-orderEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Require the carrier to be nonempty and every pair to have a common upper bound.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-directed-setgierz-orderThis is an authored directed relation from the source endpoint to the target endpoint.
Add a valuation monotone along the information preorder.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-kripke-semanticsopenlogic-model-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Require and to imply .
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-posetgierz-orderThis is an authored directed relation from the source endpoint to the target endpoint.
Use elements as objects and a unique morphism exactly when ; thin categories conversely determine preorders on their objects.
Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.
wp-preorderwp-thin-categoryriehl-category-context