Implication Details
Assumptions: regular subobject classifier
Conclusions: finitely complete
Reason: This holds by definition.
Show 25 categories using this implication
- empty category
- discrete category on two objects
- category of finite sets and bijections
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- simplex category
- category of finite sets and injections
- category of finite sets and surjections
- category of finite ordered sets
- category of fields
- category of smooth manifolds
- poset of natural numbers
- poset of ordinal numbers
- category of prosets
- category of sets and relations
- category of sets with finite-to-one maps
- category of non-empty sets
- walking coreflexive pair
- walking fork
- walking idempotent
- walking parallel pair
- walking span
- walking splitting