Implication details
Claim: If a category has equalizers and is finitely cocomplete and is locally cocartesian coclosed, then it is coregular.
Proof: This follows from the dual implication.
This implication has a dual.
Show 13 categories using this implication
- trivial category
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- indiscrete category of sets
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism