Implication details
Claim: If a category has an initial object and is locally cocartesian coclosed, then it is cocartesian coclosed.
Proof: This follows from the dual implication.
This implication has a dual.
Show 13 categories using this implication
- category of finite sets and injections
- category of fields of characteristic zero
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- category of large families of sets which are mostly empty
- preordered set of integers w.r.t. divisibility
- forked commutative square
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking fork
- walking morphism