Implication Details
Assumptions: cartesian closed, coproducts
Conclusions: infinitary distributive
Reason: Each functor is left adjoint and hence preserves coproducts (in fact, all colimits).
Show 18 categories using this implication
- trivial category
- category of small categories
- category of finite sets
- category of Jónsson-Tarski algebras
- category of M-sets
- poset of extended natural numbers
- category of posets
- category of prosets
- category of sets
- category of pairs of sets
- category of sheaves
- category of combinatorial species
- poset [0,1]
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism