Implication Details
Assumptions: cartesian closed, finite coproducts
Conclusions: distributive
Proof: Each functor is left adjoint and hence preserves finite coproducts (in fact, all colimits).
Show 16 categories using this implication
- category of fields
- category of combinatorial species
- category of finite sets
- category of Jónsson-Tarski algebras
- category of M-sets
- category of pairs of sets
- category of sets
- category of sheaves
- category of simplicial sets
- poset [0,1]
- poset of extended natural numbers
- trivial category
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism