Implication Details
Assumptions: binary coproducts, inhabited
Conclusions: sifted
Proof: The category is inhabited by assumption, and the coproduct of two objects is initial in the corresponding category of cospans.
Show 15 categories using this implication
- 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
- category of finite sets and injections
- category of fields
- category of free abelian groups
- category of semigroups
- category of sets with finite-to-one maps
- category of non-empty sets
- walking fork
- walking parallel pair
- walking span