Implication Details
Assumptions: essentially finite
Conclusions: essentially countable, locally finite
Proof: This is trivial.
Show 22 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- category of finitely generated abelian groups
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- category of fields
- category of pseudo-metric spaces with non-expansive maps
- category of sets with finite-to-one maps
- category of combinatorial species
- poset [0,1]
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking fork
- walking idempotent
- walking isomorphism
- walking morphism
- walking parallel pair
- walking span
- walking splitting