Implication Details
Assumptions: distributive
Conclusions: strict initial object
Proof: See the nLab or Prop. 3.4 in Introduction to extensive and distributive categories.
Show 28 categories using this implication
- category of abelian groups
- category of abelian sheaves
- category of algebras
- category of Banach spaces with linear contractions
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of countable groups
- category of filtered vector spaces
- category of finite abelian groups
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [finite field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of free abelian groups
- category of groups
- category of left modules over a division ring
- category of left modules over a ring
- category of monoids
- category of pointed sets
- category of pointed topological spaces
- category of rings
- category of rngs
- category of sets and relations
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- proset of integers w.r.t. divisibility