Implication Details
Claim: If a category is cartesian closed and has an initial object, then it has a strict initial object.
Proof: See the nLab.
Show 14 categories using this implication
- category of commutative monoids
- category of finite groups
- category of finite-dimensional vector spaces
- 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 free abelian groups
- category of finitely generated free modules over Z x Z
- category of groups
- category of monoids
- category of finitely generated projective modules over the ring of dual numbers
- category of sets and relations
- category of rngs
- walking commutative square