Implication Details
Assumptions: conservative, full
Conclusions: full on isomorphisms
Proof: This is obvious.
Show 23 functors using this implication
- binary coproduct functor on sets
- binary diagonal functor on the category of sets
- contravariant power set functor
- countable copower functor on sets
- covariant power set functor
- discrete topology functor
- doubling functor on sets
- forgetful functor for groups
- forgetful functor for rings
- forgetful functor for vector spaces
- forgetful functor from abelian groups to groups
- forgetful functor from groups to monoids
- forgetful functor from groups to pointed sets
- forgetful functor from rings to monoids
- free group functor
- identity functor on the category of sets
- indiscrete topology functor
- opposite category functor
- opposite monoid functor
- sequences functor on sets
- squaring functor on sets
- trivial functor from the category of groups
- walking isomorphism object inclusion