Implication details
Claim: Given a functor whose codomain is left cancellative, then it preserves monomorphisms.
Proof: This is trivial since every morphism in the codomain is a monomorphism.
This implication has a dual.
Show 8 functors using this implication
- inclusion functor from extended natural numbers to ordinal numbers
- morphism endpoints inclusion
- span endpoints inclusion
- trivial functor from the delooping
- trivial functor from the walking idempotent
- trivial functor from the category of groups
- trivial functor from the category of sets
- walking isomorphism object inclusion