Implication Details
Claim: Given a functor whose domain is regular-subobject-trivial, then it preserves reflexive coequalizers.
Proof: This follows from the dual implication.
Show 8 functors using this implication
- empty functor to the category of sets
- 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
- walking isomorphism object inclusion
- walking morphism representation