Implication Details
Assumptions: disjoint finite coproducts, thin
Conclusions: trivial
Reason: For every object the two inclusions must be equal, so their equalizer is , but also since the coproduct is disjoint. Hence .
Show 13 categories using this implication
- category of Jónsson-Tarski algebras
- category of M-sets
- poset of natural numbers
- poset of extended natural numbers
- poset of ordinal numbers
- category of sets
- category of sheaves
- proset of integers w.r.t. divisibility
- poset [0,1]
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking morphism