Implication Details
Assumptions: disjoint finite coproducts, thin
Conclusions: trivial
Proof: For every object the two inclusions must be equal, so their equalizer is , but also since the coproduct is disjoint. Hence .
Show 12 categories using this implication
- category of Jónsson-Tarski algebras
- category of M-sets
- category of sets
- category of simplicial sets
- poset [0,1]
- poset of extended natural numbers
- poset of natural numbers
- poset of ordinal numbers
- proset of integers w.r.t. divisibility
- walking commutative square
- walking composable pair
- walking morphism