/caterwaul/Category/Dagger/Kind
Copy path to clipboardA true †-category has a contravariant endofunctor on C that reverses the morphisms. I’m not sure how to implement that, so this structure simply uses pairs of morphisms as the morphism.
Source
{-|
A true †-category has a contravariant endofunctor on C that reverses the
morphisms. I’m not sure how to implement that, so this structure simply uses
pairs of morphisms as the morphism.
-}
let kCat = ../Cat/semigroupal
let vObject = Type
in λ(object : Kind) →
λ(cat : ../Kind kCat vObject object) →
{ constraint = cat.constraint
, arrow = ../../Isomorphism/Type object cat
}
: ../Kind kCat vObject object