Commit 2020-08-21 02:24 17190352
View on Github →feat(category_theory/monad/*): Add category of bundled (co)monads; prove equivalence of monads with monoid objects (#3762) This PR constructs bundled monads, and proves the "usual" equivalence between the category of monads and the category of monoid objects in the endomorphism category. It also includes a definition of morphisms of unbundled monads, and proves some necessary small lemmas in the following two files:
category_theory.functor_category
category_theory.monoidal.internal
Given any isomorphism inCat
, we construct a corresponding equivalence of categories inCat.equiv_of_iso
.