Theorems · Definition · category theory

CategoryTheory.coalgebraEquivOver

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (X : C) →
      [inst_1 : CategoryTheory.Limits.HasBinaryProducts C] →
        (CategoryTheory.prodComonad X).Coalgebra ≌ CategoryTheory.Over X

The equivalence from coalgebras for the product comonad to the over category.

Defined in

Mathlib.CategoryTheory.Monad.Products

Cited by

4 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProducts