Theorems · Theorem · category theory

CategoryTheory.coalgebraToOver_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : C) [inst_1 : CategoryTheory.Limits.HasBinaryProducts C]
  (A : (CategoryTheory.prodComonad X).Coalgebra),
  (CategoryTheory.coalgebraToOver X).obj A =
    CategoryTheory.Over.mk (CategoryTheory.CategoryStruct.comp A.a CategoryTheory.Limits.prod.fst)

Defined in

Mathlib.CategoryTheory.Monad.Products

Cited by

0 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProducts