Theorems · Theorem · category theory

CategoryTheory.coalgebraToOver_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : C) [inst_1 : CategoryTheory.Limits.HasBinaryProducts C]
  {X_1 Y : (CategoryTheory.prodComonad X).Coalgebra} (f : X_1 ⟶ Y),
  (CategoryTheory.coalgebraToOver X).map f = CategoryTheory.Over.homMk f.f ⋯

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