Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.Hom.hom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {F :
        CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete Cᵒᵖ)
          (CategoryTheory.Bicategory.Adj CategoryTheory.Cat)} →
      {ι : Type t} →
        {S : C} →
          {X : ι → C} →
            {f : (i : ι) → X i ⟶ S} → {D₁ D₂ : F.DescentDataAsCoalgebra f} → D₁.Hom D₂ → (i : ι) → D₁.obj i ⟶ D₂.obj i

The morphisms between the obj fields of descent data.

Defined in

Mathlib.CategoryTheory.Sites.Descent.DescentDataAsCoalgebra

Cited by

18 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category