Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.coalgebraEquivalence_unitIso_hom_app_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  (F :
    CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete Cᵒᵖ)
      (CategoryTheory.Bicategory.Adj CategoryTheory.Cat))
  (ι : Type u_1) [inst_1 : Unique ι] {X S : C} (f : X ⟶ S) (X_1 : F.DescentDataAsCoalgebra fun x => f) (i : ι),
  ((CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.coalgebraEquivalence F ι f).unitIso.hom.app X_1).hom i =
    CategoryTheory.eqToHom ⋯

Defined in

Mathlib.CategoryTheory.Sites.Descent.DescentDataAsCoalgebra

Cited by

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Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryUnique