Theorems · Theorem · category theory

CategoryTheory.FunctorToTypes.shrink_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (F : CategoryTheory.Functor C (Type w'))
  [inst_1 : CategoryTheory.FunctorToTypes.Small.{w, w', v, u} F] {X Y : C} (f : X ⟶ Y),
  (CategoryTheory.FunctorToTypes.shrink.{w, w', v, u} F).map f =
    TypeCat.ofHom
      (⇑(equivShrink (F.obj Y)) ∘ ⇑(CategoryTheory.ConcreteCategory.hom (F.map f)) ∘ ⇑(equivShrink (F.obj X)).symm)

Defined in

Mathlib.CategoryTheory.ShrinkYoneda

Cited by

0 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.FunctorToTypes.Small