Theorems · Definition · category theory

CategoryTheory.FunctorToTypes.shrink

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (F : CategoryTheory.Functor C (Type w')) →
      [CategoryTheory.FunctorToTypes.Small.{w, w', v, u} F] → CategoryTheory.Functor C (Type w)

If a functor F : C ⥤ Type w' is w-small, this is the functor C ⥤ Type w obtained by shrinking F.obj X for all X : C.

Defined in

Mathlib.CategoryTheory.ShrinkYoneda

Cited by

9 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.FunctorToTypes.Small