Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.Point.shrinkYonedaCompPresheafFiberIso

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      (Φ : J.Point) →
        [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] →
          CategoryTheory.shrinkYoneda.{w, v, u}.comp Φ.presheafFiber ≅ Φ.fiber

The isomorphism shrinkYoneda.{w} ⋙ Φ.presheafFiber ≅ Φ.fiber.

Defined in

Mathlib.CategoryTheory.Sites.Point.Basic

Cited by

3 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmall