Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.functor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] →
      {N : Type u'} →
        [inst_2 : CategoryTheory.Category.{v', u'} N] →
          (p : CategoryTheory.Functor N C) →
            [inst_3 : CategoryTheory.InitiallySmall N] →
              CategoryTheory.Functor N (CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.fiber p).Elements

A functor N ⥤ (fiber p).Elements which is initial when N is cofiltered and initially small.

Defined in

Mathlib.CategoryTheory.Sites.Point.OfIsCofiltered

Cited by

3 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmallCategoryTheory.CategoryCategoryTheory.InitiallySmall