Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.fiberMk

{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] →
              {U : N} →
                {X : C} → (p.obj U ⟶ X) → (CategoryTheory.GrothendieckTopology.Point.ofIsCofiltered.fiber p).obj X

Constructor for elements in fiber.

Defined in

Mathlib.CategoryTheory.Sites.Point.OfIsCofiltered

Cited by

9 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmallCategoryTheory.CategoryCategoryTheory.InitiallySmall