Theorems · Definition · category theory

CategoryTheory.Presieve.functorPushforward

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (F : CategoryTheory.Functor C D) → {X : C} → CategoryTheory.Presieve X → CategoryTheory.Presieve (F.obj X)

Given a presieve on X, we can define a presieve on F(X) (which is actually a sieve) by taking the sieve generated by the image via F.

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

16 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category