Theorems · Theorem · category theory

CategoryTheory.Sieve.functorPushforward_ofArrows

∀ {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} {ι : Type u_1} {Y : ι → C} (f : (i : ι) → Y i ⟶ X),
  CategoryTheory.Sieve.functorPushforward F (CategoryTheory.Sieve.ofArrows Y f) =
    CategoryTheory.Sieve.ofArrows (fun i => F.obj (Y i)) fun i => F.map (f i)

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

1 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category