Theorems · Theorem · category theory

CategoryTheory.Sieve.generate_map_eq_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} {s : CategoryTheory.Presieve X},
  CategoryTheory.Sieve.generate (CategoryTheory.Presieve.map F s) =
    CategoryTheory.Sieve.functorPushforward F (CategoryTheory.Sieve.generate s)

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

6 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category