Theorems · Theorem · category theory

CategoryTheory.Sieve.functorPushforward_comp

∀ {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} {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E]
  (G : CategoryTheory.Functor D E) (R : CategoryTheory.Sieve X),
  CategoryTheory.Sieve.functorPushforward (F.comp G) R =
    CategoryTheory.Sieve.functorPushforward G (CategoryTheory.Sieve.functorPushforward F R)

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

2 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category