Theorems · Theorem · category theory

CategoryTheory.Precoverage.comap_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  {E : Type u_2} [inst_2 : CategoryTheory.Category.{v_2, u_2} E] (F : CategoryTheory.Functor C D)
  (G : CategoryTheory.Functor D E) (J : CategoryTheory.Precoverage E),
  CategoryTheory.Precoverage.comap (F.comp G) J =
    CategoryTheory.Precoverage.comap F (CategoryTheory.Precoverage.comap G J)

Defined in

Mathlib.CategoryTheory.Sites.Precoverage

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category