Theorems · Theorem · category theory

CategoryTheory.Presieve.map_functorPullback_map

∀ {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} (R : CategoryTheory.Presieve X),
  CategoryTheory.Presieve.map F (CategoryTheory.Presieve.functorPullback F (CategoryTheory.Presieve.map F R)) =
    CategoryTheory.Presieve.map F R

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

2 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category