Theorems · Theorem · category theory

CategoryTheory.Presieve.image_mem_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 Y : C} (R : CategoryTheory.Presieve X) {f : Y ⟶ X},
  R f → CategoryTheory.Presieve.functorPushforward F R (F.map f)

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

2 results in Mathlib

Foundations

Depth 5 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category