Theorems · Inductive type · category theory

CategoryTheory.Presieve.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} → CategoryTheory.Presieve X → CategoryTheory.Presieve (F.obj X)

This presieve generates functorPushforward. See arrows_generate_map_eq_functorPushforward.

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

38 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category