Theorems · Definition · category theory

CategoryTheory.cocones

(J : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    (C : Type u₃) →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        CategoryTheory.Functor (CategoryTheory.Functor J C)ᵒᵖ (CategoryTheory.Functor C (Type (max u₁ v₃)))

Contravariantly associated to each functor J ⥤ C, we have the C-copresheaf consisting of cocones with a given cocone point.

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

5 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category