Theorems · Inductive type · category theory

CategoryTheory.Limits.IsColimit

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

A cocone t on F is a colimit cocone if each cocone on F admits a unique cocone morphism from t.

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

773 results in Mathlib

Foundations

Depth 3 from the axioms, rests on 4 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category