Theorems · Definition · category theory

CategoryTheory.Limits.CoconeMorphism.hom

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

A morphism between the (co)vertex objects in C

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

137 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 11 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category