Theorems · Definition · category theory

CategoryTheory.Limits.Cocone.extensions

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {F : CategoryTheory.Functor J C} →
          (c : CategoryTheory.Limits.Cocone F) →
            (CategoryTheory.coyoneda.obj (Opposite.op c.pt)).comp CategoryTheory.uliftFunctor.{u₁, v₃} ⟶ F.cocones

A map from the vertex of a cocone naturally induces a cocone by composition.

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category