Theorems · Definition · category theory

CategoryTheory.Limits.Cocone.toCostructuredArrowIsoToCostructuredArrow

{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) →
            c.toCostructuredArrow ≅ (CategoryTheory.Functor.id J).toCostructuredArrow F c.pt c.ι.app ⋯

Cocone.toCostructuredArrow can be expressed in terms of Functor.toCostructuredArrow.

Defined in

Mathlib.CategoryTheory.Limits.ConeCategory

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category