Theorems · Definition · category theory

CategoryTheory.Limits.Cocone.toStructuredArrow

{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.Functor (CategoryTheory.Limits.Cocone F)
            (CategoryTheory.StructuredArrow F (CategoryTheory.Functor.const J))

Construct an object of the category (F ↓ Δ) from a cocone on F. This is part of an equivalence, see Cocone.equivStructuredArrow.

Defined in

Mathlib.CategoryTheory.Limits.ConeCategory

Cited by

5 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category