Theorems · Definition · category theory

CategoryTheory.Limits.Cone.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} →
          (c : CategoryTheory.Limits.Cone F) → CategoryTheory.Functor J (CategoryTheory.StructuredArrow c.pt F)

Given a cone c over F, we can interpret the legs of c as structured arrows c.pt ⟶ F.obj -.

Defined in

Mathlib.CategoryTheory.Limits.ConeCategory

Cited by

17 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category