Theorems · Definition · category theory

CategoryTheory.Limits.Cone.fromStructuredArrow

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {D : Type u₄} →
          [inst_2 : CategoryTheory.Category.{v₄, u₄} D] →
            (F : CategoryTheory.Functor C D) →
              {X : D} →
                (G : CategoryTheory.Functor J (CategoryTheory.StructuredArrow X F)) →
                  CategoryTheory.Limits.Cone (G.comp ((CategoryTheory.StructuredArrow.proj X F).comp F))

Given a diagram of StructuredArrow X Fs, we may obtain a cone with cone point X.

Defined in

Mathlib.CategoryTheory.Limits.ConeCategory

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category