Theorems · Definition · category theory

CategoryTheory.Functor.LeftExtension.coconeAt

{C : Type u_1} →
  {D : Type u_2} →
    {H : Type u_4} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
          [inst_2 : CategoryTheory.Category.{v_4, u_4} H] →
            {L : CategoryTheory.Functor C D} →
              {F : CategoryTheory.Functor C H} →
                L.LeftExtension F →
                  (Y : D) → CategoryTheory.Limits.Cocone ((CategoryTheory.CostructuredArrow.proj L Y).comp F)

The cocone for CostructuredArrow.proj L Y ⋙ F attached to E : LeftExtension L F. The point of this cocone is E.right.obj Y

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

20 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category