Theorems · Definition · category theory

CategoryTheory.Functor.RightExtension.IsPointwiseRightKanExtensionAt

{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.RightExtension F → D → Type (max (max (max u_1 v_2) u_4) v_4)

A right extension E : RightExtension L F is a pointwise right Kan extension at Y when E.coneAt Y is a limit cone.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

10 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category