Theorems · Definition · category theory

CategoryTheory.Functor.PreservesPointwiseRightKanExtension

{A : Type u_1} →
  {B : Type u_2} →
    {C : Type u_3} →
      {D : Type u_4} →
        [inst : CategoryTheory.Category.{v_1, u_1} A] →
          [inst_1 : CategoryTheory.Category.{v_2, u_2} B] →
            [inst_2 : CategoryTheory.Category.{v_3, u_3} C] →
              [inst_3 : CategoryTheory.Category.{v_4, u_4} D] →
                CategoryTheory.Functor B D → CategoryTheory.Functor A B → CategoryTheory.Functor A C → Prop

G.PreservesRightKanExtensions L asserts that G preserves all pointwise right Kan extensions of F along L for every F.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Preserves

Cited by

8 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category