Theorems · Definition · category theory

CategoryTheory.Functor.RightExtension.IsPointwiseRightKanExtension.homTo

{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} →
                {E : L.RightExtension F} → E.IsPointwiseRightKanExtension → (G : L.RightExtension F) → G ⟶ E

The (unique) morphism to a pointwise right Kan extension.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category