Theorems · Inductive type · category theory

CategoryTheory.Functor.IsRightKanExtension

{C : Type u_1} →
  {H : Type u_3} →
    {D : Type u_4} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Category.{v_3, u_3} H] →
          [inst_2 : CategoryTheory.Category.{v_4, u_4} D] →
            (F' : CategoryTheory.Functor D H) →
              {L : CategoryTheory.Functor C D} → {F : CategoryTheory.Functor C H} → (L.comp F' ⟶ F) → Prop

Given α : L ⋙ F' ⟶ F, the property F'.IsRightKanExtension α asserts that (F', α) is a terminal object in the category RightExtension L F, i.e. that (F', α) is a right Kan extension of F along L.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

46 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category