Theorems · Theorem · category theory

CategoryTheory.Functor.IsRightDerivedFunctor.isLeftKanExtension

∀ {C : Type u_1} {D : Type u_2} {H : Type u_3} {inst : CategoryTheory.Category.{v_1, u_1} C}
  {inst_1 : CategoryTheory.Category.{v_3, u_2} D} {inst_2 : CategoryTheory.Category.{v_5, u_3} H}
  (RF : CategoryTheory.Functor D H) {F : CategoryTheory.Functor C H} {L : CategoryTheory.Functor C D}
  (α : F ⟶ L.comp RF) (W : CategoryTheory.MorphismProperty C) {inst_3 : L.IsLocalization W}
  [self : RF.IsRightDerivedFunctor α W], RF.IsLeftKanExtension α

Defined in

Mathlib.CategoryTheory.Functor.Derived.RightDerived

Cited by

6 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Functor.IsRightDerivedFunctor