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Theorems · Theorem · category theory

CategoryTheory.Functor.HasLeftDerivedFunctor.hasRightKanExtension

∀ {C : Type u_1} {D : Type u_3} {H : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_3, u_3} D] [inst_2 : CategoryTheory.Category.{v_5, u_2} H]
  (F : CategoryTheory.Functor C H) (L : CategoryTheory.Functor C D) (W : CategoryTheory.MorphismProperty C)
  [L.IsLocalization W] [F.HasLeftDerivedFunctor W], L.HasRightKanExtension F
Defined in
Mathlib.CategoryTheory.Functor.Derived.LeftDerived
Cited by
0 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalizationCategoryTheory.Functor.HasLeftDerivedFunctor
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Functor.totalLeftDerived · cited by 0Functor.totalLeftDerivedCategoryTheory.Functor.totalLeftDerivedCounit · cited by 0Functor.totalLeftDerivedC…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Functor.IsLocalization · cited by 432Functor.IsLocalizationCategoryTheory.Functor.HasRightKanExtension · cited by 38Functor.HasRightKanExtens…CategoryTheory.Functor.HasLeftDerivedFunctor · cited by 5Functor.HasLeftDerivedFun…CategoryTheory.Functor.hasLeftDerivedFunctor_iff · cited by 3Functor.hasLeftDerivedFun…HasLeftDerivedFunctor.hasRigh…CITED BYCITES

Cites7

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Cited by2

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