Theorems · Theorem · category theory

CategoryTheory.Functor.hasRightDerivedFunctor_iff

∀ {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.HasRightDerivedFunctor W ↔ L.HasLeftKanExtension F

Defined in: Mathlib.CategoryTheory.Functor.Derived.RightDerived
Cited by: 3 results in Mathlib
Foundations: Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.IsLocalization

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Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
CategoryTheory.MorphismProperty.Qproof · cited by 98
CategoryTheory.Functor.HasLeftKanExtensionstatement and proof · cited by 42
CategoryTheory.Localization.compUniqFunctorproof · cited by 16
CategoryTheory.Functor.HasRightDerivedFunctorstatement and proof · cited by 6
CategoryTheory.Functor.hasLeftExtension_iff_postcomp₁proof · cited by 1
CategoryTheory.Functor.HasRightDerivedFunctor.hasLeftKanExtension'proof · cited by 1

Cited by3

Results whose statement or proof uses this declaration.

CategoryTheory.Functor.hasRightDerivedFunctor_iff_of_isoproof · cited by 0
CategoryTheory.Functor.HasRightDerivedFunctor.hasLeftKanExtensionproof · cited by 0
CategoryTheory.Functor.HasRightDerivedFunctor.mk'proof · cited by 0