Theorems · Theorem · category theory

CategoryTheory.Functor.HasPointwiseLeftDerivedFunctorAt.hasLimit

∀ {C : Type u₁} {D : Type u₂} {H : Type u₃} [inst : CategoryTheory.Category.{v₁, u₁} C]
  [inst_1 : CategoryTheory.Category.{v₂, u₂} D] [inst_2 : CategoryTheory.Category.{v₃, u₃} H]
  (F : CategoryTheory.Functor C H) (L : CategoryTheory.Functor C D) (W : CategoryTheory.MorphismProperty C)
  [L.IsLocalization W] (X : C) [F.HasPointwiseLeftDerivedFunctorAt W X], L.HasPointwiseRightKanExtensionAt F (L.obj X)

Defined in: Mathlib.CategoryTheory.Functor.Derived.PointwiseLeftDerived
Cited by: 0 results in Mathlib
Foundations: Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.IsLocalization CategoryTheory.Functor.HasPointwiseLeftDerivedFunctorAt

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
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.Functor.HasPointwiseRightKanExtensionAtstatement · cited by 9
CategoryTheory.Functor.hasPointwiseLeftDerivedFunctorAt_iffproof · cited by 4
CategoryTheory.Functor.HasPointwiseLeftDerivedFunctorAtstatement and proof · cited by 4

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