Theorems · Theorem · category theory

CategoryTheory.Functor.hasPointwiseRightDerivedFunctorAt_iff_of_mem

∀ {C : Type u₁} {H : Type u₃} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₃, u₃} H]
  (F : CategoryTheory.Functor C H) (W : CategoryTheory.MorphismProperty C) {X Y : C} (w : X ⟶ Y),
  W w → (F.HasPointwiseRightDerivedFunctorAt W X ↔ F.HasPointwiseRightDerivedFunctorAt W Y)

Defined in: Mathlib.CategoryTheory.Functor.Derived.PointwiseRightDerived
Cited by: 1 results in Mathlib
Foundations: Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category

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Cites9

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
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.MorphismProperty.Qproof · cited by 98
CategoryTheory.Localization.isoOfHomproof · cited by 35
CategoryTheory.Functor.hasPointwiseLeftKanExtensionAt_iff_of_isoproof · cited by 5
CategoryTheory.Functor.HasPointwiseRightDerivedFunctorAtstatement · cited by 5
CategoryTheory.Functor.hasPointwiseRightDerivedFunctorAt_iffproof · cited by 5

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.LocalizerMorphism.hasPointwiseRightDerivedFunctor_iff_of_isRightDerivabilityStructureproof · cited by 1