Theorems · Definition · category theory
CategoryTheory.Functor.HasPointwiseRightDerivedFunctor
{C : Type u₁} →
{H : Type u₃} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.Category.{v₃, u₃} H] →
CategoryTheory.Functor C H → CategoryTheory.MorphismProperty C → PropA functor F : C ⥤ H has a pointwise right derived functor with respect to
W : MorphismProperty C if it has a pointwise right derived functor at X
for any X : C.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.HasPointwiseRightDerivedFunctorAtproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.LocalizerMorphism.Derives.isIso_of_isRightDerivedFunctorproof · cited by 3
- CategoryTheory.Functor.hasPointwiseRightDerivedFunctor_of_invertsstatement · cited by 2
- CategoryTheory.LocalizerMorphism.isIso_iff_of_isRightDerivabilityStructurestatement and proof · cited by 1
- CategoryTheory.LocalizerMorphism.Derives.hasPointwiseRightDerivedFunctorstatement · cited by 1
- CategoryTheory.LocalizerMorphism.Derives.isRightDerivedFunctor_of_isIsoproof · cited by 1
- CategoryTheory.LocalizerMorphism.hasPointwiseRightDerivedFunctor_iff_of_isRightDerivabilityStructurestatement and proof · cited by 1
- CategoryTheory.Functor.hasPointwiseLeftKanExtension_of_hasPointwiseRightDerivedFunctorstatement and proof · cited by 0
- CategoryTheory.Functor.isPointwiseLeftKanExtensionOfHasPointwiseRightDerivedFunctorstatement and proof · cited by 0