Structures · Category theory
CategoryTheory.HasInjectiveResolutions
You will rarely use this typeclass directly: it is implied by the combination
[EnoughInjectives C] and [Abelian C].
- Shape
- One type argument · adds out
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by0
Nothing extends this class yet.
Forgetful instances
Every CategoryTheory.HasInjectiveResolutions is also a
Concrete types that are instances0
No instance on a concrete type; it is reached through other classes.
How is a type an instance?
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Assumed by47
- CategoryTheory.Functor.rightDerived
- CategoryTheory.Functor.rightDerivedToHomotopyCategory
- CategoryTheory.Functor.rightDerivedZeroIsoSelf
- CategoryTheory.Functor.toRightDerivedZero
- CategoryTheory.InjectiveResolution.isoRightDerivedObj
- CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj
- CategoryTheory.InjectiveResolution.iso
- CategoryTheory.injectiveResolutions
- CategoryTheory.NatTrans.rightDerivedToHomotopyCategory
- CategoryTheory.NatTrans.rightDerived
- CategoryTheory.InjectiveResolution.iso_hom_naturality
- CategoryTheory.InjectiveResolution.isoRightDerivedObj_hom_naturality
- CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj_hom_naturality
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_inv_hom_id
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_inv_hom_id_app
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_hom_inv_id
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_hom_inv_id_app
- CategoryTheory.InjectiveResolution.isoRightDerivedObj_inv_naturality
- CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj_inv_naturality
- CategoryTheory.InjectiveResolution.iso_inv_naturality
- CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj_hom_naturality_assoc
- CategoryTheory.NatTrans.rightDerivedToHomotopyCategory_comp
- CategoryTheory.InjectiveResolution.rightDerivedToHomotopyCategory_app_eq
- CategoryTheory.NatTrans.rightDerived_comp
- CategoryTheory.instIsIsoFunctorToRightDerivedZero
- CategoryTheory.Functor.rightDerived_map_eq
- CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj_inv_naturality_assoc
- CategoryTheory.instIsIsoAppToRightDerivedZero
- CategoryTheory.NatTrans.rightDerivedToHomotopyCategory_id
- CategoryTheory.Functor.isZero_rightDerived_obj_injective_succ
- CategoryTheory.HasInjectiveResolutions.out
- CategoryTheory.Functor.rightDerivedZeroIsoSelf.congr_simp
- CategoryTheory.InjectiveResolution.toRightDerivedZero_eq
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_hom_inv_id_assoc
- CategoryTheory.InjectiveResolution.rightDerived_app_eq
- CategoryTheory.InjectiveResolution.isoRightDerivedObj_hom_naturality_assoc
- CategoryTheory.NatTrans.rightDerived_comp_assoc
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_inv_hom_id_app_assoc
- CategoryTheory.NatTrans.rightDerived_id
- CategoryTheory.InjectiveResolution.isoRightDerivedObj_inv_naturality_assoc
- CategoryTheory.InjectiveResolution.iso_inv_naturality_assoc
- CategoryTheory.InjectiveResolution.iso_hom_naturality_assoc
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_inv
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_inv_hom_id_assoc
- CategoryTheory.NatTrans.rightDerivedToHomotopyCategory_comp_assoc
- CategoryTheory.instIsIsoAppToRightDerivedZeroOfInjective
- CategoryTheory.Functor.rightDerivedZeroIsoSelf_hom_inv_id_app_assoc