Structures · Category theory
CategoryTheory.Limits.HasImage
HasImage f means that there exists an image factorisation of f.
- Shape
- One type argument · adds exists_image
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by1
Forgetful instances
Provided automatically by
Concrete types that are instances0
No instance on a concrete type; it is reached through other classes.
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Assumed by143
- CategoryTheory.Limits.image
- CategoryTheory.Limits.image.ι
- CategoryTheory.Limits.factorThruImage
- CategoryTheory.Limits.imageSubobject
- CategoryTheory.Limits.image.fac
- imageToKernel
- CategoryTheory.Limits.imageSubobjectIso
- CategoryTheory.Limits.image.lift
- imageToKernel_arrow
- CategoryTheory.Limits.Image.monoFactorisation
- CategoryTheory.Limits.Image.isImage
- CategoryTheory.Limits.image.map
- CategoryTheory.Limits.image.lift_fac
- CategoryTheory.Limits.ImageMap.map
- CategoryTheory.Limits.factorThruImageSubobject
- CategoryTheory.Limits.image.preComp
- CategoryTheory.Limits.image.compIso
- CategoryTheory.Limits.imageSubobject_arrow'
- CategoryTheory.Limits.imageSubobject_arrow
- CategoryTheory.Limits.imageSubobjectCompIso
- CategoryTheory.Limits.image.fac_assoc
- CategoryTheory.Limits.image.fac_lift
- CategoryTheory.Limits.kernelFactorThruImage
- CategoryTheory.Limits.HasImageMap.imageMap
- CategoryTheory.Limits.imageSubobject_arrow_comp
- CategoryTheory.Limits.imageSubobjectMap
- CategoryTheory.Limits.IsImage.lift_ι
- CategoryTheory.Limits.ImageMap.map_ι
- CategoryTheory.Limits.image.eqToIso
- CategoryTheory.Limits.image.lift_mk_comp
- CategoryTheory.Limits.image.map_ι
- CategoryTheory.Limits.imageSubobject_comp_le
- CategoryTheory.Limits.imageSubobject_arrow_assoc
- CategoryTheory.Limits.image.preComp_ι
- CategoryTheory.MonoOver.imageMonoOver
- CategoryTheory.Limits.image.compIso_hom_comp_image_ι
- CategoryTheory.Limits.cokernelImageι
- CategoryTheory.Limits.kernelFactorThruImage_hom_comp_ι
- CategoryTheory.Limits.image.compIso_inv_comp_image_ι
- CategoryTheory.Limits.image.fac_lift_assoc
- CategoryTheory.Limits.imageSubobject_iso_comp
- CategoryTheory.Limits.ImageMap.factor_map
- CategoryTheory.Limits.eq_zero_of_image_eq_zero
- CategoryTheory.Limits.imageMapComp
- CategoryTheory.Limits.image.ι_zero
- CategoryTheory.Limits.image.lift_mk_factorThruImage
- CategoryTheory.Limits.imageSubobjectMap_arrow
- CategoryTheory.Limits.ImageMap.map_uniq_aux
- CategoryTheory.Limits.imageMapId
- CategoryTheory.Limits.imageSubobject_arrow_comp_assoc
Ancestors0
No ancestors.