Theorems · Inductive type · category theory
CategoryTheory.Limits.HasImages
(C : Type u) → [CategoryTheory.Category.{v, u} C] → PropHasImages asserts that every morphism has an image.
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by65
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.existsstatement and proof · cited by 9
- CategoryTheory.PreservesImage.isostatement and proof · cited by 9
- imageToKernel'statement and proof · cited by 6
- CategoryTheory.Subobject.imageFactorisationstatement and proof · cited by 4
- CategoryTheory.Limits.HasImageMapsstatement · cited by 3
- CategoryTheory.MonoOver.imagestatement and proof · cited by 3
- CategoryTheory.PreservesImage.iso_homstatement and proof · cited by 2
- CategoryTheory.Subobject.sSupstatement and proof · cited by 2
- CategoryTheory.Limits.imstatement and proof · cited by 2
- CategoryTheory.MonoOver.existsstatement and proof · cited by 1
- CategoryTheory.MonoOver.existsIsoMapstatement and proof · cited by 1
- CategoryTheory.Limits.HasStrongEpiImagesstatement · cited by 1