Theorems · Theorem · category theory
CategoryTheory.Abelian.imageStrongEpiMonoFactorisation_e
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {P Q : C} (f : P ⟶ Q),
(CategoryTheory.Abelian.imageStrongEpiMonoFactorisation f).e = CategoryTheory.Abelian.factorThruImage f- Defined in
- Mathlib.CategoryTheory.Abelian.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Abelian.imagestatement · cited by 57
- CategoryTheory.Limits.MonoFactorisation.estatement and proof · cited by 39
- CategoryTheory.Abelian.factorThruImagestatement · cited by 20
- CategoryTheory.Limits.StrongEpiMonoFactorisation.toMonoFactorisationstatement and proof · cited by 18
- CategoryTheory.Abelian.nonPreadditiveAbelianstatement · cited by 16
- CategoryTheory.Abelian.imageStrongEpiMonoFactorisationstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.imageIsoImage_invproof · cited by 0