Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.epimorphisms.infer_property
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) [hf : CategoryTheory.Epi f],
CategoryTheory.MorphismProperty.epimorphisms C f- Cited by
- 3 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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.MorphismProperty.epimorphismsstatement · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.epiModSerre_of_epiproof · cited by 4
- HomologicalComplex.epi_homologyMap_of_epi_of_not_relproof · cited by 3
- CategoryTheory.ObjectProperty.SerreClassLocalization.epi_iffproof · cited by 1