Theorems · Theorem · category theory
AddGrpCat.epi_iff_surjective
∀ {A B : AddGrpCat} (f : A ⟶ B), CategoryTheory.Epi f ↔ Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f)- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- AddMonoidHomstatement · cited by 3,230
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.Epistatement and proof · cited by 688
- AddGrpCatstatement and proof · cited by 80
- AddGrpCat.carrierstatement · cited by 67
- CategoryTheory.Functor.epi_of_epi_mapproof · cited by 24
- groupAddGroupEquivalenceproof · cited by 5
- GrpCat.epi_iff_surjectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddGrpCat.epi_iff_range_eq_topproof · cited by 0