Theorems · Theorem · category theory
CommGrpCat.epi_iff_range_eq_top
∀ {A B : CommGrpCat} (f : A ⟶ B), CategoryTheory.Epi f ↔ (CommGrpCat.Hom.hom f).range = ⊤- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 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.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement and proof · cited by 9,680
- Subgroupstatement · cited by 3,593
- CategoryTheory.Epistatement and proof · cited by 688
- MonoidHom.rangestatement and proof · cited by 314
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement · cited by 59
- MonoidHom.range_eq_topproof · cited by 29
- CommGrpCat.Hom.homstatement and proof · cited by 26
- CategoryTheory.ConcreteCategory.epi_of_surjectiveproof · cited by 9
- CommGrpCat.range_eq_top_of_epiproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CommGrpCat.epi_iff_surjectiveproof · cited by 0