Theorems · Theorem · category theory
CommGrpCat.range_eq_top_of_epi
∀ {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 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Epi
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement · cited by 9,680
- MonoidHomproof · cited by 3,629
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientproof · cited by 2,301
- CategoryTheory.Epistatement and proof · cited by 688
- MonoidHom.compproof · cited by 469
- CategoryTheory.cancel_epiproof · cited by 380
- MonoidHom.rangestatement and proof · cited by 314
- CategoryTheory.ConcreteCategory.extproof · cited by 107
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement and proof · cited by 59
Cited by1
Results whose statement or proof uses this declaration.
- CommGrpCat.epi_iff_range_eq_topproof · cited by 1