Theorems · Theorem · category theory
AddGrpCat.epi_iff_range_eq_top
∀ {A B : AddGrpCat} (f : A ⟶ B), CategoryTheory.Epi f ↔ (AddGrpCat.Hom.hom f).range = ⊤- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- AddSubgroupstatement · cited by 3,232
- CategoryTheory.Epistatement · cited by 688
- AddMonoidHom.rangestatement and proof · cited by 142
- AddGrpCatstatement and proof · cited by 80
- AddGrpCat.carrierstatement · cited by 67
- AddGrpCat.Hom.homstatement and proof · cited by 20
- AddSubgroup.eq_top_iff'proof · cited by 11
- AddGrpCat.epi_iff_surjectiveproof · cited by 1
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