Theorems · Theorem · category theory
GrpCat.epi_iff_surjective
∀ {A B : GrpCat} (f : A ⟶ B), CategoryTheory.Epi f ↔ Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f)- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.ConcreteCategory.homstatement · cited by 4,022
- MonoidHomstatement · cited by 3,629
- CategoryTheory.Epistatement and proof · cited by 688
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement · cited by 125
- CategoryTheory.ConcreteCategory.epi_of_surjectiveproof · cited by 9
- GrpCat.surjective_of_epiproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddGrpCat.epi_iff_surjectiveproof · cited by 1
- GrpCat.epi_iff_range_eq_topproof · cited by 0