Theorems · Theorem · category theory
CompHaus.epi_iff_surjective
∀ {X Y : CompHaus} (f : X ⟶ Y), CategoryTheory.Epi f ↔ Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f)- Defined in
- Mathlib.Topology.Category.CompHaus.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites57
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- CategoryTheory.Categoryproof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- Realproof · cited by 25,697
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Set.Elemproof · cited by 7,166
- Set.rangeproof · cited by 4,705
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- FunLikeproof · cited by 2,560
- ContinuousMapstatement and proof · cited by 2,491
Cited by2
Results whose statement or proof uses this declaration.
- CompHaus.effectiveEpiFamily_tfaeproof · cited by 3
- CompHaus.effectiveEpi_tfaeproof · cited by 2