Theorems · Theorem · category theory
CategoryTheory.Subfunctor.epi_iff_range_eq_top
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F F' : CategoryTheory.Functor C (Type w)} (p : F' ⟶ F),
CategoryTheory.Epi p ↔ CategoryTheory.Subfunctor.range p = ⊤- Defined in
- Mathlib.CategoryTheory.Subfunctor.Image
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Top.topstatement · cited by 9,680
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Set.univproof · cited by 3,945
- CategoryTheory.Epistatement · cited by 688
- CategoryTheory.Subfunctorstatement · cited by 112
- CategoryTheory.Subfunctor.rangestatement · cited by 46
- CategoryTheory.Subfunctor.range_objproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Subfunctor.range_eq_topproof · cited by 1