Theorems · Inductive type · category theory
CategoryTheory.StrongEpi
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → {P Q : C} → (P ⟶ Q) → PropA strong epimorphism f is an epimorphism which has the left lifting property
with respect to monomorphisms.
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
Cited by33
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.image.isoStrongEpiMonostatement and proof · cited by 5
- CategoryTheory.strongEpi_of_epistatement · cited by 3
- CategoryTheory.Limits.image.isoStrongEpiMono_hom_comp_ιstatement and proof · cited by 3
- SimplexCategory.image_ι_eqproof · cited by 2
- CategoryTheory.Limits.StrongEpiMonoFactorisation.mk.injstatement and proof · cited by 1
- CategoryTheory.Limits.StrongEpiMonoFactorisation.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.isIso_of_mono_of_strongEpistatement and proof · cited by 1
- SimplexCategory.image_eqproof · cited by 1
- CategoryTheory.StrongEpi.iff_of_arrow_isostatement and proof · cited by 1
- CategoryTheory.StrongEpi.of_arrow_isostatement and proof · cited by 1
- CategoryTheory.StrongEpiCategory.strongEpi_of_epistatement · cited by 1