Theorems · Inductive type · category theory
CategoryTheory.StrongMono
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → {P Q : C} → (P ⟶ Q) → PropA strong monomorphism f is a monomorphism which has the right lifting property
with respect to epimorphisms.
- Cited by
- 11 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 by15
Results whose statement or proof uses this declaration.
- CategoryTheory.RegularMono.strongMonostatement · cited by 1
- CategoryTheory.isIso_of_epi_of_strongMonostatement and proof · cited by 1
- CategoryTheory.StrongMono.iff_of_arrow_isostatement and proof · cited by 1
- CategoryTheory.StrongMono.mk'statement · cited by 1
- CategoryTheory.StrongMono.of_arrow_isostatement and proof · cited by 1
- CategoryTheory.StrongMonoCategory.strongMono_of_monostatement · cited by 1
- CategoryTheory.Adjunction.strongMono_map_of_strongMonostatement and proof · cited by 0
- CategoryTheory.strongMono_of_monostatement · cited by 0
- CategoryTheory.strongMono_of_strongMonostatement and proof · cited by 0
- CategoryTheory.StrongMono.casesOnstatement and proof · cited by 0
- CategoryTheory.StrongMono.recOnstatement and proof · cited by 0
- CategoryTheory.StrongMonoCategory.casesOnstatement and proof · cited by 0