Theorems · Inductive type · category theory
CategoryTheory.IsNormalMonoCategory
(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.Limits.HasZeroMorphisms C] → PropA normal mono category is a category in which every monomorphism is normal.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
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
- CategoryTheory.Limits.HasZeroMorphismsstatement · cited by 3,275
Cited by23
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.SerreClassLocalization.abelianproof · cited by 6
- CategoryTheory.normalMonoOfMonostatement and proof · cited by 3
- CategoryTheory.NormalMonoCategory.epi_of_zero_cokernelstatement and proof · cited by 2
- CategoryTheory.NormalMonoCategory.preservesEpimorphisms_of_preservesCokernelsstatement and proof · cited by 1
- CategoryTheory.NonPreadditiveAbelian.casesOnstatement and proof · cited by 0
- CategoryTheory.Abelian.OfCoimageImageComparisonIsIso.isNormalMonoCategorystatement · cited by 0
- CategoryTheory.NonPreadditiveAbelian.mk.noConfusionstatement and proof · cited by 0
- CategoryTheory.NonPreadditiveAbelian.noConfusionproof · cited by 0
- CategoryTheory.NonPreadditiveAbelian.noConfusionTypeproof · cited by 0
- CategoryTheory.NonPreadditiveAbelian.recOnstatement and proof · cited by 0
- CategoryTheory.Abelian.noConfusionproof · cited by 0
- CategoryTheory.Abelian.noConfusionTypeproof · cited by 0