Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.monoModSerre.isoModSerre_factorThruImage
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
{P : CategoryTheory.ObjectProperty C} [inst_2 : P.IsSerreClass] {X Y : C} {f : X ⟶ Y},
P.monoModSerre f → P.isoModSerre (CategoryTheory.Abelian.factorThruImage f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Limits.cokernelstatement · cited by 229
- CategoryTheory.Limits.cokernel.πstatement and proof · cited by 194
- CategoryTheory.asIsoproof · cited by 177
- CategoryTheory.ObjectProperty.IsSerreClassstatement and proof · cited by 61
- CategoryTheory.Abelian.imagestatement · cited by 57
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.SerreClassLocalization.mono_iffproof · cited by 1