Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.monoModSerre_of_mono
∀ {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) [CategoryTheory.Mono f],
P.monoModSerre f- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.IsSerreClassstatement and proof · cited by 61
- CategoryTheory.ObjectProperty.monoModSerrestatement · cited by 16
- CategoryTheory.MorphismProperty.monomorphisms.infer_propertyproof · cited by 6
- CategoryTheory.ObjectProperty.monomorphisms_le_monoModSerreproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.isoModSerre_iff_of_monoproof · cited by 3
- CategoryTheory.ObjectProperty.exists_comp_monoModSerre_eq_zero_iffproof · cited by 2
- CategoryTheory.ObjectProperty.isomorphisms_le_isoModSerreproof · cited by 1