Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isoModSerre_iff_of_epi
∀ {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.Epi f],
P.isoModSerre f ↔ P.monoModSerre f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.ObjectProperty.IsSerreClassstatement and proof · cited by 61
- CategoryTheory.ObjectProperty.isoModSerrestatement · cited by 50
- CategoryTheory.ObjectProperty.monoModSerrestatement and proof · cited by 16
- CategoryTheory.ObjectProperty.epiModSerreproof · cited by 16
- CategoryTheory.ObjectProperty.epiModSerre_of_epiproof · cited by 4
- CategoryTheory.ObjectProperty.isoModSerre_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.monoModSerre.isoModSerre_factorThruImageproof · cited by 1
- CategoryTheory.ObjectProperty.exists_comp_isoModSerre_eq_zero_iffproof · cited by 1
- CategoryTheory.ObjectProperty.isoModSerre_of_epiproof · cited by 0