Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isomorphisms_le_isoModSerre
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
(P : CategoryTheory.ObjectProperty C) [inst_2 : P.IsSerreClass],
CategoryTheory.MorphismProperty.isomorphisms C ≤ P.isoModSerre- Cited by
- 1 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.Homproof · cited by 32,603
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.IsIsoproof · cited by 1,156
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.MorphismProperty.isomorphismsstatement · cited by 66
- CategoryTheory.ObjectProperty.IsSerreClassstatement and proof · cited by 61
- CategoryTheory.ObjectProperty.isoModSerrestatement · cited by 50
- CategoryTheory.ObjectProperty.monoModSerre_of_monoproof · cited by 4
- CategoryTheory.ObjectProperty.epiModSerre_of_epiproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.isoModSerre_of_isIsoproof · cited by 0