Theorems · Definition · category theory
CategoryTheory.ProjectiveResolution.complex
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasZeroObject C] →
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
{Z : C} → CategoryTheory.ProjectiveResolution Z → ChainComplex C ℕthe chain complex involved in the resolution
- Cited by
- 82 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- ChainComplexstatement · cited by 350
- CategoryTheory.ProjectiveResolutionstatement and proof · cited by 92
Cited by120
Results whose statement or proof uses this declaration.
- CategoryTheory.ProjectiveResolution.πstatement · cited by 50
- CategoryTheory.ProjectiveResolution.cochainComplexproof · cited by 30
- CategoryTheory.ProjectiveResolution.cochainComplexXIsostatement and proof · cited by 18
- CategoryTheory.ProjectiveResolution.extMkstatement and proof · cited by 11
- CategoryTheory.ProjectiveResolution.cochainComplex_dstatement and proof · cited by 8
- CategoryTheory.ProjectiveResolution.isoLeftDerivedObjstatement and proof · cited by 8
- CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObjstatement and proof · cited by 8
- CategoryTheory.ProjectiveResolution.Hom.homstatement · cited by 8
- CategoryTheory.ProjectiveResolution.isostatement · cited by 7
- CategoryTheory.projectiveResolutionsproof · cited by 7
- CategoryTheory.ProjectiveResolution.liftstatement and proof · cited by 6
- CategoryTheory.ProjectiveResolution.fromLeftDerivedZero'statement and proof · cited by 5