Theorems · Definition · category theory
CategoryTheory.InjectiveResolution.descFOne
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Abelian C] →
{Y Z : C} →
(Z ⟶ Y) →
(I : CategoryTheory.InjectiveResolution Y) →
(J : CategoryTheory.InjectiveResolution Z) → J.cocomplex.X 1 ⟶ I.cocomplex.X 1Auxiliary construction for desc.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.compproof · cited by 17,999
- HomologicalComplex.Xstatement · cited by 1,839
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- HomologicalComplex.dproof · cited by 598
- CategoryTheory.InjectiveResolutionstatement and proof · cited by 90
- CategoryTheory.InjectiveResolution.cocomplexstatement and proof · cited by 73
- CategoryTheory.ShortComplex.Exact.descToInjectiveproof · cited by 4
- CategoryTheory.InjectiveResolution.exact₀proof · cited by 2
- CategoryTheory.InjectiveResolution.descFZeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.InjectiveResolution.descproof · cited by 6
- CategoryTheory.InjectiveResolution.descFOne_zero_commstatement · cited by 0