Theorems · Theorem · category theory
HomotopyEquiv.isKProjective
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
{K₁ K₂ : CochainComplex C ℤ} (e : HomotopyEquiv K₁ K₂) [K₁.IsKProjective], K₂.IsKProjective- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CategoryTheory.Limits.comp_zeroproof · cited by 365
- HomotopyEquiv.homproof · cited by 45
- HomotopyEquiv.invproof · cited by 31
- HomologicalComplex.Acyclicproof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- CochainComplex.isKProjective_of_isoproof · cited by 2