Theorems · Theorem · category theory
CochainComplex.isKProjective_of_iso
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
{K₁ K₂ : CochainComplex C ℤ} (e : K₁ ≅ K₂) [K₁.IsKProjective], K₂.IsKProjective- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Isostatement and proof · cited by 3,963
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.IsKProjectivestatement and proof · cited by 15
- HomotopyEquiv.ofIsoproof · cited by 3
- HomotopyEquiv.isKProjectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CochainComplex.isKProjective_shift_iffproof · cited by 0
- CochainComplex.isKProjective_iff_of_isoproof · cited by 0