Theorems · Theorem · category theory
HomotopyCategory.Plus.quasiIso_iff
∀ (A : Type u_3) [inst : CategoryTheory.Category.{v_3, u_3} A] [inst_1 : CategoryTheory.Abelian A]
{K L : HomotopyCategory.Plus A} (f : K ⟶ L),
HomotopyCategory.Plus.quasiIso A f ↔ HomotopyCategory.quasiIso A (ComplexShape.up ℤ) f.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Abelianstatement and proof · cited by 1,753
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- ComplexShape.upstatement · cited by 1,123
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- HomotopyCategorystatement · cited by 132
- HomotopyCategory.quasiIsostatement · cited by 12
- HomotopyCategory.plusstatement · cited by 9
- HomotopyCategory.Plusstatement and proof · cited by 8
- HomotopyCategory.Plus.quasiIsostatement · cited by 3
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