Theorems · Theorem · category theory
HomotopyCategory.quasiIso_eq_subcategoryAcyclic_W
Deprecated since 2026-05-06Use HomotopyCategory.quasiIso_eq_trW_subcategoryAcyclic instead.
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C],
HomotopyCategory.quasiIso C (ComplexShape.up ℤ) = (HomotopyCategory.subcategoryAcyclic C).trWAlias of HomotopyCategory.quasiIso_eq_trW_subcategoryAcyclic.
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- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.Abelianstatement · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- HomotopyCategorystatement · cited by 132
- CategoryTheory.ObjectProperty.trWstatement · cited by 32
- HomotopyCategory.quasiIsostatement · cited by 12
- HomotopyCategory.subcategoryAcyclicstatement · cited by 10
- HomotopyCategory.quasiIso_eq_trW_subcategoryAcyclicproof · cited by 2
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