Theorems · Theorem · category theory
CategoryTheory.ShortComplex.quasiIso_unopMap
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S₁ S₂ : CategoryTheory.ShortComplex Cᵒᵖ} [inst_2 : S₁.HasHomology] [inst_3 : S₂.HasHomology]
[inst_4 : S₁.unop.HasHomology] [inst_5 : S₂.unop.HasHomology] (φ : S₁ ⟶ S₂) [CategoryTheory.ShortComplex.QuasiIso φ],
CategoryTheory.ShortComplex.QuasiIso (CategoryTheory.ShortComplex.unopMap φ)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.HasHomologystatement and proof · cited by 253
- CategoryTheory.ShortComplex.unopstatement and proof · cited by 44
- CategoryTheory.ShortComplex.QuasiIsostatement and proof · cited by 35
- CategoryTheory.ShortComplex.unopMapstatement and proof · cited by 16
- CategoryTheory.ShortComplex.quasiIso_opMap_iffproof · cited by 4
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