Theorems · Theorem · category theory
CategoryTheory.ShortComplex.cyclesMapIso_hom
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S₁ S₂ : CategoryTheory.ShortComplex C} (e : S₁ ≅ S₂) [inst_2 : S₁.HasLeftHomology] [inst_3 : S₂.HasLeftHomology],
(CategoryTheory.ShortComplex.cyclesMapIso e).hom = CategoryTheory.ShortComplex.cyclesMap e.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 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 · cited by 32,603
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.cyclesstatement · cited by 220
- CategoryTheory.ShortComplex.HasLeftHomologystatement and proof · cited by 132
- CategoryTheory.ShortComplex.cyclesMapstatement · cited by 42
- CategoryTheory.ShortComplex.cyclesMapIsostatement and proof · cited by 4
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