Theorems · Theorem · category theory
CategoryTheory.ShortComplex.HomologyMapData.op_right
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S₁ S₂ : CategoryTheory.ShortComplex C} {φ : S₁ ⟶ S₂} {h₁ : S₁.HomologyData} {h₂ : S₂.HomologyData}
(ψ : CategoryTheory.ShortComplex.HomologyMapData φ h₁ h₂), ψ.op.right = ψ.left.op- Cited by
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- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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 · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.HomologyData.leftstatement · cited by 130
- CategoryTheory.ShortComplex.HomologyDatastatement and proof · cited by 102
- CategoryTheory.ShortComplex.opstatement · cited by 88
- CategoryTheory.ShortComplex.RightHomologyMapDatastatement · cited by 66
- CategoryTheory.ShortComplex.opMapstatement · cited by 42
- CategoryTheory.ShortComplex.HomologyMapDatastatement and proof · cited by 27
- CategoryTheory.ShortComplex.HomologyMapData.leftstatement · cited by 25
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