Theorems · Theorem · category theory
CategoryTheory.ShortComplex.HomologyMapData.unop_left
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S₁ S₂ : CategoryTheory.ShortComplex Cᵒᵖ} {φ : S₁ ⟶ S₂} {h₁ : S₁.HomologyData} {h₂ : S₂.HomologyData}
(ψ : CategoryTheory.ShortComplex.HomologyMapData φ h₁ h₂), ψ.unop.left = ψ.right.unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 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.HomologyDatastatement and proof · cited by 102
- CategoryTheory.ShortComplex.HomologyData.rightstatement · cited by 99
- CategoryTheory.ShortComplex.LeftHomologyMapDatastatement · cited by 66
- CategoryTheory.ShortComplex.unopstatement · cited by 44
- CategoryTheory.ShortComplex.HomologyMapDatastatement and proof · cited by 27
- CategoryTheory.ShortComplex.HomologyMapData.leftstatement and proof · cited by 25
- CategoryTheory.ShortComplex.HomologyMapData.rightstatement · cited by 23
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.